gofind_t: Establishing approximate independence in a two-way...

In EQUIVNONINF: Testing for Equivalence and Noninferiority

Description

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.

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 \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.

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 \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

Author(s)

Stefan Wellek <[e-mail]>
Peter Ziegler <[e-mail]>

References

Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, Par. 9.2.

Examples

xv <- c(8, 13, 15, 6,  19, 21, 31, 7) 
gofind_t(0.05,2,4,0.15,xv)

Example output

Loading required package: BiasedUrn
 n = 120   alpha = 0.05   eps = 0.15   r = 2   s = 4   X(r,s) : 8 13 15 6 19 21 31 7   DSQ_OBS = 0.0009201389   VN = 0.01918986   CRIT = 0.01961857   REJ = 1

EQUIVNONINF documentation built on July 12, 2021, 5:08 p.m.