testve function

Diagnosis for multivariate stratified Kawaguchi - Koch - Wang method

Diagnostic tool that verifies the normality of the estimates of the probabilities b with the Kawaguchi - Koch - Wang method. The diagnostic method is based on a Monte Carlo method.

testve(n, m, k, nsamp = 100, delta = 0, beta = 0, disc = 0)

Arguments

• n: number of observations in the first group.
• m: number of observations in the second group.
• k: number of strata.
• nsamp: The number of estimates that will be calculated. Must be enough to be sure that the results are interpretable.
• delta: Offset that depends on group.
• beta: Correlation between x and y.
• disc: The Mann Whitney test is designed to handle continuous data, but this method applies to discretized data; disc adjusts the discreteness.

Returns

Nothing is returned. A QQ plot is drawn.

Details

This functions serves as a diagnosis to prove that the Kawaguchi - Koch - Wang method gives Gaussian estimates for b. It generates random data sets, to which the Mann Whitney test gets applied. y is the generated response variable and x the generated covariable related to y through a regression model.

Examples

testve(10,15,3,100,0.4)

References

A. Kawaguchi, G. G. Koch and X. Wang (2012), "Stratified Multivariate Mann-Whitney Estimators for the Comparison of Two Treatments with Randomization Based Covariance Adjustment", Statistics in Biopharmaceutical Research 3 (2) 217-231.

J. E. Kolassa and Y. Seifu (2013), Nonparametric Multivariate Inference on Shift Parameters, Academic Radiology 20 (7), 883-888.