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Statistics in Medicine
Article . 2013 . Peer-reviewed
License: Wiley Online Library User Agreement
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zbMATH Open
Article . 2014
Data sources: zbMATH Open
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Propensity score-based diagnostics for categorical response regression models

Authors: Boonstra, Philip S.; Bondarenko, Irina; Park, Sung Kyun; Vokonas, Pantel S.; Mukherjee, Bhramar;

Propensity score-based diagnostics for categorical response regression models

Abstract

For binary or categorical response models, most goodness-of-fit statistics are based on the notion of partitioning the subjects into groups or regions and comparing the observed and predicted responses in these regions by a suitable chi-squared distribution. Existing strategies create this partition based on the predicted response probabilities, or propensity scores, from the fitted model. In this paper, we follow a retrospective approach, borrowing the notion of balancing scores used in causal inference to inspect the conditional distribution of the predictors, given the propensity scores, in each category of the response to assess model adequacy. We can use this diagnostic under both prospective and retrospective sampling designs, and it may ascertain general forms of misspecification. We first present simple graphical and numerical summaries that can be used in a binary logistic model. We then generalize the tools to propose model diagnostics for the proportional odds model. We illustrate the methods with simulation studies and two data examples: (i) a case-control study of the association between cumulative lead exposure and Parkinson's disease in the Boston, Massachusetts, area and (ii) and a cohort study of biomarkers possibly associated with diabetes, from the VA Normative Aging Study.

Country
United States
Keywords

Blood Glucose, Male, Medicine (General), Aging, score test, Science, Score Test, Social Sciences, Residual Diagnostic, proportional odds, Applications of statistics to biology and medical sciences; meta analysis, Multinomial Logistic, Leukocyte Count, residual diagnostic, Health Sciences, Proportional Odds, Humans, Computer Simulation, Prospective Studies, Propensity Score, Aged, Retrospective Studies, Aged, 80 and over, Tibia, Parkinson Disease, Middle Aged, balancing score, Statistics and Numeric Data, multinomial logistic, Causality, C-Reactive Protein, Logistic Models, Lead, Female, Public Health, Balancing Score, Boston

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
bronze