Description Usage Arguments Details Value Note Author(s) References Examples
Implementation of a generalized version of the signedrank test for equivalence allowing for arbitrary patterns of ties between the withinsubject differences. For details see Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition, Par. 5.5.
1  srktie_d(n,alpha,eps1,eps2,d)

n 
sample size 
alpha 
significance level 
eps1 
absolute value of the lefthand limit of the hypothetical equivalence range for q_+/(1q_0)  1/2 
eps2 
righthand limit of the hypothetical equivalence range for q_+/(1q_0)  1/2 
d 
row vector with the intraindividual differences for all n pairs as components 
Notation: q_+ and q_0 stands for the functional defined by q_+ = P[D_i+D_j>0] and q_0 = P[D_i+D_j=0], respectively, with D_i and D_j as the intraindividual differences observed in two individuals independently selected from the underlying bivariate population.
n 
sample size 
alpha 
significance level 
eps1 
absolute value of the lefthand limit of the hypothetical equivalence range for q_+/(1q_0)  1/2 
eps2 
righthand limit of the hypothetical equivalence range for q_+/(1q_0)  1/2 
U_pl 
observed value of the Ustatistics estimator of q_+ 
U_0 
observed value of the Ustatistics estimator of q_0 
UAS_PL 
observed value of U_+/(1U_0) 
TAUHAS 
square root of the estimated asymtotic variance of √{n}U_+/(1U_0) 
CRIT 
upper critical bound to √{n}U_+/(1U_0)  1/2  (\varepsilon_2\varepsilon_1)/2/\hat{τ} 
REJ 
indicator of a positive [=1] vs negative [=0] rejection decision to be taken with the data under analysis 
The function srktie_d can be viewed as the paireddata analogue of mwtie_xy
Stefan Wellek <[email protected]>
Peter Ziegler <[email protected]>
Wellek S: Testing statistical hypotheses of equivalence and noninferiority. Second edition. Boca Raton: Chapman & Hall/CRC Press, 2010, Par. 5.5.
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