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Expected Values in the Chi Square Test
Computing Expected Values for a contingency Table
Paired t-Test: A Step-by-Step Guide
A paired t-test is a statistical method used to determine whether there is a significant difference between two sets of related observations. It’s especially useful when the same subjects are measured under two different conditions
The Chi-Squared Test
Tutorial on the Chi Square Test
FriedMan Text
Friedman Rank Sum Test Implementation of the Friedman Test using the Warpbreaks data set
Poisson Approximation to the Binomial Distribution
This exercise demonstrates how the Poisson distribution can approximate a binomial distribution when trials are large and success probabilities are small. It includes step-by-step examples, comparisons, and practical use cases for real-world data
The Uniform Probability Distribution
Tutorial on the Uniform Probability Distribution
The Binomial Text with R
Tutorial on the Binomial Text with R
Gambler's Ruin
This simulation explores the classic Gambler’s Ruin problem using R. It models a series of biased coin tosses between a gambler and a banker, tracks the gambler’s fortune over time, and analyzes the duration and outcomes of multiple trials.
Benford's Law
Tutorial on Benford's Law
The Hypergeometric Probability Distribution
Tutorial on the Hypergeometric Probability Distribution
The Geometric Probabaility Distribution
Tutorial Sheet for the Geometric Probability Distribution
The Exponential Probability Distribution
Tutorial on the exponential probability distribution
The Weibull Probability Distribution
Tutorial on the Weibull Probability Distribution - The Weibull distribution is widely used for life data analysis. Among its variations, the two-parameter Weibull distribution is the most common, though the three-parameter and one-parameter versions are also utilized for more detailed analysis.
The Lognormal Probability Distribution
Short tutorial on the Lognormal Probability Distribution
Introduction to Statistical Process Control
Introduction to Statistical Process Control
Barley Yield Example - Paired t-test
In the built-in data set named **`immer`**, the barley yield in years 1931 and 1932 for the same fields is recorded. Fertilizer treatments were applied in the interim. The study aimed to determine whether the treatment was effective.
Bartlett's test for Homogeneity of Variances
Bartlett's test for Homogeneity of Variances
Anderson Darling Test for Normality
The Anderson-Darling test evaluates whether a sample follows a specific distribution, typically normal. It gives more weight to tail behaviour than other tests, making it sensitive to subtle deviations.
Mitigating Non-Normality with Logarithmic Transformation
This tutorial explains how log transformation can correct non-normal data, helping restore normality for valid statistical analysis—especially useful with skewed data or small sample sizes.
Kolmogorov-Smirnov Test
The Kolmogorov-Smirnov (K-S) test is a non-parametric method used to compare a sample's distribution to a fully specified continuous theoretical distribution.