asycovTkTl | R Documentation |
This function computes the asymptotic covariance between T_k and T_l values which is used in the computation of the asymptotic variance of Cuzick and Edwards T_{comb} test, which is a linear combination of some T_k tests. The limit is as n_1 goes to infinity.
The argument, n_1, is the number of cases (denoted as n1
as an argument).
The number of cases are denoted as n_1 and number of controls as n_0 in this function
to match the case-control class labeling,
which is just the reverse of the labeling in \insertCitecuzick:1990;textualnnspat.
The logical argument nonzero.mat
(default=TRUE
) is for using the A matrix if FALSE
or just the matrix of nonzero
locations in the A matrix (if TRUE
) in the computations.
See page 80 of (\insertCitecuzick:1990;textualnnspat) for more details.
asycovTkTl(dat, n1, k, l, nonzero.mat = TRUE, ...)
dat |
The data set in one or higher dimensions, each row corresponds to a data point. |
n1 |
Number of cases |
k, l |
Integers specifying the number of NNs (of subjects i and m in a_{ij}(k) a_{mj}(l)). |
nonzero.mat |
A logical argument (default is |
... |
are for further arguments, such as |
Returns the asymptotic covariance between T_k and T_l values.
Elvan Ceyhan
covTkTl
, covTcomb
, and Ntkl
n<-20 #or try sample(1:20,1) 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) k<-1 #try also 2,3 or sample(1:5,1) l<-1 #try also 2,3 or sample(1:5,1) c(k,l) asycovTkTl(Y,n1,k,l) asycovTkTl(Y,n1,k,l,nonzero.mat = FALSE) asycovTkTl(Y,n1,k,l,method="max")
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