hoslem.test: Hosmer-Lemeshow Goodness of Fit (GOF) Test

In ResourceSelection: Resource Selection (Probability) Functions for Use-Availability Data

Description

Hosmer-Lemeshow Goodness of Fit (GOF) Test.

Usage

hoslem.test(x, y, g = 10)

Arguments

x	a numeric vector of observations, binary (0/1).
y	expected values.
g	number of bins to use to calculate quantiles.

Details

The Hosmer-Lemeshow test is a statistical test for goodness of fit for logistic regression models.

Value

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

statistic	the value of the chi-squared test statistic, (sum((observed - expected)^2 / expected)).
parameter	the degrees of freedom of the approximate chi-squared distribution of the test statistic (g - 2).
p.value	the p-value for the test.
method	a character string indicating the type of test performed.
data.name	a character string giving the name(s) of the data.
observed	the observed frequencies in a g-by-2 contingency table.
expected	the expected frequencies in a g-by-2 contingency table.

Author(s)

Peter Solymos by adapting code pieces from R help mailing list

References

Hosmer D W, Lemeshow S 2000. Applied Logistic Regression. New York, USA: John Wiley and Sons.

Examples

set.seed(123)
n <- 500
x <- rnorm(n)
y <- rbinom(n, 1, plogis(0.1 + 0.5*x))
m <- glm(y ~ x, family=binomial)
hoslem.test(m$y, fitted(m))

Example output

ResourceSelection 0.3-2 	 2017-02-28

	Hosmer and Lemeshow goodness of fit (GOF) test

data:  m$y, fitted(m)
X-squared = 4.5227, df = 8, p-value = 0.8072

ResourceSelection documentation built on May 2, 2019, 6:29 p.m.