What happens if the trials are not independent?

Sep 27, 2022 ... In more statistical language, we can say that the distribution relies on the values of n and p (the probability of any trial being a success), ... Apr 4, 2018 ... Try rbinom(nrow(df), 1, df$probability) . Since you are simulating only one random binomial number the entire column vector sick becomes equal ... Feb 18, 2012 ... The Binomial Distribution may be more accurate since it dictates the situation to consider both the happening and not-happening outcomes. Samples are drawn from a binomial distribution with specified parameters, n trials and p probability of success where n an integer >= 0 and p is in the ... Mar 13, 2025 ... Swiss mathematician Jakob Bernoulli, in a proof published posthumously in 1713, determined that the probability of k such outcomes in n ... Introduction. A situation in which an experiment (or trial) is repeated a fixed number of times can be modelled, under certain assumptions, by the binomial ... Jul 8, 2016 ... The negative binomial distribution is a discrete probability distribution of the number of successes in a sequence of independent and identically distributed ... Returns the probability of a trial result using a binomial distribution. Syntax: BINOM.DIST.RANGE(trials,probability_s,number_s,[number_s2]) May 16, 2018 ... Poisson-binomial distribution - any existing Stan implementation? · works on the log scale for arithmetic stability · is quadratic in the size ... A binomial experiment takes place when the number of successes is counted in one or more Bernoulli Trials.