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

Description Usage Arguments Value Author(s) References Examples

View source: R/bi2st.R

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

1
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 <[email protected]>
Peter Ziegler <[email protected]>

References

Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, Par. 6.6.4.

Examples

1
bi2st(.05,225,119,171, 2/3, 3/2)

EQUIVNONINF documentation built on Sept. 19, 2017, 5:06 p.m.