MjtTest: Modified Jonckheere-Terpstra (MJT) Test

In npordtests: Nonparametric Tests for Equality of Location Against Ordered Alternatives

Description

MjtTest performs MJT test.

Usage

MjtTest(formula, data, alpha = 0.05, na.rm = TRUE, verbose = TRUE)

Arguments

formula	a formula of the form lhs ~ rhs where lhs gives the sample values and rhs the corresponding groups.
data	a data frame containing the variables in the formula formula
alpha	the level of significance to assess the statistical difference. Default is set to alpha = 0.05.
na.rm	a logical value indicating whether NA values should be stripped before the computation proceeds.
verbose	a logical for printing output to R console.

Details

information.gain is

H(Class) + H(Attribute) - H(Class, Attribute)

.

gain.ratio is

(H(Class) + H(Attribute) - H(Class, Attribute)) / H(Attribute)

symmetrical.uncertainty is

2 * (H(Class) + H(Attribute) - H(Class, Attribute)) / (H(Attribute) + H(Class))

Value

A list with class "owt" containing the following components:

statistic	the MJT test statistic.
mean	the mean of the MJT test statistic.
variance	the variance of the MJT test statistic.
Z	the standardized test statistic.
p.value	the p-value of the test.
alpha	the level of significance.
method	the character string "MJT test ".
data	a data frame containing the variables in which NA values (if exist) are removed.
formula	a formula of the form lhs ~ rhs where lhs gives the sample values and rhs the corresponding groups.

Author(s)

Bulent Altunkaynak

References

Jonckheere, A. R. (1954). A Distribution-Free k-Sample Test Against Ordered Alternatives. Biometrika, 41, 133-145.

Neuhauser, M., Liu, P.Y., Hothorn, L.A.(1998). Nonparametric Tests for Trend: Jonckheere's Test, a Modification and a Maximum Test. Biometrical Journal, 40:8, 899-909.

Tryon, V. P., Hettmansperger, T. P. (1973). A class of nonparametric tests for homogeneity against ordered alternatives. Annals of Statistics, 1, 1061-1070.

Examples

library(npordtests)

## Data from Jonckheere (1954)
data(jdata)
MjtTest(Y~X,jdata)

## Data from Lehmann (1975)
data(lehmann)
MjtTest(Values~Group,lehmann)

npordtests documentation built on Oct. 30, 2019, 11:35 a.m.