getTheoreticalEffectSizeVariancesABBA {reproducer}

getTheoreticalEffectSizeVariancesABBA

Description

Function provides the theoretical value of the t-statistic, variance of t, and variance of the effect sizes based on the parameters built into crossover model data simulated by the getSimilationData() function. Function is used in a paper 'Effect Sizes and their Variance for AB/BA Crossover Design Studies' by Lech Madeyski and Barbara Kitchenham.

Usage

getTheoreticalEffectSizeVariancesABBA(
  theoreticalvarW,
  theoreticalTechniqueEffect,
  theoreticalrho,
  N1,
  N2
)

Arguments

theoreticalvarW

- The within subject variance used to construct the simulation, i.e., the built-in Variance - the built-in Covariance

theoreticalTechniqueEffect

- The technique effect built into the crossover model data

theoreticalrho

- The between subject correlation built into the crossover model simulation data

N1

- The number of subjects in sequence group 1 in the crossover model simulation

N2

- The number of subjects in sequence group 2 in the crossover model simulation

Value

data frame incl. calculated: theoreticalt - the theoretical value of the t-statistic theoreticalvart - variance of t theoreticalvardIG - variance of the effect size dIG based on the parameters built into crossover model data simulated by the getSimilationData function theoreticalvardRM - variance of the effect size dRM based on the parameters built into crossover model data simulated by the getSimilationData function

Author(s)

Lech Madeyski and Barbara Kitchenham

Examples

# Generates data used in Table 15 of the paper
theoreticalEffectSizeVariances <- getTheoreticalEffectSizeVariancesABBA(6.25, -10, 0.75, 15, 15)