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
|
rho2 |
upper limit of the hypothetical equivalence
range for |
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
|
rho2 |
upper limit of the hypothetical equivalence
range for |
C1 |
left-hand limit of the critical interval for
the number |
C2 |
right-hand limit of the critical interval for
|
GAM1 |
probability of rejecting the null hypothesis
when it turns out that |
GAM2 |
probability of rejecting the null hypothesis
for |
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, \S
6.6.4.
bi2st(.05,225,119,171, 2/3, 3/2)