Chi-Square Distribution

The chi-square distribution is especially important in variance analysis, goodness-of-fit testing, and independence testing. Because it is positive-valued and right-skewed, it serves as a natural reference distribution for certain test statistics. It is a core tool in categorical data analysis and observed-versus-expected frequency comparisons. For anyone seeking to understand the theoretical background of statistical tests, the chi-square distribution is indispensable. It helps evaluate data through the question: “How far does this deviate from what was expected?”