MCT: Multiplication-combination tests for paired data with missing...

In lubnaamro/MissPair: Tests for Matched Pairs Designs with Missing Values

Multiplication-combination tests for paired data with missing values in both arms

Description

The MCT function calculates the multiplication combination tests for testig H0m or H0p hypothesis for matched pairs with missingness in both arms. For testing the Behrens-Fisher problem H0p: p = 1/2, MCT is based upon permutation versions of the Munzel (1999) (paired) and Brunner and Munzel (2002) (unpaired) tests. And, For testing the null hypothesis H0m: mu1 = mu2, MCT is based upon the randomization version of the paired t-test (Konietschke and Pauly, 2014) and Janssen's permutation version for the Welch test (Janssen, 1997) for paired and unpaired data respectively.

Usage

MCT(
  x,
  y,
  hypothesis = c("h0m", "h0p"),
  alternative = c("two.sided", "less", "greater"),
  nperm = 10000,
  alpha = 0.05
)

Arguments

x	a (non-empty) numeric vector of data values representing the first components of the pairs.
y	a (non-empty) numeric vector of data values representing the second components of the pairs.
hypothesis	a character string indicating which hypothesis is to be tested, must be either 'h0m' (default) or 'h0p'.
alternative	a character string specifying the alternative hypothesis, must be one of 'two.sided' (default), 'greater' or 'less'. You can specify just the initial letter.
nperm	The number of permutations used for calculating the permutation tests. The default option is 10,000.
alpha	A number specifying the significance level; the default is 0.05.

Value

A MCT object containing the following components:

Input	The data input of the user.
Descriptive	Some descriptive statistics of the data. Displayed are the number of individuals per variable, the mean, and variance.
MCT	The value of the test staistics of the completely observed and the incompletely observed data and the p-value of the permutation procedure of each test, as well as the overall test decision of the multiplication combination test.

References

Janssen, A. (1997). Studentized permutation tests for non-iid hypotheses and the generalized Behrens-Fisher problem. Statistics & probability letters, 36(1), 9-21.

Munzel, U.(1999). Nonparametric methods for paired samples. Statistica Neerlandica, 53(3), 277-286.

Brunner, E., Munzel, U. (2000). The Nonparametric Behrens-Fisher Problem: Asymptotic Theory and a Small Sample Approximation. Biometrical Journal 42, 17 -25.

Konietschke, F., & Pauly, M. (2014). Bootstrapping and permuting paired t-test type statistics. Statistics and Computing, 24(3), 283-296.

Amro, L., Konietschke, F., and Pauly, M.(2019). Multiplication-combination tests for incomplete paired data. Statistics in Medicince, 38(17), 3243-3255.

lubnaamro/MissPair documentation built on Sept. 30, 2023, 3:47 a.m.