Abstract/Details

Goodness -of -fit in hierarchical logistic regression models


2005 2005

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Abstract (summary)

Hierarchical logistic regression models have gained popularity in recent years as algorithms and computer software for fitting them improved. Little research exists to provide measures for assessing model fit in this area.

We extend goodness-of-fit measures used in the standard logistic setting to the hierarchical case. Using simulation studies we examine the performance of unweighted sums of squares, Pearson residual and Hosmer-Lemeshow statistics at various levels of the hierarchical model. Our results suggest such statistics do not offer reasonable performance in the hierarchical logistic model in terms of Type I error rates.

We also develop Kernel smoothed versions of the statistics using level one residuals and a modified unweighted sum of squares statistic based on residuals at higher levels. Performance of these statistics, using Type I error rates, is satisfactory. We also describe power studies suggesting that these statistics have limited power in certain hierarchical settings.

Finally, we discuss limitations of this work and possible future research.

Indexing (details)


Subject
Statistics
Classification
0463: Statistics
Identifier / keyword
Pure sciences; Goodness-of-fit; Hierarchical regression; Logistic regression
Title
Goodness -of -fit in hierarchical logistic regression models
Author
Sturdivant, Rodney X.
Number of pages
223
Publication year
2005
Degree date
2005
School code
0118
Source
DAI-B 66/02, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780496976997, 0496976990
Advisor
Hosmer, David W., Jr.
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3163711
ProQuest document ID
304993728
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304993728
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