EV.Tkinv: Expected Value of Cuzick and Edwards T_k^{inv} Test statistic

In nnspat: Nearest Neighbor Methods for Spatial Patterns

Expected Value of Cuzick and Edwards T_k^{inv} Test statistic

Description

This function computes the expected value of Cuzick and Edwards T_k^{inv} test statistic which is based on the sum of number of cases closer to each case than the k-th nearest control to the case.

The number of cases are denoted as n_1 (denoted as n1 as an argument) and number of controls as n_0 for both functions (denoted as n0 as an argument), to match the case-control class labeling, which is just the reverse of the labeling in \insertCitecuzick:1990;textualnnspat.

See the function ceTkinv for the details of the T_k^{inv} test.

See (\insertCitecuzick:1990;textualnnspat) and references therein.

Usage

EV.Tkinv(n1, n0, k)

Arguments

n1, n0	The number of cases and controls
k	Integer specifying the number of the closest controls to subject i.

Value

The expected value of Cuzick and Edwards T_k^{inv} test statistic for disease clustering

Author(s)

Elvan Ceyhan

References

\insertAllCited

See Also

ceTkinv, ceTrun, and EV.Trun

Examples

n1<-20
n0<-25
k<-2 #try also 2, 3

EV.Tkinv(n1,n0,k)

EV.Tkinv(n1,n0,k=1)
EV.Trun(n1,n0)

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