Title: | Bayesian Meta Analysis for Studying Cross-Phenotype Genetic Associations |
Version: | 1.1.0 |
Date: | 2020-12-01 |
Author: | Arunabha Majumdar <statgen.arunabha@gmail.com> [aut, cre], Tanushree Haldar <tanushree.haldar@gmail.com> [aut], John Witte [ctb] |
Maintainer: | Arunabha Majumdar <statgen.arunabha@gmail.com> |
Description: | A Bayesian meta-analysis method for studying cross-phenotype genetic associations. It uses summary-level data across multiple phenotypes to simultaneously measure the evidence of aggregate-level pleiotropic association and estimate an optimal subset of traits associated with the risk locus. CPBayes is based on a spike and slab prior. The methodology is available from: A Majumdar, T Haldar, S Bhattacharya, JS Witte (2018) <doi:10.1371/journal.pgen.1007139>. |
Depends: | R (≥ 3.2.0) |
License: | GPL-3 |
LazyData: | TRUE |
URL: | https://github.com/ArunabhaCodes/CPBayes |
BugReports: | https://github.com/ArunabhaCodes/CPBayes/issues |
RoxygenNote: | 7.1.1 |
Suggests: | testthat, knitr, rmarkdown |
VignetteBuilder: | knitr |
Imports: | MASS, stats, forestplot, grDevices, purrr, mvtnorm |
NeedsCompilation: | no |
Packaged: | 2020-12-01 21:33:03 UTC; arunmacpro13 |
Repository: | CRAN |
Date/Publication: | 2020-12-02 07:40:23 UTC |
CPBayes: An R-package implemeting a Bayesian meta analysis method for studying cross-phenotype genetic associations.
Description
Simultaneous analysis of genetic associations with multiple phenotypes may reveal shared genetic susceptibility across traits (pleiotropy). CPBayes is a Bayesian meta analysis method for studying cross-phenotype genetic associations. It uses summary-level data across multiple phenotypes to simultaneously measure the evidence of aggregate-level pleiotropic association and estimate an optimal subset of traits associated with the risk locus. CPBayes is based on a spike and slab prior.
Details
The package consists of following functions:
analytic_locFDR_BF_uncor
, cpbayes_uncor
; analytic_locFDR_BF_cor
, cpbayes_cor
; post_summaries
, forest_cpbayes
, estimate_corln
.
Functions
analytic_locFDR_BF_uncor
It analytically computes the local FDR (locFDR) and Bayes factor (BF) quantifying the evidence of aggregate-level pleiotropic association for uncorrelated summary statistics.
cpbayes_uncor
It implements CPBayes (based on MCMC) for uncorrelated summary statistics to figure out the optimal subset of non-null traits underlying a pleiotropic signal and other insights. The summary statistics across traits/studies are uncorrelated when the studies have no overlapping/genetically related subjects.
analytic_locFDR_BF_cor
It analytically computes the local FDR (locFDR) and Bayes factor (BF) for correlated summary statistics.
cpbayes_cor
It implements CPBayes (based on MCMC) for correlated summary statistics to figure out the optimal subset of non-null traits underlying a pleiotropic signal and other insights. The summary statistics across traits/studies are correlated when the studies have overlapping/genetically related subjects or the phenotypes were measured in a cohort study.
post_summaries
It summarizes the MCMC data produced by
cpbayes_uncor
orcpbayes_cor
. It computes additional summaries to provide a better insight into a pleiotropic signal. It works in the same way for bothcpbayes_uncor
andcpbayes_cor
.forest_cpbayes
It creates a forest plot presenting the pleiotropy result obtained by
cpbayes_uncor
orcpbayes_cor
. It works in the same way for bothcpbayes_uncor
andcpbayes_cor
.estimate_corln
It computes an approximate correlation matrix of the beta-hat vector for multiple overlapping case-control studies using the sample-overlap count matrices.
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.
An example data for correlated summary statistics.
