w_to_fei function

Convert Between Effect Sizes for Contingency Tables Correlations

Enables a conversion between different indices of effect size, such as Cohen's w to , and Cramer's V to Tschuprow's T.

w_to_fei(w, p)

w_to_v(w, nrow, ncol)

w_to_t(w, nrow, ncol)

w_to_c(w)

fei_to_w(fei, p)

v_to_w(v, nrow, ncol)

t_to_w(t, nrow, ncol)

c_to_w(c)

v_to_t(v, nrow, ncol)

t_to_v(t, nrow, ncol)

Arguments

• w, c, v, t, fei: Effect size to be converted
• p: Vector of expected values. See stats::chisq.test().
• nrow, ncol: The number of rows/columns in the contingency table.

Examples

library(effectsize)

## 2D tables
## ---------
data("Music_preferences2")
Music_preferences2

cramers_v(Music_preferences2, adjust = FALSE)

v_to_t(0.80, 3, 4)

tschuprows_t(Music_preferences2)


## Goodness of fit
## ---------------
data("Smoking_FASD")
Smoking_FASD

cohens_w(Smoking_FASD, p = c(0.015, 0.010, 0.975))

w_to_fei(0.11, p = c(0.015, 0.010, 0.975))

fei(Smoking_FASD, p = c(0.015, 0.010, 0.975))

## Power analysis
## --------------
# See https://osf.io/cg64s/

p0 <- c(0.35, 0.65)
Fei <- 0.3

pwr::pwr.chisq.test(
  w = fei_to_w(Fei, p = p0),
  df = length(p0) - 1,
  sig.level = 0.01,
  power = 0.85
)

References

• Ben-Shachar, M.S., Patil, I., Thériault, R., Wiernik, B.M., Lüdecke, D. (2023). Phi, Fei, Fo, Fum: Effect Sizes for Categorical Data That Use the Chi‑Squared Statistic. Mathematics, 11, 1982. tools:::Rd_expr_doi("10.3390/math11091982")
• Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd Ed.). New York: Routledge.

See Also

cramers_v() chisq_to_fei()

Other convert between effect sizes: d_to_r(), diff_to_cles, eta2_to_f2(), odds_to_probs(), oddsratio_to_riskratio()