topic The estimation of overall variance for fixed meta-analysis model via maximum likelihood method in Statistical Procedures https://communities.sas.com/t5/Statistical-Procedures/The-estimation-of-overall-variance-for-fixed-meta-analysis-model/m-p/854265#M42265 <P>Hi, guys</P> <P>&nbsp;</P> <P>I just failed to prove the way to derive the overall variance formula for fixed-effect model of a meta-analysis. By partial derivation the Log(likelihood function) of a fixed-effect model, it is easy to derive the formula for estimating the overall mean. However, I don't understand how the formula for estimating the overall variance comes from. Your help would be much appreciated. Thanks.</P> <P>&nbsp;</P> <P>Tom</P> <P>&nbsp;</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="TomHsiung_0-1674021716939.png" style="width: 400px;"><img src="https://communities.sas.com/t5/image/serverpage/image-id/79477i199C0B2E37B529E3/image-size/medium?v=v2&amp;px=400" role="button" title="TomHsiung_0-1674021716939.png" alt="TomHsiung_0-1674021716939.png" /></span></P> <P>&nbsp;</P> Wed, 18 Jan 2023 06:02:48 GMT TomHsiung 2023-01-18T06:02:48Z The estimation of overall variance for fixed meta-analysis model via maximum likelihood method https://communities.sas.com/t5/Statistical-Procedures/The-estimation-of-overall-variance-for-fixed-meta-analysis-model/m-p/854265#M42265 <P>Hi, guys</P> <P>&nbsp;</P> <P>I just failed to prove the way to derive the overall variance formula for fixed-effect model of a meta-analysis. By partial derivation the Log(likelihood function) of a fixed-effect model, it is easy to derive the formula for estimating the overall mean. However, I don't understand how the formula for estimating the overall variance comes from. Your help would be much appreciated. Thanks.</P> <P>&nbsp;</P> <P>Tom</P> <P>&nbsp;</P> <P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="TomHsiung_0-1674021716939.png" style="width: 400px;"><img src="https://communities.sas.com/t5/image/serverpage/image-id/79477i199C0B2E37B529E3/image-size/medium?v=v2&amp;px=400" role="button" title="TomHsiung_0-1674021716939.png" alt="TomHsiung_0-1674021716939.png" /></span></P> <P>&nbsp;</P> Wed, 18 Jan 2023 06:02:48 GMT https://communities.sas.com/t5/Statistical-Procedures/The-estimation-of-overall-variance-for-fixed-meta-analysis-model/m-p/854265#M42265 TomHsiung 2023-01-18T06:02:48Z