canprot (version 1.0.0)

CLES: Common Language Effect Size

Description

Calculate the common language effect size.

Usage

CLES(x, y)

Arguments

x

numeric, data

y

numeric, data

Details

The common language statistic is defined for continuous data as “the probability that a score sampled at random from one distribution will be greater than a score sampled from some other distribution.” (McGraw and Wong, 1992)

This function calculates the fraction of all possible pairings between elements of x and y where the difference (y value - x value) is positive.

The example uses synthetic data; the actual data used by McGraw and Wong is from NCHS (1987, Tables 13 and 14).

References

McGraw, Kenneth O. and Wong, S. P. (1992) A common language effect size statistic. Psychological Bulletin 11, 361--365. 10.1037/0033-2909.111.2.361

National Center for Health Statistics (1987) Anthropometric Reference Data and Prevalence of Overweight: United States, 1976-1980. Data from the National Health Survey, Series 11, No. 238. DHHS Publication (PHS) No. 87-1688. U.S. Government Printing Office, Washington, DC. http://www.cdc.gov/nchs/data/series/sr_11/sr11_238.pdf

Examples

# NOT RUN {
# Generate synthetic data for heights in inches of 18-24
# year-old males and females
height_male <- rnorm(988, 69.7, 2.8)
height_female <- rnorm(1066, 64.3, 2.6)
# The CLES is approximately 0.92 (McGraw and Wong, 1992)
CLES(height_female, height_male)
# }