EV.tct {nnspat}

Expected Values of the Types I-IV cell-specific tests

Description

Returns a matrix of same dimension as, ct, whose entries are the expected values of the T_{ij} values which are the Types I-IV cell-specific test statistics (i.e., T^I_{ij}-T^{IV}_{ij}) under RL or CSR. The row and column names are inherited from ct. The type argument specifies the type of the cell-specific test among the types I-IV tests.

See also (Ceyhan (2017)) and the references therein.

Usage

EV.tct(ct, type = "III")

Arguments

ct

A nearest neighbor contingency table

type

The type of the cell-specific test, default="III". Takes on values "I"-"IV" (or equivalently 1-4, respectively.

Value

A matrix of the expected values of Type I-IV cell-specific tests.

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

EV.tctI, tct, and EV.nnct

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)

EV.tct(ct,2)
EV.tct(ct,"II")
EV.tctI(ct)

#cls as a factor
na<-floor(n/2); nb<-n-na
fcls<-rep(c("a","b"),c(na,nb))
ct<-nnct(ipd,fcls)
EV.tct(ct,2)

#############
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)

EV.tct(ct,2)

ct<-matrix(c(0,10,5,5),ncol=2)
EV.tct(ct,2)