efficiency.criteria: Computes efficiency criteria from a set of efficiency factors

In dae: Functions Useful in the Design and ANOVA of Experiments

Computes efficiency criteria from a set of efficiency factors

Description

Computes efficiency criteria from a set of efficiency factors.

Usage

efficiency.criteria(efficiencies)

Arguments

efficiencies

A numeric containing a set of efficiency factors.

Details

The aefficiency criterion is the harmonic mean of the nonzero efficiency factors. The mefficiency criterion is the mean of the nonzero efficiency factors. The eefficiency criterion is the minimum of the nonzero efficiency factors. The sefficiency criterion is the variance of the nonzero efficiency factors. The xefficiency is the maximum of the efficiency factors. The order is the order of balance and is the number of unique nonzero efficiency factors. The dforthog is the number of efficiency factors that are equal to one.

Value

A list whose components are aefficiency, mefficiency, sefficiency, eefficiency, xefficiency, order and dforthog.

Author(s)

Chris Brien

See Also

proj2.efficiency, proj2.eigen, proj2.combine in package dae, eigen.

projector for further information about this class.

Examples

## PBIBD(2) from p. 379 of Cochran and Cox (1957) Experimental Designs. 
## 2nd edn Wiley, New York
PBIBD2.unit <- list(Block = 6, Unit = 4)
PBIBD2.nest <- list(Unit = "Block")
trt <- factor(c(1,4,2,5, 2,5,3,6, 3,6,1,4, 4,1,5,2, 5,2,6,3, 6,3,4,1))
PBIBD2.lay <- designRandomize(allocated = trt, 
                              recipient = PBIBD2.unit, 
                              nested.recipients = PBIBD2.nest)

## obtain sets of projectors
unit.struct <- pstructure(~ Block/Unit, data = PBIBD2.lay)
trt.struct <- pstructure(~ trt, data = PBIBD2.lay)

## save intrablock efficiencies
eff.inter <- proj2.efficiency(unit.struct$Q[["Unit[Block]"]], trt.struct$Q[["trt"]])

## calculate efficiency criteria
efficiency.criteria(eff.inter)

dae documentation built on Aug. 21, 2025, 5:56 p.m.