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Related Concept Videos

McNemar's Test01:23

McNemar's Test

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McNemar's Test is a nonparametric statistical test used to determine if there is a significant difference in proportions between two related groups when the outcome is binary (e.g., yes/no, success/failure). It is beneficial when we have paired data, such as pre-test/post-test designs, where the same subjects are measured under two different conditions. The test is named after the statistician Quinn McNemar, who introduced it in 1947. It is commonly used in situations where subjects are...
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The sign test for matched pairs offers a robust method for comparing two paired samples, often for the effects of an intervention in one of them. This method is very useful in situations where the underlying distribution of the data is unknown. The test compares two related samples—often pre- and post-treatment measurements on the same subjects—to determine if there are significant differences in their median values.
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Bioequivalence experimental study designs play a pivotal role in testing the effectiveness of various treatments. Key among these are the repeated measures, cross-over, carry-over, and Latin square designs. In the repeated measures design, each subject receives all treatments, allowing for temporal comparisons. This type of design is useful in reducing variability but requires careful planning to avoid bias.The cross-over design, an economical method, involves sequential administration of...
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The Wilcoxon signed-rank test for matched pairs evaluates the null hypothesis by combining the ranks of differences with their signs. It essentially tests whether the median of the differences in a population of matched pairs is zero. Since the test incorporates more information than the sign test, it generally yields more trustable conclusions. This test also does not require the data to follow a normal distribution, but two conditions must be met for it to be applicable: (1) the data must...
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A simple method for analyzing matched designs with double controls: McNemar's test can be extended.

Donald A Redelmeier1, Robert J Tibshirani2

  • 1Department of Medicine, University of Toronto, Toronto, Ontario, Canada; Evaluative Clinical Sciences Program, Sunnybrook Research Institute, Toronto, Ontario, Canada; Institute for Clinical Evaluative Sciences, Toronto, Ontario, Canada; Division of General Internal Medicine, Sunnybrook Health Sciences Centre, G-151, 2075 Bayview Avenue, Toronto, Ontario M4N 3M5, Canada; Center for Leading Injury Prevention Practice Education & Research, Toronto, Ontario, Canada.

Journal of Clinical Epidemiology
|August 28, 2016
PubMed
Summary

This study introduces a novel analytic method for matched studies using double controls, extending McNemar's test for one-to-two matching. The new approach is feasible, simple, and efficient for analyzing binary outcomes in such designs.

Keywords:
Case-only designCrossover studyMatched pairsRisk perceptionSelf-matchingTraffic accident

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Area of Science:

  • Biostatistics
  • Epidemiology
  • Statistical Methods

Background:

  • Traditional matched study analyses often use one control per case.
  • Extending these methods to accommodate multiple controls per case is crucial for robust statistical inference.
  • Existing methods may not be optimal for one-to-two matched designs.

Purpose of the Study:

  • To introduce a new analytic approach for matched studies with double controls (one case to two controls).
  • To extend McNemar's test for one-to-two matching for binary predictors and outcomes.
  • To offer a simple, efficient, and visually verifiable analytical tool.

Main Methods:

  • Review of McNemar's test for matched data.
  • Demonstration of the Mantel-Haenszel approach for integrating estimates.
  • Introduction of a novel method with visual display and computational simplicity, compared against conditional logistic regression.

Main Results:

  • The new approach was illustrated using real-world data on traffic crashes and weather.
  • Results closely align with conditional logistic regression.
  • The method is simple enough for handheld calculator computation and validated through simulations.

Conclusions:

  • The developed approach offers a feasible, simple, and efficient method for analyzing matched designs with double controls.
  • This extends existing statistical capabilities for epidemiological and biostatistical research.
  • The method provides a practical alternative for analyzing complex matched data.