ci.yule: Confidence intervals for generalized Yule coefficients

In statpsych: Statistical Methods for Psychologists

Confidence intervals for generalized Yule coefficients

Description

Computes confidence intervals for four generalized Yule measures of association (Yule Q, Yule Y, Digby H, and Bonett-Price Y*) using a transformation of a confidence interval for an odds ratio with .5 added to each cell frequency. This function requires the frequency counts from a 2 x 2 contingency table for two dichotomous variables. Digby H is sometimes used as a crude approximation to the tetrachoric correlation. Yule Y is equal to the phi coefficient only when all marginal frequencies are equal. Bonett-Price Y* is a better approximation to the phi coefficient when the marginal frequencies are not equal.

For more details, see Section 3.4 of Bonett (2021, Volume 3)

Usage

ci.yule(alpha, f00, f01, f10, f11)

Arguments

alpha	alpha level for 1-alpha confidence
f00	number of participants with y = 0 and x = 0
f01	number of participants with y = 0 and x = 1
f10	number of participants with y = 1 and x = 0
f11	number of participants with y = 1 and x = 1

Value

Returns a 1-row matrix. The columns are:

• Estimate - estimate of generalized Yule coefficient

• SE - standard error

• LL - lower limit of the confidence interval

• UL - upper limit of the confidence interval

References

\insertRef

Bonett2021statpsych \insertRefBonett2007statpsych

Examples

ci.yule(.05, 229, 28, 96, 24)

# Should return:
#    Estimate     SE    LL    UL
# Q:    0.343 0.1328 0.062 0.573
# Y:    0.177 0.0729 0.031 0.315
# H:    0.262 0.1051 0.047 0.454
# Y*:   0.131 0.0546 0.023 0.236

statpsych documentation built on Jan. 13, 2026, 1:07 a.m.