3 D Statistical Learning

Making Statistical Concepts Accessible – Edition 11: An Introduction to Generalized Linear Models

In our previous editions, we referred to the variable of interest that we aim to explain or predict as the response, outcome, or dependent variable. In classical linear regression analysis, this dependent variable is typically…

Making Statistical Concepts Accessible – Edition 12: Understanding Logistic Regression

Logistic regression is a statistical method used when the response variable is binary. It is widely applied for both prediction and inference, making it a versatile tool across industries. Key Applications of Logistic Regression 1.…

Making Statistical Concepts Accessible – Edition 13: Logistic Regression in R, Interpreting the Output

When conducting analysis with a binary outcome, it is essential to align the interpretation of the results with the goal of the analysis, whether it’s inference or prediction. Unlike linear regression, the output of logistic…

Making Statistical Concepts Accessible – Edition 14: Cloglog and Probit as Alternatives to Logit Link Function

Introduction In social sciences, health sciences, and fields like banking and insurance, logistic regression remains a popular method for prediction and inference, especially when the outcome variable is binary. Logistic regression, a specific case of…

Making Statistical Concepts Accessible – Edition 15: Modeling Count Data with the Poisson Distribution

In public health data analysis, disease counts, proportions, and rates are often used as outcome variables. These discrete outcomes differ from the continuous variables typically associated with linear regression. When analyzing count data, especially when…

Case Study: Detecting Machine Signal Modes Using Statistical Analysis

Problem Description We have a time series signal that switches between two modes: on (e.g., at t = 0s) and off (e.g., at t = 0.001504s). These modes correspond to different signal values. Our goal…