Package 'ttScreening'

Genome-Wide DNA Methylation Sites Screening by Use of Training and Testing Samples

Description

A screening process to filter out non-informative DNA methylation sites by applying (ordinary or robust) linear regressions to training data, and the results are further examined using testing samples. Surrogate variables are included to account for unknown factors.

Details

Package:	ttScreening
Type:	Package
Version:	1.6
Date:	2018-09-18
License:	Artistic-2.0

This package utilizes training and testing samples to filter out uninformative DNA methylation sites. Surrogate variables (SVs) of DNA methylation are included in the filtering process to explain unknown factor effects.

Author(s)

Meredith Ray, Xin Tong, Hongmei Zhang

Maintainer: Meredith Ray <[email protected]>

References

Ray MA, Tong X, Lockett GA, Zhang H, and Karmaus WJJ. (2016) “An Efficient Approach to Screening Epigenome-Wide Data”, BioMed Research International.

Leek JT and Storey JD. (2007) “Capturing heterogeneity in gene expression studies by ‘Surrogate Variable Analysis’.” PLoS Genetics, 3: e161.

See Also

sva

---

Adjusted irwsva.build which builds surrogate variables from gene expression data

Description

This function is directly modified from the original irwsva.build() in the SVA package. It was noticed that under certain circumstances a subscript out of bounds error would occur while running the SVA function. Therefore, this modified code has a single line altered that conditionally uses the generic singular decomposition, svd(), instead of fast singular decomposition, fast.svd().

Usage

irwsva.build2(dat, mod, mod0 = NULL, n.sv, B = 5)

Arguments

dat	A m CpG sites by n subjects matrix of methylation data.
mod	A n by k model matrix corresponding to the primary model fit (see model.matrix)
mod0	A n by k0 model matrix corresponding to the null model to be compared to mod.
n.sv	The number of surrogate variables to construct.
B	The number of iterations of the algorithm to perform.

Details

See http://www.bioconductor.org/packages/release/bioc/manuals/sva/man/sva.pdf

Value

sv	A n by n.sv matrix where each column is a distinct surrogate variable.
pprob.gam	A vector with the posterior probability estimates that each row is affected by dependence.
pprob.b	A vector with the posterior probabiliity estimates that each row is affected by the variables in mod, but not in mod0.
n.sv	The number of suggorate variables estimated.

Note

sva Vignette http://www.biostat.jhsph.edu/~jleek/sva/

Author(s)

Original irwsva.build: Jeffrey T. Leek <[email protected]>, John Storey [email protected]

References

Original sva: Leek JT and Storey JD. (2008) A general framework for multiple testing dependence.Proceedings of the National Academy of Sciences, 105: 18718-18723.

Leek JT and Storey JD. (2007) Capturing heterogeneity in gene expression studies by surrogate variable analysis. PLoS Genetics, 3: e161.

---

Adjusted num.sv which estimates the number of important surrogate variables from a gene expression data set.

Description

This function is directly modified from the orginal num.sv() in the sva package. This function has the tolerance level in the fast.svd() function set back to its orginal default instead of 0.

Usage

num.sv2(dat, mod, method = c("be", "leek"), vfilter = NULL, 
B = 20, sv.sig = 0.1, seed = NULL)

Arguments

dat	A m genes by n arrays matrix of expression data.
mod	A n by k model matrix corresponding to the primary model fit (see model.matrix).
method	The method to use for estimating surrogate variables, for now there is only one option (based ib Buja and Eyuboglu 1992).
vfilter	The number of most variable genes to use when building SVs, must be between 100 and m.
B	The number of null iterations to perform. Only used when method="be".
sv.sig	The significance cutoff for eigengenes. Only used when method="be".
seed	A numeric seed for reproducible results. Optional, only used when method="be".

Details

See http://www.bioconductor.org/packages/release/bioc/manuals/sva/man/sva.pdf

Value

n.sv	The number of significant surrogate variables

Note

sva Vignette http://www.biostat.jhsph.edu/~jleek/sva/

Author(s)

Original num.sv: Jeffrey T. Leek <[email protected]>, John Storey [email protected]

References

Original sva: Leek JT and Storey JD. (2008) A general framework for multiple testing dependence.Proceedings of the National Academy of Sciences, 105: 18718-18723.

Leek JT and Storey JD. (2007) Capturing heterogeneity in gene expression studies by surrogate variable analysis. PLoS Genetics, 3: e161.

---

The adjusted sva code using irwsva.build2

Description

This function is the modified SVA function in which it uses the irwsva.build2 function rather than the irwsva.build function to build the surrogate variables. Thus, only a single line has been altered from the original SVA() function.

