gofind_t {EQUIVNONINF} | R Documentation |
Establishing approximate independence in a two-way contingency table: Test statistic and critical bound
Description
The function computes all quantities required for carrying out the asymptotic test
for approximate independence of two categorial variables derived in 9.2 of
Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition.
Usage
gofind_t(alpha,r,s,eps,xv)
Arguments
alpha |
significance level |
r |
number of rows of the contingency table under analysis |
s |
number of columns of the contingency table under analysis |
eps |
margin to the Euclidean distance between the vector |
xv |
row vector of length |
Value
n |
size of the sample to which the input table relates |
alpha |
significance level |
r |
number of rows of the contingency table under analysis |
s |
number of columns of the contingency table under analysis |
eps |
margin to the Euclidean distance between the vector |
X(r , s) |
observed cell counts |
DSQ_OBS |
observed value of the squared Euclidean distance |
VN |
square root of the estimated asymtotic variance of |
CRIT |
upper critical bound to |
REJ |
indicator of a positive [=1] vs negative [=0] rejection decision to be taken with the data under analysis |
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, 9.2.
Examples
xv <- c(8, 13, 15, 6, 19, 21, 31, 7)
gofind_t(0.05,2,4,0.15,xv)