Welcome to On Statistics

  • The Hypergeometric Distribution: Sampling Without Replacement

    The Hypergeometric Distribution: Sampling Without Replacement

    Imagine drawing a certain number of objects from a finite population where some objects are of interest and the order of drawing doesn’t matter. This scenario, where sampling occurs without replacement, is precisely where the hypergeometric distribution steps in. What is the Hypergeometric Distribution? The hypergeometric distribution is a discrete probability distribution used to calculate…

  • The Exponential Distribution: Modeling the Time Until the “Next Event”

    The Exponential Distribution: Modeling the Time Until the “Next Event”

    The realm of probability often involves studying the time it takes for events to occur. In such scenarios, the exponential distribution emerges as a powerful tool. It describes the probability distribution of the time between independent events in a continuous process. Understanding the Exponential Distribution The exponential distribution applies to situations where: Key Features: What…

  • Permuted Block Randomization: A Method for Balancing Research

    Permuted Block Randomization: A Method for Balancing Research

    In the intricate world of research, ensuring fairness and unbiasedness is paramount. To achieve this, researchers often utilize randomization techniques when assigning study participants to different groups. Among these techniques, permuted block randomization stands out as a reliable and widely used method for balancing research groups in clinical trials and other studies. What is Permuted…