replext_t2_c1 {mmirestriktor}

Generate Replext Tables for Linear Regression Analysis

Description

This function generates replext tables for linear regression, similar to those in Table 2 Cell 1 of the referenced paper. It computes minimum sample sizes for various power and effect size combinations, and calculates Type I error rates.

Usage

replext_t2_c1(
  S = 20000,
  p = 3,
  f2s = c(0.02, 0.05, 0.08, 0.1, 0.15, 0.2, 0.25, 0.35),
  n_start = 6,
  constrs = c(0, 1, 2, 3),
  rho = 0,
  beta = 0.1,
  alpha = 0.05,
  pow = 0.8,
  standardize = TRUE,
  nmax = 1000
)

Arguments

S

The number of datasets to generate for each simulation, default is 20000.

p

The number of predictors in the regression model.

f2s

A vector of effect sizes to be used in the simulations.

n_start

The starting sample size for the simulations.

constrs

A vector of constraint types (number of inequality constraints) to be applied in the simulations.

rho

The correlation coefficient between predictors, default is 0.0.

beta

The regression coefficient for predictors, default is 0.1.

alpha

The significance level used in hypothesis testing, default is 0.05.

pow

The desired power for the statistical test, default is 0.80.

standardize

A logical flag to indicate whether to standardize the predictors in the datasets, default is TRUE.

nmax

The maximum sample size to consider in the simulations.

Details

The function uses a nested approach to first determine minimum sample sizes for different combinations of effect size and constraints, and then calculates Type I error rates. It leverages the lr_pow function for power calculation and uses generate_datasets_reg for dataset generation.

Value

A data frame containing Type I error rates and the minimum sample sizes required for each combination of effect size and constraint type.

References

Vanbrabant, Leonard; Van De Schoot, Rens; Rosseel, Yves (2015). Constrained statistical inference: sample-size tables for ANOVA and regression. Frontiers in Psychology, 5. DOI:10.3389/fpsyg.2014.01565. URL: https://www.frontiersin.org/articles/10.3389/fpsyg.2014.01565

Examples

replext_t2_c1(S = 2, f2s = c(0.35), constrs = c(2))