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| We denote the following to describe our methods: | | We denote the following to describe our methods: |
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− | <math>U_{i,k} </math> is the score statistic for the <math>i^{th} </math> variant from the <math> k^{th} </math> study | + | <math>U_{i,k} </math> is the score statistic for the <math>i^{th} </math> variant from the <math> k^{th} </math> study |
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| <math>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>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 |
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| <math> S </math> is the number of studies | | <math> S </math> is the number of studies |
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| + | <math>U_{i,k} </math> and <math>V_{ij,k} </math> are described in [[http://genome.sph.umich.edu/wiki/RAREMETALWORKER_method#SINGLE_VARIANT_SCORE_TEST| '''RAREMETALWORKER_method''']] |
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| ===SINGLE VARIANT META ANALYSIS=== | | ===SINGLE VARIANT META ANALYSIS=== |
Revision as of 21:00, 8 April 2014
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
and are described in [RAREMETALWORKER_method]
SINGLE VARIANT META ANALYSIS
BURDEN META ANALYSIS
VT META ANALYSIS
SKAT META ANALYSIS
Formulae for RAREMETAL
Test
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Statistics
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Null Distribution
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Notation
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Single Variant |
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un-weighted Burden |
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Weighted Burden |
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VT |
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SKAT |
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