Type of Document	Dissertation
Author	Wu, Sutan
Author's Email Address	titiwu@gmail.com
URN	etd-10272010-194400
Title	Goodness-of-fit Tests for Logistic Regression
Degree	Doctor of Philosophy
Department	Statistics, Department of
Advisory Committee	Advisor Name Title Dan McGee Committee Chair Jinfeng Zhang Committee Co-Chair Debajyoti Sinha Committee Member Myra M. Hurt University Representative
Keywords	Generalized Linear Model Stacked Logistic Regression Goodness-of-fit Tests Logistic Regression
Date of Defense	2010-08-19
Availability	unrestricted
Abstract The generalized linear model and particularly the logistic model are widely used in public health, medicine, and epidemiology. Goodness-of-fit tests for these models are popularly used to describe how well a proposed model fits a set of observations. These different goodness-of-fit tests all have individual advantages and disadvantages. In this thesis, we mainly consider the performance of the “Hosmer-Lemeshow” test, the Pearson’s chi-square test, the unweighted sum of squares test and the cumulative residual test. We compare their performance in a series of empirical studies as well as particular simulation scenarios. We conclude that the unweighted sum of squares test and the cumulative sums of residuals test give better overall performance than the other two. We also conclude that the commonly suggested practice of assuming that a p-value less than 0.15 is an indication of lack of fit at the initial steps of model diagnostics should be adopted. Additionally, D’Agostino et al. presented the relationship of the stacked logistic regression and the Cox regression model in the Framingham Heart Study. So in our future study, we will examine the possibility and feasibility of the adaption these goodness-of-fit tests to the Cox proportional hazards model using the stacked logistic regression.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    Wu_S_Dissertation_2010.pdf 729.89 Kb 00:03:22 00:01:44 00:01:31 00:00:45 00:00:03