bi1st {EQUIVNONINF} | R Documentation |
Critical constants and power of the UMP test for equivalence of a single binomial proportion to some given reference value
Description
The function computes the critical constants defining the uniformly most powerful (randomized) test
for the problem or
versus
, with
denoting the parameter of
a binomial distribution from which a single sample of size
is available. In the output, one also finds the power
against the alternative that the true value of
falls on the
midpoint of the hypothetical equivalence interval
Usage
bi1st(alpha,n,P1,P2)
Arguments
alpha |
significance level |
n |
sample size |
P1 |
lower limit of the hypothetical equivalence
range for the binomial parameter |
P2 |
upper limit of the hypothetical equivalence
range for |
Value
alpha |
significance level |
n |
sample size |
P1 |
lower limit of the hypothetical equivalence
range for the binomial parameter |
P2 |
upper limit of the hypothetical equivalence
range for |
C1 |
left-hand limit of the critical interval for
the observed 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 |
POWNONRD |
Power of the nonrandomized version of the test against the alternative |
POW |
Power of the randomized UMP test against the
alternative |
Author(s)
Stefan Wellek <stefan.wellek@zi-mannheim.de>
Peter Ziegler <peter.ziegler@zi-mannheim.de>
References
Wellek S: Testing statistical hypotheses of equivalence and noninferiority.
Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, 4.3.
Examples
bi1st(.05,273,.65,.75)