Welcome to On Statistics

Sets play a crucial role in organizing and manipulating collections of objects in mathematics. But how do we combine, separate, or compare these sets? This is where set operations come in, offering a versatile toolbox for working with sets. This article delves into the core concepts, applications, formulas, and practical examples of set operations, equipping…

In the realm of probability and statistics, the Law of Large Numbers reigns as a fundamental principle. It whispers a fascinating truth: the larger the sample size, the closer the average of the results gets to the population’s true mean. This article delves into the essence of this law, exploring its core concepts, applications, formulas,…

In today’s data-driven world, information bombards us from all sides. Numbers, figures, statistics – they swirl around us, waiting to be deciphered. But raw data, in its numerical form, can be as opaque as a thick fog. This is where data visualization steps in, acting as a powerful tool to transform the invisible into the…

In the realm of statistical analysis, comparing multiple groups often relies on the familiar one-way analysis of variance (ANOVA). However, ANOVA thrives on the assumptions of normality and equal variances across groups. When these assumptions are violated, particularly when dealing with ordinal data (ranked or categorized data), the Friedman test emerges as a powerful non-parametric…

In the realm of statistical analysis, when comparing multiple groups, the familiar one-way analysis of variance (ANOVA) takes center stage. However, its effectiveness hinges on the assumption of normally distributed data and equal variances across groups. When these assumptions are violated, the Kruskal-Wallis test emerges as a non-parametric alternative, offering a robust and reliable method…