scaleTest {fBasics}R Documentation

Two Sample Scale Tests

Description

Tests if two series differ in their distributional scale parameter.

Usage

scaleTest(x, y, method = c("ansari", "mood"), 
    title = NULL, description = NULL)

Arguments

x, y numeric vectors of data values.
method a character string naming which test should be applied.
title an optional title string, if not specified the inputs data name is deparsed.
description optional description string, or a vector of character strings.

Details

The method="ansari" performs the Ansari–Bradley two–sample test for a difference in scale parameters. The test returns for any sizes of the series x and y the exact p value together with its asymptotic limit.

The method="mood", is another test which performs a two–sample test for a difference in scale parameters. The underlying model is that the two samples are drawn from f(x-l) and f((x-l)/s)/s, respectively, where l is a common location parameter and s is a scale parameter. The null hypothesis is s=1.

Value

In contrast to R's output report from S3 objects of class "htest" a different output report is produced. The classical tests presented here return an S4 object of class "fHTEST". The object contains the following slots:

@call the function call.
@data the data as specified by the input argument(s).
@test a list whose elements contail the results from the statistical test. The information provided is similar to a list object of class "htest".
@title a character string with the name of the test. This can be overwritten specifying a user defined input argument.
@description a character string with an optional user defined description. By default just the current date when the test was applied will be returned.
statistic the value(s) of the test statistic.
p.value the p-value(s) of the test.
parameters a numeric value or vector of parameters.
estimate a numeric value or vector of sample estimates.
conf.int a numeric two row vector or matrix of 95
method a character string indicating what type of test was performed.
data.name a character string giving the name(s) of the data.

Note

Some of the test implementations are selected from R's ctest package.

Author(s)

R-core team for hypothesis tests implemented from R's package ctest.

References

Conover, W. J. (1971); Practical nonparametric statistics, New York: John Wiley & Sons.

Lehmann E.L. (1986); Testing Statistical Hypotheses, John Wiley and Sons, New York.

Moore, D.S. (1986); Tests of the chi-squared type, In: D'Agostino, R.B. and Stephens, M.A., eds., Goodness-of-Fit Techniques, Marcel Dekker, New York.

Examples

## rnorm - 
   # Generate Series:
   x = rnorm(50)
   y = rnorm(50)
   
## scaleTest -
   scaleTest(x, y, "ansari")
   scaleTest(x, y, "mood")

[Package fBasics version 2100.78 Index]