replext_t2_c1.1 {npboottprm}

Replicate and Extend Simulation Results from Table 2 Cell 1.1

Description

This function attempts to replicate and extend the simulation results from Table 2 cell block 1.1 of the paper by Dwivedi et al. (2017). The default parameter values aim to replicate the results from the paper, while modifying the parameter values allows for an extension of the results.

Usage

replext_t2_c1.1(
  M1 = 5,
  S1 = 1,
  M2 = 5,
  S2 = 1,
  Sk1 = NULL,
  Sk2 = NULL,
  n1 = c(3, 4, 5, 6, 7, 8, 9, 10, 15),
  n2 = c(3, 4, 5, 6, 7, 8, 9, 10, 15),
  n_simulations = 10000,
  nboot = 1000,
  conf.level = 0.95
)

Arguments

M1

Mean for the first group, default is 5.

S1

Standard deviation for the first group, default is 1.

M2

Mean for the second group, default is 5.

S2

Standard deviation for the second group, default is 1.

Sk1

Skewness parameter for the first group, default is NULL (normal distribution).

Sk2

Skewness parameter for the second group, default is NULL (normal distribution).

n1

Vector of sample sizes for the first group.

n2

Vector of sample sizes for the second group, must be the same length as n1.

n_simulations

Number of simulations to run, default is 10,000.

nboot

Number of bootstrap samples, default is 1000.

conf.level

Confidence level for calculating p-value thresholds, default is 0.95.

Value

A data frame with columns for each sample size pair (n1, n2) and the proportions of significant p-values for each test (ST, WT, NPBTT, WRST, PTT).

References

Dwivedi AK, Mallawaarachchi I, Alvarado LA. Analysis of small sample size studies using nonparametric bootstrap test with pooled resampling method. Stat Med. 2017 Jun 30;36(14):2187-2205. doi: 10.1002/sim.7263. Epub 2017 Mar 9. PMID: 28276584.

Examples

replext_t2_c1.1(n1 = c(4), n2 = c(4), n_simulations = 1)