0.95
                                                                            0.9
                                                                          0.036
                                                                          0.179
                                                                          0.712
                                                                          0.952

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.003
                                                                          0.030
                                                                          0.319
                                                                          0.723

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.100
                                                                          0.324

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.004
                                                                          0.013
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.067
                                                                          0.291
                                                                          0.833
                                                                          0.977

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.008
                                                                          0.052
                                                                          0.451
                                                                          0.784

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.009
                                                                          0.159
                                                                          0.371

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.002
                                                                          0.014
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.108
                                                                          0.402
                                                                          0.910
                                                                          0.993

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.010
                                                                          0.088
                                                                          0.589
                                                                          0.834

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.015
                                                                          0.212
                                                                          0.382

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.004
                                                                          0.010
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.165
                                                                          0.496
                                                                          0.954
                                                                          0.990

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.014
                                                                          0.119
                                                                          0.711
                                                                          0.868

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.018
                                                                          0.258
                                                                          0.379

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.004
                                                                          0.008

      Table A1.2-7
Animal random effects and day random effects assumed to be Weibull distributions
             N per Day = 50+-5, 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
                                                                          0.015
                                                                          0.054
                                                                          0.303
                                                                          0.656

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.002
                                                                          0.010
                                                                          0.097
                                                                          0.340

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.024
                                                                          0.144

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.014
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.025
                                                                          0.090
                                                                          0.435
                                                                          0.772

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.003
                                                                          0.016
                                                                          0.159
                                                                          0.475

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.044
                                                                          0.203

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.003
                                                                          0.018
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.038
                                                                          0.156
                                                                          0.597
                                                                          0.893

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.004
                                                                          0.025
                                                                          0.248
                                                                          0.619

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.076
                                                                          0.310

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.017
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.065
                                                                          0.243
                                                                          0.743
                                                                          0.951

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.004
                                                                          0.045
                                                                          0.371
                                                                          0.766

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.005
                                                                          0.122
                                                                          0.411

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.021
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.091
                                                                          0.333
                                                                          0.841
                                                                          0.979

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.008
                                                                          0.059
                                                                          0.496
                                                                          0.860

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.002
                                                                          0.007
                                                                          0.167
                                                                          0.484

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.004
                                                                          0.019
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.133
                                                                          0.433
                                                                          0.909
                                                                          0.989

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.015
                                                                          0.092
                                                                          0.620
                                                                          0.905

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.017
                                                                          0.259
                                                                          0.540

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.004
                                                                          0.012
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.214
                                                                          0.579
                                                                          0.958
                                                                          0.994

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.020
                                                                          0.156
                                                                          0.732
                                                                          0.930

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.023
                                                                          0.323
                                                                          0.560

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.009
                                                                          0.016
                                                                             20
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.815
                                                                          0.941
                                                                          0.998
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.282
                                                                          0.767
                                                                          0.961
                                                                          0.983

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.033
                                                                          0.321
                                                                          0.567
                                                                          0.590

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                          0.001

Comment:
 If the true efficacy is 92.5%, the recommended sample size is 11

Simulations of Study Design 3: Narthropods/animal/day = 100+-10 and blood-fed proportion of arthropod on each animal >= 40%
 The study design:
 The results of this study design apply to studies that test a single species of mosquitoes, fleas, sand flies, black flies, or biting midges per case per day.
 Number of arthropods/species/animal/day = 100+-10
 4 different days
 Inclusion criterion: blood-fed proportion of arthropod on each animal >= 40%

 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 blood-fed proportion of arthropod on each animal >= 40%, a true blood-fed proportion CP of arthropods in control animal can be reasonably as low as 0.60.
 N arthropods/animal/day = 100+-10
 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, ..., 12.
      Table A1.3-1
N per Day = 100+-10, CP = 0.60, 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
                                                                          0.499
                                                                          0.797
                                                                          0.974
                                                                          0.994

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.183
                                                                          0.486
                                                                          0.868
                                                                          0.931

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.054
                                                                          0.179
                                                                          0.432
                                                                          0.492

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.004
                                                                          0.004
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.667
                                                                          0.903
                                                                          0.988
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.293
                                                                          0.675
                                                                          0.931
                                                                          0.953

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.083
                                                                          0.268
                                                                          0.468
                                                                          0.493

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.005
                                                                          0.005
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.844
                                                                          0.968
                                                                          0.998
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.499
                                                                          0.844
                                                                          0.970
                                                                          0.977

