Example 2: Two arm | Interim | Continuous | t-test
example-2.RmdThis example extends Example 1 by
introducing two named analyses — interim and
final — that fire at different enrollment milestones.
Understanding how analysis names propagate through
collect_results() is the foundation for multi-analysis
designs shown in later examples.
Scenario
Capture scenario parameters. We will assume piece-wise linear enrollment.
sample_size <- 100
arms <- c("pbo", "trt")
allocation <- c(1, 1)
delta <- 0.2 # true treatment - placebo mean difference
enrollment_fn <- function(n) rexp(n, rate = 1)
dropout_fn <- function(n) rexp(n, rate = 0.01)
scenario <- tidyr::expand_grid(
sample_size = sample_size,
allocation = list(allocation),
delta = delta
)allocation = c(1, 1) specifies balanced randomisation.
tidyr::expand_grid() embeds design parameters directly into
each result row for traceability across parameter sweeps.
Populations
Define population generators.
population_generators <- list(
pbo = function(n) data.frame(
id = 1:n,
value = rnorm(n),
readout_time = 1
),
trt = function(n) data.frame(
id = 1:n,
value = rnorm(n, mean = delta),
readout_time = 1
)
)Each generator is a function of n returning a
data.frame with one row per subject.
readout_time = 1 means the endpoint is observed 1 time unit
after enrollment. The treatment arm has a mean shift of δ = 0.2 SD units
over placebo.
Triggers & Analysis
Final analysis at full enrollment.
analysis_generators <- list(
interim = list(
trigger = rlang::exprs(
sum(!is.na(enroll_time)) >= (!!sample_size) / 2
),
analysis = function(df, timer){
df_enrolled <- df |> subset(!is.na(enroll_time))
tt <- t.test(value ~ arm, data = df_enrolled)
data.frame(
scenario,
n_total = nrow(df_enrolled),
mean_pbo = mean(df_enrolled$value[df_enrolled$arm == "pbo"]),
mean_trt = mean(df_enrolled$value[df_enrolled$arm == "trt"]),
p_value = unname(tt$p.value),
stringsAsFactors = FALSE
)
}
),
final = list(
trigger = rlang::exprs(
sum(!is.na(enroll_time)) >= !!sample_size
),
analysis = function(df, timer){
df_enrolled <- df |> subset(!is.na(enroll_time))
tt <- t.test(value ~ arm, data = df_enrolled)
data.frame(
scenario,
n_total = nrow(df_enrolled),
mean_pbo = mean(df_enrolled$value[df_enrolled$arm == "pbo"]),
mean_trt = mean(df_enrolled$value[df_enrolled$arm == "trt"]),
p_value = unname(tt$p.value),
stringsAsFactors = FALSE
)
}
)
)Two analyses are defined. The interim analysis fires at
half enrollment and the final analysis fires when all
subjects are enrolled. These names appear in the analysis
column of collect_results() output, making it
straightforward to distinguish interim from final results when stacking
rows across timepoints.
Trial
Make multiple trial replicates.
trials <- replicate_trial(
trial_name = "test_trial",
sample_size = sample_size,
arms = arms,
allocation = allocation,
enrollment = enrollment_fn,
dropout = dropout_fn,
analysis_generators = analysis_generators,
population_generators = population_generators,
n = 3
)Simulate
To simulate all replicates:
run_trials(trials)
#> [[1]]
#> <Trial>
#> Public:
#> clone: function (deep = FALSE)
#> initialize: function (name, seed = NULL, timer = NULL, population = list(),
#> locked_data: list
#> name: test_trial_1
#> population: list
#> results: list
#> run: function ()
#> seed: NULL
#> timer: Timer, R6
#>
#> [[2]]
#> <Trial>
#> Public:
#> clone: function (deep = FALSE)
#> initialize: function (name, seed = NULL, timer = NULL, population = list(),
#> locked_data: list
#> name: test_trial_2
#> population: list
#> results: list
#> run: function ()
#> seed: NULL
#> timer: Timer, R6
#>
#> [[3]]
#> <Trial>
#> Public:
#> clone: function (deep = FALSE)
#> initialize: function (name, seed = NULL, timer = NULL, population = list(),
#> locked_data: list
#> name: test_trial_3
#> population: list
#> results: list
#> run: function ()
#> seed: NULL
#> timer: Timer, R6Bind one row per replicate into one data frame.
replicate_results <- collect_results(trials)
replicate_results
#> replicate timepoint analysis sample_size allocation delta n_total
#> 1 1 48.42750 interim 100 1, 1 0.2 50
#> 2 1 49.85442 interim 100 1, 1 0.2 51
#> 3 1 49.95773 interim 100 1, 1 0.2 52
#> 4 1 51.72320 interim 100 1, 1 0.2 53
#> 5 1 55.51429 interim 100 1, 1 0.2 54
#> 6 1 56.14240 interim 100 1, 1 0.2 55
#> 7 1 57.45119 interim 100 1, 1 0.2 56
#> 8 1 59.12747 interim 100 1, 1 0.2 57
#> 9 1 59.14277 interim 100 1, 1 0.2 58
#> 10 1 59.46349 interim 100 1, 1 0.2 59
#> 11 1 59.48707 interim 100 1, 1 0.2 60
#> 12 1 60.15817 interim 100 1, 1 0.2 61
#> 13 1 60.57574 interim 100 1, 1 0.2 62
#> 14 1 60.58369 interim 100 1, 1 0.2 63
#> 15 1 60.83251 interim 100 1, 1 0.2 64
#> 16 1 61.10046 interim 100 1, 1 0.2 65
#> 17 1 61.27583 interim 100 1, 1 0.2 66