Description
ExampleDataCor is a list consisting of three components: BetaHat, SE, cor. ExampleDataCor$BetaHat is a numeric vector that contains the main genetic effect (beta/log(odds ratio)) estimates for a SNP across 10 overlapping case-control studies for 10 different diseases. Each of the 10 studies has a distinct set of 7000 cases and a common set of 10000 controls shared across all the studies. In each case-control study, we fit a logistic regression of the case-control status on the genotype coded as the minor allele count for all the individuals in the sample. One can also include various covariates, such as, age, gender, principal components (PCs) of ancestries in the logistic regression. From each logistic regression for a disease, we obtain the estimate of the main genetic association parameter (beta/log(odds ratio)) along with the corresponding standard error. Since the studies have overlapping subjects, the beta-hat across traits are correlated. ExampleDataCor$SE contains the standard error vector corresponding to the correlated beta-hat vector. ExampleDataCor$cor is a numeric square matrix providing the correlation matrix of the correlated beta-hat vector.
Usage
data(ExampleDataCor)
Format
A list consisting of two numeric vectors (each of length 10) and a numeric square matrix of dimension 10 by 10:
- BetaHat
beta hat vector of length 10.
- SE
standard error vector corresponding to the beta-hat vector.
- cor
correlation matrix of the beta-hat vector.
Examples
data(ExampleDataCor)
BetaHat <- ExampleDataCor$BetaHat
BetaHat
SE <- ExampleDataCor$SE
SE
cor <- ExampleDataCor$cor
cor
cpbayes_cor(BetaHat, SE, cor)
An example data for uncorrelated summary statistics.
Description
ExampleDataUncor is a list which has two components: BetaHat, SE. The numeric vector ExampleDataUncor$BetaHat contains the main genetic effect (beta/log(odds ratio)) estimates for a single nucleotide polymorphism (SNP) obtained from 10 separate case-control studies for 10 different diseases. In each case-control study comprising a distinct set of 7000 cases and 10000 controls, we fit a logistic regression of the case-control status on the genotype coded as the minor allele count for all the individuals in the sample. One can also include various covariates, such as, age, gender, principal components (PCs) of ancestries in the logistic regression. From each logistic regression for a disease, we obtain the estimate of the main genetic association parameter (beta/log(odds ratio)) along with the corresponding standard error. Since the studies do not have any overlapping subject, the beta-hat across the traits are uncorrelated. ExampleDataUncor$SE is the second numeric vector that contains the standard errors corresponding to the uncorrelated beta-hat vector.
Usage
data(ExampleDataUncor)
Format
A list of two numeric vectors each of length 10 (for 10 studies):
- BetaHat
beta hat vector of length 10.
- SE
standard error vector corresponding to beta-hat vector.
Examples
data(ExampleDataUncor)
BetaHat <- ExampleDataUncor$BetaHat
BetaHat
SE <- ExampleDataUncor$SE
SE
cpbayes_uncor(BetaHat, SE)
An example data of sample-overlap matrices.
Description
An example data of sample-overlap matrices for five different diseases in the Kaiser GERA cohort (a real data). SampleOverlapMatrix is a list that contains an example of the sample overlap matrices for five different diseases in the Kaiser GERA cohort. SampleOverlapMatrix$n11 provides the number of cases shared between all possible pairs of diseases. SampleOverlapMatrix$n00 provides the number of controls shared between all possible pairs of diseases. SampleOverlapMatrix$n10 provides the number of subjects who are case for one disease and control for another disease.
Usage
data(SampleOverlapMatrix)
Format
A list consisting of three integer square matrices (each of dimension 5 by 5):
- n11
number of cases shared between all possible pairs of diseases.
- n00
number of controls shared between all possible pairs of diseases.
- n10
number of subjects who are case for one disease and control for another disease.
Examples
data(SampleOverlapMatrix)
n11 <- SampleOverlapMatrix$n11
n11
n00 <- SampleOverlapMatrix$n00
n00
n10 <- SampleOverlapMatrix$n10
n10
estimate_corln(n11,n00,n10)
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 |
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)
Analytic calculation of the local FDR & Bayes factor for uncorrelated summary statistics.
Description
Run the analytic_locFDR_BF_uncor
function to analytically compute the local FDR & Bayes factor (BF)
that quantifies the evidence of aggregate-level pleiotropic association for uncorrelated summary statistics.
Here a fixed value of slab variance is considred instead of a range of it in cpbayes_uncor
.
Usage
analytic_locFDR_BF_uncor(BetaHat, SE, 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. |
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_uncor
, analytic_locFDR_BF_cor
, cpbayes_cor
, estimate_corln
, post_summaries
, forest_cpbayes
Examples
data(ExampleDataUncor)
BetaHat <- ExampleDataUncor$BetaHat
BetaHat
SE <- ExampleDataUncor$SE
SE
result <- analytic_locFDR_BF_uncor(BetaHat, SE)
str(result)
Run correlated version of CPBayes.