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.140
                                                                          0.380
                                                                          0.501
                                                                          0.510

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                          0.001
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.932
                                                                          0.989
                                                                          0.999
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.666
                                                                          0.924
                                                                          0.980
                                                                          0.982

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.214
                                                                          0.432
                                                                          0.485
                                                                          0.489

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.002
                                                                          0.002
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.966
                                                                          0.994
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.808
                                                                          0.957
                                                                          0.983
                                                                          0.984

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.314
                                                                          0.480
                                                                          0.505
                                                                          0.505

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.001
                                                                          0.001
                                                                          0.001
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.990
                                                                          0.999
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.901
                                                                          0.972
                                                                          0.984
                                                                          0.984

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.417
                                                                          0.509
                                                                          0.521
                                                                          0.522

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.994
                                                                          1.000
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.955
                                                                          0.989
                                                                          0.992
                                                                          0.992

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.465
                                                                          0.517
                                                                          0.524
                                                                          0.525

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                          0.000

      Table A1.3-2
Animal random effects and day random effects assumed to be normal distributions
           N per Day = 100+-10, CP = 0.60, 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
                                                                          0.232
                                                                          0.542
                                                                          0.929
                                                                          0.990

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.072
                                                                          0.244
                                                                          0.743
                                                                          0.900

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.015
                                                                          0.073
                                                                          0.337
                                                                          0.441

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.004
                                                                          0.005
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.388
                                                                          0.746
                                                                          0.975
                                                                          0.998

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.116
                                                                          0.384
                                                                          0.865
                                                                          0.936

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.027
                                                                          0.118
                                                                          0.431
                                                                          0.499

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.001
                                                                          0.004
                                                                          0.004
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.576
                                                                          0.880
                                                                          0.993
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.176
                                                                          0.565
                                                                          0.922
                                                                          0.948

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.043
                                                                          0.195
                                                                          0.461
                                                                          0.484

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.005
                                                                          0.005
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.744
                                                                          0.950
                                                                          0.999
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.313
                                                                          0.738
                                                                          0.956
                                                                          0.963

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.064
                                                                          0.291
                                                                          0.472
                                                                          0.481

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.873
                                                                          0.984
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.444
                                                                          0.866
                                                                          0.966
                                                                          0.967

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.095
                                                                          0.375
                                                                          0.477
                                                                          0.479

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                          0.001
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.946
                                                                          0.995
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.610
                                                                          0.933
                                                                          0.970
                                                                          0.971

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.164
                                                                          0.411
                                                                          0.453
                                                                          0.453

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.978
                                                                          0.998
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.760
                                                                          0.964
                                                                          0.984
                                                                          0.984

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.258
                                                                          0.453
                                                                          0.467
                                                                          0.468

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                          0.000

      Table A1.3-3
Animal random effects and day random effects assumed to be Weibull distributions
             N per Day =100+-10, CP = 0.60, 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
                                                                          0.222
                                                                          0.516
                                                                          0.890
                                                                          0.972

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.052
                                                                          0.195
                                                                          0.695
                                                                          0.887

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.010
                                                                          0.053
                                                                          0.323
                                                                          0.498

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.001
                                                                          0.005
                                                                          0.007
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.358
                                                                          0.677
                                                                          0.951
                                                                          0.990

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.097
                                                                          0.343
                                                                          0.835
                                                                          0.947

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.019
                                                                          0.097
                                                                          0.427
                                                                          0.531

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.007
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.502
                                                                          0.833
                                                                          0.987
                                                                          0.998

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.159
                                                                          0.482
                                                                          0.917
                                                                          0.969

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.030
                                                                          0.156
                                                                          0.499
                                                                          0.542

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.003
                                                                          0.003
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.664
                                                                          0.910
                                                                          0.992
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.250
                                                                          0.648
                                                                          0.956
                                                                          0.983

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.049
                                                                          0.256
                                                                          0.541
                                                                          0.563

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.794
                                                                          0.957
                                                                          0.999
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.375
                                                                          0.787
                                                                          0.972
                                                                          0.983

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.092
                                                                          0.347
                                                                          0.570
                                                                          0.577

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.861
                                                                          0.973
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.486
                                                                          0.862
                                                                          0.984
                                                                          0.988

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.135
                                                                          0.431
                                                                          0.568
                                                                          0.572

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.929
                                                                          0.991
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.643
                                                                          0.921
                                                                          0.988
                                                                          0.989