#> 18 1 61.44810 interim 100 1, 1 0.2 67
#> 19 1 62.75277 interim 100 1, 1 0.2 68
#> 20 1 63.29203 interim 100 1, 1 0.2 69
#> 21 1 65.48555 interim 100 1, 1 0.2 70
#> 22 1 65.81196 interim 100 1, 1 0.2 71
#> 23 1 66.19484 interim 100 1, 1 0.2 72
#> 24 1 66.34897 interim 100 1, 1 0.2 73
#> 25 1 66.72386 interim 100 1, 1 0.2 74
#> 26 1 68.14108 interim 100 1, 1 0.2 75
#> 27 1 68.16704 interim 100 1, 1 0.2 76
#> 28 1 68.35415 interim 100 1, 1 0.2 77
#> 29 1 70.30805 interim 100 1, 1 0.2 78
#> 30 1 70.70770 interim 100 1, 1 0.2 79
#> 31 1 72.24447 interim 100 1, 1 0.2 80
#> 32 1 73.16830 interim 100 1, 1 0.2 81
#> 33 1 73.87027 interim 100 1, 1 0.2 82
#> 34 1 75.19949 interim 100 1, 1 0.2 83
#> 35 1 75.83765 interim 100 1, 1 0.2 84
#> 36 1 76.24062 interim 100 1, 1 0.2 85
#> 37 1 76.38961 interim 100 1, 1 0.2 86
#> 38 1 76.39273 interim 100 1, 1 0.2 87
#> 39 1 76.69642 interim 100 1, 1 0.2 88
#> 40 1 77.03205 interim 100 1, 1 0.2 89
#> 41 1 78.35709 interim 100 1, 1 0.2 90
#> 42 1 79.45524 interim 100 1, 1 0.2 91
#> 43 1 79.93142 interim 100 1, 1 0.2 92
#> 44 1 80.25999 interim 100 1, 1 0.2 93
#> 45 1 82.70303 interim 100 1, 1 0.2 94
#> 46 1 82.75639 interim 100 1, 1 0.2 95
#> 47 1 85.00719 interim 100 1, 1 0.2 96
#> 48 1 85.38033 interim 100 1, 1 0.2 97
#> 49 1 87.07561 interim 100 1, 1 0.2 98
#> 50 1 87.29870 interim 100 1, 1 0.2 99
#> 51 1 87.36847 interim 100 1, 1 0.2 100
#> 52 1 87.36847 final 100 1, 1 0.2 100
#> 53 1 347.10044 interim 100 1, 1 0.2 100
#> 54 1 347.10044 final 100 1, 1 0.2 100
#> 55 1 364.07755 interim 100 1, 1 0.2 100
#> 56 1 364.07755 final 100 1, 1 0.2 100
#> 57 1 448.68714 interim 100 1, 1 0.2 100
#> 58 1 448.68714 final 100 1, 1 0.2 100
#> 59 1 469.18697 interim 100 1, 1 0.2 100
#> 60 1 469.18697 final 100 1, 1 0.2 100
#> 61 1 487.15448 interim 100 1, 1 0.2 100
#> 62 1 487.15448 final 100 1, 1 0.2 100
#> 63 1 538.98616 interim 100 1, 1 0.2 100
#> 64 1 538.98616 final 100 1, 1 0.2 100
#> 65 1 606.20122 interim 100 1, 1 0.2 100
#> 66 1 606.20122 final 100 1, 1 0.2 100
#> 67 1 658.76511 interim 100 1, 1 0.2 100
#> 68 1 658.76511 final 100 1, 1 0.2 100
#> 69 1 794.98780 interim 100 1, 1 0.2 100
#> 70 1 794.98780 final 100 1, 1 0.2 100
#> 71 1 944.07711 interim 100 1, 1 0.2 100
#> 72 1 944.07711 final 100 1, 1 0.2 100
#> 73 1 1181.37320 interim 100 1, 1 0.2 100
#> 74 1 1181.37320 final 100 1, 1 0.2 100
#> 75 1 1212.56973 interim 100 1, 1 0.2 100
#> 76 1 1212.56973 final 100 1, 1 0.2 100
#> 77 1 1232.97050 interim 100 1, 1 0.2 100
#> 78 1 1232.97050 final 100 1, 1 0.2 100
#> 79 1 1264.36967 interim 100 1, 1 0.2 100
#> 80 1 1264.36967 final 100 1, 1 0.2 100
#> 81 1 1365.41125 interim 100 1, 1 0.2 100
#> 82 1 1365.41125 final 100 1, 1 0.2 100
#> 83 1 1414.98418 interim 100 1, 1 0.2 100
#> 84 1 1414.98418 final 100 1, 1 0.2 100
#> 85 1 1580.61613 interim 100 1, 1 0.2 100
#> 86 1 1580.61613 final 100 1, 1 0.2 100
#> 87 1 1905.27865 interim 100 1, 1 0.2 100
#> 88 1 1905.27865 final 100 1, 1 0.2 100
#> 89 1 1928.66156 interim 100 1, 1 0.2 100
#> 90 1 1928.66156 final 100 1, 1 0.2 100
#> 91 1 1948.35656 interim 100 1, 1 0.2 100
#> 92 1 1948.35656 final 100 1, 1 0.2 100
#> 93 1 2080.41273 interim 100 1, 1 0.2 100
#> 94 1 2080.41273 final 100 1, 1 0.2 100
#> 95 1 2116.29566 interim 100 1, 1 0.2 100
#> 96 1 2116.29566 final 100 1, 1 0.2 100
#> 97 1 2471.76965 interim 100 1, 1 0.2 100
#> 98 1 2471.76965 final 100 1, 1 0.2 100
#> 99 1 2506.45921 interim 100 1, 1 0.2 100
#> 100 1 2506.45921 final 100 1, 1 0.2 100
#> 101 1 2624.28188 interim 100 1, 1 0.2 100
#> 102 1 2624.28188 final 100 1, 1 0.2 100
#> 103 1 2670.38674 interim 100 1, 1 0.2 100
#> 104 1 2670.38674 final 100 1, 1 0.2 100
#> 105 1 2721.59496 interim 100 1, 1 0.2 100
#> 106 1 2721.59496 final 100 1, 1 0.2 100
#> 107 1 2730.16239 interim 100 1, 1 0.2 100
#> 108 1 2730.16239 final 100 1, 1 0.2 100
#> 109 1 2897.71439 interim 100 1, 1 0.2 100
#> 110 1 2897.71439 final 100 1, 1 0.2 100
#> 111 1 2943.10416 interim 100 1, 1 0.2 100
#> 112 1 2943.10416 final 100 1, 1 0.2 100
#> 113 1 2970.64127 interim 100 1, 1 0.2 100
#> 114 1 2970.64127 final 100 1, 1 0.2 100
#> 115 1 3098.51997 interim 100 1, 1 0.2 100
#> 116 1 3098.51997 final 100 1, 1 0.2 100
#> 117 1 3101.99965 interim 100 1, 1 0.2 100
#> 118 1 3101.99965 final 100 1, 1 0.2 100
#> 119 1 3117.23713 interim 100 1, 1 0.2 100
#> 120 1 3117.23713 final 100 1, 1 0.2 100
#> 121 1 3264.59026 interim 100 1, 1 0.2 100
#> 122 1 3264.59026 final 100 1, 1 0.2 100
#> 123 1 3324.84528 interim 100 1, 1 0.2 100
#> 124 1 3324.84528 final 100 1, 1 0.2 100
#> 125 1 3376.45601 interim 100 1, 1 0.2 100
#> 126 1 3376.45601 final 100 1, 1 0.2 100
#> 127 1 3382.96904 interim 100 1, 1 0.2 100
#> 128 1 3382.96904 final 100 1, 1 0.2 100
