1
                                                                           0.95
                                                                            0.9
                                                                          0.008
                                                                          0.029
                                                                          0.275
                                                                          0.686

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.001
                                                                          0.005
                                                                          0.077
                                                                          0.335

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.012
                                                                          0.125

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.001
                                                                          0.007
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.008
                                                                          0.050
                                                                          0.414
                                                                          0.809

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.000
                                                                          0.006
                                                                          0.112
                                                                          0.450

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.026
                                                                          0.186

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.001
                                                                          0.007
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.012
                                                                          0.083
                                                                          0.525
                                                                          0.879

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.000
                                                                          0.011
                                                                          0.171
                                                                          0.575

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.043
                                                                          0.230

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.001
                                                                          0.013
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.023
                                                                          0.124
                                                                          0.637
                                                                          0.938

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.001
                                                                          0.014
                                                                          0.246
                                                                          0.678

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.055
                                                                          0.289

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.001
                                                                          0.011
                                                                             13
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.037
                                                                          0.195
                                                                          0.762
                                                                          0.965

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.003
                                                                          0.026
                                                                          0.348
                                                                          0.751

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.003
                                                                          0.095
                                                                          0.333

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.014
                                                                             14
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.048
                                                                          0.246
                                                                          0.826
                                                                          0.977

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.005
                                                                          0.032
                                                                          0.437
                                                                          0.811

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.133
                                                                          0.371

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.002
                                                                          0.008
                                                                             15
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.078
                                                                          0.339
                                                                          0.895
                                                                          0.986

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.004
                                                                          0.053
                                                                          0.519
                                                                          0.845

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.005
                                                                          0.169
                                                                          0.382

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.012

      Table A1.1-7
Animal random effects and day random effects assumed to be Weibull distributions
             N per Day = 50+-5, CP = 0.45, SubVar = 1, DayVar=0.5
                                       N
                                      Day
                                    true_TE
                                     ReqTE
                             Precision <= 0.025
                             Precision <= 0.030
                             Precision <= 0.040
                             Precision <= 0.050
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.010
                                                                          0.037
                                                                          0.254
                                                                          0.604

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.001
                                                                          0.005
                                                                          0.066
                                                                          0.292

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.012
                                                                          0.113

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.010
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.008
                                                                          0.049
                                                                          0.361
                                                                          0.727

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.000
                                                                          0.004
                                                                          0.100
                                                                          0.397

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.021
                                                                          0.156

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.011
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.015
                                                                          0.096
                                                                          0.503
                                                                          0.851

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.000
                                                                          0.012
                                                                          0.178
                                                                          0.553

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.030
                                                                          0.232

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.000
                                                                          0.017
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.023
                                                                          0.140
                                                                          0.622
                                                                          0.926

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.003
                                                                          0.020
                                                                          0.247
                                                                          0.657

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.063
                                                                          0.312

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.021
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.047
                                                                          0.216
                                                                          0.725
                                                                          0.954

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.003
                                                                          0.024
                                                                          0.319
                                                                          0.767

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.092
                                                                          0.415

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.018
                                                                             13
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.065
                                                                          0.277
                                                                          0.822
                                                                          0.972

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.006
                                                                          0.043
                                                                          0.441
                                                                          0.828

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.005
                                                                          0.142
                                                                          0.481

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.005
                                                                          0.019
                                                                             14
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.088
                                                                          0.352
                                                                          0.878
                                                                          0.981

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.006
                                                                          0.053
                                                                          0.534
                                                                          0.877

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.004
                                                                          0.194
                                                                          0.509

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.003
                                                                          0.013
                                                                             15
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.120
                                                                          0.430
                                                                          0.905
                                                                          0.979

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.006
                                                                          0.081
                                                                          0.621
                                                                          0.899

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.011
                                                                          0.243
                                                                          0.534

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.006
                                                                          0.019
                                                                             20
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.359
                                                                          0.756
                                                                          0.958
                                                                          0.996

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.043
                                                                          0.276
                                                                          0.858
                                                                          0.945

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.050
                                                                          0.471
                                                                          0.555

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.005
                                                                          0.007

Comment:
 If the true efficacy is 92.5%, the recommended sample size is 14.

     Simulations of Study Design 2: Narthropods/animal/day = 50+-5 and blood-fed proportion of arthropod on each animal >= 40%

 The study design:
 The results of this study design apply to studies that test 3 mosquito species/case/day and 50+-5 mosquitoes/species/case/day (data are separately analyzed by species) or studies that test a single species of stable flies, horse flies, or deer flies on an animal per day, with the number of arthropods/species/animal/day = 50+-5
 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 arthropod in control animals can be reasonably as low as 0.60.
 N arthropods/animal/day = 50+-5
 True efficacy of treatment is set = 0.95, 0.925, 0.90, and 0.85 for the 1[st], 2[nd], 3[rd], and 4[th] days.
 Required observed treatment efficacy is ReqTE = 0.90
 Required precision of efficacy is evaluated as ReqPrecision = 0.025, 0.03, and 0.04.
 The simulations are set to have 2000 datasets per each sample size = 6, 7, ... , 12.

