EV.Tcomb: Expected Value for Cuzick & Edwards T_{comb} Test Statistic

In nnspat: Nearest Neighbor Methods for Spatial Patterns

Expected Value for Cuzick & Edwards T_{comb} Test Statistic

Description

This function computes the expected value of Cuzick & Edwards T_{comb} test statistic in disease clustering, where T_{comb} is a linear combination of some T_k tests.

The argument, n_1, is the number of cases (denoted as n1 as an argument). The number of cases is denoted as n_1 to match the case-control class labeling, which is just the reverse of the labeling in \insertCitecuzick:1990;textualnnspat.

The argument klist is the vector of integers specifying the indices of the T_k values used in obtaining the T_{comb}.

The argument sig is the covariance matrix of the vector of T_k values used in Tcomb, and can be computed via the the covTcomb function.

See page 87 of (\insertCitecuzick:1990;textualnnspat) for more details.

Usage

EV.Tcomb(n1, n, klist, sig)

Arguments

n1	Number of cases
n	A positive integer representing the number of points in the data set
klist	list of integers specifying the indices of the T_k values used in obtaining the T_{comb}.
sig	The covariance matrix of the vector of T_k values used in Tcomb

Value

Returns the expected value of the T_{comb} test statistic

Author(s)

Elvan Ceyhan

References

\insertAllCited

See Also

Tcomb, and ZTcomb

Examples

n<-20  #or try sample(1:20,1) #try also n<-50, 100
Y<-matrix(runif(3*n),ncol=3)
cls<-sample(0:1,n,replace = TRUE)  #or try cls<-rep(0:1,c(10,10))
n1<-sum(cls==1)

kl<-sample(1:5,3) #try also sample(1:5,2)
kl
sig<-covTcomb(Y,n1,kl)
EV.Tcomb(n1,n,kl,sig)

nnspat documentation built on Aug. 30, 2022, 9:06 a.m.