#> 129 1 3392.33000 interim 100 1, 1 0.2 100
#> 130 1 3392.33000 final 100 1, 1 0.2 100
#> 131 1 3653.75656 interim 100 1, 1 0.2 100
#> 132 1 3653.75656 final 100 1, 1 0.2 100
#> 133 1 3778.41117 interim 100 1, 1 0.2 100
#> 134 1 3778.41117 final 100 1, 1 0.2 100
#> 135 1 3954.92212 interim 100 1, 1 0.2 100
#> 136 1 3954.92212 final 100 1, 1 0.2 100
#> 137 1 3993.06729 interim 100 1, 1 0.2 100
#> 138 1 3993.06729 final 100 1, 1 0.2 100
#> 139 1 4028.10899 interim 100 1, 1 0.2 100
#> 140 1 4028.10899 final 100 1, 1 0.2 100
#> 141 1 4041.70989 interim 100 1, 1 0.2 100
#> 142 1 4041.70989 final 100 1, 1 0.2 100
#> 143 1 4165.86312 interim 100 1, 1 0.2 100
#> 144 1 4165.86312 final 100 1, 1 0.2 100
#> 145 1 4195.93190 interim 100 1, 1 0.2 100
#> 146 1 4195.93190 final 100 1, 1 0.2 100
#> 147 1 4258.85114 interim 100 1, 1 0.2 100
#> 148 1 4258.85114 final 100 1, 1 0.2 100
#> 149 1 4480.33893 interim 100 1, 1 0.2 100
#> 150 1 4480.33893 final 100 1, 1 0.2 100
#> 151 1 4485.70500 interim 100 1, 1 0.2 100
#> 152 1 4485.70500 final 100 1, 1 0.2 100
#> 153 1 4538.39996 interim 100 1, 1 0.2 100
#> 154 1 4538.39996 final 100 1, 1 0.2 100
#> 155 1 4621.85701 interim 100 1, 1 0.2 100
#> 156 1 4621.85701 final 100 1, 1 0.2 100
#> 157 1 4980.81111 interim 100 1, 1 0.2 100
#> 158 1 4980.81111 final 100 1, 1 0.2 100
#> 159 1 5022.77206 interim 100 1, 1 0.2 100
#> 160 1 5022.77206 final 100 1, 1 0.2 100
#> 161 1 5025.26114 interim 100 1, 1 0.2 100
#> 162 1 5025.26114 final 100 1, 1 0.2 100
#> 163 1 5283.65388 interim 100 1, 1 0.2 100
#> 164 1 5283.65388 final 100 1, 1 0.2 100
#> 165 1 5322.97061 interim 100 1, 1 0.2 100
#> 166 1 5322.97061 final 100 1, 1 0.2 100
#> 167 1 5454.57682 interim 100 1, 1 0.2 100
#> 168 1 5454.57682 final 100 1, 1 0.2 100
#> 169 1 5667.53959 interim 100 1, 1 0.2 100
#> 170 1 5667.53959 final 100 1, 1 0.2 100
#> 171 1 5807.36313 interim 100 1, 1 0.2 100
#> 172 1 5807.36313 final 100 1, 1 0.2 100
#> 173 1 5822.36146 interim 100 1, 1 0.2 100
#> 174 1 5822.36146 final 100 1, 1 0.2 100
#> 175 1 6024.11144 interim 100 1, 1 0.2 100
#> 176 1 6024.11144 final 100 1, 1 0.2 100
#> 177 1 6033.82973 interim 100 1, 1 0.2 100
#> 178 1 6033.82973 final 100 1, 1 0.2 100
#> 179 1 6099.33001 interim 100 1, 1 0.2 100
#> 180 1 6099.33001 final 100 1, 1 0.2 100
#> 181 1 6240.00557 interim 100 1, 1 0.2 100
#> 182 1 6240.00557 final 100 1, 1 0.2 100
#> 183 1 6313.79473 interim 100 1, 1 0.2 100
#> 184 1 6313.79473 final 100 1, 1 0.2 100
#> 185 1 6398.47626 interim 100 1, 1 0.2 100
#> 186 1 6398.47626 final 100 1, 1 0.2 100
#> 187 1 6843.06418 interim 100 1, 1 0.2 100
#> 188 1 6843.06418 final 100 1, 1 0.2 100
#> 189 1 6893.26695 interim 100 1, 1 0.2 100
#> 190 1 6893.26695 final 100 1, 1 0.2 100
#> 191 1 6937.06974 interim 100 1, 1 0.2 100
#> 192 1 6937.06974 final 100 1, 1 0.2 100
#> 193 1 6940.14080 interim 100 1, 1 0.2 100
#> 194 1 6940.14080 final 100 1, 1 0.2 100
#> 195 1 6951.95172 interim 100 1, 1 0.2 100
#> 196 1 6951.95172 final 100 1, 1 0.2 100
#> 197 1 7300.51551 interim 100 1, 1 0.2 100
#> 198 1 7300.51551 final 100 1, 1 0.2 100
#> 199 1 7357.70574 interim 100 1, 1 0.2 100
#> 200 1 7357.70574 final 100 1, 1 0.2 100
#> 201 1 7422.76732 interim 100 1, 1 0.2 100
#> 202 1 7422.76732 final 100 1, 1 0.2 100
#> 203 1 7434.85486 interim 100 1, 1 0.2 100
#> 204 1 7434.85486 final 100 1, 1 0.2 100
#> 205 1 7455.60494 interim 100 1, 1 0.2 100
#> 206 1 7455.60494 final 100 1, 1 0.2 100
#> 207 1 7516.69768 interim 100 1, 1 0.2 100
#> 208 1 7516.69768 final 100 1, 1 0.2 100
#> 209 1 7811.33067 interim 100 1, 1 0.2 100
#> 210 1 7811.33067 final 100 1, 1 0.2 100
#> 211 1 7857.91280 interim 100 1, 1 0.2 100
#> 212 1 7857.91280 final 100 1, 1 0.2 100
#> 213 1 7997.65149 interim 100 1, 1 0.2 100
#> 214 1 7997.65149 final 100 1, 1 0.2 100
#> 215 1 8034.86411 interim 100 1, 1 0.2 100
#> 216 1 8034.86411 final 100 1, 1 0.2 100
#> 217 1 8063.25236 interim 100 1, 1 0.2 100
#> 218 1 8063.25236 final 100 1, 1 0.2 100
#> 219 1 8163.50249 interim 100 1, 1 0.2 100
#> 220 1 8163.50249 final 100 1, 1 0.2 100
#> 221 1 8287.81000 interim 100 1, 1 0.2 100
#> 222 1 8287.81000 final 100 1, 1 0.2 100
#> 223 1 8329.31008 interim 100 1, 1 0.2 100
#> 224 1 8329.31008 final 100 1, 1 0.2 100
#> 225 1 8368.84116 interim 100 1, 1 0.2 100
#> 226 1 8368.84116 final 100 1, 1 0.2 100
#> 227 1 8400.65785 interim 100 1, 1 0.2 100
#> 228 1 8400.65785 final 100 1, 1 0.2 100
#> 229 1 8571.29608 interim 100 1, 1 0.2 100
#> 230 1 8571.29608 final 100 1, 1 0.2 100
#> 231 1 8584.67803 interim 100 1, 1 0.2 100
#> 232 1 8584.67803 final 100 1, 1 0.2 100
#> 233 1 8625.88371 interim 100 1, 1 0.2 100
#> 234 1 8625.88371 final 100 1, 1 0.2 100
#> 235 1 8644.56538 interim 100 1, 1 0.2 100
#> 236 1 8644.56538 final 100 1, 1 0.2 100
