Welcome to On Statistics

  • The Chi-Square Goodness of Fit Test: A Window into Categorical Data

    The Chi-Square Goodness of Fit Test: A Window into Categorical Data

    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…

  • The Power of Non-Parametrics: The Wilcoxon Signed-Rank Test

    The Power of Non-Parametrics: The Wilcoxon Signed-Rank Test

    In the realm of statistics, comparing two groups of paired data is a frequent task. While the paired t-test reigns supreme for normally distributed data, what happens when normality is violated? This is where the Wilcoxon signed-rank test, a non-parametric alternative, steps into the spotlight, offering a robust and reliable method for analysing paired data…

  • How to Calculate Confidence Intervals for Correlation Coefficients

    How to Calculate Confidence Intervals for Correlation Coefficients

    In the realm of statistics, we often investigate the relationship between two variables by calculating the correlation coefficient (r). However, directly accessing the entire population to determine the true population correlation (ρ) is often impractical. This is where confidence intervals (CIs) for correlation coefficients come into play, offering a powerful tool for estimating the population…