| cov.tct {nnspat} | R Documentation |
Covariance Matrix of the Entries of the Type I-IV TCTs
Description
Returns the covariance matrix of the entries T_{ij}
for i,j=1,\ldots,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 (Ceyhan (2017)).
Usage
cov.tct(ct, covN, type = "III")
Arguments
ct |
A nearest neighbor contingency table |
covN |
The |
type |
The type of the cell-specific test, default= |
Value
The k^2 \times k^2 covariance matrix of
the entries T_{ij} for i,j=1,\ldots,k in the Type I-IV TCTs
Author(s)
Elvan Ceyhan
References
Ceyhan E (2017). “Cell-Specific and Post-hoc Spatial Clustering Tests Based on Nearest Neighbor Contingency Tables.” Journal of the Korean Statistical Society, 46(2), 219-245.
See Also
Examples
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)