#> 237 1 8700.35951 interim 100 1, 1 0.2 100
#> 238 1 8700.35951 final 100 1, 1 0.2 100
#> 239 1 8828.78289 interim 100 1, 1 0.2 100
#> 240 1 8828.78289 final 100 1, 1 0.2 100
#> 241 1 8850.81043 interim 100 1, 1 0.2 100
#> 242 1 8850.81043 final 100 1, 1 0.2 100
#> 243 1 9065.76198 interim 100 1, 1 0.2 100
#> 244 1 9065.76198 final 100 1, 1 0.2 100
#> 245 1 9187.05539 interim 100 1, 1 0.2 100
#> 246 1 9187.05539 final 100 1, 1 0.2 100
#> 247 2 40.26049 interim 100 1, 1 0.2 50
#> 248 2 40.41300 interim 100 1, 1 0.2 51
#> 249 2 42.80177 interim 100 1, 1 0.2 52
#> 250 2 43.97187 interim 100 1, 1 0.2 53
#> 251 2 45.37149 interim 100 1, 1 0.2 54
#> 252 2 45.85124 interim 100 1, 1 0.2 55
#> 253 2 46.17569 interim 100 1, 1 0.2 56
#> 254 2 46.25208 interim 100 1, 1 0.2 57
#> 255 2 47.26904 interim 100 1, 1 0.2 58
#> 256 2 47.52640 interim 100 1, 1 0.2 59
#> 257 2 48.76312 interim 100 1, 1 0.2 60
#> 258 2 50.25389 interim 100 1, 1 0.2 61
#> 259 2 51.07229 interim 100 1, 1 0.2 62
#> 260 2 51.48618 interim 100 1, 1 0.2 63
#> 261 2 52.64907 interim 100 1, 1 0.2 64
#> 262 2 54.82302 interim 100 1, 1 0.2 65
#> 263 2 54.99248 interim 100 1, 1 0.2 66
#> 264 2 54.99797 interim 100 1, 1 0.2 67
#> 265 2 55.24091 interim 100 1, 1 0.2 68
#> 266 2 56.14004 interim 100 1, 1 0.2 69
#> 267 2 56.99578 interim 100 1, 1 0.2 70
#> 268 2 57.12977 interim 100 1, 1 0.2 71
#> 269 2 58.28487 interim 100 1, 1 0.2 72
#> 270 2 58.98881 interim 100 1, 1 0.2 73
#> 271 2 59.07894 interim 100 1, 1 0.2 74
#> 272 2 60.19569 interim 100 1, 1 0.2 75
#> 273 2 60.27796 interim 100 1, 1 0.2 76
#> 274 2 60.32526 interim 100 1, 1 0.2 77
#> 275 2 60.99938 interim 100 1, 1 0.2 78
#> 276 2 63.84410 interim 100 1, 1 0.2 79
#> 277 2 67.00320 interim 100 1, 1 0.2 80
#> 278 2 67.58740 interim 100 1, 1 0.2 81
#> 279 2 69.59529 interim 100 1, 1 0.2 82
#> 280 2 71.77546 interim 100 1, 1 0.2 83
#> 281 2 71.82889 interim 100 1, 1 0.2 84
#> 282 2 71.99695 interim 100 1, 1 0.2 85
#> 283 2 72.25126 interim 100 1, 1 0.2 86
#> 284 2 73.98488 interim 100 1, 1 0.2 87
#> 285 2 74.76001 interim 100 1, 1 0.2 88
#> 286 2 75.92301 interim 100 1, 1 0.2 89
#> 287 2 76.10327 interim 100 1, 1 0.2 90
#> 288 2 76.41787 interim 100 1, 1 0.2 91
#> 289 2 78.71832 interim 100 1, 1 0.2 92
#> 290 2 79.13490 interim 100 1, 1 0.2 93
#> 291 2 79.20720 interim 100 1, 1 0.2 94
#> 292 2 79.89032 interim 100 1, 1 0.2 95
#> 293 2 81.04052 interim 100 1, 1 0.2 96
#> 294 2 81.28636 interim 100 1, 1 0.2 97
#> 295 2 82.09278 interim 100 1, 1 0.2 98
#> 296 2 83.62521 interim 100 1, 1 0.2 99
#> 297 2 83.92580 interim 100 1, 1 0.2 100
#> 298 2 83.92580 final 100 1, 1 0.2 100
#> 299 2 162.86506 interim 100 1, 1 0.2 100
#> 300 2 162.86506 final 100 1, 1 0.2 100
#> 301 2 164.52703 interim 100 1, 1 0.2 100
#> 302 2 164.52703 final 100 1, 1 0.2 100
#> 303 2 409.86390 interim 100 1, 1 0.2 100
#> 304 2 409.86390 final 100 1, 1 0.2 100
#> 305 2 410.46923 interim 100 1, 1 0.2 100
#> 306 2 410.46923 final 100 1, 1 0.2 100
#> 307 2 711.15813 interim 100 1, 1 0.2 100
#> 308 2 711.15813 final 100 1, 1 0.2 100
#> 309 2 775.96471 interim 100 1, 1 0.2 100
#> 310 2 775.96471 final 100 1, 1 0.2 100
#> 311 2 859.67365 interim 100 1, 1 0.2 100
#> 312 2 859.67365 final 100 1, 1 0.2 100
#> 313 2 1025.88990 interim 100 1, 1 0.2 100
#> 314 2 1025.88990 final 100 1, 1 0.2 100
#> 315 2 1131.25232 interim 100 1, 1 0.2 100
#> 316 2 1131.25232 final 100 1, 1 0.2 100
#> 317 2 1156.72552 interim 100 1, 1 0.2 100
#> 318 2 1156.72552 final 100 1, 1 0.2 100
#> 319 2 1221.70859 interim 100 1, 1 0.2 100
#> 320 2 1221.70859 final 100 1, 1 0.2 100
#> 321 2 1376.43033 interim 100 1, 1 0.2 100
#> 322 2 1376.43033 final 100 1, 1 0.2 100
#> 323 2 1382.39410 interim 100 1, 1 0.2 100
#> 324 2 1382.39410 final 100 1, 1 0.2 100
#> 325 2 1383.07312 interim 100 1, 1 0.2 100
#> 326 2 1383.07312 final 100 1, 1 0.2 100
#> 327 2 1452.59714 interim 100 1, 1 0.2 100
#> 328 2 1452.59714 final 100 1, 1 0.2 100
#> 329 2 1458.82499 interim 100 1, 1 0.2 100
#> 330 2 1458.82499 final 100 1, 1 0.2 100
#> 331 2 1487.90153 interim 100 1, 1 0.2 100
#> 332 2 1487.90153 final 100 1, 1 0.2 100
#> 333 2 1574.45724 interim 100 1, 1 0.2 100
#> 334 2 1574.45724 final 100 1, 1 0.2 100
#> 335 2 1687.75601 interim 100 1, 1 0.2 100
#> 336 2 1687.75601 final 100 1, 1 0.2 100
#> 337 2 1885.57444 interim 100 1, 1 0.2 100
#> 338 2 1885.57444 final 100 1, 1 0.2 100
#> 339 2 1930.83150 interim 100 1, 1 0.2 100
#> 340 2 1930.83150 final 100 1, 1 0.2 100
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#> 743 3 9701.40004 final 100 1, 1 0.2 100
#> 744 3 9706.49654 interim 100 1, 1 0.2 100
#> 745 3 9706.49654 final 100 1, 1 0.2 100
#> 746 3 9730.28383 interim 100 1, 1 0.2 100
#> 747 3 9730.28383 final 100 1, 1 0.2 100
#> mean_pbo mean_trt p_value
