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

 `1` ```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

 ```1 2 3 4 5 6``` ```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 29, 2017, 9:50 p.m.