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saemix (version 2.4)

testnpde: Tests for normalised prediction distribution errors

Description

Performs tests for the normalised prediction distribution errors returned by npde

Usage

testnpde(npde)

Arguments

npde

the vector of prediction distribution errors

Value

a list containing 4 components:

Wilcoxon test of mean=0

compares the mean of the npde to 0 using a Wilcoxon test

variance test

compares the variance of the npde to 1 using a Fisher test

SW test of normality

compares the npde to the normal distribution using a Shapiro-Wilks test

global test

p-value for the global test (combination of the mean, variance and distribution tests with a Bonferroni correction)

The p-values are adjusted using a Bonferroni correction: the raw p-values of the 3 individual tests are multiplied by 3, and the p-value for the global test is equal to the minimum of the adjusted p-values.

Details

Given a vector of normalised prediction distribution errors (npde), this function compares the npde to the standardised normal distribution N(0,1) using a Wilcoxon test of the mean, a Fisher test of the variance, and a Shapiro-Wilks test for normality. A global test is also reported.

The helper functions kurtosis and skewness are called to compute the kurtosis and skewness of the distribution of the npde.

References

K. Brendel, E. Comets, C. Laffont, C. Laveille, and F. Mentr\'e. Metrics for external model evaluation with an application to the population pharmacokinetics of gliclazide. Pharmaceutical Research, 23:2036--49, 2006.

See Also

saemix, saemix.plot.npde