cf_reh_exact {EQUIVNONINF} | R Documentation |
Implementation of the interval estimation procedure described on pp. 305-6 of Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition.
cf_reh_exact(X1,X2,X3,alpha,SW,TOL,ITMAX)
X1 |
count of homozygotes of the first kind [<-> genotype AA] |
X2 |
count of heterozygotes [<-> genotype AB] |
X3 |
count of homozygotes of the second kind [<-> genotype BB] |
alpha |
1 - confidence level |
SW |
width of the search grid for determining an interval covering the parameter point at which the conditional distribution function takes value α and 1-α, respectively |
TOL |
numerical tolerance to the deviation between the computed confidence limits and their exact values |
ITMAX |
maximum number of interval-halving steps |
The program exploits the structure of the family of all genotype distributions, which is 2-parameter exponential with \log(REH) as one of these parameters.
X1 |
count of homozygotes of the first kind [<-> genotype AA] |
X2 |
count of heterozygotes [<-> genotype AB] |
X3 |
count of homozygotes of the second kind [<-> genotype BB] |
alpha |
1 - confidence level |
SW |
width of the search grid for determining an interval covering the parameter point at which the conditional distribution function takes value α and 1-α, respectively |
TOL |
numerical tolerance to the deviation between the computed confidence limits and their exact values |
ITMAX |
maximum number of interval-halving steps |
C_l_exact |
exact conditional lower (1-α)-confidence bound to REH |
C_r_exact |
exact conditional upper (1-α)-confidence bound to REH |
Stefan Wellek <stefan.wellek@zi-mannheim.de>
Peter Ziegler <peter.ziegler@zi-mannheim.de>
Wellek S, Goddard KAB, Ziegler A: A confidence-limit-based approach to the assessment of Hardy-Weinberg equilibrium. Biometrical Journal 52 (2010), 253-270.
Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, Par. 9.4.3.
cf_reh_exact(34,118,96,.05,.1,1E-4,25)