size.mean: Sample Size Determination for Testing Arithmetic Means

In misty: Miscellaneous Functions 'T. Yanagida'

Sample Size Determination for Testing Arithmetic Means

Description

This function performs sample size computation for the one-sample and two-sample t-test based on precision requirements (i.e., type-I-risk, type-II-risk and an effect size).

Usage

size.mean(delta, sample = c("two.sample", "one.sample"),
          alternative = c("two.sided", "less", "greater"),
          alpha = 0.05, beta = 0.1, check = TRUE, output = TRUE)

Arguments

delta	a numeric value indicating the relative minimum difference to be detected, \delta.
sample	a character string specifying one- or two-sample t-test, must be one of "two.sample" (default) or "one.sample".
alternative	a character string specifying the alternative hypothesis, must be one of "two.sided" (default), "greater" or "less".
alpha	type-I-risk, \alpha.
beta	type-II-risk, \beta.
check	logical: if TRUE, argument specification is checked.
output	logical: if TRUE, output is shown.

Value

Returns an object of class misty.object, which is a list with following entries:

call	function call
type	type of analysis
data	matrix or data frame specified in x
args	specification of function arguments
result	list with the result, i.e., optimal sample size

Author(s)

Takuya Yanagida [e-mail],

References

Rasch, D., Kubinger, K. D., & Yanagida, T. (2011). Statistics in psychology - Using R and SPSS. New York: John Wiley & Sons.

Rasch, D., Pilz, J., Verdooren, L. R., & Gebhardt, G. (2011). Optimal experimental design with R. Boca Raton: Chapman & Hall/CRC.

See Also

size.prop, size.cor

Examples

#--------------------------------------
# Two-sided one-sample test
# H0: mu = mu.0, H1: mu != mu.0
# alpha = 0.05, beta = 0.2, delta = 0.5

size.mean(delta = 0.5, sample = "one.sample",
          alternative = "two.sided", alpha = 0.05, beta = 0.2)

#--------------------------------------
# One-sided one-sample test
# H0: mu <= mu.0, H1: mu > mu.0
# alpha = 0.05, beta = 0.2, delta = 0.5

size.mean(delta = 0.5, sample = "one.sample",
          alternative = "greater", alpha = 0.05, beta = 0.2)

#--------------------------------------
# Two-sided two-sample test
# H0: mu.1 = mu.2, H1: mu.1 != mu.2
# alpha = 0.01, beta = 0.1, delta = 1

size.mean(delta = 1, sample = "two.sample",
          alternative = "two.sided", alpha = 0.01, beta = 0.1)

#--------------------------------------
# One-sided two-sample test
# H0: mu.1 <= mu.2, H1: mu.1 > mu.2
# alpha = 0.01, beta = 0.1, delta = 1

size.mean(delta = 1, sample = "two.sample",
          alternative = "greater", alpha = 0.01, beta = 0.1)

misty documentation built on Nov. 15, 2023, 1:06 a.m.