      Table A1.2-1
 N per Day = 50+-5, 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
                                                                          0.061
                                                                          0.179
                                                                          0.551
                                                                          0.843

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.012
                                                                          0.042
                                                                          0.274
                                                                          0.620

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.015
                                                                          0.108
                                                                          0.303

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.006
                                                                          0.020
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.076
                                                                          0.238
                                                                          0.715
                                                                          0.930

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.021
                                                                          0.073
                                                                          0.409
                                                                          0.757

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.007
                                                                          0.019
                                                                          0.159
                                                                          0.386

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.005
                                                                          0.016
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.117
                                                                          0.382
                                                                          0.866
                                                                          0.972

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.022
                                                                          0.114
                                                                          0.612
                                                                          0.873

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.004
                                                                          0.030
                                                                          0.269
                                                                          0.470

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.008
                                                                          0.015
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.191
                                                                          0.541
                                                                          0.944
                                                                          0.992

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.033
                                                                          0.184
                                                                          0.750
                                                                          0.896

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.037
                                                                          0.340
                                                                          0.470

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.008
                                                                          0.010
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.282
                                                                          0.667
                                                                          0.975
                                                                          0.997

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.059
                                                                          0.291
                                                                          0.834
                                                                          0.923

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.013
                                                                          0.073
                                                                          0.421
                                                                          0.501

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.009
                                                                          0.011
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.402
                                                                          0.787
                                                                          0.992
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.075
                                                                          0.410
                                                                          0.907
                                                                          0.945

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.016
                                                                          0.117
                                                                          0.476
                                                                          0.515

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.001
                                                                          0.001
                                                                          0.004
                                                                          0.005
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.535
                                                                          0.890
                                                                          0.992
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.148
                                                                          0.553
                                                                          0.937
                                                                          0.953

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.026
                                                                          0.178
                                                                          0.504
                                                                          0.527

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.006
                                                                          0.006

      Table A1.2-2
Animal random effects and day random effects assumed to be normal distributions
             N per Day =50+-5, 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
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.061
                                                                          0.234
                                                                          0.764
                                                                          0.966

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.006
                                                                          0.046
                                                                          0.431
                                                                          0.788

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.003
                                                                          0.014
                                                                          0.161
                                                                          0.408

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.012
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.094
                                                                          0.365
                                                                          0.882
                                                                          0.989

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.012
                                                                          0.094
                                                                          0.614
                                                                          0.867

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.003
                                                                          0.019
                                                                          0.247
                                                                          0.445

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.007
                                                                          0.012
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.172
                                                                          0.508
                                                                          0.939
                                                                          0.992

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.022
                                                                          0.156
                                                                          0.730
                                                                          0.902

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.004
                                                                          0.038
                                                                          0.349
                                                                          0.482

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.004
                                                                          0.006
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.241
                                                                          0.630
                                                                          0.983
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.034
                                                                          0.242
                                                                          0.826
                                                                          0.915

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.003
                                                                          0.048
                                                                          0.398
                                                                          0.484

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.006
                                                                          0.006
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.339
                                                                          0.758
                                                                          0.992
                                                                          0.999

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.062
                                                                          0.345
                                                                          0.901
                                                                          0.936

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.007
                                                                          0.078
                                                                          0.434
                                                                          0.469

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.008
                                                                          0.008

      Table A1.2-3
Animal random effects and day random effects assumed to be Weibull distributions
              N per Day =50+-5, 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
                                                                          0.015
                                                                          0.059
                                                                          0.335
                                                                          0.699

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.004
                                                                          0.012
                                                                          0.122
                                                                          0.428

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.042
                                                                          0.193

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.014
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.029
                                                                          0.116
                                                                          0.520
                                                                          0.838

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.004
                                                                          0.021
                                                                          0.230
                                                                          0.629

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.006
                                                                          0.077
                                                                          0.311

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.017
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.047
                                                                          0.180
                                                                          0.701
                                                                          0.941

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.006
                                                                          0.042
                                                                          0.352
                                                                          0.763

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.009
                                                                          0.125
                                                                          0.409

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.005
                                                                          0.016
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.075
                                                                          0.282
                                                                          0.831
                                                                          0.983

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.006
                                                                          0.071
                                                                          0.514
                                                                          0.879

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.010
                                                                          0.211
                                                                          0.484

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.005
                                                                          0.016
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.109
                                                                          0.399
                                                                          0.925
                                                                          0.995

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.017
                                                                          0.110
                                                                          0.669
                                                                          0.908

