k items selected from the class with size \(n_1\)Returns the ratio \(n_1(n_1-1) \cdots (n_1-(k-1))/(n(n-1) \cdots (n-(k-1))\),
which is the probability that the k selected
objects are from class 1 with size \(n_1\) (denoted as n1 as an argument)
and the total data size is n.
This probability is valid under RL or CSR.
This function computes the \(p_k\) value which is required in the computation of the variance of Cuzick and Edwards \(T_k\) test. \(p_k\) is defined as the ratio \(n_1(n_1-1)\cdots (n_1-(k-1))/(n(n-1)\cdots (n-(k-1))\).
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 cuzick:1990;textualnnspat.
See (cuzick:1990;textualnnspat) for more details.
pk(n, n1, k)pk(n, n1, k)
Returns the probability of k items selected
from n items are from the class of interest
(i.e., from the class whose size is \(n_1\))
Returns the \(p_k\) value. See the description.
A positive integer representing the number of points in the data set
Number of cases
Integer specifying the number of NNs (of subject \(i\))
Elvan Ceyhan
p11 and p12 etc.
asyvarTk, varTk, and varTkaij