Calculate the likelihood ratio test statistic for general two-way contingency tables.
tab consists of counts from K populations (rows) in C categories. The likelihood ratio test statistic is computed as
2 ∑_ij O_ij log(p_ij/p_0j),
where O_ij is the observed number of counts in the ith row and jth column of
tab, p_ij = O_ij/(∑_j O_ij) is the unconstrained estimate of the proportion of category j in population i, and p_0j = ∑_i O_ij / ∑_ij O_ij is the estimate of this proportion under H_0 that the populations have indentical proportions in each category. If any column has only zeros it is removed before calculating the LRT statistic.
The calculated value of the LRT statistic.
1 2 3 4 5 6
Loading required package: rstan Loading required package: ggplot2 Loading required package: StanHeaders rstan (Version 2.16.2, packaged: 2017-07-03 09:24:58 UTC, GitRev: 2e1f913d3ca3) For execution on a local, multicore CPU with excess RAM we recommend calling rstan_options(auto_write = TRUE) options(mc.cores = parallel::detectCores()) A B C D pop1 5 3 0 3 pop2 4 10 2 5  4.187832
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