Description
Run correlated version of CPBayes when the main genetic effect (beta/log(odds ratio)) estimates across studies/traits are correlated.
Usage
cpbayes_cor(
BetaHat,
SE,
Corln,
Phenotypes,
Variant,
UpdateSlabVar = TRUE,
MinSlabVar = 0.6,
MaxSlabVar = 1,
MCMCiter = 7500,
Burnin = 500
)
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 is specified. |
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 is specified. |
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 |
Phenotypes |
A character vector of the same length as BetaHat providing the name of the phenotypes. Default is specified as trait1, trait2, . . . , traitK. Note that BetaHat, SE, Corln, and Phenotypes must be in the same order. |
Variant |
A character vector of length one providing the name of the genetic variant. Default is ‘Variant’. |
UpdateSlabVar |
A logical vector of length one. If TRUE, the variance of the slab distribution that presents the prior distribution of non-null effects is updated at each MCMC iteration in a range (MinSlabVar – MaxSlabVar) (see next). If FALSE, it is fixed at (MinSlabVar + MaxSlabVar)/2. Default is TRUE. |
MinSlabVar |
A numeric value greater than 0.01 providing the minimum value of the variance of the slab distribution. Default is 0.6. |
MaxSlabVar |
A numeric value smaller than 10.0 providing the maximum value of the variance of the slab distribution. Default is 1.0. **Note that, a smaller value of the slab variance will increase the sensitivity of CPBayes while selecting the optimal subset of associated traits but at the expense of lower specificity. Hence the slab variance parameter in CPBayes is inversely related to the level of false discovery rate (FDR) in a frequentist FDR controlling procedure. For a specific dataset, an user can experiment different choices of these three arguments: UpdateSlabVar, MinSlabVar, and MaxSlabVar. |
MCMCiter |
A positive integer greater than or equal to 2200 providing the total number of iterations in the MCMC. Default is 7500. |
Burnin |
A positive integer greater than or equal to 200 providing the burn in period in the MCMC. Default is 200. Note that the MCMC sample size (MCMCiter - Burnin) must be at least 2000, which is 7000 by default. |
Value
The output produced by cpbayes_cor
is a list which consists of various components.
variantName |
It is the name of the genetic variant provided by the user. If not specified by the user, default name is ‘Variant’. |
log10_BF |
It provides the log10(Bayes factor) produced by CPBayes that measures the evidence of the overall pleiotropic association. |
locFDR |
It provides the local false discovery rate (posterior probability of null association) produced by CPBayes which is a measure of the evidence of aggregate-level pleiotropic association. Bayes factor is adjusted for prior odds, but locFDR is solely a function of the posterior odds. locFDR can sometimes be small indicating an association, but log10_BF may not indicate an association. Hence, always check both log10_BF and locFDR. |
subset |
It provides the optimal subset of associated/non-null traits selected by CPBayes. It is NULL if no phenotype is selected. |
important_traits |
It provides the traits which yield a trait-specific posterior probability of association (PPAj) > 20%. Even if a phenotype is not selected in the optimal subset of non-null traits, it can produce a non-negligible value of PPAj. Note that, ‘important_traits’ is expected to include the traits already contained in ‘subset’. It provides both the name of the important traits and their corresponding value of PPAj. Always check 'important_traits' even if 'subset' contains a single trait. It helps to better explain an observed pleiotropic signal. |
auxi_data |
It contains supplementary data including the MCMC data which is used later
by
|
uncor_use |
'Yes' or 'No'. Whether the combined strategy of CPBayes (implemented for correlated summary statistics) used the uncorrelated version or not. |
runtime |
It provides the runtime (in seconds) taken by |
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
analytic_locFDR_BF_cor
, estimate_corln
, post_summaries
, forest_cpbayes
, analytic_locFDR_BF_uncor
, cpbayes_uncor
Examples
data(ExampleDataCor)
BetaHat <- ExampleDataCor$BetaHat
BetaHat
SE <- ExampleDataCor$SE
SE
cor <- ExampleDataCor$cor
cor
traitNames <- paste("Disease", 1:10, sep = "")
SNP1 <- "rs1234"
result <- cpbayes_cor(BetaHat, SE, cor, Phenotypes = traitNames, Variant = SNP1)
str(result)
Run uncorrelated version of CPBayes.
