postmys: Bayesian posterior probability of the alternative hypothesis...

In EQUIVNONINF: Testing for Equivalence and Noninferiority

Description

Evaluation of the integral appearing on the right-hand side of equation (3.6) on p. 38 of Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition

Usage

postmys(n,dq,sd,eps1,eps2,tol)

Arguments

n	sample size
dq	mean within-pair difference observed in the sample under analysis
sd	square root of the sample variance of the within-pair differences
eps1	absolute value of the left-hand limit of the hypothetical equivalence range for δ/σ_D
eps2	right-hand limit of the hypothetical equivalence range for δ/σ_D
tol	tolerance for the error induced through truncating the range of integration on the right

Details

The program uses 96-point Gauss-Legendre quadrature.

Value

n	sample size
dq	mean within-pair difference observed in the sample under analysis
sd	square root of the sample variance of the within-pair differences
eps1	absolute value of the left-hand limit of the hypothetical equivalence range for δ/σ_D
eps2	right-hand limit of the hypothetical equivalence range for δ/σ_D
tol	tolerance for the error induced through truncating the range of integration on the right
PPOST	posterior probability of the set of all (δ,σ_D) such that -\varepsilon_1 < δ/σ_D < \varepsilon_2

Author(s)

Stefan Wellek <[e-mail]>
Peter Ziegler <[e-mail]>

References

Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, Par. 3.2.

Examples

postmys(23,0.16,3.99,0.5,0.5,1e-6)

EQUIVNONINF documentation built on July 12, 2021, 5:08 p.m.