Welcome to On Statistics

  • CDF vs. PDF in the Realm of Probability

    CDF vs. PDF in the Realm of Probability

    When delving into the world of probability and statistics, two frequently encountered concepts are Probability Density Function (PDF) and Cumulative Distribution Function (CDF). Though both depict information about a random variable, they differ in their scope and what they represent. Understanding Random Variables Before diving into the differences between CDF and PDF, it’s crucial to…

  • Random Variables: The Building Blocks of Probability and Statistics

    Random Variables: The Building Blocks of Probability and Statistics

    In the realm of statistics and probability, understanding random variables is fundamental. These variables, often represented by symbols like X, Y, or Z, act as the building blocks for quantifying and analyzing uncertainty and variability. What are Random Variables? A random variable is a numerical variable whose value is uncertain before an experiment or observation…

  • Odds Ratios: A Guide to Interpretation and Applications

    Odds Ratios: A Guide to Interpretation and Applications

    In the realm of data analysis, where associations and relationships hold the key to unlocking valuable insights, odds ratios (OR) emerge as a powerful tool. But interpreting them correctly can be tricky. This article delves into the world of odds ratios, exploring their meaning, calculation, and interpretation, along with practical examples and formulas to equip…

  • The Updated Truth: A Deep Dive into Posterior Probability

    The Updated Truth: A Deep Dive into Posterior Probability

    In the realm of statistics and data analysis, where uncertainty reigns supreme, posterior probability offers a powerful tool for refining our understanding of the world. It represents the updated probability of an event occurring, taking into account not only prior beliefs but also the impact of new evidence. This article delves into the fascinating world…

  • Certainty in the Unknown: A Deep Dive into Theoretical Probability

    Certainty in the Unknown: A Deep Dive into Theoretical Probability

    In the realm of mathematics, a special brand of probability reigns supreme: theoretical probability. Unlike its data-driven counterpart, experimental probability, theoretical probability relies on logic and reasoning to predict the likelihood of events, without the need for actual experiments. This article delves into the fascinating world of theoretical probability, exploring its core concepts, applications, formulas,…