Confidence intervals for standardized effect sizes: theory, application, and implementation

Kelley2007Plug-in asymptotics

Kelley (2007) — confidence intervals for standardized effect sizes

Result

noncentral-FF/tt/χ2\chi^2 confidence intervals for η2\eta^2, R2R^2 and Cohen's dd under normal-theory ANOVA (MBESS).

Use

the standard applied route for η2\eta^2 intervals, assuming Gaussian errors and a fixed design; O6 replaces that assumption by ES4<∞E S^4<\infty and a first-order limit.

Verification

verified at jstatsoft.org.

K. Kelley, Journal of Statistical Software 20(8), 2007. Noncentral-F intervals for eta-squared and R-squared under normal-theory ANOVA; the normality assumption O6 avoids. Registered 5 Sep 2026; verified at jstatsoft.org.

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