reproducer (version 0.5.2)

RandomizedBlockDesignEffectSizes: RandomizedBlockDesignEffectSizes

Description

This function finds the theoretical effect sizes for a four-group randomized block experiments assuming one of four different underlying distributions specified by the type parameter. The design assumes two blocks each comprising a control and treatment group. If required a fixed Blocking effect is added to the mean for Block 2.

Usage

RandomizedBlockDesignEffectSizes(
  m1,
  std1,
  m2,
  std2,
  m3,
  std3,
  m4,
  std4,
  BE = 0,
  type = "n"
)

Value

dataframe holing the expected unstandardized mean difference effect size, the pooled within group variance, the standardized effect size and the point bi-serial correlation.

Arguments

m1

The theoretical mean for the control group in Block 1

std1

The theoretical variance for the control group in Block 1

m2

The theoretical mean for the treatment group in Block 1

std2

The theoretical variance for the treatment group in Block 1

m3

The theoretical mean for the control group in Block 2

std3

The theoretical variance for the control group in Block 2

m4

The theoretical mean for the treatment group in Block 2

std4

The theoretical variance for the treatment group in Block 2

BE

A fixed block effect to be added to the Block 2 mean values.

type

String identifying the distribution, 'n' for normal, 'ln' for lognormal, 'lap' for Laplace, 'g' for Gamma

Author

Barbara Kitchenham and Lech Madeyski

Examples

RandomizedBlockDesignEffectSizes(m1=0,std1=1,m2=1,std2=1,m3=0,std3=1,m4=1,
  std4=1,BE = 1,type = 'n')
# ES Var StdES      rPBS
#1  1   1     1 0.4472136
RandomizedBlockDesignEffectSizes(m1=0,std1=1,m2=1,std2=1,m3=0,std3=1,m4=1,
  std4=1,BE = 1,type = 'l')
#        ES      Var     StdES      rPBS
#1 5.266886 82.17791 0.5810004 0.2789675
RandomizedBlockDesignEffectSizes(
  m1=0,std1=1,m2=0.266,std2=1,m3=0,std3=1,m4=0.266,std4=1,BE = 0,type = 'l')
#        ES      Var     StdES       rPBS
#1 0.5024232 6.310995 0.1999957 0.09950162