A robust goodness‐of‐fit test statistic with application to ordinal regression models
- 30 January 1994
- journal article
- research article
- Published by Wiley in Statistics in Medicine
- Vol. 13 (2) , 143-152
- https://doi.org/10.1002/sim.4780130205
Abstract
We propose a goodness-of-fit test statistic for linear regression with heterogeneous variance, which is asymptotically chi-square if the given model is correct. The test statistic is computed as a quadratic form of observed minus predicted responses. We apply the method to a linear regression for an ordinal categorical response, the wheezing status of a child (no wheeze, wheeze with cold, wheeze apart from cold) as a function of maternal smoking and city of residence.Keywords
This publication has 10 references indexed in Scilit:
- Lack-of-Fit Tests Based on Near or Exact ReplicatesThe Annals of Statistics, 1989
- Jackknife, Bootstrap and Other Resampling Methods in Regression AnalysisThe Annals of Statistics, 1986
- Some heteroskedasticity-consistent covariance matrix estimators with improved finite sample propertiesJournal of Econometrics, 1985
- A Review of Some Statistical Methods for Covariance Analysis of Categorical DataPublished by JSTOR ,1982
- Public Program AnalysisPublished by Springer Nature ,1981
- A note on a goodness-of-fit test for the logistic regression modelBiometrika, 1980
- Goodness of fit tests for the multiple logistic regression modelCommunications in Statistics - Theory and Methods, 1980
- Jackknifing in Unbalanced SituationsTechnometrics, 1977
- Estimating Heteroscedastic Variances in Linear ModelsJournal of the American Statistical Association, 1975