# One way and Two ANOVA

1. What is the Null Hypothesis in the ANOVA test? The Alternate Hypothesis? Discuss.

2. What is the difference between a One-Way ANOVA and a Two-Way ANOVA? When do you use each?

Â© BrainMass Inc. brainmass.com March 4, 2021, 7:39 pm ad1c9bdddfhttps://brainmass.com/statistics/analysis-of-variance/one-way-and-two-anova-114823

#### Solution Preview

1. What is the Null Hypothesis in the ANOVA test? The Alternate Hypothesis? Discuss.

Analysis of variance (ANOVA) is a useful tool which helps the user to identify sources of variability from one or more potential sources, sometimes referred to as "treatments" or "factors." This method is widely used in industry to help identify the source of potential problems in the production process and identify whether variation in measured output values is due to variability between various manufacturing processes, or within them .ANOVA is a general technique that can be used to test the hypothesis that the means among two or more groups are equal, under the assumption that the sampled populations are normally distributed. The null hypothesis tested is

H0: There is no significant difference in the population mean of the different treatments or factors

The alternative is

H1: There is significant difference in the population mean of different treatments or factors

Thus the null hypothesis will be that all population means are equal; the alternative hypothesis is that at least one means is different.

2. What is the difference between a One-Way ANOVA ...

#### Solution Summary

The solution describes Null Hypothesis and Alternative Hypothesis of analysis of variance procedure. The difference between a One-Way ANOVA and a Two-Way ANOVA is also discussed.