plots.2levFr {BDEsize}

Diagnosis Graphs for Sample Size of Two-level Fractional Factorial Design

Description

This function produces graphs between the sample size, power and the detectable standardized effect size of two-level fractional factorial design.

Usage

plots.2levFr(nfactor, nfraction, interaction = FALSE, delta_type = 1, 
    delta = c(1, 0, 1), deltao = NULL, alpha = 0.05, beta = 0.2, type = 1, 
    maxsize = 1000) 

Arguments

nfactor

the number of factor.

nfraction

the number of fraction. For example, when a model is 2^(k-p), k is the number of factor and p is the number of fraction. It is called a 1/2^p fraction of the 2^k design.

interaction

specifies whether two-way interaction effects are included in a model with the main effects. When interaction = TRUE, two-way interaction effects are include in a model.

delta_type

specifies the type of standardized effect size: 1 for standard deviation type and 2 for range type.

delta

vector of effect sizes: delta[1] for main effects, delta[2] for two-way interaction effects, and delta[3] for standard deviation of noise. When interaction=FALSE, delta[2] is 0.

deltao

the minimal detectable standardized effect size for power vs the sample size plot when type = 3.

alpha

Type I error.

beta

Type II error.

type

graph type: 1 for Power vs Delta plot, 2 for Delta vs Sample size plot, and 3 for Power vs Sample size plot.

maxsize

tolerance for sample size.

Details

This function produces graph between the sample size, power 1-beta and the detectable standardized effect size delta of two-level fractional factorial design. According to type, it displays plot of Power vs Delta, Delta vs Sample size, or Power vs Sample size.

Value

plot of Power vs Delta, Delta vs Sample size, or Power vs Sample size according to type.

See Also

plots.Full, plots.Split, plots.Block.

Examples

# plot of Power vs Delta for two-level fractional factorial design
# without the interaction effects
plots.2levFr(nfactor=3, nfraction=1, interaction=FALSE,
    delta_type=1, delta=c(1, 0, 1), alpha=0.05, beta=0.2, type=1)
# plot of Power vs Sample size for two-level fractional factorial design
# with the interaction effects
plots.2levFr(nfactor=5, nfraction=1, interaction=TRUE,
    delta_type=1, delta=c(1, 1, 1), deltao=1, alpha=0.05, beta=0.2, type=3)