bi2st: Critical constants for the exact Fisher type UMPU test for...

In EQUIVNONINF: Testing for Equivalence and Noninferiority

Description

The function computes the critical constants defining the uniformly most powerful unbiased test for equivalence of two binomial distributions with parameters p_1 and p_2 in terms of the odds ratio. Like the ordinary Fisher type test of the null hypothesis p_1 = p_2, the test is conditional on the total number S of successes in the pooled sample.

Usage

bi2st(alpha,m,n,s,rho1,rho2)

Arguments

alpha	significance level
m	size of Sample 1
n	size of Sample 2
s	observed total count of successes
rho1	lower limit of the hypothetical equivalence range for the odds ratio \varrho = \frac{p_1(1-p_2)}{p_2(1-p_1)}
rho2	upper limit of the hypothetical equivalence range for \varrho

Value

alpha	significance level
m	size of Sample 1
n	size of Sample 2
s	observed total count of successes
rho1	lower limit of the hypothetical equivalence range for the odds ratio \varrho = \frac{p_1(1-p_2)}{p_2(1-p_1)}
rho2	upper limit of the hypothetical equivalence range for \varrho
C1	left-hand limit of the critical interval for the number X of successes observed in Sample 1
C2	right-hand limit of the critical interval for X
GAM1	probability of rejecting the null hypothesis when it turns out that X=C_1
GAM2	probability of rejecting the null hypothesis for X=C_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. 6.6.4.

Examples

bi2st(.05,225,119,171, 2/3, 3/2)

Example output

Loading required package: BiasedUrn
 alpha = 0.05    m = 225    n = 119    s= 171    RHO1 = 0.6666667    RHO2 = 1.5 
    C1 = 110    C2 = 113 GAM1 = 0.02202632    GAM2 = 0.6320419

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