size.prop: Sample Size Determination for Testing Proportions

In misty: Miscellaneous Functions 'T. Yanagida'

Sample Size Determination for Testing Proportions

Description

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

Usage

size.prop(pi = 0.5, delta, sample = c("two.sample", "one.sample"),
          alternative = c("two.sided", "less", "greater"),
          alpha = 0.05, beta = 0.1, correct = FALSE,
          check = TRUE, output = TRUE)

Arguments

pi	a number indicating the true value of the probability under the null hypothesis (one-sample test), \pi.0 or a number indicating the true value of the probability in group 1 (two-sample test), \pi.1.
delta	minimum difference to be detected, \delta.
sample	a character string specifying one- or two-sample proportion 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), "less" or "greater".
alpha	type-I-risk, \alpha.
beta	type-II-risk, \beta.
correct	a logical indicating whether continuity correction should be applied.
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

Fleiss, J. L., Levin, B., & Paik, M. C. (2003). Statistical methods for rates and proportions (3rd ed.). John Wiley & Sons.

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

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

See Also

size.mean, size.cor

Examples

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

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

#--------------------------------------
# Two-sided one-sample test
# H0: pi = 0.5, H1: pi != 0.5
# alpha = 0.05, beta = 0.2, delta = 0.2
# with continuity correction

size.prop(pi = 0.5, delta = 0.2, sample = "one.sample",
          alternative = "two.sided", alpha = 0.05, beta = 0.2,
          correct = TRUE)

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

size.prop(pi = 0.5, delta = 0.2, sample = "one.sample",
          alternative = "less", alpha = 0.05, beta = 0.2)

#--------------------------------------
# Two-sided two-sample test
# H0: pi.1 = pi.2 = 0.5, H1: pi.1 != pi.2
# alpha = 0.01, beta = 0.1, delta = 0.2

size.prop(pi = 0.5, delta = 0.2, sample = "two.sample",
          alternative = "two.sided", alpha = 0.01, beta = 0.1)

#--------------------------------------
# One-sided two-sample test
# H0: pi.1 <=  pi.1 = 0.5, H1: pi.1 > pi.2
# alpha = 0.01, beta = 0.1, delta = 0.2

size.prop(pi = 0.5, delta = 0.2, sample = "two.sample",
          alternative = "greater", alpha = 0.01, beta = 0.1)

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