AcceptAffin {CooccurrenceAffinity}

Calculates the "Acceptability Function" used in defining Blaker's (2000) Acceptability Interval and computing the latter in the function AcceptAffCI().

Description

This function calculates the "Acceptability Function" of Blaker (2000, Thm.1, p.785) for the log-odds parameter alpha in the Extended Hypergeometric distribution.

Usage

AcceptAffin(x, marg, alph)

Arguments

x

integer co-occurrence count that should properly fall within the closed interval [max(0,mA+mB-N), min(mA,mB)]

marg

a 3-entry integer vector (mA,mB,N) consisting of the first row and column totals and the table total for a 2x2 contingency table

alph

a vector of (one or more) real-valued "alpha" values, where alpha is the log-odds parameter in the Extended Hypergeometric distribution

Details

This function calculates the "Acceptability Function" of Blaker (2000, Thm.1, p.785) for the log-odds parameter alpha in the Extended Hypergeometric distribution, a function from which the "Acceptability Interval" is calculated by another CooccurrenceAffinity package function AcceptAffCI().

Value

This function returns the "Acceptability Function" that is later used by another function AcceptAffCI() to compute "Acceptability Interval".

Author(s)

Eric Slud

References

Blaker, H. (2000), “Confidence curves and improved exact confidence intervals for discrete distributions", Canadian Journal of Statistics 28, 783-798.