Welcome to On Statistics

  • What are Confidence Intervals?

    What are Confidence Intervals?

    Confidence intervals (CIs) provide a range of values within which the true population parameter is likely to lie with a specified level of confidence. Imagine a dartboard where you’re aiming to hit the bullseye (true population parameter). Throwing a single dart (point estimate) might land somewhere on the board, but it doesn’t guarantee hitting the…

  • Exploring Latin Hypercube Sampling: A Powerful Tool for Efficient Uncertainty Quantification

    Exploring Latin Hypercube Sampling: A Powerful Tool for Efficient Uncertainty Quantification

    In the realm of science and engineering, understanding how uncertainties in various factors can influence a system’s behavior is crucial. This is where Latin Hypercube Sampling (LHS) emerges as a powerful tool for efficiently analyzing the impact of these uncertainties. What is Latin Hypercube Sampling? Latin Hypercube Sampling is a sophisticated probability sampling technique used…

  • Joint Probabilities: A Guide to the General Multiplication Rule

    Joint Probabilities: A Guide to the General Multiplication Rule

    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,…