normalScoresTest {PMCMRplus}

Lu-Smith Normal Scores Test

Description

Performs the Lu-Smith normal score test

Usage

normalScoresTest(x, ...)

## Default S3 method:
normalScoresTest(x, g, ...)

## S3 method for class 'formula'
normalScoresTest(formula, data, subset, na.action, ...)

Arguments

x

a numeric vector of data values, or a list of numeric data vectors.

...

further arguments to be passed to or from methods.

g

a vector or factor object giving the group for the corresponding elements of "x". Ignored with a warning if "x" is a list.

formula

a formula of the form response ~ group where response gives the data values and group a vector or factor of the corresponding groups.

data

an optional matrix or data frame (or similar: see model.frame) containing the variables in the formula formula. By default the variables are taken from environment(formula).

subset

an optional vector specifying a subset of observations to be used.

na.action

a function which indicates what should happen when the data contain NAs. Defaults to getOption("na.action").

Details

For one-factorial designs with non-normally distributed residuals the Lu-Smith normal score test can be performed to test the H_0: F_1(x) = F_2(x) = \ldots = F_k(x) against the H_\mathrm{A}: F_i (x) \ne F_j(x) ~ (i \ne j) with at least one strict inequality. This function is basically a wrapper function to pNormScore of the package SuppDists.

Value

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

method

a character string indicating what type of test was performed.

data.name

a character string giving the name(s) of the data.

statistic

the estimated quantile of the test statistic.

p.value

the p-value for the test.

parameter

the parameters of the test statistic, if any.

alternative

a character string describing the alternative hypothesis.

estimates

the estimates, if any.

null.value

the estimate under the null hypothesis, if any.

References

Lu, H., Smith, P. (1979) Distribution of normal scores statistic for nonparametric one-way analysis of variance. Journal of the American Statistical Association 74, 715–722.

See Also

vanWaerdenTest, kruskalTest, pNormScore

Examples

normalScoresTest(count ~ spray, data = InsectSprays)