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Key Terms
# Key Terms

- analysis of variance
- also referred to as ANOVA: a method of testing whether the means of three or more populations are equal
The method is applicable if

- all populations of interest are normally distributed,
- the populations have equal standard deviations, and
- samples (not necessarily of the same size) are randomly and independently selected from each population.

The test statistic for analysis of variance is the

*F*ratio.

- one-way ANOVA
- a method of testing whether the means of three or more populations are equal; the method is applicable if
- all populations of interest are normally distributed,
- the populations have equal standard deviations,
- samples (not necessarily of the same size) are randomly and independently selected from each population, and
- there is one independent variable and one dependent variable.

The test statistic for analysis of variance is the

*F*ratio.

- 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*– $\overline{x}$ where*x*is a value of the data and $$\overline{x}$$ is the sample mean. The sample variance is equal to the sum of the squares of the deviations divided by the difference of the sample size and 1.