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analyses:raudenbush2009 [2019/05/15 19:14] – external edit 127.0.0.1analyses:raudenbush2009 [2020/06/26 06:50] Wolfgang Viechtbauer
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 ==== Credibility/Prediction Interval ==== ==== Credibility/Prediction Interval ====
  
-Raudenbush (2009) also reports the results from a 95% credibility/prediction interval (or "plausible value interval"), which can be obtained with $\hat{\mu} \pm 1.96 \hat{\tau}$. Such an interval can be obtained with:+Raudenbush (2009) also reports the results from a 95% prediction interval (or "plausible value interval"), which can be obtained with $\hat{\mu} \pm 1.96 \hat{\tau}$. Such an interval can be obtained with:
 <code rsplus> <code rsplus>
 predict(res.RE) predict(res.RE)
 </code> </code>
 <code output> <code output>
-  pred    se  ci.lb ci.ub  cr.lb cr.ub+  pred    se  ci.lb ci.ub  pi.lb pi.ub
  0.089 0.056 -0.020 0.199 -0.245 0.423  0.089 0.056 -0.020 0.199 -0.245 0.423
 </code> </code>
-but note that the interval ($-0.245$ to $0.423$) is a bit wider than the one reported in the book chapter (p. 302). That is because the credibility interval is computed with $\hat{\mu} \pm 1.96 \sqrt{\hat{\tau}^2 + SE[\hat{\mu}]^2}$ in the metafor package (see [[:faq#for_random-effects_models_fitt|here]] for more details).+but note that the interval ($-0.245$ to $0.423$) is a bit wider than the one reported in the book chapter (p. 302). That is because the prediction interval is computed with $\hat{\mu} \pm 1.96 \sqrt{\hat{\tau}^2 + SE[\hat{\mu}]^2}$ in the metafor package (see [[:faq#for_random-effects_models_fitt|here]] for more details).
  
 ==== Measures of Heterogeneity ==== ==== Measures of Heterogeneity ====
analyses/raudenbush2009.txt · Last modified: 2022/08/03 17:09 by Wolfgang Viechtbauer