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.003
                                                                          0.020
                                                                          0.282
                                                                          0.530

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.011
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.162
                                                                          0.526
                                                                          0.965
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.016
                                                                          0.161
                                                                          0.786
                                                                          0.935

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.002
                                                                          0.035
                                                                          0.388
                                                                          0.556

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.004
                                                                          0.008
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.253
                                                                          0.686
                                                                          0.992
                                                                          1.000

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.033
                                                                          0.246
                                                                          0.875
                                                                          0.954

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.004
                                                                          0.054
                                                                          0.459
                                                                          0.552

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.005
                                                                          0.007

      Table A1.2-4
Animal random effects and day random effects assumed to be normal distributions
             N per Day =50+-5, 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
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.049
                                                                          0.196
                                                                          0.698
                                                                          0.940

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.006
                                                                          0.036
                                                                          0.313
                                                                          0.700

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.006
                                                                          0.104
                                                                          0.322

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.005
                                                                          0.017
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.075
                                                                          0.290
                                                                          0.825
                                                                          0.981

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.009
                                                                          0.067
                                                                          0.474
                                                                          0.799

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.008
                                                                          0.158
                                                                          0.388

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.012
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.144
                                                                          0.438
                                                                          0.914
                                                                          0.992

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.014
                                                                          0.105
                                                                          0.614
                                                                          0.851

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.002
                                                                          0.017
                                                                          0.239
                                                                          0.407

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.003
                                                                          0.009
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.212
                                                                          0.564
                                                                          0.962
                                                                          0.997

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.019
                                                                          0.162
                                                                          0.715
                                                                          0.873

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.002
                                                                          0.024
                                                                          0.300
                                                                          0.415

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.006
                                                                          0.009
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.292
                                                                          0.703
                                                                          0.987
                                                                          0.998

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.034
                                                                          0.216
                                                                          0.813
                                                                          0.893

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.004
                                                                          0.049
                                                                          0.353
                                                                          0.426

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.007

      Table A1.2-5
Animal random effects and day random effects assumed to be Weibull distributions
               N per Day =50+-5, 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
                                                                          0.038
                                                                          0.121
                                                                          0.452
                                                                          0.757

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.004
                                                                          0.017
                                                                          0.163
                                                                          0.453

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.001
                                                                          0.005
                                                                          0.059
                                                                          0.202

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.004
                                                                          0.018
                                                                              7
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.048
                                                                          0.163
                                                                          0.580
                                                                          0.869

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.004
                                                                          0.027
                                                                          0.227
                                                                          0.600

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.005
                                                                          0.071
                                                                          0.285

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.003
                                                                          0.016
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.091
                                                                          0.282
                                                                          0.745
                                                                          0.951

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.009
                                                                          0.051
                                                                          0.387
                                                                          0.768

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.002
                                                                          0.010
                                                                          0.135
                                                                          0.407

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.006
                                                                          0.023
                                                                              9
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.135
                                                                          0.396
                                                                          0.862
                                                                          0.975

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.014
                                                                          0.089
                                                                          0.520
                                                                          0.851

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.002
                                                                          0.011
                                                                          0.193
                                                                          0.470

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.007
                                                                          0.019
                                                                             10
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.203
                                                                          0.525
                                                                          0.928
                                                                          0.988

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.026
                                                                          0.149
                                                                          0.667
                                                                          0.906

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.004
                                                                          0.025
                                                                          0.272
                                                                          0.502

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.002
                                                                          0.008
                                                                          0.018
                                                                             11
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.282
                                                                          0.649
                                                                          0.961
                                                                          0.989

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.034
                                                                          0.216
                                                                          0.768
                                                                          0.920

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.003
                                                                          0.032
                                                                          0.391
                                                                          0.536

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.001
                                                                          0.005
                                                                          0.008
                                                                             12
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.386
                                                                          0.750
                                                                          0.979
                                                                          0.996

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.062
                                                                          0.297
                                                                          0.848
                                                                          0.938

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.005
                                                                          0.051
                                                                          0.449
                                                                          0.553

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.007
                                                                          0.010

      Table A1.2-6
Animal random effects and day random effects assumed to be normal distributions
           N per Day = 50+-5, 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
                                                                              8
                                                                              1
                                                                           0.95
                                                                            0.9
                                                                          0.026
                                                                          0.120
                                                                          0.567
                                                                          0.897

                                                                              2
                                                                          0.925
                                                                            0.9
                                                                          0.003
                                                                          0.017
                                                                          0.210
                                                                          0.597

                                                                              3
                                                                            0.9
                                                                            0.9
                                                                          0.000
                                                                          0.003
                                                                          0.067
                                                                          0.279

                                                                              4
                                                                           0.85
                                                                            0.9
                                                                          0.000
                                                                          0.000
                                                                          0.002
                                                                          0.015
                                                                              9
                                                                              1