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for some functions ai(Φ) = Φ/wi, b and ci = c(yi, Φ/wi), where wi is a known weight for each observation. Hereby, θi is called canonical parameter whereas Φ is called the dispersion parameter.
Note: For most models, the weight is the same for each i (that is, wi = 1 for all i) and then the scaling simpli?es to ai(Φ) = Φ), whereas ci(yi, Φ) becomes just c(yi, Φ) and (1) simpli?es to
It can be shown from a standard theory for these distributions that
Population averaged models are the models for kind of clustered data in which the marginal expectation of response variable is the main focus of interest. An alternative approach
what is goal post mentality?
Bayesian confidence interval : An interval of the posterior distribution which is so that the density of it at any point inside the interval is greater than that of the density at
We are installing a router for our network. We believe that the time between the arrival of packets will be exponentially distributed with parameter R = 2 packets/second, and th
Mortality odds ratio is the ratio equivalent to the odds ratio used in case-control studies where the equivalent of the cases are deaths from the cause of interest and the equival
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A term usually used for unobserved individual heterogeneity. Such variation is of main concern in the medical statistics particularly in the analysis of the survival times where ha
The contingency tables in which the row and column both the categories follow a natural order. An instance for this might be, drug toxicity ranging from mild to severe, against the
Chebyshev's inequality: A statement about the proportion of the observations which fall within some number of the standard deviations of the mean for any of the probability distri
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