ci_overlap: Confidence-interval overlap of regression coefficients

In SynthesizerPlus: Synthetic Data Generation with Copulas, Evaluation and Multi-Format I/O

Confidence-interval overlap of regression coefficients

Description

A specific utility measure: the same regression model is fitted to the real and the synthetic data and, for each coefficient, the overlap of the two confidence intervals is computed (Karr et al., 2006):

IO = \frac{1}{2}\left(\frac{U-L}{u_r-l_r} + \frac{U-L}{u_s-l_s}\right)

where [L, U] is the intersection of the intervals. Overlap is 1 for identical intervals and can become negative when they are disjoint.

Usage

ci_overlap(real, synthetic, formula, family = stats::gaussian(), level = 0.95)

Arguments

real, synthetic	Data frames.
formula	Model formula.
family	A stats::family() object (default Gaussian, i.e. linear regression).
level	Confidence level.

Value

A data frame with estimates, intervals, the standardised difference of the estimates and the interval overlap per coefficient.

References

Karr, A. F., Kohnen, C. N., Oganian, A., Reiter, J. P. and Sanil, A. P. (2006). A framework for evaluating the utility of data altered to protect confidentiality. The American Statistician, 60(3), 224–232. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1198/000313006X124640")}

Examples

syn <- synthesize(mtcars, seed = 1)
ci_overlap(mtcars, syn, mpg ~ wt + hp)

SynthesizerPlus documentation built on Oct. 16, 2026, 5:10 p.m.