Welcome to On Statistics

  • Taking on the Variance Challenge: Welch’s t-test, the Valiant Knight of Unequal Variances

    Taking on the Variance Challenge: Welch’s t-test, the Valiant Knight of Unequal Variances

    In the realm of statistical tests, the independent two-sample t-test stands tall, comparing the means of two independent groups. But what happens when its assumptions falter, specifically when the variances of the two groups differ significantly? Enter Welch’s t-test, a valiant knight ready to tackle this very challenge. Imagine comparing website conversion rates after redesigning…

  • Diving In: The Paired T-Test, Master of Analysing Paired Data

    Diving In: The Paired T-Test, Master of Analysing Paired Data

    In the vast ocean of statistical tools, the paired t-test glides gracefully, tackling a unique challenge: comparing data within the same individuals or units before and after an intervention, treatment, or simply over time. Imagine measuring reaction times before and after a new training program, analyzing plant growth under two fertilizer conditions on the same…

  • The Power of the Independent Two-Sample T-Test: A Statistical Odyssey

    The Power of the Independent Two-Sample T-Test: A Statistical Odyssey

    In the realm of data analysis, where comparisons illuminate truths and differences guide decisions, the independent two-sample t-test reigns supreme. This statistical hero tackles a fundamental question: do two independent groups differ significantly in their means? Imagine testing the effectiveness of two marketing campaigns, comparing student exam scores under different teaching methods, or analyzing plant…