0.155
                                                                          0.422
                                                                          0.877
                                                                          0.975

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.024
                                                                          0.115
                                                                          0.535
                                                                          0.798

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.004
                                                                          0.017
                                                                          0.207
                                                                          0.373

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.007
                                                                          0.013
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.256
                                                                          0.592
                                                                          0.953
                                                                          0.993

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.031
                                                                          0.190
                                                                          0.681
                                                                          0.873

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.041
                                                                          0.288
                                                                          0.413

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.008
                                                                          0.010
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.378
                                                                          0.734
                                                                          0.976
                                                                          0.996

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.066
                                                                          0.303
                                                                          0.795
                                                                          0.894

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.008
                                                                          0.073
                                                                          0.323
                                                                          0.394

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.003
                                                                          0.003
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.510
                                                                          0.859
                                                                          0.995
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.098
                                                                          0.409
                                                                          0.865
                                                                          0.911

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.014
                                                                          0.100
                                                                          0.367
                                                                          0.410

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.003
                                                                          0.003
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.636
                                                                          0.925
                                                                          0.996
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.141
                                                                          0.545
                                                                          0.908
                                                                          0.925

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.017
                                                                          0.150
                                                                          0.393
                                                                          0.407

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.002
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.782
                                                                          0.967
                                                                          0.998
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.231
                                                                          0.659
                                                                          0.923
                                                                          0.931

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.041
                                                                          0.216
                                                                          0.381
                                                                          0.391

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.002
                                                                          0.002

      Table A1.3-7
Animal random effects and day random effects assumed to be Weibull distributions
            N per Day = 100+-10, CP = 0.60, SubVar = 1, DayVar=0.5
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              6
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.143
                                                                          0.365
                                                                          0.802
                                                                          0.949

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.019
                                                                          0.093
                                                                          0.453
                                                                          0.782

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.003
                                                                          0.016
                                                                          0.176
                                                                          0.432

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.009
                                                                          0.017
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.219
                                                                          0.505
                                                                          0.884
                                                                          0.961

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.031
                                                                          0.157
                                                                          0.608
                                                                          0.875

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.004
                                                                          0.035
                                                                          0.242
                                                                          0.485

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.009
                                                                          0.016
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.330
                                                                          0.644
                                                                          0.917
                                                                          0.961

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.052
                                                                          0.236
                                                                          0.728
                                                                          0.897

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.002
                                                                          0.047
                                                                          0.357
                                                                          0.536

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.005
                                                                          0.009
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.461
                                                                          0.779
                                                                          0.955
                                                                          0.974

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.089
                                                                          0.338
                                                                          0.840
                                                                          0.933

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.011
                                                                          0.082
                                                                          0.440
                                                                          0.541

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.002
                                                                          0.006
                                                                          0.006
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.576
                                                                          0.866
                                                                          0.954
                                                                          0.981

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.128
                                                                          0.468
                                                                          0.892
                                                                          0.936

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.016
                                                                          0.120
                                                                          0.495
                                                                          0.548

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.004
                                                                          0.004
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.689
                                                                          0.898
                                                                          0.963
                                                                          0.984

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.195
                                                                          0.593
                                                                          0.917
                                                                          0.949

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.027
                                                                          0.174
                                                                          0.523
                                                                          0.551

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                          0.001
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.804
                                                                          0.922
                                                                          0.968
                                                                          0.994

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.293
                                                                          0.694
                                                                          0.924
                                                                          0.957

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.047
                                                                          0.258
                                                                          0.548
                                                                          0.569

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.002
                                                                          0.004
                                                                          0.005
                                                                             20
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.951
                                                                          0.979
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.901
                                                                          0.950
                                                                          0.992
                                                                          0.996

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.451
                                                                          0.559
                                                                          0.596
                                                                          0.601

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                          0.000

Comment:
 If the true efficacy is 92.5, the recommended sample size is 7.

Simulations of Study Design 4: Narthropods/animal/day = 50+-5 and blood-fed proportion of arthropod on each animal >= 60%
 The study design:
 The results of this study design apply to studies that test 3 mosquito species/case/day (data are separately analyzed by species) or a single species of stable flies, horse flies, or deer flies/case/day.
 Number of each arthropod species per animal per day = 50+-5
 4 different days
 Inclusion criterion: blood-fed proportion of arthropod on each animal >= 60%
 Input parameters for the simulations:
 From the simulation in SAS program "percent animals or datasets have at least a certain percent arthropod non-blood-fed.sas" using the criterion that the observed proportion of blood-fed on each animal >= 60%, the true percent blood-fed arthropods CP in control animal used in the simulation are reasonably assumed to be 0.80.
 N arthropods/animal/day = 50+-5
 True efficacy of treatment is set = 0.95, 0.925, 0.90, and 0.85 for the 1[st], 2[nd], 3[rd], and 4[th] days.
 Required observed treatment efficacy is ReqTE = 0.90
 Required precision of efficacy is evaluated as ReqPrecision = 0.025, 0.03, and 0.04.
 The simulations are set to have 2000 datasets per each sample size = 6, 7, ..., 10.

