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Is standardization necessary for logistic regression?
Standardization isn’t required for logistic regression. The main goal of standardizing features is to help convergence of the technique used for optimization. For example, if you use Newton-Raphson to maximize the likelihood, standardizing the features makes the convergence faster.
How do you find the standardized variable?
Typically, to standardize variables, you calculate the mean and standard deviation for a variable. Then, for each observed value of the variable, you subtract the mean and divide by the standard deviation.
When do you use the log link function?
But if you run a generalized linear model in a more general software procedure (like SAS’s proc genmod or R’s glm), then you must select the link function that works with the distribution in the random components. A natural fit for count variables that follow the Poisson or negative binomial distribution is the log link.
How is the log link exponentiates linear predictors?
The log link exponentiates the linear predictors. It does not log transform the outcome variable. Where μ=predicted value of Y given X, exp (β 0) = the effect on the mean of μ when X=0, and exp (β 1 )= the multiplicative effect on the mean of Y for a one-unit increase in X. e is a constant value of approximately 2.72.
Why do you need to log transform your data?
The reason for log transforming your data is not to deal with skewness or to get closer to a normal distribution; that’s rarely what we care about. Validity, additivity, and linearity are typically much more important. The reason for log transformation is in many settings it should make additive and linear models make more sense.
Can a generalized linear model have a link function?
“identity” link for data that is far from zero. If you use the identity link, which is basically no link function, your model will be linear, not log-linear, so your slope estimate will once again be additive. Technically we would say we fitted a Generalized Linear Model with Poisson errors and a log link function.