The user chooses the context (d_m), MTP, MDES, and choices of all relevant design parameters.
The functions returns power for all definitions of power for any MTP. For a list of choices for specific parameters, see pump_info().
pump_power(
  d_m,
  MTP = NULL,
  MDES,
  numZero = NULL,
  propZero = NULL,
  M = 1,
  nbar,
  J = 1,
  K = 1,
  Tbar,
  alpha = 0.05,
  two.tailed = TRUE,
  numCovar.1 = 0,
  numCovar.2 = 0,
  numCovar.3 = 0,
  R2.1 = 0,
  R2.2 = 0,
  R2.3 = 0,
  ICC.2 = 0,
  ICC.3 = 0,
  omega.2 = 0,
  omega.3 = 0,
  rho = NULL,
  rho.matrix = NULL,
  tnum = 10000,
  B = 1000,
  parallel.WY.cores = 1,
  drop.zero.outcomes = TRUE,
  updateProgress = NULL,
  validate.inputs = TRUE,
  long.table = FALSE,
  verbose = FALSE,
  exact.where.possible = TRUE
)a pumpresult object containing power results.
string; a single context, which is a design and model code. See pump_info() for list of choices.
string, or vector of strings; multiple testing procedure(s). See pump_info() for list of choices.
scalar or vector; the desired MDES values for each outcome. Please provide a scalar, a vector of length M, or vector of values for non-zero outcomes.
scalar; additional number of outcomes assumed to be zero. Please provide NumZero + length(MDES) = M, if length(MDES) is not 1.
scalar; proportion of outcomes assumed to be zero (alternative specification to numZero). length(MDES) should be 1 or equal to (1-propZero)*M.
scalar; the number of hypothesis tests (outcomes), including zero outcomes.
scalar; the harmonic mean of the number of level 1 units per level 2 unit (students per school). Note that this is not the total number of level 1 units, but instead the number of level 1 units nested within each level 2 unit, so the total number of level 1 units is nbar x J x K.
scalar; the harmonic mean of number of level 2 units per level 3 unit (schools per district). Note that this is not the total number of level 2 units, but instead the number of level 2 units nested within each level 3 unit, so the total number of level 2 units is J x K.
scalar; the number of level 3 units (districts).
scalar; the proportion of samples that are assigned to the treatment.
scalar; the family wise error rate (FWER).
scalar; TRUE/FALSE for two-tailed or one-tailed power calculation.
scalar; number of level 1 (individual) covariates.
scalar; number of level 2 (school) covariates.
scalar; number of level 3 (district) covariates.
scalar, or vector of length M; percent of variation explained by level 1 covariates for each outcome.
scalar, or vector of length M; percent of variation explained by level 2 covariates for each outcome.
scalar, or vector of length M; percent of variation explained by level 3 covariates for each outcome.
scalar, or vector of length M; level 2 (school) intraclass correlation.
scalar, or vector length M; level 3 (district) intraclass correlation.
scalar, or vector of length M; ratio of variance of level 2 average impacts to variance of level 2 random intercepts.
scalar, or vector of length M; ratio of variance of level 3 average impacts to variance of level 3 random intercepts.
scalar; assumed correlation between all pairs of test statistics.
matrix; alternate specification allowing a full matrix of correlations between test statistics. Must specify either rho or rho.matrix, but not both.
scalar; the number of test statistics to draw. Increasing tnum increases precision and computation time.
scalar; the number of permutations for Westfall-Young procedures.
number of cores to use for parallel processing of WY-SD.
whether to report power results for outcomes with MDES = 0. If ALL MDES = 0, then the first outcome will not be dropped.
function to update progress bar (only used for PUMP shiny app).
TRUE/FALSE; whether or not to check whether parameters are valid given the choice of d_m.
TRUE for table with power as rows, correction as columns, and with more verbose names. See `transpose_power_table`.
TRUE/FALSE; Print out diagnostics of time, etc.
TRUE/FALSE; whether to do exact calculations when M=1, or use simulation. Default is TRUE.
For more detailed information about this function and the user choices, see the manuscript <doi:10.18637/jss.v108.i06>, which includes a detailed Technical Appendix including information about the designs and models and parameters.
pp <- pump_power(
   d_m = "d3.2_m3ff2rc",
   MTP = 'HO',
   nbar = 50,
   J = 30,
   K = 10,
   M = 5,
   MDES = 0.125,
   Tbar = 0.5, alpha = 0.05,
   numCovar.1 = 1, numCovar.2 = 1,
   R2.1 = 0.1, R2.2 = 0.1,
   ICC.2 = 0.2, ICC.3 = 0.2,
   omega.2 = 0, omega.3 = 0.1,
   rho = 0.5)
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