EV.Tkinv

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 <code>k</code>-th nearest control to the case.
The number of cases are denoted as \(n_1\) (denoted as <code>n1</code> as an argument)
and number of controls as \(n_0\) for both functions (denoted as <code>n0</code> as an argument),
to match the case-control class labeling,
which is just the reverse of the labeling in cuzick:1990;textualnnspat.
See the function <code>ceTkinv</code> for the details of the \(T_k^{inv}\) test.
See (cuzick:1990;textualnnspat) and references therein.

Contains the functions for testing the spatial patterns (of segregation, spatial symmetry,
association, disease clustering, species correspondence, and reflexivity) based on nearest neighbor relations,
especially using contingency tables such as
nearest neighbor contingency tables (Ceyhan (2010) <doi:10.1007/s10651-008-0104-x> and
Ceyhan (2017) <doi:10.1016/j.jkss.2016.10.002> and references therein),
nearest neighbor symmetry contingency tables (Ceyhan (2014) <doi:10.1155/2014/698296>),
species correspondence contingency tables and reflexivity contingency tables (Ceyhan (2018)
<doi:10.2436/20.8080.02.72> for two (or higher) dimensional data.
The package also contains functions for generating patterns of segregation, association,
uniformity in a multi-class setting (Ceyhan (2014) <doi:10.1007/s00477-013-0824-9>),
and various non-random labeling patterns for disease clustering
in two dimensional cases (Ceyhan (2014)
<doi:10.1002/sim.6053>), and for visualization of all these patterns
for the two dimensional data.
The tests are usually (asymptotic) normal z-tests or chi-square tests.

Elvan Ceyhan

nnspat

Nearest Neighbor Methods for Spatial Patterns

EV.Tkinv function

<dl><dt>n1, n0</dt>
<dd>The number of cases and controls</dd>
<dt>k</dt>
<dd>Integer specifying the number of the closest controls to subject \(i\).</dd></dl>

Arguments

Author

Expected Value of Cuzick and Edwards \(T_k^{inv}\) Test statistic — EV.Tkinv

<dl>

<dt>n1, n0</dt>
<dd>The number of cases and controls</dd>


<dt>k</dt>
<dd>Integer specifying the number of the closest controls to subject \(i\).</dd>

</dl>

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

Description

Usage

Value

Arguments

Author

References

See Also

Examples