Usage

sva2(dat, mod, mod0 = NULL, n.sv = NULL, method = c("irw", "two-step"), 
	vfilter = NULL, B = 5, numSVmethod = "be")

Arguments

dat	An m by n (m cpg sites by n subjects) matrix of methylation data.
mod	A n by k model matrix corresponding to the primary model fit (see model.matrix).
mod0	A n by k0 model matrix corresponding to the null model to be compared to mod.
n.sv	Optional. The number of surrogate variables to estimate, can be estimated using the num.sv function.
method	Choose between the iteratively re-weighted or two-step surrogate variable estimation algorithms.
vfilter	The number of most variable CpG sites to use when building SVs, must be between 100 and m.
B	The number of iterations of the algorithm to perform.
numSVmethod	The method for determining the number of surrogate variables to use.

Details

See http://www.bioconductor.org/packages/release/bioc/manuals/sva/man/sva.pdf

Value

sv	A n by n.sv matrix where each column is a distinct surrogate variable.
pprob.gam	A vector with the posterior probability estimates that each row is affected by dependence.
pprob.b	A vector with the posterior probabiliity estimates that each row is affected by the variables in mod, but not in mod0.
n.sv	The number of suggorate variables estimated.

Note

sva Vignette http://www.biostat.jhsph.edu/~jleek/sva/

Author(s)

Original sva: Jeffrey T. Leek <[email protected]>, John Storey [email protected]

References

Original sva: Leek JT and Storey JD. (2008) A general framework for multiple testing dependence. Proceedings of the National Academy of Sciences, 105: 18718-18723.

Leek JT and Storey JD. (2007) Capturing heterogeneity in gene expression studies by surrogate variable analysis. PLoS Genetics, 3: e161.

---

A screening process built upon training and testing samples

Description

A screening process to filter out non-informative DNA methylation sites by applying (ordinary or robust) linear regressions to training data, and the results are further examined using testing samples. Surrogate variables are included to account for unknown factors.

Usage

ttScreening(y = y, formula, imp.var, data, B.values=FALSE,iterations = 100, 
sva.method = c("two-step", "irw"), cv.cutoff = 50, n.sv = NULL, 
train.alpha = 0.05, test.alpha = 0.1, FDR.alpha = 0.05, Bon.alpha = 0.05,
percent = (2/3),linear = c("robust", "ls"), vfilter = NULL, B = 5,
 numSVmethod = "be", rowname = NULL, maxit=20)

Arguments

y	Data matrix of DNA methylation measures (m by n, m CpG sites and n subjects). Each column represents DNA methylation measures of all CpG sites for one subject.
formula	An object of class formula (or one that can be coerced to that class): a symbolic description of the model to be fitted. The details of model specification are given under "Details".
imp.var	A vector indicating the location of the term(s) in the formula option on which the selection of CpG sites are made. Interactions are considered a single term. For example, suppose the right-hand side of the equation is: x + z + x:z. If the decision of selecting a CpG site is based on one single term, e.g., the significance of interaction effect, then imp.var is set as the location of that term, e.g., imp.var=3 (the third term). If the decision is desired to base on all the three terms, then imp.var=c(1,2,3).
data	Data frame created from model.frame. Also is the data frame containing the variables defined in formula.
B.values	Logical, TRUE if indicating the methylation is measured as beta values, FALSE if methylation is measured as M-values. The default is FALSE.
iterations	Number of loops for the training/testing (TT) procedure. The default is 100.
sva.method	Option of the two surrogate variable estimation algorithms, the iteratively re-weighted, "irw", or two-step, "two-step". The default is "two-step".
cv.cutoff	The minimum frequency required for a DNA methylation site to be treated as an informative site. After "iterations" iterations, the frequency of each DNA methylation being selected out of "iterations" iterations is recorded. The higher the frequency, the more likely the site is informative. The default is 50.
n.sv	Number of surrogate variables. If NULL, the number of surrogate variables will be determined based on the data. The default is NULL.
train.alpha	Significance level for training samples. The default is 0.05.
test.alpha	Significance level for testing samples. The default is 0.05.
FDR.alpha	False discovery rate. The default is 0.05. This is to fit the need of selecting variables based on FDR.
Bon.alpha	Overall significance level by use of the Bonferroni method for mulitple testing correction. The default is 0.05. This is to fit the need of selecting variables based on the Bonferroni multiple testing correction.
percent	Proportion of the full sample to be used for training. The default is 2/3.
linear	Choice of linear regression methods, "robust" (robust regression) or "ls" (ordinary least squares). The default is "ls".
vfilter	The number of most variable CpG sites to use when building SVs, must be between 100 and the number of genes; Must be NULL or numeric (> 0), The default is NULL.
B	Number of iterations in generating surrogate variables. The default is 5.
numSVmethod	The method for determining the number of surrogate variables to use. The default is "be", the other method is "leek".
rowname	Optional, NULL or "TRUE". The default is NULL. If rownames are not already present within the data, the order in which the DNA methylation sites are listed will become the rowname. Surrogate variable estimates are formed based on the algorithms in Leek and Storey (2007).
maxit	Optional, controls the number of iterations for linear regression estimation methods. The default is 20.

Details

See lm or glm for details.