      Table A1.4-1
 N per Day = 50+-5, CP = 0.80, no animal random effect, no day random effects
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              6
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.305
                                                                          0.558
                                                                          0.864
                                                                          0.950

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.102
                                                                          0.283
                                                                          0.667
                                                                          0.841

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.030
                                                                          0.099
                                                                          0.336
                                                                          0.460

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.008
                                                                          0.013
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.417
                                                                          0.698
                                                                          0.927
                                                                          0.984

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.152
                                                                          0.400
                                                                          0.788
                                                                          0.890

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.042
                                                                          0.138
                                                                          0.384
                                                                          0.470

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.002
                                                                          0.008
                                                                          0.011
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.561
                                                                          0.836
                                                                          0.975
                                                                          0.998

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.252
                                                                          0.577
                                                                          0.892
                                                                          0.944

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.079
                                                                          0.229
                                                                          0.468
                                                                          0.511

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.001
                                                                          0.003
                                                                          0.004
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.705
                                                                          0.906
                                                                          0.992
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.348
                                                                          0.697
                                                                          0.929
                                                                          0.952

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.103
                                                                          0.295
                                                                          0.469
                                                                          0.491

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.003
                                                                          0.003
                                                                          0.003
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.806
                                                                          0.943
                                                                          0.996
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.485
                                                                          0.813
                                                                          0.947
                                                                          0.962

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.161
                                                                          0.365
                                                                          0.494
                                                                          0.508

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.002
                                                                          0.004
                                                                          0.004

      Table A1.4-2
Animal random effects and day random effects assumed to be normal distributions
            N per Day = 50+-5, CP = 0.80, SD_sub = 0, SD_day=0.166
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              6
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.197
                                                                          0.433
                                                                          0.822
                                                                          0.951

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.062
                                                                          0.208
                                                                          0.604
                                                                          0.800

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.015
                                                                          0.065
                                                                          0.277
                                                                          0.408

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.001
                                                                          0.009
                                                                          0.012
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.308
                                                                          0.615
                                                                          0.914
                                                                          0.983

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.094
                                                                          0.299
                                                                          0.723
                                                                          0.875

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.038
                                                                          0.114
                                                                          0.376
                                                                          0.479

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.008
                                                                          0.012
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.435
                                                                          0.747
                                                                          0.962
                                                                          0.992

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.152
                                                                          0.421
                                                                          0.835
                                                                          0.916

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.039
                                                                          0.154
                                                                          0.432
                                                                          0.484

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.009
                                                                          0.011
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.588
                                                                          0.857
                                                                          0.988
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.235
                                                                          0.578
                                                                          0.885
                                                                          0.933

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.067
                                                                          0.228
                                                                          0.448
                                                                          0.484

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.002
                                                                          0.002
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.711
                                                                          0.930
                                                                          0.997
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.328
                                                                          0.724
                                                                          0.929
                                                                          0.944

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.088
                                                                          0.289
                                                                          0.466
                                                                          0.482

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.002
                                                                          0.002

      Table A1.4-3
Animal random effects and day random effects assumed to be Weibull distributions
              N per Day =50+-5, CP = 0.80, SubVar = 0, DayVar=0.5
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              6
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.121
                                                                          0.368
                                                                          0.833
                                                                          0.956

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.026
                                                                          0.143
                                                                          0.576
                                                                          0.842

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.035
                                                                          0.277
                                                                          0.473

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.009
                                                                          0.015
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.221
                                                                          0.566
                                                                          0.926
                                                                          0.986

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.058
                                                                          0.226
                                                                          0.779
                                                                          0.920

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.010
                                                                          0.064
                                                                          0.382
                                                                          0.509

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.009
                                                                          0.014
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.363
                                                                          0.738
                                                                          0.975
                                                                          0.998

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.086
                                                                          0.364
                                                                          0.864
                                                                          0.941

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.025
                                                                          0.118
                                                                          0.466
                                                                          0.532

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.005
                                                                          0.005
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.513
                                                                          0.872
                                                                          0.991
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.161
                                                                          0.546
                                                                          0.945
                                                                          0.967

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.029
                                                                          0.193
                                                                          0.515
                                                                          0.540

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.003
                                                                          0.003
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.704
                                                                          0.944
                                                                          0.999
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.252
                                                                          0.704
                                                                          0.947
                                                                          0.962

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.061
                                                                          0.283
                                                                          0.545
                                                                          0.556

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.003
                                                                          0.003

      Table A1.4-4
Animal random effects and day random effects assumed to be normal distributions
             N per Day = 50+-5, CP = 0.80, SD_sub = 0.33, SD_day=0
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              6
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.111
                                                                          0.297
                                                                          0.753
                                                                          0.939

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.023
                                                                          0.089
                                                                          0.425
                                                                          0.716

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.002
                                                                          0.021
                                                                          0.158
                                                                          0.342

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.008
                                                                          0.023
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.181
                                                                          0.460
                                                                          0.871
                                                                          0.979

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.040
                                                                          0.162
                                                                          0.590
                                                                          0.818

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.035
                                                                          0.259
                                                                          0.433

