bi2dipow: Exact rejection probability of the asymptotic test for...

In EQUIVNONINF: Testing for Equivalence and Noninferiority

Description

The program computes exact values of the rejection probability of the asymptotic test for equivalence in the sense of -δ_1 < p_1-p_2 < δ_2, at any nominal level α_0. [The largest α_0 for which the test is valid in terms of the significance level, can be computed by means of the program bi2diffac.]

Usage

bi2dipow(alpha0,m,n,del1,del2,p1,p2)

Arguments

alpha0	nominal significance level
m	size of Sample 1
n	size of Sample 2
del1	absolute value of the lower limit of the hypothetical equivalence range for p_1-p_2
del2	upper limit of the hypothetical equivalence range for p_1-p_2
p1	true value of the success probability in Population 1
p2	true value of the success probability in Population 2

Value

alpha0	nominal significance level
m	size of Sample 1
n	size of Sample 2
del1	absolute value of the lower limit of the hypothetical equivalence range for p_1-p_2
del2	upper limit of the hypothetical equivalence range for p_1-p_2
p1	true value of the success probability in Population 1
p2	true value of the success probability in Population 2
POWEX0	exact rejection probability under (p_1,p_2) of the test at nominal level α_0 for equivalence of two binomial distributions with respect to the difference of the success probabilities
ERROR	error indicator answering the question of whether or not the sufficient condition for the correctness of the result output by the program, was satisfied

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. 6.6.6.

Examples

bi2dipow(0.0228,50,50,0.20,0.20,0.50,0.50)

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