CLES {canprot}R Documentation

Common Language Effect Size


Calculate common language effect size.


  CLES(x, y)



numeric, data


numeric, data


“For continuous data, it [the common language statistic] is 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 x and y where the difference (y - x) is positive.


McGraw, Kenneth O. and Wong, S. P. 1992 A common language effect size statistic. Psychological Bulletin 11, 361–365. doi: 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.


# generate synthetic data for heights in inches of 18-24
# year-old males and females (NCHS, 1987, Tables 13 and 14)
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)

[Package canprot version 0.0.2 Index]