Glm - PSYCHOLOGICAL STATISTICS

Learning Regression Coefficient Extraction from GLMs in R with glm()

Understanding Generalized Linear Models and the Significance of Coefficients The glm() function in R serves as the foundational tool for fitting Generalized Linear Models (GLMs). This powerful statistical framework extends traditional linear regression to accommodate response variables with error distribution models other than a simple normal distribution. Consequently, glm() is indispensable for fitting a diverse […]

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Learning Generalized Linear Models: Using the `predict()` Function with `glm()` in R

Mastering the Foundation: The Role of glm() and predict() The glm() function is the cornerstone of advanced statistical modeling within the R environment, designed specifically for fitting Generalized Linear Models (GLMs). Unlike standard Ordinary Least Squares (OLS) regression, which assumes a normal distribution for the errors, GLMs provide a robust framework capable of modeling response

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Understanding Null and Residual Deviance in Generalized Linear Models

When constructing statistical models, particularly those falling under the umbrella of a Generalized Linear Model (GLM)—such as logistic regression or Poisson regression—analysts must assess how well the chosen model describes the observed data. Statistical software provides two essential metrics for this assessment: the null deviance and the residual deviance. These values are paramount for determining

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Understanding and Calculating R-Squared for Generalized Linear Models (GLMs) in R

Understanding R-Squared in Linear Models When constructing a linear regression model, the standard measure of goodness-of-fit is R-squared, also formally known as the coefficient of determination. This widely adopted statistic provides an intuitive assessment by quantifying the proportion of the total variance in the dependent variable that is statistically explained by the set of independent

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