EQUIVNONINF (version 1.0.2)

bi2dipow: Exact rejection probability of the asymptotic test for equivalence of two unrelated binomial proportions with respect to the difference of their expectations at any nominal level under an arbitrary parameter configuration

Description

The program computes exact values of the rejection probability of the asymptotic test for equivalence in the sense of \(-\delta_1 < p_1-p_2 < \delta_2\), at any nominal level \(\alpha_0\). [The largest \(\alpha_0\) 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 \(\alpha_0\) 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

References

Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, \(\S\) 6.6.6.

Examples

# NOT RUN {
bi2dipow(0.0228,50,50,0.20,0.20,0.50,0.50)
# }