Changes

Single variant meta-analysis score statistic can be reconstructed from score statistics and their variances generate by each study, assuming that samples are unrelated across studies. Define meta-analysis score statistics as

Single variant meta-analysis score statistic can be reconstructed from score statistics and their variances generate by each study, assuming that samples are unrelated across studies. Define meta-analysis score statistics as

<math>U_{meta,i}=\sum_{k=1}^S {U_{i,k}}</math>

<math>U_{meta_i}=\sum_{k=1}^S {U_{i,k}}</math>

and its variance

and its variance

<math>V_{meta,i}=\sum_{k=1}^S{V_{ii,k}}</math>

<math>V_{meta_i}=\sum_{k=1}^S{V_{ii,k}}</math>

Then the score test statistics for the <math>i^{th}</math> variant <math>T_{meta,i}</math> asymptotically follows standard normal distribution  

Then the score test statistics for the <math>i^{th}</math> variant <math>T_{meta_i}</math> asymptotically follows standard normal distribution  

<math>T_{meta,i}=U_{meta,i}\bigg/\sqrt{V_{meta,i}}=\sum_{k=1}^S {U_{i,k}}\bigg/\sqrt{\sum_{k=1}^S{V_{ii,k}}} \sim\mathbf{N}(0,1)</math>

<math>T_{meta_i}=U_{meta_i}\bigg/\sqrt{V_{meta_i}}=\sum_{k=1}^S {U_{i,k}}\bigg/\sqrt{\sum_{k=1}^S{V_{ii,k}}} \sim\mathbf{N}(0,1)</math>

===BURDEN META ANALYSIS===

===BURDEN META ANALYSIS===