Performs the Lu-Smith normal score test
normalScoresTest(x, ...)# S3 method for default
normalScoresTest(x, g, ...)
# S3 method for formula
normalScoresTest(formula, data, subset, na.action, ...)
a numeric vector of data values, or a list of numeric data vectors.
further arguments to be passed to or from methods.
a vector or factor object giving the group for the
corresponding elements of "x".
Ignored with a warning if "x" is a list.
a formula of the form response ~ group where
response gives the data values and group a vector or
factor of the corresponding groups.
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).
an optional vector specifying a subset of observations to be used.
a function which indicates what should happen when
the data contain NAs. Defaults to getOption("na.action").
A list with class "htest" containing the following components:
a character string indicating what type of test was performed.
a character string giving the name(s) of the data.
the estimated quantile of the test statistic.
the p-value for the test.
the parameters of the test statistic, if any.
a character string describing the alternative hypothesis.
the estimates, if any.
the estimate under the null hypothesis, if any.
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.
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.
# NOT RUN {
normalScoresTest(count ~ spray, data = InsectSprays)
# }
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