The test statistic for analysis of variance is the F -ratio Samples (not necessarily of the same size) are randomly and independently selected from each population

All populations of interest are normally distributed The populations have equal standard deviations

One-Way ANOVA — a method of testing whether or not the means of three or more populations are equal; the method is applicable if: all populations of interest are normally distributed. the…. Analysis of Variance — also referred to as ANOVA, is a method of testing whether or not the means of three or more populations are equal. The method is applicable if: all populations of interest are…. Variance — mean of the squared deviations from the mean; the square of the standard deviation. For a set of data, a deviation can be represented as x - where x is a value of the data and x…. same size) — randomly and independently selected from each population.