
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.
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
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
| 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). | 3 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