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.205
                                                                          0.483
                                                                          0.567
                                                                          0.571

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                          0.001

      Table A1.3-4
Animal random effects and day random effects assumed to be normal distributions
            N per Day = 100+-10, CP = 0.60, 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
                                                                          0.196
                                                                          0.460
                                                                          0.871
                                                                          0.975

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.030
                                                                          0.136
                                                                          0.528
                                                                          0.783

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.028
                                                                          0.194
                                                                          0.367

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.008
                                                                          0.018
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.303
                                                                          0.651
                                                                          0.958
                                                                          0.995

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.064
                                                                          0.238
                                                                          0.707
                                                                          0.886

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.009
                                                                          0.054
                                                                          0.304
                                                                          0.441

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.007
                                                                          0.012
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.466
                                                                          0.781
                                                                          0.990
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.107
                                                                          0.361
                                                                          0.804
                                                                          0.897

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.014
                                                                          0.089
                                                                          0.350
                                                                          0.432

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.002
                                                                          0.006
                                                                          0.007
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.623
                                                                          0.900
                                                                          0.997
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.157
                                                                          0.480
                                                                          0.887
                                                                          0.926

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.027
                                                                          0.144
                                                                          0.385
                                                                          0.426

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.005
                                                                          0.006
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.754
                                                                          0.953
                                                                          0.997
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.260
                                                                          0.634
                                                                          0.925
                                                                          0.937

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.034
                                                                          0.210
                                                                          0.418
                                                                          0.438

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.003
                                                                          0.003
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.866
                                                                          0.980
                                                                          0.999
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.339
                                                                          0.752
                                                                          0.934
                                                                          0.942

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.074
                                                                          0.249
                                                                          0.404
                                                                          0.409

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                          0.001
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.928
                                                                          0.991
                                                                          1.000
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.482
                                                                          0.831
                                                                          0.948
                                                                          0.951

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.090
                                                                          0.301
                                                                          0.412
                                                                          0.416

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                          0.001

      Table A1.3-5
Animal random effects and day random effects assumed to be Weibull distributions
             N per Day = 100+-10, CP = 0.60, 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
                                                                          0.271
                                                                          0.578
                                                                          0.927
                                                                          0.994

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.041
                                                                          0.180
                                                                          0.629
                                                                          0.881

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.011
                                                                          0.048
                                                                          0.269
                                                                          0.481

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.008
                                                                          0.015
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.392
                                                                          0.718
                                                                          0.973
                                                                          0.991

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.075
                                                                          0.278
                                                                          0.786
                                                                          0.924

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.013
                                                                          0.067
                                                                          0.358
                                                                          0.511

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.008
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.545
                                                                          0.860
                                                                          0.991
                                                                          0.996

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.142
                                                                          0.431
                                                                          0.895
                                                                          0.947

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.022
                                                                          0.124
                                                                          0.466
                                                                          0.545

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.005
                                                                          0.006
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.728
                                                                          0.946
                                                                          0.989
                                                                          0.996

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.209
                                                                          0.578
                                                                          0.946
                                                                          0.963

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.032
                                                                          0.184
                                                                          0.507
                                                                          0.525

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.005
                                                                          0.005
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.833
                                                                          0.967
                                                                          0.995
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.342
                                                                          0.732
                                                                          0.964
                                                                          0.970

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.057
                                                                          0.261
                                                                          0.534
                                                                          0.540

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.002
                                                                          0.003
                                                                          0.005
                                                                          0.005
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.911
                                                                          0.984
                                                                          0.994
                                                                          0.998

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.459
                                                                          0.847
                                                                          0.968
                                                                          0.972

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.092
                                                                          0.371
                                                                          0.548
                                                                          0.550

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.001
                                                                          0.001
                                                                          0.001
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.953
                                                                          0.990
                                                                          0.997
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.586
                                                                          0.918
                                                                          0.980
                                                                          0.984

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.127
                                                                          0.437
                                                                          0.550
                                                                          0.552

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.001
                                                                          0.001

      Table A1.3-6
Animal random effects and day random effects assumed to be normal distributions
          N per Day = 100+-10, CP = 0.60, 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
                                                                          0.094
                                                                          0.270
                                                                          0.753
                                                                          0.940

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.012
                                                                          0.062
                                                                          0.361
                                                                          0.706

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.003
                                                                          0.017
                                                                          0.142
                                                                          0.327

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.003
                                                                          0.014
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9