Description
Run uncorrelated version of CPBayes when the main genetic effect (beta/log(odds ratio)) estimates across studies/traits are uncorrelated.
Usage
cpbayes_uncor(
BetaHat,
SE,
Phenotypes,
Variant,
UpdateSlabVar = TRUE,
MinSlabVar = 0.6,
MaxSlabVar = 1,
MCMCiter = 7500,
Burnin = 500
)
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 is specified. |
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 is specified. |
Phenotypes |
A character vector of the same length as BetaHat providing the name of the phenotypes. Default is specified as trait1, trait2, . . . , traitK. Note that BetaHat, SE, and Phenotypes must be in the same order. |
Variant |
A character vector of length one specifying the name of the genetic variant. Default is ‘Variant’. |
UpdateSlabVar |
A logical vector of length one. If TRUE, the variance of the slab distribution that presents the prior distribution of non-null effects is updated at each MCMC iteration in a range (MinSlabVar – MaxSlabVar) (see next). If FALSE, it is fixed at (MinSlabVar + MaxSlabVar)/2. Default is TRUE. |
MinSlabVar |
A numeric value greater than 0.01 providing the minimum value of the variance of the slab distribution. Default is 0.6. |
MaxSlabVar |
A numeric value smaller than 10.0 providing the maximum value of the variance of the slab distribution. Default is 1.0. **Note that, a smaller value of the slab variance will increase the sensitivity of CPBayes while selecting the optimal subset of associated traits but at the expense of lower specificity. Hence the slab variance parameter in CPBayes is inversely related to the level of false discovery rate (FDR) in a frequentist FDR controlling procedure. For a specific dataset, an user can experiment different choices of these three arguments: UpdateSlabVar, MinSlabVar, and MaxSlabVar. |
MCMCiter |
A positive integer greater than or equal to 2200 providing the total number of iterations in the MCMC. Default is 7500. |
Burnin |
A positive integer greater than or equal to 200 providing the burn in period in the MCMC. Default is 500. Note that the MCMC sample size (MCMCiter - Burnin) must be at least 2000, which is 7000 by default. |
Value
The output produced by the function is a list which consists of various components.
variantName |
It is the name of the genetic variant provided by the user. If not specified by the user, default name is ‘Variant’. |
log10_BF |
It provides the log10(Bayes factor) produced by CPBayes that measures the evidence of the overall pleiotropic association. |
locFDR |
It provides the local false discovery rate (posterior probability of null association) produced by CPBayes 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. locFDR can sometimes be small indicating an association, but log10_BF may not indicate an association. Hence, always check both log10_BF and locFDR. |
subset |
It provides the optimal subset of associated/non-null traits selected by CPBayes. It is NULL if no phenotype is selected. |
important_traits |
It provides the traits which yield a trait-specific posterior probability of association (PPAj) > 20%. Even if a phenotype is not selected in the optimal subset of non-null traits, it can produce a non-negligible value of trait-specific posterior probability of association (PPAj). Note that, ‘important_traits’ is expected to include the traits already contained in ‘subset’. It provides both the name of the important traits and their corresponding values of PPAj. Always check 'important_traits' even if 'subset' contains a single trait. It helps to better explain an observed pleiotropic signal. |
auxi_data |
It contains supplementary data including the MCMC data which is used later
by
|
runtime |
It provides the runtime (in seconds) taken by |
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
analytic_locFDR_BF_uncor
, post_summaries
, forest_cpbayes
, analytic_locFDR_BF_cor
, cpbayes_cor
, estimate_corln
Examples
data(ExampleDataUncor)
BetaHat <- ExampleDataUncor$BetaHat
BetaHat
SE <- ExampleDataUncor$SE
SE
traitNames <- paste("Disease", 1:10, sep = "")
SNP1 <- "rs1234"
result <- cpbayes_uncor(BetaHat, SE, Phenotypes = traitNames, Variant = SNP1)
str(result)
Estimate correlation structure of beta-hat vector for multiple overlapping case-control studies using sample-overlap matrices.
