gofind_t {EQUIVNONINF} | R Documentation |
The function computes all quantities required for carrying out the asymptotic test for approximate independence of two categorial variables derived in Par. 9.2 of Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition.
gofind_t(alpha,r,s,eps,xv)
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 \mathbf{π} of true cell probabilities and the associated vector of products of marginal totals |
xv |
row vector of length r * s whose (i-1)s + j-th component is the entry in cell (i,j) of the r * s contingency table under analysis i=1,…,r, j=1,…,s. |
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 \mathbf{π} of true cell probabilities and the associated vector of products of marginal totals |
X(r,s) |
observed cell counts |
DSQ_OBS |
observed value of the squared Euclidean distance |
VN |
square root of the estimated asymtotic variance of √{n}DSQ\_OBS |
CRIT |
upper critical bound to √{n}DSQ\_OBS |
REJ |
indicator of a positive [=1] vs negative [=0] rejection decision to be taken with the data under analysis |
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. 9.2.
xv <- c(8, 13, 15, 6, 19, 21, 31, 7) gofind_t(0.05,2,4,0.15,xv)