getTheoreticalEffectSizeVariancesABBA function

getTheoreticalEffectSizeVariancesABBA

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.

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

Returns

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

Examples

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

Author(s)

Lech Madeyski and Barbara Kitchenham