adjust.linearmodel: Batch adjustment using a linear model

In swamp: Visualization, Analysis and Adjustment of High-Dimensional Data in Respect to Sample Annotations

Description

The function uses a linear model for each feature: with the feature as dependent variable and technical variables (batches) as regressors.

Usage

adjust.linearmodel(g, o.batches, robust.lm = F, small.memory = F)

Arguments

g	the input data in form of a matrix with features as rows and samples as columns. NAs are allowed.
o.batches	contains the batch variable(s). a numeric or factor vector, or a dataframe.
robust.lm	default=F, if set to true robust linear models are performed by rlm of package MASS. The calculations take longer than using lm because a loop is used.
small.memory	default=F, if set to true robust a loop through the rows is used in the lm function. This reduces the risk of running out of memory, however computation time is longer.

Details

For each feature a lm(feature~., batches) is performed. The residuals of the fitted model are returned. (The means of the features of g are added to the residuals, as the residuals are centered, which may not be desired.) Note the following possibilties of using a linear model for batch adjustment: 1. Technical variables (Batches) can be numeric. 2. Numerical technical variables can be used in transformed forms (log, exp,...). 3. Several batch variables, be it numeric or factors, can be corrected at once, by just adding more regressors to the model. By default the function performs lm. If robust.lm = T, robust linear models are performed using the rlm funcion of MASS. NAs are not allowed in g. Samples that contain NAs in o.batches are returned unadjusted.

Value

A numeric matrix which is the adjusted dataset.

Note

robust linear models require the package MASS

Author(s)

Martin Lauss

Examples

# data as a matrix
set.seed(100)
g<-matrix(nrow=1000,ncol=50,rnorm(1000*50),dimnames=list(paste("Feature",1:1000),
   paste("Sample",1:50)))
g[1:100,26:50]<-g[1:100,26:50]+1 # the first 100 features show
# higher values in the samples 26:50
# patient annotations as a data.frame, annotations should be numbers and factors
# but not characters.
# rownames have to be the same as colnames of the data matrix 
set.seed(200)
o<-data.frame(Factor1=factor(c(rep("A",25),rep("B",25))),
              Factor2=factor(rep(c("A","B"),25)),
              Numeric1=rnorm(50), Numeric2=colMeans(g),row.names=colnames(g))

##unadjusted.data
res1<-prince(g,o,top=10)
prince.plot(res1)

##batch adjustment
lin1<-adjust.linearmodel(g,o$Numeric2)
lin2<-adjust.linearmodel(g,o[,c("Numeric2","Factor2")]) # also correct for Factor2

##prince.plot
prince.plot(prince(lin1,o,top=10)) 
prince.plot(prince(lin2,o,top=10)) 

swamp documentation built on Dec. 6, 2019, 5:09 p.m.