cf_reh_midp {EQUIVNONINF} | R Documentation |
Implementation of the interval estimation procedure described on pp. 306-7 of Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition.
cf_reh_midp(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 mid-p algorithm serves as a device for reducing the conservatism inherent in exact confidence estimation procedures for parameters of discrete distributions.
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_midp |
lower (1-α)-confidence bound to REH based on conditional mid-p-values |
C_r_midp |
upper (1-α)-confidence bound to REH based on conditional mid-p-values |
Stefan Wellek <stefan.wellek@zi-mannheim.de>
Peter Ziegler <peter.ziegler@zi-mannheim.de>
Agresti A: Categorical data Analysis (2nd edn). Hoboken, NJ: Wiley, Inc., 2002, Section 1.4.5.
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_midp(137,34,8,.05,.1,1E-4,25)