Generalized Linear Model
Full Form of GLM
What is GLM?
A Generalized Linear Model (GLM) is a flexible statistical framework that extends ordinary linear regression to accommodate response variables that have non-normal error distributions. It was developed by John Nelder and Robert Wedderburn in 1972 and is widely used in fields such as biostatistics, econometrics, and machine learning. In India, GLMs are taught in postgraduate statistics and data science programs, and appear in competitive exams like GATE Statistics (ST), CSIR NET Mathematical Sciences, and IIT JAM Statistics. Researchers use GLMs to analyze binary outcomes (logistic regression), count data (Poisson regression), and continuous data with skewed distributions. The model links the mean of the response variable to a linear combination of predictors through a link function (e.g., logit, log, identity). This allows analysts to model diverse data types within a unified framework. Indian institutions like ISI Kolkata and IITs frequently employ GLMs in environmental and health studies. For students preparing for data science roles or academic research, understanding GLM is essential because it forms the basis for advanced models like mixed-effects models and generalized additive models.
GLM का फुल फॉर्म
सामान्यीकृत रैखिक मॉडल
Example
The insurance company used a GLM with a Poisson distribution to predict the number of claims filed per policyholder.