Fisher's F-distribution

Fisher's F-distribution is a statistical tool used to compare the variation between different groups or data sets. It helps determine whether two or more samples have different underlying differences, such as in testing if multiple treatments produce similar effects. In essence, it looks at the ratio of variability between groups to the variability within groups. A higher F-value suggests greater differences between groups, while a lower value indicates they are more similar. This distribution is fundamental in analysis of variance (ANOVA), providing a way to assess the significance of observed differences based on probability.