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.009
                                                                          0.015
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.283
                                                                          0.615
                                                                          0.952
                                                                          0.996

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.063
                                                                          0.261
                                                                          0.731
                                                                          0.865

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.009
                                                                          0.066
                                                                          0.313
                                                                          0.425

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.002
                                                                          0.008
                                                                          0.009
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.420
                                                                          0.770
                                                                          0.985
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.100
                                                                          0.363
                                                                          0.831
                                                                          0.894

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.020
                                                                          0.109
                                                                          0.372
                                                                          0.427

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.006
                                                                          0.008
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.548
                                                                          0.862
                                                                          0.993
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.163
                                                                          0.495
                                                                          0.894
                                                                          0.917

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.021
                                                                          0.143
                                                                          0.400
                                                                          0.428

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.003
                                                                          0.005
                                                                          0.005

      Table A1.4-5
Animal random effects and day random effects assumed to be Weibull distributions
               N per Day =50+-5, CP = 0.80, SubVar = 1, DayVar=0
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              6
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.208
                                                                          0.481
                                                                          0.889
                                                                          0.983

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.033
                                                                          0.151
                                                                          0.597
                                                                          0.859

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.008
                                                                          0.044
                                                                          0.268
                                                                          0.482

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.010
                                                                          0.020
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.283
                                                                          0.634
                                                                          0.964
                                                                          0.998

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.051
                                                                          0.224
                                                                          0.774
                                                                          0.916

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.008
                                                                          0.054
                                                                          0.358
                                                                          0.510

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.008
                                                                          0.013
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.457
                                                                          0.787
                                                                          0.992
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.101
                                                                          0.398
                                                                          0.894
                                                                          0.940

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.020
                                                                          0.109
                                                                          0.465
                                                                          0.525

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.009
                                                                          0.010
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.611
                                                                          0.913
                                                                          0.995
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.176
                                                                          0.536
                                                                          0.928
                                                                          0.946

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.025
                                                                          0.177
                                                                          0.486
                                                                          0.507

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.003
                                                                          0.008
                                                                          0.008
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.755
                                                                          0.957
                                                                          0.999
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.298
                                                                          0.714
                                                                          0.952
                                                                          0.959

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.054
                                                                          0.264
                                                                          0.514
                                                                          0.524

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.002
                                                                          0.003
                                                                          0.006
                                                                          0.006

      Table A1.4-6
Animal random effects and day random effects assumed to be normal distributions
           N per Day = 50+-5, CP = 0.80, SD_sub = 0.33, SD_day=0.166
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              6
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.069
                                                                          0.217
                                                                          0.675
                                                                          0.908

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.015
                                                                          0.055
                                                                          0.338
                                                                          0.658

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.017
                                                                          0.130
                                                                          0.326

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.001
                                                                          0.005
                                                                          0.018
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.124
                                                                          0.356
                                                                          0.821
                                                                          0.966

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.023
                                                                          0.107
                                                                          0.502
                                                                          0.780

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.006
                                                                          0.024
                                                                          0.194
                                                                          0.360

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.007
                                                                          0.016
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.211
                                                                          0.520
                                                                          0.932
                                                                          0.989

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.032
                                                                          0.166
                                                                          0.652
                                                                          0.839

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.004
                                                                          0.041
                                                                          0.285
                                                                          0.404

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.009
                                                                          0.015
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.314
                                                                          0.645
                                                                          0.967
                                                                          0.995

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.060
                                                                          0.274
                                                                          0.762
                                                                          0.876

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.008
                                                                          0.067
                                                                          0.314
                                                                          0.392

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.008
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.416
                                                                          0.788
                                                                          0.989
                                                                          0.998

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.095
                                                                          0.368
                                                                          0.836
                                                                          0.885

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.015
                                                                          0.108
                                                                          0.369
                                                                          0.410

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.002
                                                                          0.005
                                                                          0.005

      Table A1.4-7
Animal random effects and day random effects assumed to be Weibull distributions
             N per Day = 50+-5, CP = 0.80, SubVar = 1, DayVar=0.5
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              6
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.100
                                                                          0.315
                                                                          0.797
                                                                          0.966

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.018
                                                                          0.093
                                                                          0.478
                                                                          0.801

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.003
                                                                          0.016
                                                                          0.194
                                                                          0.446

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.009
                                                                          0.021
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.177
                                                                          0.475
                                                                          0.911
                                                                          0.986

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.036
                                                                          0.155
                                                                          0.669
                                                                          0.909

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.007
                                                                          0.043
                                                                          0.302
                                                                          0.510

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.009
                                                                          0.018
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.297
                                                                          0.660
                                                                          0.968
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.053
                                                                          0.253
                                                                          0.795
                                                                          0.926

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.007
                                                                          0.063
                                                                          0.422
                                                                          0.550

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.009
                                                                          0.013
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.433
                                                                          0.802
                                                                          0.986
                                                                          0.996

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.108
                                                                          0.394
                                                                          0.910
                                                                          0.967

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.018
                                                                          0.126
                                                                          0.481
                                                                          0.541

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.002
                                                                          0.008