View source: R/NNCTFunctions.R
cov.tct | R Documentation |
Returns the covariance matrix of the entries T_{ij} for i,j=1,…,k in the TCT for the types I, III,
and IV cell-specific tests. The covariance matrix is of dimension k^2 \times k^2 and its 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 matrix of 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.tct(ct, covN, type = "III")
ct |
A nearest neighbor contingency table |
covN |
The k^2 \times k^2 covariance matrix of row-wise vectorized cell counts of NNCT, |
type |
The type of the cell-specific test, default= |
The k^2 \times k^2 covariance matrix of the entries T_{ij} for i,j=1,…,k in the Type I-IV TCTs
Elvan Ceyhan
cov.nnct
and cov.nnsym
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)$q Rv<-Rval(W) varN<-var.nnct(ct,Qv,Rv) covN<-cov.nnct(ct,varN,Qv,Rv) cov.tct(ct,covN,type=1) cov.tct(ct,covN,type="I") cov.tct(ct,covN,type="II") cov.tct(ct,covN,type="III") cov.tct(ct,covN,type="IV") cov.tctI(ct,covN) cov.tct(ct,covN) cov.tctIII(ct,covN) cov.tct3(ct,covN) ############# n<-40 Y<-matrix(runif(3*n),ncol=3) ipd<-ipd.mat(Y) cls<-sample(1:4,n,replace = TRUE) #or try cls<-rep(1:2,c(10,10)) ct<-nnct(ipd,cls) W<-Wmat(ipd) Qv<-Qvec(W)$q Rv<-Rval(W) varN<-var.nnct(ct,Qv,Rv) covN<-cov.nnct(ct,varN,Qv,Rv) cov.tct(ct,covN,type=3) cov.tct(ct,covN,type="III") cov.tctIII(ct,covN) cov.tct3(ct,covN)
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