pump_mdes {PUMP}

Estimate the minimum detectable effect size (MDES) (core function)

Description

The user chooses the context (d_m), MTP, power definition, and choices of all relevant design parameters.

The functions performs a search algorithm, and returns the MDES value within the specified tolerance. For a list of choices for specific parameters, see pump_info().

Usage

pump_mdes(
  d_m,
  MTP = NULL,
  numZero = NULL,
  propZero = NULL,
  M = 1,
  nbar,
  J = 1,
  K = 1,
  Tbar,
  alpha = 0.05,
  two.tailed = TRUE,
  target.power = 0.8,
  power.definition,
  tol = 0.02,
  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,
  B = 1000,
  max.steps = 20,
  tnum = 1000,
  start.tnum = round(tnum/10),
  final.tnum = 4 * tnum,
  parallel.WY.cores = 1,
  updateProgress = NULL,
  give.optimizer.warnings = FALSE,
  verbose = FALSE
)

Arguments

d_m

string; a single context, which is a design and model code. See pump_info() for list of choices.

MTP

string, or vector of strings; multiple testing procedure(s). See pump_info() for list of choices.

numZero

scalar; additional number of outcomes assumed to be zero. Please provide NumZero + length(MDES) = M, if length(MDES) is not 1.

propZero

scalar; proportion of outcomes assumed to be zero (alternative specification to numZero). length(MDES) should be 1 or equal to (1-propZero)*M.

M

scalar; the number of hypothesis tests (outcomes), including zero outcomes.

nbar

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.

J

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.

K

scalar; the number of level 3 units (districts).

Tbar

scalar; the proportion of samples that are assigned to the treatment.

alpha

scalar; the family wise error rate (FWER).

two.tailed

scalar; TRUE/FALSE for two-tailed or one-tailed power calculation.

target.power

target power for search algorithm.

power.definition

see pump_info() for possible power definitions.

tol

tolerance for target power, defaults to 0.01 (1 This parameter controls when the search is done: when estimated power (checked with 'final.tnum' iterations) is within 'tol', the search stops.

numCovar.1

scalar; number of level 1 (individual) covariates.

numCovar.2

scalar; number of level 2 (school) covariates.

numCovar.3

scalar; number of level 3 (district) covariates.

R2.1

scalar, or vector of length M; percent of variation explained by level 1 covariates for each outcome.

R2.2

scalar, or vector of length M; percent of variation explained by level 2 covariates for each outcome.

R2.3

scalar, or vector of length M; percent of variation explained by level 3 covariates for each outcome.

ICC.2

scalar, or vector of length M; level 2 (school) intraclass correlation.

ICC.3

scalar, or vector length M; level 3 (district) intraclass correlation.

omega.2

scalar, or vector of length M; ratio of variance of level 2 average impacts to variance of level 2 random intercepts.

omega.3

scalar, or vector of length M; ratio of variance of level 3 average impacts to variance of level 3 random intercepts.

rho

scalar; assumed correlation between all pairs of test statistics.

rho.matrix

matrix; alternate specification allowing a full matrix of correlations between test statistics. Must specify either rho or rho.matrix, but not both.

B

scalar; the number of permutations for Westfall-Young procedures.

max.steps

how many steps allowed before terminating.

tnum

max number of samples for first iteration of search algorithm.

start.tnum

number of samples to start search (this will increase with each step).

final.tnum

number of samples for final draw.

parallel.WY.cores

number of cores to use for parallel processing of WY-SD.

updateProgress

function to update progress bar (only used for PUMP shiny app).

give.optimizer.warnings

whether to return verbose optimizer warnings.

verbose

TRUE/FALSE; Print out diagnostics of time, etc.

Value

a pumpresult object containing MDES results.

See Also

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.

Examples

mdes <-  pump_mdes(
  d_m = "d3.1_m3rr2rr",
  MTP = 'HO',
  power.definition = 'D1indiv',
  target.power = 0.6,
  J = 30,
  K = 15,
  nbar = 50,
  M = 3,
  Tbar = 0.5, alpha = 0.05,
  two.tailed = FALSE,
  numCovar.1 = 1, numCovar.2 = 1,
  R2.1 = 0.1, R2.2 = 0.1,
  ICC.2 = 0.2, ICC.3 = 0.2,
  omega.2 = 0.1, omega.3 = 0.1,
  rho = 0.5, tnum = 2000)