Abstract:
:We present graphical and numerical methods for assessing the adequacy of the logistic regression model for stratified case-control data. The proposed methods are derived from the cumulative sum of residuals over the covariate or linear predictor. Under the assumed model, the cumulative residual process converges weakly to a zero-mean Gaussian process whose distribution can be approximated via Monte Carlo simulation. The observed cumulative residual pattern can then be compared both visually and analytically to a number of simulated realizations from the approximate null distribution. These comparisons enable one to examine the functional form of each covariate, the logistic link function as well as the overall model adequacy. Simulation studies demonstrate that the proposed methods perform well in practical settings. Illustration with an oesophageal cancer study is provided.
journal_name
Stat Medjournal_title
Statistics in medicineauthors
Arbogast PG,Lin DYdoi
10.1002/sim.1932subject
Has Abstractpub_date
2005-01-30 00:00:00pages
229-47issue
2eissn
0277-6715issn
1097-0258journal_volume
24pub_type
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