Description Usage Arguments Value Author(s) References Examples
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.
1  bi2st(alpha,m,n,s,rho1,rho2)

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(1p_2)}{p_2(1p_1)} 
rho2 
upper limit of the hypothetical equivalence range for \varrho 
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(1p_2)}{p_2(1p_1)} 
rho2 
upper limit of the hypothetical equivalence range for \varrho 
C1 
lefthand limit of the critical interval for the number X of successes observed in Sample 1 
C2 
righthand 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 
Stefan Wellek <[email protected]>
Peter Ziegler <[email protected]>
Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, Par. 6.6.4.
1  bi2st(.05,225,119,171, 2/3, 3/2)

Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.