Exact Anytime-valid Confidence Intervals for Contingency Tables and Beyond
Rosanne Turner, Peter Gr\"unwald
TL;DR
This paper introduces extended E-variables for sequential testing and confidence sequences, enabling valid inference on contingency tables and other hypotheses with optional stopping.
Contribution
It develops a general framework for E-variables applicable to various null hypotheses and provides practical implementations for common risk measures.
Findings
Validated methods for risk difference, relative risk, and odds-ratios
Extended E-variables to broader null hypotheses
Ensured type-I error control with optional stopping
Abstract
E-variables are tools for retaining type-I error guarantee with optional stopping. We extend E-variables for sequential two-sample tests to general null hypotheses and anytime-valid confidence sequences. We provide implementations for estimating risk difference, relative risk and odds-ratios in contingency tables.
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Taxonomy
TopicsAdvanced Causal Inference Techniques · Statistical Methods in Clinical Trials · Bayesian Modeling and Causal Inference