Skip to contents

Prediction limits for a sample variance in a future study

Source: R/statpsych1.R
pi.var.Rd

Computes a two-sided or one-sided prediction limit for the estimated variance in a future study for a planned sample size of n. The prediction limit uses a variance estimate from a prior study of size n0.

Several confidence interval sample size functions in this package require a planning value of the expected sample variance in the planned study. A one-sided upper variance prediction limit is useful as a variance planning value for a conservatively large sample size required to obtain a confidence interval with desired width. This strategy for specifying a variance planning value is useful in applications where the population variance in the prior study is assumed to be very similar to the population variance in the planned study.

For more details, see Section 1.31 of Bonett (2021, Volume 1)

Usage

pi.var(alpha, var, n0, n, type)

Arguments

alpha

alpha value for upper 1-alpha confidence

var

estimated variance from prior study

n0

sample size used to estimate the variance

n

planned sample size of future study

type

  • set to 1 for two-sided prediction interval

  • set to 2 for one-sided upper prediction limit

  • set to 3 for one-sided lower prediction limit

Value

Returns two-sided or one-sided prediction limit(s) of an estimate variance in a future study

References

Hahn GJ (1972). “Simultaneous prediction intervals to contain the standard deviations or ranges of future samples from a normal population.” Journal of the American Statistical Association, 67(340), 938–942. doi:10.1080/01621459.1972.10481322 .

Bonett DG (2021). Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.

Examples

pi.var(.05, 15, 40, 100, 2)
#>       UL
#>  23.9724

# Should return:
#      UL
# 23.9724