Welcome to On Statistics

In the world of probability, where chance reigns supreme, understanding how events intertwine holds immense power. The General Multiplication Rule emerges as a pivotal tool, illuminating the probability of two events occurring concurrently, be they independent or intricately connected. This article serves as your comprehensive guide, navigating the intricacies of this rule with clear explanations,…

In the realm of statistics, regression analysis allows us to explore the relationship between a dependent variable (y) and one or more independent variables (x). One key aspect of this analysis is investigating the significance of the slope coefficient (β₁), which indicates the strength and direction of the linear relationship between x and y. Unveiling…

In the realm of statistics, analyzing relationships between categorical variables often requires us to venture beyond the limitations of the chi-square test, especially when dealing with small sample sizes or unequal expected frequencies. This is where Fisher’s exact test emerges as a powerful and exact alternative, offering a robust method for assessing statistical significance in…

In the realm of statistics, the chi-square test of independence emerges as a powerful tool for investigating relationships between two categorical variables. It allows us to assess whether the occurrence of one category in a variable is independent of the categories in another variable. Navigating the Categorical Landscape Categorical data, unlike numerical data, involves classifying…

In the realm of statistics, the chi-square goodness of fit test stands as a powerful tool for analyzing categorical data. It allows us to assess whether the observed frequencies (counts or proportions) in a dataset match what we would expect based on a predefined theoretical probability distribution. Stepping into the Categorical World: Beyond Numbers Categorical…