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Introduction to Generalized Linear Models (GLM) We introduce the notion of GLM as an extension of the traditional normal-theory-based linear regression models.
This will be very helpful in order to gain a general insight into all discussions till the end of this course since the speci?c models that will be discussed in details from now all, will turn out to be speci?c GLM. We already mentioned in the introductory lecture that when dealing with categorical data as output, it is not wise to model it (or for that matter, the probabilities for its particular categories) by using linear models. This is why one has tried to extend the Linear Models theory to make it suitable for such situations. There are at least two important aspects of the extension of the traditional normal- theory based linear regression model.
The set of generalized linear models is indeed quite large. These include: classical linear models with normal errors, logistic and probit models for binary categorical data, and log- linear models for multinomial data. Many other statistical models can also be shown to bea particular GLM after choosing suitably the link function and the response probability distribution.
Codominance : The relationship between genotype at the locus and a phenotype to which it in?uences. If an individuals with heterozygote (such as, AB) genotype is phenotypically dif
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Hazard function : The risk which an individual experiences an event in a small time interval, given that the individual has survived up to the starting of the interval. It is th
Categorizing continuous variables : A practice which involves the conversion of the continuous variables into the series of the categories, which is common in the field of medical
The function of a variable t which, when extended formally as a power series in t, yields factorial moments as the coefficients of the respective powers. If the P(t) is probability
Informed consent: The consent needed from each potential participant former to random assignment in the clinical trial as speci?ed in the year 1996 version of Helsinki declaration
cholscores Treatment income ($000) Patient ID low Income? 0.6 Old 21.3 2 Yes 0.17 Old 27.2 13 Yes 0.69 New 27.1 16 Yes 1.09 Old 94.8
Regression through the origin : In some of the situations a relationship between the two variables estimated by the regression analysis is expected to pass by the origin because th
It is the survey which is carried out in Great Britain on a continuous basis since 1971. About 100 000 households are included in this sample every year. The main goal of the surve
replacement problem
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