Analysis of variance, which is more commonly referred to as ANOVA. ANOVA is a statistical technique used to determine if differences exist between the means of three or more populations under independent sampling. For instance, we may want to determine if the average miles per gallon of small hybrid cars vary by brand. Or we may wish to compare the effectiveness of different fertilizers on the average yield per acre. These are examples of one-way ANOVA, where we examine the effect of one factor on the mean. We then move on to two-way ANOVA, where the mean may be influenced by two factors. For instance, we may want to determine if the average miles per gallon of small hybrid cars vary by brand and octane rating of gasoline. Or we may wish to determine if the average yield per acre is influenced by the fertilizer and the acidity level of the soil. Tests based on two-way ANOVA can be conducted with or without the interaction of the factors.

Use this discussion posting to give a personal/work related scenario on how an ANOVA can be employedand give an example of how this statistical tool will be beneficial in your current or future line of work.