Description
It computes an approximate correlation matrix of the estimated beta (log odds ratio) vector for multiple overlapping case-control studies using the sample-overlap matrices which describe the number of cases or controls shared between studies/traits, and the number of subjects who are case for one study/trait but control for another study/trait. For a cohort study, the phenotypic correlation matrix should be a reasonable substitute of this correlation matrix. These approximations are accurate when none of the diseases/traits is associated with the environmental covariates and genetic variant.
Usage
estimate_corln(n11, n00, n10)
Arguments
n11 |
An integer square matrix (number of rows must be the same as the number of studies/traits) providing the number of cases shared between all possible pairs of studies/traits. So (k,l)-th element of n11 is the number of subjects who are case for both k-th and l-th study/trait. Note that the diagonal elements of n11 are the number of cases in the studies/traits. If no case is shared between studies/traits, the off-diagonal elements of n11 will be zero. No default is specified. |
n00 |
An integer square matrix (number of rows must be the same as the number of studies/traits) providing the number of controls shared between all possible pairs of studies/traits. So (k,l)-th element of n00 is the number subjects who are control for both k-th and l-th study/trait. Note that the diagonal elements of n00 are the number of controls in the studies/traits. If no control is shared between studies/traits, the off-diagonal elements will be zero. No default is specified. |
n10 |
An integer square matrix (number of rows must be the same as the number of studies/traits) providing the number of subjects who are case for one study/trait and control for another study/trait. Clearly, the diagonal elements will be zero. An off diagonal element, e.g., (k,l)-th element of n10 is the number of subjects who are case for k-th study/trait and control for l-th study/trait. If there is no such overlap, all the elements of n10 will be zero. No default is specified. |
Details
***Important note on the estimation of correlation structure of correlated beta-hat vector:*** In general, environmental covariates are expected to be present in a study and associated with the phenotypes of interest. Also, a small proportion of genome-wide genetic variants are expected to be associated. Hence the above approximation of the correlation matrix may not be accurate. So in general, we recommend an alternative strategy to estimate the correlation matrix using the genome-wide summary statistics data across traits as follows. First, extract all the SNPs for each of which the trait-specific univariate association p-value across all the traits are > 0.1. The trait-specific univariate association p-values are obtained using the beta-hat and standard error for each trait. Each of the SNPs selected in this way is either weakly or not associated with any of the phenotypes (null SNP). Next, select a set of independent null SNPs from the initial set of null SNPs by using a threshold of r^2 < 0.01 (r: the correlation between the genotypes at a pair of SNPs). In the absence of in-sample linkage disequilibrium (LD) information, one can use the reference panel LD information for this screening. Finally, compute the correlation matrix of the effect estimates (beta-hat vector) as the sample correlation matrix of the beta-hat vector across all the selected independent null SNPs. This strategy is more general and applicable to a cohort study or multiple overlapping studies for binary or quantitative traits with arbitrary distributions. It is also useful when the beta-hat vector for multiple non-overlapping studies become correlated due to genetically related individuals across studies. Misspecification of the correlation structure can affect the results produced by CPBayes to some extent. Hence, if genome-wide summary statistics data across traits is available, we highly recommend to use this alternative strategy to estimate the correlation matrix of the beta-hat vector. See our paper for more details.
Value
This function returns an approximate correlation matrix of the beta-hat vector for multiple overlapping case-control studies. See the example below.
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
Examples
data(SampleOverlapMatrix)
n11 <- SampleOverlapMatrix$n11
n11
n00 <- SampleOverlapMatrix$n00
n00
n10 <- SampleOverlapMatrix$n10
n10
cor <- estimate_corln(n11, n00, n10)
cor
Forest plot presenting pleiotropy result obtained by CPBayes.
Description
Run the forest_cpbayes
function to create a forest plot that presents the pleiotropy result obtained
by cpbayes_uncor
or cpbayes_cor
.
