parmb: Parametric Based Tests for Incomplete Paired Data

In IncomPair: Comparison of Means for the Incomplete Paired Data

Description

The function performs testing the Hypothesis of equality of means for the incomplete pairs setting data. The function uses six test statistics that were proposed for testing the equality of the means of a bivariate normal distribution with unknown common variance and correlation coefficient when observations are missing on both variates. These function includes Lin and Stivers (1974, Ts), Bhoj (1989, pp. 282, Z), Bhoj (1989, pp. 282, Zb), Bhoj (1989, pp. 283, T), Bhoj (1989, pp. 283, Zh) and Bhoj (1989, pp 284, Zls). For more details, information of the functions see Bhoj (1989).

Usage

parmb(xp, yp, xu, yu, r, mu = NULL, method = "Zb",
      alternative = "two.sided", verbose = TRUE)

Arguments

xp, yp	(non-empty) numeric vectors of data values of the the complete pairs
xu	a numeric vector of data on x only
yu	a numeric vector of data on y only
r	a number indicating the correlation between the complete pairs
mu	a number indicating the true value of the mean (or difference in means if you are performing a two sample test)
method	a character string specifying the different type of methods, must be one of "Zb" (default), "Zb","T","Tls" ,"Zls","Zh"
alternative	a character string specifying the alternative hypothesis, must be one of "two.sided" (default), "greater" or "less"
verbose	if TRUE, show the test statistic used, null and alternative hypotheses in addition to the p-value

Value

A S4 object containing the following components:

Title	a character string describing the test statistic used
Nhypothesis	a character string describing the null hypothesis
Ahypothesis	a character string describing the alternative hypothesis
Pval	the p-value for the test

References

1 Bhoj, D. S. (1991). Testing equality of means in the presence of correlation and missing data. Biometrical journal, 33(1), 63-72.

2 Ekbohm, G. (1976). On comparing means in the paired case with incomplete data on both responses. Biometrika 63(2), 299-304.

3 Lin, P. E., & Stivers, L. E. (1974). On difference of means with incomplete data. Biometrika, 61(2), 325-334.

Examples

n=20
n1=15
n2=10
r=0.8
xp=rnorm(n)
yp=r*xp+(1-r)*(rnorm(n))
xu=rnorm(n1)
yu=rnorm(n2)
mu=0
parmb(xp,yp,xu,yu,r,mu,method="Zb",alternative="two.sided")

IncomPair documentation built on March 26, 2020, 6:34 p.m.