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The response variable was a binomial count of the number of Bt-outcrossed and non-outcrossed seeds in individual bolls from non-Bt cotton plants at the edge of monitored fields.
For each outcome, patient and time point, we observed a binomial count of the number of tasks performed correctly, where the total number of appropriate tasks varied across patients for patient history and physical examination.
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Thus, binomial count data were available to quantify the occurrence of infected individuals according to genotype.
In single-threshold measurements, it has been shown by several investigators that the bias can be removed by analyzing the raw measurements in terms of binomial counting statistics, given that the discriminator has only two possible outcomes for each laser pulse (no photons are present, or one or more photons are present).
Specifically, a negative binomial count model was estimated due to overdispersion of total injuries.
We consider the binomial AR(1) model for serially dependent processes of binomial counts.
This Poisson-Gamma structure leads to a negative binomial distribution of the counts x1j among this sample of sites.
An exact test for differences between the T14 and T2 biological replicate samples in each pool of shRNA was performed assuming a negative binomial distribution of the counts [ 45] and a common dispersion estimate.
According to Bross (1954), when the counts are Poisson distributed as in (2) and a+ b is considered fixed, the ratio ϕ= π a/π b is a single parameter of a binomial distribution of the counts as follows: (4) We model ϕ as a random variable generated from an inverted beta distribution as follows: (5) (6) The beta distribution has support on (0,1) and is characterized by two parameters α and β.
Response family was negative binomial for the (overdispersed) count of sexual partners, and binomial for the binary variable coding whether individuals had 2 or more sexual partners in the last year.
The second model is the negative binomial model predicting the count of those adolescents who are not in the 'certain zero group',that is, by checking the number of decayed, missing or filled teeth among those with DMFT>0 or at the number of decayed teeth among those with DT>0, respectively.
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