solveRIPr2x2PropDiff: Reverse information projection onto a fixed propDiff

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Reverse information projection onto a fixed propDiff

Description

The null pair ⁠(nullThetaA, nullThetaA - propDiff)⁠ closest in KL divergence to ⁠(thetaA, thetaB)⁠ for one block: the root of the derivative of ⁠na KL(thetaA || nullThetaA) + nb KL(thetaB || nullThetaB)⁠.

Usage

solveRIPr2x2PropDiff(thetaA, thetaB, na, nb, propDiff, tol = 1e-12)

Arguments

thetaA, thetaB	numeric in (0, 1), the alternative's proportions.
na	number of observations in group A per data block, one value or one per block.
nb	number of observations in group B per data block, one value or one per block.
propDiff	numeric in (-1, 1), the null difference thetaA - thetaB.
tol	numeric > 0, the tolerance of stats::uniroot(), also kept from the edges of the search interval.

Value

A numeric, nullThetaA.

safestats documentation built on Oct. 5, 2026, 9:07 a.m.