BIRA4_1r: Model 2.5: MDES Calculator for 4-Level Random Effects Blocked...
In alishinski/CRTpower: Power Analysis for Cluster Randomized trials

MDES for 4-Level Random Effects Blocked Individual Random Assignment Design

1 2	BIRA4_1r(R2_1, R2_2T, R2_3T, R2_4T, P, g_4, n, J, K, L, rho_4, rho_3, rho_2, omega_2, omega_3, omega_4, alpha = 0.05, power = 0.8, tails = 2)

`R2_1`	Proportion of variance in level 1 outcome explained by level 1 covariates
`R2_2T`	Proportion of between block variance in treatment effect explained by Level 2 covariates
`R2_3T`	Proportion of variance in treatment effect explained by Block and Level 3 covariates
`R2_4T`	Proportion of variance in treatment effect explained by Block and Level 4 covariates
`P`	Proportion of level 1 units randomized to the treatment
`g_4`	Number of level 4 covariates
`n`	Mean # of level 1 units per level 2 unit
`J`	Mean # of level 2 units per level 3 unit
`K`	Number of level 3 units per level 4 unit
`L`	Number of level 4 units
`rho_4`	proportion of variance in outcome between level 4 units
`rho_3`	proportion of variance in outcome between level 3 units
`rho_2`	proportion of variance in outcome between level 2 units
`omega_2`	Level 2 treatment effect heterogeneity: variance in treatment effect across Level 2 units, standardized by the Level-2 outcome variation
`omega_3`	Level 3 treatment effect heterogeneity: variance in treatment effect across Level 3 units, standardized by the Level-3 outcome variation
`omega_4`	Level 4 treatment effect heterogeneity: variance in treatment effect across Level 3 units, standardized by the Level-4 outcome variation
`alpha`	Probability of a type I error
`power`	Statistical power (1 - probability of type II error)
`tails`	One or two tailed test