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A simulation analysis was used to show that the observed relative frequency of taxa within pats does not differ from that expected by chance if colonisation is a random binomial event in which each species colonises a pat independently of all other species.
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This analysis was undertaken using a binomial model in which the odds of the event (e.g., death) are calculated for each study and study arm level information is incorporated in the model.
For example, prices could be assumed to follow a binomial process in which the expected stock return, variance of stock return and/or riskless rate of interest could be dependent on prior events.
A simple way to generate a set of Arrow-Debreu prices rests on the assumption that stock market returns follow a binomial process16 in which there are two possible states of the world in each of a number of periods.
Rice TARs were scored using a method based on the binomial theorem in which at least five consecutive probes whose intensities lie in the 80th percentile were identified [24].
We conclude that the zero-inflated negative binomial (ZINB) model, in which the parent distribution is specified to follow a negative binomial distribution as in equation (6), is the best fit for our data.
The rate of hypoglycemic episodes during the exposure to trial insulin was estimated by a negative binomial regression model, in which the number of episodes per patient year of exposure (events per patient year) was adjusted by country, sex, age, and A1C at randomization (17).
The exacerbation or flare probabilities control binomial flare events which are accumulated to the Kaplan Meier curves in Figure 1.
In the clinical trial literature, Chuang-Stein [ 2] proposed using the beta-binomial model to combine binomial event rates across multiple studies in an article titled "An application of the beta-binomial model to combine and monitor medical event rates in clinical trials".
Richard Anthony Salisbury had published this binomial name in 1796, which was followed by Otto Kuntze, and then Karel Domin in 1921.
Among the observed 22 recombination events, the number of cases in which both parental strains were isolated from a common host, 13, was not significantly larger than the cases in which isolates were from different hosts, 9 (Binomial test, P = 0.524), suggesting that the host of isolation should not necessarily be the same in which the recombination event took place.
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