Contents

samplesize()

Usage:

samplesize(noncen,ngrp,alpha,Pwr[,design:"rbd"][,maxn:N]), noncen > 0,
  0 < alpha < 1, 0 < Pwr < 1, integers ngrp > 0, N > 0

Keywords: probabilities, glm, anova

samplesize(noncen,ngrp,alpha,Pwr) computes the group sample size (number
of replicates) required in a balanced one-way analysis of variance
(completely randomized design with equal group sizes) of ngrp groups at
significance level alpha to achieve power Pwr.

Argument noncen is the noncentrality parameter and is interpreted as
sum(alpha^2)/sigma^2, where alpha is a vector of treatment effects with
sum(alpha) = 0 and sigma is the error standard deviation.

If the required sample size exceeds 256, 256 is returned.

samplesize(mu^2/sigma^2,1,alpha,Pwr) returns the sample size required to
achieve power Pwr in a single-sample two-tail t-test of H0: mu = 0 when
the standard deviation is sigma.

samplesize(noncen,ngrp,alpha,Pwr,design:"rbd") computes the number of
blocks required to achieve power Pwr in a randomized complete block
design with ngrp >= 2 treatments.

samplesize(noncen,ngrp,alpha,Pwr [,design:"rbd"], maxn:N), N > 0 an
integer, does the same, except if the required samples size exceeds N, N
is returned.

See also power() and power2().