# Difference between revisions of "RAREMETAL METHOD"

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Shuang Feng (talk | contribs) (→NOTATIONS) |
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===NOTATIONS=== | ===NOTATIONS=== | ||

We denote the following to describe our methods: | We denote the following to describe our methods: | ||

− | <math>\mathbf{ | + | <math>\mathbf{U_{i,k}} </math> is the score statistic for the <math>i^{th} </math> variant from the <math> k^{th} </math> study |

− | <math>\mathbf{ | + | <math>\mathbf{V_{ij,k}} </math> is the covariance of the score statistics between the <math>i^{th} </math> and the <math>j^{th} </math> variant from the <math> k^{th} </math> study |

<math> S </math> is the number of studies | <math> S </math> is the number of studies |

## Revision as of 14:28, 1 April 2014

## Contents

## INTRODUCTION

The key idea behind meta-analysis with RAREMETAL is that various gene-level test statistics can be reconstructed from single variant score statistics and that, when the linkage disequilibrium relationships between variants are known, the distribution of these gene-level statistics can be derived and used to evaluate signifi-cance. Single variant statistics are calculated using the Cochran-Mantel-Haenszel method. The main formulae are tabulated in the following:

## KEY FORMULAE

### NOTATIONS

We denote the following to describe our methods: is the score statistic for the variant from the study

is the covariance of the score statistics between the and the variant from the study

is the number of studies

===SINGLE VARIANT META ANALYSIS===

### BURDEN META ANALYSIS

### VT META ANALYSIS

### SKAT META ANALYSIS

Test | Statistics | Null Distribution | Notation |
---|---|---|---|

Single Variant | |||

un-weighted Burden | |||

Weighted Burden | |||

VT | |||

SKAT |