#> 1 -0.15458732 0.42624025 0.01626231
#> 2 -0.15458732 0.37749229 0.02687530
#> 3 -0.15458732 0.37414045 0.02464318
#> 4 -0.16888919 0.37414045 0.01925765
#> 5 -0.16888919 0.44412744 0.01055039
#> 6 -0.16888919 0.41689247 0.01299920
#> 7 -0.13071314 0.41689247 0.01951807
#> 8 -0.11762134 0.41689247 0.02072547
#> 9 -0.11762134 0.42515236 0.01671901
#> 10 -0.07328431 0.42515236 0.02812241
#> 11 -0.07328431 0.42586599 0.02511221
#> 12 -0.09211570 0.42586599 0.01894600
#> 13 -0.05942002 0.42586599 0.02703900
#> 14 -0.05942002 0.36181621 0.06006327
#> 15 -0.01578277 0.36181621 0.09297339
#> 16 -0.01578277 0.31269790 0.14545451
#> 17 -0.01578277 0.31000738 0.14168045
#> 18 -0.03113731 0.31000738 0.12017204
#> 19 -0.04401287 0.31000738 0.10338143
#> 20 -0.04401287 0.34102245 0.07506579
#> 21 -0.02048135 0.34102245 0.09231136
#> 22 -0.01156076 0.34102245 0.09695881
#> 23 -0.04666896 0.34102245 0.06943028
#> 24 -0.04666896 0.36277489 0.05270111
#> 25 -0.05559799 0.36277489 0.04574890
#> 26 -0.09112265 0.36277489 0.03134163
#> 27 -0.09112265 0.32562866 0.04742676
#> 28 -0.08152389 0.32562866 0.05054836
#> 29 -0.08152389 0.25838981 0.11383775
#> 30 -0.10004798 0.25838981 0.09410191
#> 31 -0.10004798 0.24784925 0.09861576
#> 32 -0.10004798 0.30361838 0.06094877
#> 33 -0.09191048 0.30361838 0.06417478
#> 34 -0.09191048 0.30842468 0.05697569
#> 35 -0.09191048 0.30510754 0.05513630
#> 36 -0.05896468 0.30510754 0.07931298
#> 37 -0.05896468 0.30399454 0.07578260
#> 38 -0.06163035 0.30399454 0.07124254
#> 39 -0.06163035 0.33522514 0.05011246
#> 40 -0.06163035 0.35355699 0.03867769
#> 41 -0.06163035 0.35867032 0.03397010
#> 42 -0.06163035 0.38682777 0.02354243
#> 43 -0.05545868 0.38682777 0.02428096
#> 44 -0.01864018 0.38682777 0.04026614
#> 45 -0.01864018 0.36436087 0.05098385
#> 46 -0.02804583 0.36436087 0.04408675
#> 47 -0.02804583 0.36011971 0.04373186
#> 48 -0.02711106 0.36011971 0.04247915
#> 49 -0.02711106 0.35801094 0.04107039
#> 50 -0.02475451 0.35801094 0.04064238
#> 51 -0.02475451 0.32833062 0.05877739
#> 52 -0.02475451 0.32833062 0.05877739
#> 53 -0.02475451 0.32833062 0.05877739
#> 54 -0.02475451 0.32833062 0.05877739
#> 55 -0.02475451 0.32833062 0.05877739
#> 56 -0.02475451 0.32833062 0.05877739
#> 57 -0.02475451 0.32833062 0.05877739
#> 58 -0.02475451 0.32833062 0.05877739
#> 59 -0.02475451 0.32833062 0.05877739
#> 60 -0.02475451 0.32833062 0.05877739
#> 61 -0.02475451 0.32833062 0.05877739
#> 62 -0.02475451 0.32833062 0.05877739
#> 63 -0.02475451 0.32833062 0.05877739
#> 64 -0.02475451 0.32833062 0.05877739
#> 65 -0.02475451 0.32833062 0.05877739
#> 66 -0.02475451 0.32833062 0.05877739
#> 67 -0.02475451 0.32833062 0.05877739
#> 68 -0.02475451 0.32833062 0.05877739
#> 69 -0.02475451 0.32833062 0.05877739
#> 70 -0.02475451 0.32833062 0.05877739
#> 71 -0.02475451 0.32833062 0.05877739
#> 72 -0.02475451 0.32833062 0.05877739
#> 73 -0.02475451 0.32833062 0.05877739
#> 74 -0.02475451 0.32833062 0.05877739
#> 75 -0.02475451 0.32833062 0.05877739
#> 76 -0.02475451 0.32833062 0.05877739
#> 77 -0.02475451 0.32833062 0.05877739
#> 78 -0.02475451 0.32833062 0.05877739
#> 79 -0.02475451 0.32833062 0.05877739
#> 80 -0.02475451 0.32833062 0.05877739
#> 81 -0.02475451 0.32833062 0.05877739
#> 82 -0.02475451 0.32833062 0.05877739
#> 83 -0.02475451 0.32833062 0.05877739
#> 84 -0.02475451 0.32833062 0.05877739
#> 85 -0.02475451 0.32833062 0.05877739
#> 86 -0.02475451 0.32833062 0.05877739
#> 87 -0.02475451 0.32833062 0.05877739
#> 88 -0.02475451 0.32833062 0.05877739
#> 89 -0.02475451 0.32833062 0.05877739
#> 90 -0.02475451 0.32833062 0.05877739
#> 91 -0.02475451 0.32833062 0.05877739
#> 92 -0.02475451 0.32833062 0.05877739
#> 93 -0.02475451 0.32833062 0.05877739
#> 94 -0.02475451 0.32833062 0.05877739
#> 95 -0.02475451 0.32833062 0.05877739
#> 96 -0.02475451 0.32833062 0.05877739
#> 97 -0.02475451 0.32833062 0.05877739
#> 98 -0.02475451 0.32833062 0.05877739
#> 99 -0.02475451 0.32833062 0.05877739
#> 100 -0.02475451 0.32833062 0.05877739
#> 101 -0.02475451 0.32833062 0.05877739
#> 102 -0.02475451 0.32833062 0.05877739
#> 103 -0.02475451 0.32833062 0.05877739
#> 104 -0.02475451 0.32833062 0.05877739
#> 105 -0.02475451 0.32833062 0.05877739
#> 106 -0.02475451 0.32833062 0.05877739
#> 107 -0.02475451 0.32833062 0.05877739
#> 108 -0.02475451 0.32833062 0.05877739
#> 109 -0.02475451 0.32833062 0.05877739
#> 110 -0.02475451 0.32833062 0.05877739
#> 111 -0.02475451 0.32833062 0.05877739
#> 112 -0.02475451 0.32833062 0.05877739
#> 113 -0.02475451 0.32833062 0.05877739
#> 114 -0.02475451 0.32833062 0.05877739
#> 115 -0.02475451 0.32833062 0.05877739
#> 116 -0.02475451 0.32833062 0.05877739
#> 117 -0.02475451 0.32833062 0.05877739
#> 118 -0.02475451 0.32833062 0.05877739
