pairwise.lsmc: Contrast families

Description

These functions return standard sets of contrast coefficients. The name of any of these functions (with the .lsmc omitted) may be used as the method argument in contrast, or as the contr argument or left-hand side of a spec formula in lsmeans.

Usage

pairwise.lsmc(levs, ...)
revpairwise.lsmc(levs, ...)

poly.lsmc(levs, max.degree = min(6, k - 1))

trt.vs.ctrl.lsmc(levs, ref = 1)
trt.vs.ctrl1.lsmc(levs, ...)
trt.vs.ctrlk.lsmc(levs, ...)

eff.lsmc(levs, ...)
del.eff.lsmc(levs, ...)

Arguments

levs

Vector of factor levels

...

Additional arguments, ignored but needed to make these functions interchangeable

max.degree

The maximum degree of the polynomial contrasts in poly.lsmc

ref

Reference level (or control group) in trt.vs.ctrl.lsmc

Value

A data.frame, each column containing contrast coefficients for levs. The "desc" attribute is used to label the results in lsmeans, and the "adjust" attribute gives the default adjustment method for multiplicity.

Details

Each contrast family has a default multiple-testing adjustment as noted below. These adjustments are often only approximate; for a more exacting adjustment, use the interfaces provided to glht in the multcomp package. pairwise.lsmc and revpairwise.lsmc generate contrasts for all pairwise comparisons among least-squares means at the levels in levs. The distinction is in which direction they are subtracted. For factor levels A, B, C, D, pairwise.lsmc generates the comparisons A-B, A-C, A-D, B-C, B-D, and C-D, whereas revpairwise.lsmc generates B-A, C-A, C-B, D-A, D-B, and D-C. The default multiplicity adjustment method is "tukey", which is approximate when the standard errors differ. poly.lsmc generates orthogonal polynomial contrasts, assuming equally-spaced factor levels. These are derived from the poly function, but an ad hoc algorithm is used to scale them to integer coefficients that are (usually) the same as in published tables of orthogonal polynomial contrasts. The default multiplicity adjustment method is "none". trt.vs.ctrl.lsmc and its relatives generate contrasts for comparing one level (or the average over specified levels) with each of the other levels. The argument ref should be the index(es) (not the labels) of the reference level(s). trt.vs.ctrl1.lsmc is the same as trt.vs.ctrl with a reference value of 1, and trt.vs.ctrlk.lsmc is the same as trt.vs.ctrl with a reference value of length(levs). The default multiplicity adjustment method is "sidak", which is slightly conservative. eff.lsmc and del.eff.lsmc generate contrasts that compare each level with the average over all levels (in eff.lsmc) or over all other levels (in del.eff.lsmc). These differ only in how they are scaled. For a set of $k$ lsmeans, del.eff.lsmc gives weight $1$ to one lsmean and weight $-1/(k-1)$ to the others, while eff.lsmc gives weights $(k-1)/k$ and $-1/k$ respectively, as in subtracting the overall lsmean from each lsmean. The default multiplicity adjustment method is "fdr". This is a Bonferroni-based method and is slightly conservative; see p.adjust

Examples

Run this code

### View orthogonal polynomials for 4 levels
poly.lsmc(1:4)

### Setting up a custom contrast function
helmert.lsmc <- function(levs, ...) {
  M <- as.data.frame(contr.helmert(levs))
  names(M) <- paste(levs[-1],"vs earlier")
  attr(M, "desc") <- "Helmert contrasts"
  M
}
warp.lm <- lm(breaks ~ wool*tension, data = warpbreaks)
lsmeans(warp.lm, helmert ~ tension | wool)