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Testing Collapsibility in Contingency Tables

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TLDR
On etudie en particulier le cas important des tables 2×2×K d'ou il decoule les extensions aux tables plus grandes as mentioned in this paper, a.k.a.
Abstract
On etudie en particulier le cas important des tables 2×2×K d'ou il decoule les extensions aux tables plus grandes

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Logistic Regression: Why We Cannot Do What We Think We Can Do, and What We Can Do About It

TL;DR: This paper showed that logistic regression estimates do not behave like linear regression estimates in one important respect: they are affected by omitted variables, even when these variables are unrelated to the independent variables in the model.
Journal ArticleDOI

Modeling and variable selection in epidemiologic analysis.

TL;DR: An overview of problems in multivariate modeling of epidemiologic data is provided, and some proposed solutions are examined, including model and variable forms should be selected based on regression diagnostic procedures, in addition to goodness-of-fit tests.
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Statistical Methods for Comparing Regression Coefficients Between Models

TL;DR: In this paper, the authors compare regression coefficients between models in the setting where one of the models is nested in the other, and propose fundamental change in strategies for model comparison in social research as well as modifications in the presentation of results from regression or regression-type models.
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Confounding and Collapsibility in Causal Inference

TL;DR: The authors provide an overview of confounding and related concepts based on a counterfactual model for causation, and special attention is given to definitions of confounding, problems in control of confound- ing, the relation of confounding to exchangeability and collapsibility, and the importance of distinguishing confounding from noncollapsibility.
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A review of instrumental variable estimators for Mendelian randomization

TL;DR: Settings particularly relevant to Mendelian randomization are prioritized in the paper, notably the scenario of a continuous exposure and a continuous or binary outcome.
References
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Book

Discrete multivariate analysis: theory and practice

TL;DR: Discrete Multivariate Analysis is a comprehensive text and general reference on the analysis of discrete multivariate data, particularly in the form of multidimensional tables, and contains a wealth of material on important topics.
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The Role of Exchangeability in Inference

TL;DR: In this article, the authors propose three basic problems of statistical inference: (1) that inference is a procedure whereby one passes from a population (or sample) to a new individual; (2) this connection can be established using de Finetti's idea of exchangeability or Fisher's concept of a subpopulation; and (3) in making the connection use must be made of the appropriate probability.
Journal ArticleDOI

Generalized Inverses, Wald's Method, and the Construction of Chi-Squared Tests of Fit

TL;DR: In this article, the generalized Wald's method is applied to give a quite general solution to the problem of constructing chi-squared type statistics for testing fit to a parametric family when unknown parameters are estimated in various ways.