title: A robust goodness-of-fit test statistic with application to ordinal regression models.
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.
authors.affiliation: Department of Biostatistics, Harvard School of Public Health, Boston, MA 02115.
authors.forename: S R
authors.initials: SR
authors.lastname: Lipsitz
authors.forename: J F
authors.initials: JF
authors.lastname: Buoncristiani
mesh_terms: D002648:Child; D006801:Humans; D016018:Least-Squares Analysis; D016014:Linear Models; D015233:Models, Statistical; D012044:Regression Analysis; D012135:Respiratory Sounds / Q000209:etiology; D014028:Tobacco Smoke Pollution / Q000009:adverse effects
chemical_list: D014028:Tobacco Smoke Pollution