preprocessCore (version 1.34.0)

rcModels: Fit row-column model to a matrix

Description

These functions fit row-column effect models to matrices

Usage

rcModelPLM(y,row.effects=NULL,input.scale=NULL)
rcModelWPLM(y, w,row.effects=NULL,input.scale=NULL)
rcModelMedianPolish(y)

Arguments

y

A numeric matrix

w

A matrix or vector of weights. These should be non-negative.

row.effects

If these are supplied then the fitting procedure uses these (and analyzes individual columns separately)

input.scale

If supplied will be used rather than estimating the scale from the data

Value

A list with following items:

Estimates

The parameter estimates. Stored in column effect then row effect order

Weights

The final weights used

Residuals

The residuals

StdErrors

Standard error estimates. Stored in column effect then row effect order

Scale

Scale Estimates

Details

These functions fit row-column models to the specified input matrix. Specifically the model $$y_{ij} = r_i + c_j + \epsilon_{ij}$$ with $r_i$ and $c_j$ as row and column effects respectively. Note that this functions treat the row effect as the parameter to be constrained using sum to zero (for rcModelPLM and rcModelWPLM) or median of zero (for rcModelMedianPolish).

The rcModelPLM and rcModelWPLM functions use a robust linear model procedure for fitting the model.

The function rcModelMedianPolish uses the median polish algorithm.

See Also

rcModelPLMr,rcModelPLMd

Examples

col.effects <- c(10,11,10.5,12,9.5)
row.effects <- c(seq(-0.5,-0.1,by=0.1),seq(0.1,0.5,by=0.1))


y <- outer(row.effects, col.effects,"+")
w <- runif(50)

rcModelPLM(y)
rcModelWPLM(y, w)
rcModelMedianPolish(y)

y <- y + rnorm(50)

rcModelPLM(y)
rcModelWPLM(y, w)
rcModelMedianPolish(y)



rcModelPLM(y,row.effects=row.effects)
rcModelWPLM(y,w,row.effects=row.effects)

rcModelPLM(y,input.scale=1.0)
rcModelWPLM(y, w,input.scale=1.0)
rcModelPLM(y,row.effects=row.effects,input.scale=1.0)
rcModelWPLM(y,w,row.effects=row.effects,input.scale=1.0)