#> 119 -0.02475451 0.32833062 0.05877739
#> 120 -0.02475451 0.32833062 0.05877739
#> 121 -0.02475451 0.32833062 0.05877739
#> 122 -0.02475451 0.32833062 0.05877739
#> 123 -0.02475451 0.32833062 0.05877739
#> 124 -0.02475451 0.32833062 0.05877739
#> 125 -0.02475451 0.32833062 0.05877739
#> 126 -0.02475451 0.32833062 0.05877739
#> 127 -0.02475451 0.32833062 0.05877739
#> 128 -0.02475451 0.32833062 0.05877739
#> 129 -0.02475451 0.32833062 0.05877739
#> 130 -0.02475451 0.32833062 0.05877739
#> 131 -0.02475451 0.32833062 0.05877739
#> 132 -0.02475451 0.32833062 0.05877739
#> 133 -0.02475451 0.32833062 0.05877739
#> 134 -0.02475451 0.32833062 0.05877739
#> 135 -0.02475451 0.32833062 0.05877739
#> 136 -0.02475451 0.32833062 0.05877739
#> 137 -0.02475451 0.32833062 0.05877739
#> 138 -0.02475451 0.32833062 0.05877739
#> 139 -0.02475451 0.32833062 0.05877739
#> 140 -0.02475451 0.32833062 0.05877739
#> 141 -0.02475451 0.32833062 0.05877739
#> 142 -0.02475451 0.32833062 0.05877739
#> 143 -0.02475451 0.32833062 0.05877739
#> 144 -0.02475451 0.32833062 0.05877739
#> 145 -0.02475451 0.32833062 0.05877739
#> 146 -0.02475451 0.32833062 0.05877739
#> 147 -0.02475451 0.32833062 0.05877739
#> 148 -0.02475451 0.32833062 0.05877739
#> 149 -0.02475451 0.32833062 0.05877739
#> 150 -0.02475451 0.32833062 0.05877739
#> 151 -0.02475451 0.32833062 0.05877739
#> 152 -0.02475451 0.32833062 0.05877739
#> 153 -0.02475451 0.32833062 0.05877739
#> 154 -0.02475451 0.32833062 0.05877739
#> 155 -0.02475451 0.32833062 0.05877739
#> 156 -0.02475451 0.32833062 0.05877739
#> 157 -0.02475451 0.32833062 0.05877739
#> 158 -0.02475451 0.32833062 0.05877739
#> 159 -0.02475451 0.32833062 0.05877739
#> 160 -0.02475451 0.32833062 0.05877739
#> 161 -0.02475451 0.32833062 0.05877739
#> 162 -0.02475451 0.32833062 0.05877739
#> 163 -0.02475451 0.32833062 0.05877739
#> 164 -0.02475451 0.32833062 0.05877739
#> 165 -0.02475451 0.32833062 0.05877739
#> 166 -0.02475451 0.32833062 0.05877739
#> 167 -0.02475451 0.32833062 0.05877739
#> 168 -0.02475451 0.32833062 0.05877739
#> 169 -0.02475451 0.32833062 0.05877739
#> 170 -0.02475451 0.32833062 0.05877739
#> 171 -0.02475451 0.32833062 0.05877739
#> 172 -0.02475451 0.32833062 0.05877739
#> 173 -0.02475451 0.32833062 0.05877739
#> 174 -0.02475451 0.32833062 0.05877739
#> 175 -0.02475451 0.32833062 0.05877739
#> 176 -0.02475451 0.32833062 0.05877739
#> 177 -0.02475451 0.32833062 0.05877739
#> 178 -0.02475451 0.32833062 0.05877739
#> 179 -0.02475451 0.32833062 0.05877739
#> 180 -0.02475451 0.32833062 0.05877739
#> 181 -0.02475451 0.32833062 0.05877739
#> 182 -0.02475451 0.32833062 0.05877739
#> 183 -0.02475451 0.32833062 0.05877739
#> 184 -0.02475451 0.32833062 0.05877739
#> 185 -0.02475451 0.32833062 0.05877739
#> 186 -0.02475451 0.32833062 0.05877739
#> 187 -0.02475451 0.32833062 0.05877739
#> 188 -0.02475451 0.32833062 0.05877739
#> 189 -0.02475451 0.32833062 0.05877739
#> 190 -0.02475451 0.32833062 0.05877739
#> 191 -0.02475451 0.32833062 0.05877739
#> 192 -0.02475451 0.32833062 0.05877739
#> 193 -0.02475451 0.32833062 0.05877739
#> 194 -0.02475451 0.32833062 0.05877739
#> 195 -0.02475451 0.32833062 0.05877739
#> 196 -0.02475451 0.32833062 0.05877739
#> 197 -0.02475451 0.32833062 0.05877739
#> 198 -0.02475451 0.32833062 0.05877739
#> 199 -0.02475451 0.32833062 0.05877739
#> 200 -0.02475451 0.32833062 0.05877739
#> 201 -0.02475451 0.32833062 0.05877739
#> 202 -0.02475451 0.32833062 0.05877739
#> 203 -0.02475451 0.32833062 0.05877739
#> 204 -0.02475451 0.32833062 0.05877739
#> 205 -0.02475451 0.32833062 0.05877739
#> 206 -0.02475451 0.32833062 0.05877739
#> 207 -0.02475451 0.32833062 0.05877739
#> 208 -0.02475451 0.32833062 0.05877739
#> 209 -0.02475451 0.32833062 0.05877739
#> 210 -0.02475451 0.32833062 0.05877739
#> 211 -0.02475451 0.32833062 0.05877739
#> 212 -0.02475451 0.32833062 0.05877739
#> 213 -0.02475451 0.32833062 0.05877739
#> 214 -0.02475451 0.32833062 0.05877739
#> 215 -0.02475451 0.32833062 0.05877739
#> 216 -0.02475451 0.32833062 0.05877739
#> 217 -0.02475451 0.32833062 0.05877739
#> 218 -0.02475451 0.32833062 0.05877739
#> 219 -0.02475451 0.32833062 0.05877739
#> 220 -0.02475451 0.32833062 0.05877739
#> 221 -0.02475451 0.32833062 0.05877739
#> 222 -0.02475451 0.32833062 0.05877739
#> 223 -0.02475451 0.32833062 0.05877739
#> 224 -0.02475451 0.32833062 0.05877739
#> 225 -0.02475451 0.32833062 0.05877739
#> 226 -0.02475451 0.32833062 0.05877739
#> 227 -0.02475451 0.32833062 0.05877739
#> 228 -0.02475451 0.32833062 0.05877739
#> 229 -0.02475451 0.32833062 0.05877739
#> 230 -0.02475451 0.32833062 0.05877739
#> 231 -0.02475451 0.32833062 0.05877739
#> 232 -0.02475451 0.32833062 0.05877739
#> 233 -0.02475451 0.32833062 0.05877739
#> 234 -0.02475451 0.32833062 0.05877739
