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Fixed-Effect Versus Random-Effects Models

CHAPTER 13 Fixed-Effect Versus random -EffectsModelsIntroductionDefiniti on of a summary effectEstimating the summary effectExtreme effect size in a large study or a small studyConfidence intervalThe null hypothesisWhich model should we use?Model shouldnotbe based on the test for heterogeneityConcluding remarksINTRODUCTIONIn Chapter 11 and Chapter 12 we introduced the Fixed-Effect and Random-Effects Models . Here, we highlight the conceptual and practical differencesbetween the forest plots in Figures and They include the same sixstudies, but the first uses a Fixed-Effect analysis and the second a random -effectsanalysis. These plots provide a context for the discussion that OF A SUMMARY EFFECTBoth plots show a summary effect on the bottom line, but the meaning of thissummary effect is different in the two Models . In the Fixed-Effect analysis weassumethatthetrueeffectsizeisthesame in all studies, and the summaryeffect is our estimate of this common effect size. In the Random-Effects analysiswe assume that the true effect size varies from one study to the next, and thatthe studies in our analysis represent arandom sample of effect sizes that couldIntroduction to Meta-Analysis.

In Chapter 11 and Chapter 12 we introduced the fixed-effect and random-effects models. Here, we highlight the conceptual and practical differences between them. Consider the forest plots in Figures 13.1 and 13.2. They include the same six studies, but the first uses a fixed-effect analysis and the second a random-effects analysis.

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