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 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 <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, Par. 9.2.

### Examples

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


[Package EQUIVNONINF version 1.0.2 Index]