funs.covtct | R Documentation |
Four functions: cov.tctI
, cov.tctIII
, cov.tct3
and cov.tctIV
.
These functions return the covariances between between entries in the TCT for the types I, III, and IV
cell-specific tests in matrix form which is of dimension k^2 \times k^2.
The covariance matrix entries are cov(T_{ij},T_{kl}) when T_{ij} values are by default corresponding to
the row-wise vectorization of TCT.
The argument CovN
must be the covariance between N_{ij} values which are obtained from the NNCT by row-wise
vectorization.
The functions cov.tctIII
and cov.tct3
are equivalent.
These covariances are valid under RL or conditional on Q and R under CSR.
See also (\insertCiteceyhan:jkss-posthoc-2017;textualnnspat).
cov.tctI(ct, CovN) cov.tctIII(ct, CovN) cov.tct3(ct, CovN) cov.tctIV(ct, CovN)
ct |
A nearest neighbor contingency table |
CovN |
The k^2 \times k^2 covariance matrix of row-wise vectorized cell counts of NNCT, |
Each of these functions returns a k^2 \times k^2 covariance matrix, whose entries are the covariances of
the entries in the TCTs for the corresponding type I-IV cell-specific test.
The row and column names are inherited from ct
.
Elvan Ceyhan
cov.tct
and cov.nnct
n<-20 #or try sample(1:20,1) Y<-matrix(runif(3*n),ncol=3) ipd<-ipd.mat(Y) cls<-sample(1:2,n,replace = TRUE) #or try cls<-rep(1:2,c(10,10)) ct<-nnct(ipd,cls) W<-Wmat(ipd) Qv<-Qvec(W)$q Rv<-Rval(W) varN<-var.nnct(ct,Qv,Rv) covN<-cov.nnct(ct,varN,Qv,Rv) cov.tctI(ct,covN) cov.tctIII(ct,covN) cov.tctIV(ct,covN)
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