normalScoresTest() R function from [PMCMRplus]

Lu-Smith Normal Scores Test

Performs the Lu-Smith normal score test


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").

Returns

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.

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.

Examples


normalScoresTest(count ~ spray, data = InsectSprays)

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.

normalScoresTest function