We illustrate the method with a target distribution that models the hydrogen bonding network using a multinomial distribution.
In the previous study, random contingency tables (rCT) were generated around the sample CT using a multinomial distribution [9].
In each iteration, the (complex) reference distribution is approximated using a simple probability distribution; we illustrate the method by using a multinomial distribution, whose parameters are estimated by maximum likelihood estimation in each iteration, using the conformations generated in the previous iteration.
Fisher's exact t-test using a multinomial distribution was used to check differences in motor performance between the study group and the distribution in the normal population.
This is done separately for each square, using a multinomial distribution, based on the total number of observed cases, Y i =∑ t=1 T Y it, in each square.
The likelihood of the data can then be described using a multinomial distribution with probability parameters p11, p d and p00, respectively.
For genotypes in which both of the parental alleles were observed or less than five reads were aligned, we calculated the probability of a certain read count ratio to result from homozygous or heterozygous genotypes by using a multinomial distribution.
The bivariate model was extended using a multinomial distribution for the cell counts in the 2 x 2 tables, as in the latent class analysis of diagnostic tests (Black 2002).
Subsequent generations were sampled from the previous generation using a multinomial distribution, such that the probability of an individual i in the population being chosen for replication was proportional to e F i. Every 16 generations, a random sample of 500 individuals was taken from the population, recording the number of individuals in the sample with each neutral marker.
To model this assumption in our permutation test, in each round, we permuted tissue labels for each PAS cluster; then, for each gene, the percentages of the permuted PAS were used to represent a multinomial distribution, from which we drew a random sample, scaled by the total gene expression value in each tissue.
