Title
Transformed goodness-of-fit statistics for a generalized linear model of binary data
Abstract
In a generalized linear model of binary data, we consider models based on a general link function including a logistic regression model and a probit model as special cases. For testing the null hypothesis H"0 that the considered model is correct, we consider a family of @f-divergence goodness-of-fit test statistics C"@f that includes a power divergence family of statistics R^a. We propose a transformed C"@f statistics that improves the speed of convergence to a chi-square limiting distribution and show numerically that the transformed R^a statistic performs well. We also give a real data example of the transformed R^a statistic being more reliable than the original R^a statistic for testing H"0.
Year
DOI
Venue
2014
10.1016/j.jmva.2013.09.014
J. Multivariate Analysis
Keywords
Field
DocType
considered model,binary data,original r,probit model,power divergence family,statistics r,generalized linear model,transformed goodness-of-fit statistic,null hypothesis h,f-divergence goodness-of-fit test statistic,logistic regression model,asymptotic expansion
Econometrics,Statistic,PRESS statistic,Generalized linear array model,Generalized linear model,Binary data,Statistics,Generalized linear mixed model,Goodness of fit,Mathematics,Asymptotic distribution
Journal
Volume
ISSN
Citations 
123,
0047-259X
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Nobuhiro Taneichi111.30
Yuri Sekiya211.30
Jun Toyama313019.87