ssea.oneway {ALSM}

Planning of Sample Sizes with Estimation Approach Single factor ANOVA

Description

This approach is to specify the major comparisons of interest. Determine the expected widths of the confidence intervals for various sample sizes, given standard deviation (sigma).

Usage

ssea.oneway(number.group,mc,sigma,n.weight,ci.width,type=c("s", "b"), alpha = 0.05)

Arguments

number.group

number of treatments.

mc

matrix of contrast. each row determine one contrast.

sigma

Standard deviation.

n.weight

weight of sample size Corresponding to each treatment.

ci.width

width of confidence interval Corresponding to each contrast.

type

type of calculate confidence interval.

alpha

Confidence interval calculate with 1-alpha percent

Value

sample size obtain based on confidence interval.

References

Michael H. Kutner; Christopher J. Nachtsheim; John Neter; William Li. Applied Linear Statistical Models Fifth Edition. page 759.

Examples

mc=matrix(c(1,-1,0,0,.5,.5,-.5,-.5,1/3,1/3,1/3,-1),byrow=TRUE,nrow = 3)
ssea.oneway(4,mc,sigma=2,n.weight=c(1,1,1,1),ci.width=c(2.61,1.85,2.14)*2,type='s')
#### page 761
mc=matrix( c(1,0,0,-1,0,1,0,-1,0,0,1,-1),byrow=TRUE,nrow = 3)
ssea.oneway(4,mc,2,n.weight=c(1,1,1,2),ci.width=c(1,1,1)*2,type='b',alpha=.1)

#### problem 17.25 page 772
mc=matrix(c(1,-1,0,0,0,0,
            .5,.5,-.5,-.5,0,0,
            0,0,1,-1,0,0,
            .25,.25,.25,.25,-.5,-.5),byrow=TRUE,nrow=4)
ssea.oneway(6,mc,.15,n.weight=rep(1,6),ci.width=rep(2*0.08,4),type='b',alpha=.05)