replext_t3_c3.1 {npboottprm}

Replicate and Extend Statistical Power Analysis from Table 3 Cell 3.1

Description

This function is aimed at replicating and extending the statistical power analysis from Table 3 cell block 3.1 in the paper by Dwivedi et al. (2017). It addresses scenarios with different skewed distributions but equal variance and different means in the two groups. It utilizes replext_t2_c1.1 for calculations by setting specific skewness parameters.

Usage

replext_t3_c3.1(
  M1 = 5,
  S1 = 1,
  M2 = 7,
  S2 = 1,
  Sk1 = 0.8,
  Sk2 = 1,
  n1 = c(3, 4, 5, 6, 7, 8, 9, 10, 15, 25, 50, 100),
  n2 = c(3, 4, 5, 6, 7, 8, 9, 10, 15, 25, 50, 100),
  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 7.

S2

Standard deviation for the second group, default is 1.

Sk1

Skewness parameter for the first group, default is 0.8.

Sk2

Skewness parameter for the second group, default is 1.0.

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), indicating the power analysis.

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.

See Also

replext_t2_c1.1

Examples

replext_t3_c3.1(n1 = c(10), n2 = c(10), n_simulations = 1)