no.reps {dae} R Documentation

## Computes the number of replicates for an experiment

### Description

Computes the number of pure replicates required in an experiment to achieve a specified power.

### Usage

no.reps(multiple=1., df.num=1.,
df.denom=expression((df.num + 1.) * (r - 1.)), delta=1.,
sigma=1., alpha=0.05, power=0.8, tol=0.1, print=FALSE)


### Arguments

 multiple The multiplier, m, which when multiplied by the number of pure replicates of a treatment, r, gives the number of observations rm used in computing means for some, not necessarily proper, subset of the treatment factors; m is the replication arising from other treatment factors. However, for single treatment factor experiments the subset can only be the treatment factor and m = 1. df.num The degrees of freedom of the numerator of the F for testing the term involving the treatment factor subset. df.denom The degrees of freedom of the denominator of the F for testing the term involving the treatment factor subset. delta The true difference between a pair of means for some, not necessarily proper, subset of the treatment factors. sigma The population standard deviation. alpha The significance level to be used. power The minimum power to be achieved. tol The maximum difference tolerated between the power required and the power computed in determining the number of replicates. print TRUE or FALSE to have or not have a table of power calculation details printed out.

### Value

A list containing nreps, a single numeric value containing the computed number of pure replicates, and power, a single numeric value containing the power for the computed number of pure replicates.

### Author(s)

Chris Brien

power.exp, detect.diff in package dae.
## Compute the number of replicates (blocks) required for a randomized