Welcome to On Statistics

  • Testing the Significance in Regression Analysis

    Testing the Significance in Regression Analysis

    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…

  • Fisher’s Exact Test: Unveiling the Power of Exact Probabilities

    Fisher’s Exact Test: Unveiling the Power of Exact Probabilities

    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…

  • The Chi-Square Test of Independence: Relationships in Categorical Data

    The Chi-Square Test of Independence: Relationships in Categorical Data

    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…