Description Usage Arguments Details Value Author(s) References Examples
The binomial scan statistic evaluate the statistic which compares the node attribute within the subgraph with that outside the subgraph while the node attribute follows the binomial distribution.
1 | binom.stat(obs, pop, zloc)
|
obs |
Numeric vector of observation values. |
pop |
Numeric vector of population values. |
zloc |
Numeric vector of selected nodes. |
A network with interested attributes is denoted as G=(V,E,X), where X=(x_1,…,x_{|V|}) follows a defined distribution. Suppose a subgraph, Z, is selected.
λ_A(Z) =n_z \ln\big(\frac{p_{11}}{p_0}\big)+ (N_z-n_z) \ln\big(\frac{1-p_{11}}{1-p_0}\big)+(n_G-n_z) \ln\big(\frac{p_{10}}{p_0}\big) +[(N_G-N_z)-(n_G-n_z)] \ln\big(\frac{1-p_{10}}{1-p_0}\big),
where p_0=n_G/N_G, p_{10}=(n_G-n_z)/(N_G-N_z), and p_{11}=n_z/N_z. In addition, N_G and n_G are population sizes and number of successful cases of whole graph G. N_Z and n_Z are expressed in the same way in the selected subgraph Z.
Three values will be returned. The first value is test statistic. The second is the estimated means which estimated outside the selected nodes. The third is estimated means estimated within the selected nodes.
Taichi Wang <taichi43@stat.sinica.edu.tw>
Kulldorff, M. (1997). A spatial scan statistic. Communications in Statistics-Theory and methods, 26(6), 1481–1496.
1 | binom.stat(obs=rbinom(n=100, size=10000, prob=0.0001),pop=rep(10000,100),zloc=1:5)
|
[1] 1.0000000000 0.0001010526 0.0000600000
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.