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$y, fitted(m))
Results
R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)
R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.
R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.
Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.
> library(ResourceSelection)
ResourceSelection 0.2-6 2016-02-15
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/ResourceSelection/hoslem.test.Rd_%03d_medium.png", width=480, height=480)
> ### Name: hoslem.test
> ### Title: Hosmer-Lemeshow Goodness of Fit (GOF) Test
> ### Aliases: hoslem.test
> ### Keywords: htest
>
> ### ** Examples
>
> set.seed(123)
> n <- 500
> x <- rnorm(n)
> y <- rbinom(n, 1, plogis(0.1 + 0.5*x))
> m <- glm(y ~ x, family=binomial)
> hoslem.test(m$y, fitted(m))
Hosmer and Lemeshow goodness of fit (GOF) test
data: m$y, fitted(m)
X-squared = 4.5227, df = 8, p-value = 0.8072
>
>
>
>
>
> dev.off()
null device
1
>