Value

sub.remove	Denotes which subjects (based on order) were removed due to incomplete or missing data within the prediction variables defined in the formula arguement.
train.cpg	Number of DNA methylation sites selected after the training step of each loop.
test.cpg	Number of DNA methylation sites selected after the testing step of each loop.
selection	Indicator matrix for the TT method after the testing step. The number of rows is the number of methylation sites, and the number of columns is the number of iterations. An entry of 1 indiates the selection of a site, and 0 otherwise.
pvalue.matrix	Matrix of p-values of the selected DNA methylation sites after the testing step. The number of rows is the number of methylation sites and the number of columns is the number of iterations. For methylation sites not selected, NA is listed.
TT.cpg	Final list of the DNA methylation sites by their original rownames selected from the TT method.
FDR.cpg	Final list of the DNA methylation sites by their original rownames selected from the FDR method.
Bon.cpg	Final list of the DNA methylation sites by their original rownames selected from the Bonferroni method.
SV.output	Data frame containing the estimated surrogate variables.
TT.output	Data frame containing the list of DNA methylation sites selected from the TT method and the respective coefficients and pvalues for the variables and SVs.
FDR.output	Data frame containing the list of DNA methylation sites selected from the FDR method and the respective coefficients and pvalues for the variables and SVs.
Bon.output	Data frame containing the list of DNA methylation sites selected from the Bonferroni method and the respective coefficients and pvalues for the variables and SVs.

References

Meredith Ray, Xin Tong, Hongmei Zhang, and Wilfred Karmaus. (2014) "DNA methylation sites screening with surrogate variables", unpublished manuscript.

Leek JT and Storey JD. (2007) "Capturing heterogeneity in gene expression studies by ‘Surrogate Variable Analysis’." PLoS Genetics, 3: e161.

Examples

## Not run: 
library(mvtnorm)
nsub=600
imp=100
num=2000

set.seed(1)
x1= rnorm(nsub,1,1)
size1<-rmultinom(1,nsub,c(0.15,0.25,0.25,0.35))
x2= matrix(sample(c(rep(0,size1[1,]),
			rep(1,size1[2,]),
			rep(2,size1[3,]),
			rep(3,size1[4,])),replace=F),byrow=250,ncol=1)
			
sur1<-rnorm(nsub,0,5)
sur2<-rnorm(nsub,3,1)
sur3<-rnorm(nsub,0,1)
sur4<-rnorm(nsub,2,4)
sur5<-rnorm(nsub,0,3)

sigma1<-matrix(0,nrow=num,ncol=num)
diag(sigma1)<-1.5

beta0<-0.5
beta1<-0.3
beta2<-0.3
beta3<-0.3

sbeta1<-rnorm(1,0.5,0.01)
sbeta2<-rnorm(1,0.5,0.01)
sbeta3<-rnorm(1,0.5,0.01)
sbeta4<-rnorm(1,0.5,0.01)
sbeta5<-rnorm(1,0.5,0.01)

#beta matrix#
beta<-as.matrix(cbind(beta0,beta1,beta2,beta3,sbeta1,sbeta2,sbeta3,sbeta4,sbeta5))
beta.no2<-as.matrix(cbind(beta0,beta1,beta3,sbeta1,sbeta2,sbeta3,sbeta4,sbeta5))
beta.sur<-as.matrix(cbind(sbeta1,sbeta2,sbeta3,sbeta4,sbeta5))
#design matrix#
X<-as.matrix(cbind(rep(1,length(x1)),x1,x2,x1*x2,sur1,sur2,sur3,sur4,sur5))
X.no2<-as.matrix(cbind(rep(1,length(x1)),x1,x1*x2,sur1,sur2,sur3,sur4,sur5))
X.sur<-as.matrix(cbind(sur1,sur2,sur3,sur4,sur5))
#mu matrix#
imp1.mu<-matrix(rep(X%*%t(beta),9),nrow=nsub,ncol=(imp*0.9))
imp2.mu<-matrix(rep(X.no2%*%t(beta.no2),1),nrow=nsub,ncol=(imp*0.1))
noimp.mu<-matrix(rep(X.sur%*%t(beta.sur),num-imp),nrow=nsub,ncol=num-imp)
mu.matrix=cbind(imp1.mu, imp2.mu, noimp.mu)
error<-rmvnorm(nsub,mean=rep(0,num),sigma=sigma1,method = "chol")
y<-t(mu.matrix+error)


runs<-ttScreening(y=y,formula=~x1+x2+x1:x2,imp.var=3,data=data.frame(x1,x2),sva.method="two-step",
			B.values=FALSE,iterations=100,cv.cutoff=50,n.sv=NULL,train.alpha=0.05,
			test.alpha=0.05,FDR.alpha=0.05,Bon.alpha=0.05,percent=(2/3),linear= "ls",
			vfilter = NULL, B = 5, numSVmethod = "be",rowname=NULL,maxit=20)

runs$TT.output
runs$FDR.output
runs$Bon.output

## End(Not run)

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