# funsN_I_II: Correction Matrices for the NNCT entries In nnspat: Nearest Neighbor Methods for Spatial Patterns

## Description

Two functions: nnct.cr1 and nnct.cr1.

Each function yields matrices which are used in obtaining the correction term to be added to the usual Chi-Square test of contingency tables (i.e. Pielou's test) applied on NNCTs to obtain types I and II overall tests. The output contingency tables are to be row-wise vectorized to obtain N_I and N_{II} vectors. See Sections 3.1 and 3.2 in (\insertCiteceyhan:SJScorrected2010;textualnnspat) or Sections 3.5.1 and 3.5.2 in (\insertCiteECarXivCorrected:2008;textualnnspat) for more details.

## Usage

 1 2 3 nnct.cr1(ct) nnct.cr2(ct) 

## Arguments

 ct A nearest neighbor contingency table

## Value

Both functions return a k \times k contingency table which is to be row-wise vectorized to obtain N_I and N_{II} vectors which are used in the correction summands to obtain types I and II overall tests from Pielou's test of segregation. See the description above for further detail.

Elvan Ceyhan

## References

\insertAllCited

correct.cf1 and correct.cf2
  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 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) #correction type 1 ct1<-nnct.cr1(ct) #correction type 2 ct2<-nnct.cr2(ct) ct ct1 ct2