Usage
forest_cpbayes(mcmc_output, level = 0.05, PPAj_cutoff = 0.01)
Arguments
mcmc_output |
A list returned by either
|
level |
A numeric value. (1-level)% confidence interval of the unknown true genetic effect (beta/log(odds ratio)) on each trait is plotted in the forest plot. Default choice is 0.05. |
PPAj_cutoff |
A numeric value. It's a user-specified threshold of PPAj (trait-specific posterior probability of association). Only those traits having PPAj values above this cut-off are included in the forest plot. So, the choice of this variable as '0.0' includes all traits in the forest plot. Default is 0.01. |
Value
The output produced by this function is a diagram file in .pdf format. The details of the diagram are as follows:
file_name |
The pdf file is named after the genetic variant. So, if the argument ‘Variant’
in |
Column1 |
First column in the figure specifies the name of the phenotypes. |
Column2 |
Second column provides the trait-specific univariate association p-value for a trait. |
Column3 |
Third column provides the trait-specific posterior probability of association (PPAj) produced by CPBayes. |
Column4 |
Fourth column states whether a phenotype was selected in the optimal subset of associated/non-null traits detected by CPBayes. If a phenotype was not selected, selected and positively associated, selected and negatively associated, its association status is stated as null, positive and negative, respectively. |
Column5 |
In the right section of the figure, the primary eatimate and confidence interval of the beta/log odds ratio parameter for a trait is plotted. |
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
Examples
data(ExampleDataUncor)
BetaHat <- ExampleDataUncor$BetaHat
SE <- ExampleDataUncor$SE
traitNames <- paste("Disease", 1:10, sep = "")
SNP1 <- "rs1234"
result <- cpbayes_uncor(BetaHat, SE, Phenotypes = traitNames, Variant = SNP1)
## Not run: forest_cpbayes(result, level = 0.05)
Post summary of the MCMC data generated by the uncorrelated or correlated version of CPBayes.
Description
Run the post_summaries
function to summarize the MCMC data produced by
cpbayes_uncor
or cpbayes_cor
and obtain meaningful insights
into an observed pleiotropic signal.
Usage
post_summaries(mcmc_output, level = 0.05)
Arguments
mcmc_output |
A list returned by either
|
level |
A numeric value. (1-level)% credible interval (Bayesian analog of the confidence interval) of the unknown true genetic effect (beta/odds ratio) on each trait is computed. Default choice is 0.05. |
Value
The output produced by this function is a list that consists of various components.
variantName |
It is the name of the genetic variant provided by the user. If not specified by the user, default name is ‘Variant’. |
log10_BF |
It provides the log10(Bayes factor) produced by CPBayes that measures the evidence of the overall pleiotropic association. |
locFDR |
It provides the local false discovery rate (posterior probability of null association) produced by CPBayes (a Bayesian analog of the p-value) which is a measure of the evidence of aggregate-level pleiotropic association. Bayes factor is adjusted for prior odds, but locFDR is solely a function of posterior odds. locFDR can sometimes be significantly small indicating an association, but log10_BF may not. Hence, always check both log10_BF and locFDR. |
subset |
A data frame providing the optimal subset of associated/non-null traits along with their trait-specific posterior probability of association (PPAj) and direction of associations. It is NULL if no phenotype is selected by CPBayes. |
important_traits |
It provides the traits which yield a trait-specific posterior probability of association (PPAj) > 20%. Even if a phenotype is not selected in the optimal subset of non-null traits, it can produce a non-negligible value of trait-specific posterior probability of association. We note that ‘important_traits’ is expected to include the traits already contained in ‘subset’. It provides the name of the important traits and their trait-specific posterior probability of association (PPAj) and the direction of associations. Always check 'important_traits' even if 'subset' contains a single trait. It helps to better explain an observed pleiotropic signal. |
traitNames |
It returns the name of all the phenotypes specified by the user. Default is trait1, trait2, ... , traitK. |
PPAj |
Data frame providing the trait-specific posterior probability of association for all the phenotypes. |
poste_summary_beta |
Data frame providing the posterior summary of the unknown true genetic effect (beta) on each trait. It gives posterior mean, median, standard error, credible interval (lower and upper limits) of the true beta corresponding to each trait. |
poste_summary_OR |
Data frame providing the posterior summary of the unknown true genetic effect (odds ratio) on each trait. It gives posterior mean, median, standard error, credible interval (lower and upper limits) of the true odds ratio corresponding to each trait. |
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
Examples
data(ExampleDataUncor)
BetaHat <- ExampleDataUncor$BetaHat
BetaHat
SE <- ExampleDataUncor$SE
SE
traitNames <- paste("Disease", 1:10, sep = "")
SNP1 <- "rs1234"
result <- cpbayes_uncor(BetaHat, SE, Phenotypes = traitNames, Variant = SNP1)
PleioSumm <- post_summaries(result, level = 0.05)
str(PleioSumm)