#> 235 -0.02475451 0.32833062 0.05877739
#> 236 -0.02475451 0.32833062 0.05877739
#> 237 -0.02475451 0.32833062 0.05877739
#> 238 -0.02475451 0.32833062 0.05877739
#> 239 -0.02475451 0.32833062 0.05877739
#> 240 -0.02475451 0.32833062 0.05877739
#> 241 -0.02475451 0.32833062 0.05877739
#> 242 -0.02475451 0.32833062 0.05877739
#> 243 -0.02475451 0.32833062 0.05877739
#> 244 -0.02475451 0.32833062 0.05877739
#> 245 -0.02475451 0.32833062 0.05877739
#> 246 -0.02475451 0.32833062 0.05877739
#> 247 -0.04934773 0.02698932 0.80070480
#> 248 -0.04934773 0.09869826 0.62851043
#> 249 -0.04934773 0.11210911 0.59179596
#> 250 -0.04934773 0.11288434 0.58400256
#> 251 -0.02989248 0.11288434 0.62262264
#> 252 -0.06299402 0.11288434 0.53875938
#> 253 -0.06299402 0.07251811 0.63354879
#> 254 -0.01933395 0.07251811 0.74450040
#> 255 -0.01933395 0.11574167 0.63073193
#> 256 -0.02635203 0.11574167 0.60633935
#> 257 -0.02635203 0.11079665 0.61345738
#> 258 -0.02635203 0.13454551 0.54937007
#> 259 -0.07676065 0.13454551 0.43183720
#> 260 -0.07676065 0.19605435 0.31704177
#> 261 -0.05182129 0.19605435 0.35650113
#> 262 -0.05182129 0.20246975 0.33758030
#> 263 -0.03011311 0.20246975 0.37357764
#> 264 -0.03011311 0.22276947 0.32845013
#> 265 -0.03011311 0.23749916 0.29578768
#> 266 -0.08780447 0.23749916 0.20867554
#> 267 -0.04345569 0.23749916 0.27605426
#> 268 -0.03912615 0.23749916 0.27572826
#> 269 -0.04133790 0.23749916 0.26464655
#> 270 -0.09933677 0.23749916 0.18424889
#> 271 -0.09933677 0.26489751 0.14878323
#> 272 -0.11566719 0.26489751 0.12692598
#> 273 -0.11566719 0.28739243 0.10345860
#> 274 -0.12875964 0.28739243 0.08884740
#> 275 -0.11680052 0.28739243 0.09420134
#> 276 -0.11680052 0.27597666 0.09981568
#> 277 -0.11680052 0.26254818 0.10809972
#> 278 -0.08261549 0.26254818 0.14215610
#> 279 -0.04608380 0.26254818 0.18850760
#> 280 -0.04608380 0.25045505 0.20167221
#> 281 -0.03159353 0.25045505 0.21934224
#> 282 -0.03159353 0.18505220 0.35849950
#> 283 -0.03159353 0.18790621 0.34666303
#> 284 -0.03943525 0.18790621 0.32432592
#> 285 -0.03943525 0.18485079 0.32537841
#> 286 -0.04013892 0.18485079 0.31824878
#> 287 -0.06017972 0.18485079 0.27392780
#> 288 -0.06619135 0.18485079 0.25750237
#> 289 -0.06619135 0.17962848 0.26208778
#> 290 -0.06619135 0.15292571 0.31545548
#> 291 -0.06619135 0.12543989 0.37840896
#> 292 -0.07363654 0.12543989 0.35544048
#> 293 -0.07363654 0.11737571 0.37041223
#> 294 -0.09430768 0.11737571 0.31843280
#> 295 -0.09430768 0.13052493 0.28540743
#> 296 -0.08461093 0.13052493 0.30217147
#> 297 -0.05831826 0.13052493 0.36397787
#> 298 -0.05831826 0.13052493 0.36397787
#> 299 -0.05831826 0.13052493 0.36397787
#> 300 -0.05831826 0.13052493 0.36397787
#> 301 -0.05831826 0.13052493 0.36397787
#> 302 -0.05831826 0.13052493 0.36397787
#> 303 -0.05831826 0.13052493 0.36397787
#> 304 -0.05831826 0.13052493 0.36397787
#> 305 -0.05831826 0.13052493 0.36397787
#> 306 -0.05831826 0.13052493 0.36397787
#> 307 -0.05831826 0.13052493 0.36397787
#> 308 -0.05831826 0.13052493 0.36397787
#> 309 -0.05831826 0.13052493 0.36397787
#> 310 -0.05831826 0.13052493 0.36397787
#> 311 -0.05831826 0.13052493 0.36397787
#> 312 -0.05831826 0.13052493 0.36397787
#> 313 -0.05831826 0.13052493 0.36397787
#> 314 -0.05831826 0.13052493 0.36397787
#> 315 -0.05831826 0.13052493 0.36397787
#> 316 -0.05831826 0.13052493 0.36397787
#> 317 -0.05831826 0.13052493 0.36397787
#> 318 -0.05831826 0.13052493 0.36397787
#> 319 -0.05831826 0.13052493 0.36397787
#> 320 -0.05831826 0.13052493 0.36397787
#> 321 -0.05831826 0.13052493 0.36397787
#> 322 -0.05831826 0.13052493 0.36397787
#> 323 -0.05831826 0.13052493 0.36397787
#> 324 -0.05831826 0.13052493 0.36397787
#> 325 -0.05831826 0.13052493 0.36397787
#> 326 -0.05831826 0.13052493 0.36397787
#> 327 -0.05831826 0.13052493 0.36397787
#> 328 -0.05831826 0.13052493 0.36397787
#> 329 -0.05831826 0.13052493 0.36397787
#> 330 -0.05831826 0.13052493 0.36397787
#> 331 -0.05831826 0.13052493 0.36397787
#> 332 -0.05831826 0.13052493 0.36397787
#> 333 -0.05831826 0.13052493 0.36397787
#> 334 -0.05831826 0.13052493 0.36397787
#> 335 -0.05831826 0.13052493 0.36397787
#> 336 -0.05831826 0.13052493 0.36397787
#> 337 -0.05831826 0.13052493 0.36397787
#> 338 -0.05831826 0.13052493 0.36397787
#> 339 -0.05831826 0.13052493 0.36397787
#> 340 -0.05831826 0.13052493 0.36397787
#> 341 -0.05831826 0.13052493 0.36397787
#> 342 -0.05831826 0.13052493 0.36397787
#> 343 -0.05831826 0.13052493 0.36397787
#> 344 -0.05831826 0.13052493 0.36397787
#> 345 -0.05831826 0.13052493 0.36397787
#> 346 -0.05831826 0.13052493 0.36397787
#> 347 -0.05831826 0.13052493 0.36397787
#> 348 -0.05831826 0.13052493 0.36397787
#> 349 -0.05831826 0.13052493 0.36397787
