analytic_locFDR_BF_cor {CPBayes}

Analytic calculation of the local FDR & Bayes factor for correlated summary statistics.

Description

Run the analytic_locFDR_BF_cor function to analytically compute the local FDR & Bayes factor (BF) that quantifies the evidence of aggregate-level pleiotropic association for correlated summary statistics. Here a fixed value of slab variance is considred instead of a range of it in cpbayes_cor.

Usage

analytic_locFDR_BF_cor(BetaHat, SE, Corln, SpikeVar = 1e-04, SlabVar = 0.8)

Arguments

BetaHat

A numeric vector of length K where K is the number of phenotypes. It contains the beta-hat values across studies/traits. No default.

SE

A numeric vector with the same dimension as BetaHat providing the standard errors corresponding to BetaHat. Every element of SE must be positive. No default.

Corln

A numeric square matrix of order K by K providing the correlation matrix of BetaHat. The number of rows & columns of Corln must be the same as the length of BetaHat. No default is specified. See estimate_corln.

SpikeVar

Variance of spike (normal distribution with small variance) representing the null effect distribution. Default is 10^(-4).

SlabVar

Variance of slab normal distribution representing the non-null effect distribution. Default is 0.8.

Value

The output produced by the function is a list which consists of the local FDR and log10(Bayes factor).

locFDR

It provides the analytically computed local false discovery rate (posterior probability of null association) under CPBayes model (a Bayesian analog of the p-value) which is a measure of the evidence of the aggregate-level pleiotropic association. Bayes factor is adjusted for prior odds, but locFDR is solely a function of the posterior odds.

log10_BF

It provides the analytically computed log10(Bayes factor) produced by CPBayes that measures the evidence of the overall pleiotropic association.

References

Majumdar A, Haldar T, Bhattacharya S, Witte JS (2018) An efficient Bayesian meta analysis approach for studying cross-phenotype genetic associations. PLoS Genet 14(2): e1007139.

See Also

cpbayes_cor, estimate_corln, analytic_locFDR_BF_uncor, cpbayes_uncor, post_summaries, forest_cpbayes

Examples

data(ExampleDataCor)
BetaHat <- ExampleDataCor$BetaHat
BetaHat
SE <- ExampleDataCor$SE
SE
cor <- ExampleDataCor$cor
cor
result <- cpbayes_cor(BetaHat, SE, cor)
str(result)