bi2st {EQUIVNONINF} | R Documentation |
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.
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(1-p_2)}{p_2(1-p_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(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 |
Stefan Wellek <stefan.wellek@zi-mannheim.de>
Peter Ziegler <peter.ziegler@zi-mannheim.de>
Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, Par. 6.6.4.
bi2st(.05,225,119,171, 2/3, 3/2)