#> 350 -0.05831826 0.13052493 0.36397787
#> 351 -0.05831826 0.13052493 0.36397787
#> 352 -0.05831826 0.13052493 0.36397787
#> 353 -0.05831826 0.13052493 0.36397787
#> 354 -0.05831826 0.13052493 0.36397787
#> 355 -0.05831826 0.13052493 0.36397787
#> 356 -0.05831826 0.13052493 0.36397787
#> 357 -0.05831826 0.13052493 0.36397787
#> 358 -0.05831826 0.13052493 0.36397787
#> 359 -0.05831826 0.13052493 0.36397787
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#> 499 -0.14213989 -0.13708169 0.98578393
#> 500 -0.14213989 -0.07810005 0.82112099
#> 501 -0.14213989 -0.02455509 0.67661747
#> 502 -0.11274408 -0.02455509 0.75198759
#> 503 -0.12992344 -0.02455509 0.70228463
#> 504 -0.15160166 -0.02455509 0.64160245
#> 505 -0.13315922 -0.02455509 0.68761210
#> 506 -0.18229742 -0.02455509 0.56149801
#> 507 -0.23831953 -0.02455509 0.43650499
#> 508 -0.23831953 -0.02411999 0.42441575
#> 509 -0.23831953 -0.02261879 0.41071591
#> 510 -0.22585245 -0.02261879 0.43282312
#> 511 -0.27375107 -0.02261879 0.33566905
#> 512 -0.27375107 -0.06747884 0.42577436
#> 513 -0.25333326 -0.06747884 0.46887864
#> 514 -0.25333326 -0.09701684 0.53656227
#> 515 -0.25333326 -0.03517485 0.39429922
#> 516 -0.25333326 -0.08625276 0.51417389
#> 517 -0.25333326 -0.04822813 0.42030071
#> 518 -0.25333326 -0.04966244 0.41524434
#> 519 -0.23572265 -0.04966244 0.45227102
#> 520 -0.23572265 -0.04966244 0.45227102
#> 521 -0.23117368 -0.04966244 0.45833590
#> 522 -0.22441138 -0.04966244 0.47060919
#> 523 -0.21960818 -0.04966244 0.47848849
#> 524 -0.14716006 -0.04966244 0.69424313
#> 525 -0.14716006 -0.04603695 0.67838086
#> 526 -0.16736889 -0.04603695 0.61634713
#> 527 -0.16736889 -0.06564889 0.67037369
#> 528 -0.16736889 -0.02859086 0.56039998
#> 529 -0.17267290 -0.02859086 0.54135254
#> 530 -0.17267290 -0.01660923 0.50237360
#> 531 -0.17267290 -0.04887628 0.59273030
#> 532 -0.17267290 -0.04949283 0.58934493
#> 533 -0.17267290 -0.02381784 0.51148186
#> 534 -0.17267290 -0.03138729 0.52806820
#> 535 -0.17267290 -0.02518923 0.50512824
#> 536 -0.17267290 -0.03497588 0.52933485
#> 537 -0.19412491 -0.03497588 0.46430319
#> 538 -0.19412491 0.01944371 0.33628952
#> 539 -0.19412491 0.03135457 0.30532484
#> 540 -0.20333675 0.03135457 0.28116702
#> 541 -0.20333675 0.04236117 0.25462777
#> 542 -0.20175774 0.04236117 0.25250298
#> 543 -0.20175774 0.06894365 0.20343285
#> 544 -0.18170348 0.06894365 0.23586429
#> 545 -0.21957411 0.06894365 0.17553605
#> 546 -0.24518562 0.06894365 0.13954054
#> 547 -0.24518562 0.09476043 0.10902193
#> 548 -0.24518562 0.09527378 0.10481956
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#> 680 -0.25739017 0.08945477 0.09253380
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#> 700 -0.25739017 0.08945477 0.09253380
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#> 706 -0.25739017 0.08945477 0.09253380
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#> 710 -0.25739017 0.08945477 0.09253380
#> 711 -0.25739017 0.08945477 0.09253380
#> 712 -0.25739017 0.08945477 0.09253380
#> 713 -0.25739017 0.08945477 0.09253380
#> 714 -0.25739017 0.08945477 0.09253380
#> 715 -0.25739017 0.08945477 0.09253380
#> 716 -0.25739017 0.08945477 0.09253380
#> 717 -0.25739017 0.08945477 0.09253380
#> 718 -0.25739017 0.08945477 0.09253380
#> 719 -0.25739017 0.08945477 0.09253380
#> 720 -0.25739017 0.08945477 0.09253380
#> 721 -0.25739017 0.08945477 0.09253380
#> 722 -0.25739017 0.08945477 0.09253380
#> 723 -0.25739017 0.08945477 0.09253380
#> 724 -0.25739017 0.08945477 0.09253380
#> 725 -0.25739017 0.08945477 0.09253380
#> 726 -0.25739017 0.08945477 0.09253380
#> 727 -0.25739017 0.08945477 0.09253380
#> 728 -0.25739017 0.08945477 0.09253380
#> 729 -0.25739017 0.08945477 0.09253380
#> 730 -0.25739017 0.08945477 0.09253380
#> 731 -0.25739017 0.08945477 0.09253380
#> 732 -0.25739017 0.08945477 0.09253380
#> 733 -0.25739017 0.08945477 0.09253380
#> 734 -0.25739017 0.08945477 0.09253380
#> 735 -0.25739017 0.08945477 0.09253380
#> 736 -0.25739017 0.08945477 0.09253380
#> 737 -0.25739017 0.08945477 0.09253380
#> 738 -0.25739017 0.08945477 0.09253380
#> 739 -0.25739017 0.08945477 0.09253380
#> 740 -0.25739017 0.08945477 0.09253380
#> 741 -0.25739017 0.08945477 0.09253380
#> 742 -0.25739017 0.08945477 0.09253380
#> 743 -0.25739017 0.08945477 0.09253380
#> 744 -0.25739017 0.08945477 0.09253380
#> 745 -0.25739017 0.08945477 0.09253380
#> 746 -0.25739017 0.08945477 0.09253380
#> 747 -0.25739017 0.08945477 0.09253380collect_results() prepends replicate,
timepoint, and analysis columns to your result
data. Each row shows either "interim" or
"final" in the analysis column, reflecting
which named analysis produced it. This naming convention becomes
essential in later examples where multiple named analyses fire per
replicate.