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Use of ANOVA, One-Way, Two-Way, R-Square in Regression

Short Answer - One paragraph per response; your own words! Reference links may be included.

Question 1:
The F test is used in Analysis of Variance (ANOVA). When would a researcher use an ANOVA? Explain.

Questions 2:
A research assistant is contemplating whether to use a One Way ANOVA or a Two Way ANOVA. The research assistant comes to you for consultation. Explain to this research assistant the differences between these two ANOVA tests.

Question 3:
What is the role of R square in regression analysis? How does R square differ from the adjusted R square? Explain.

Solution Preview

1. The F test is used in Analysis of Variance (ANOVA). When would a researcher use an ANOVA? Explain.

The purpose of conducting an ANOVA is to see if there is any difference between two or more groups on some variable. 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.

Example: The production of three varieties of wheat sown in 12 plots is recorded and an ANOVA is used to test if there are significant differences in the production of the three varieties.

2. A research assistant is contemplating whether to use a One Way ANOVA or a Two Way ANOVA. The research assistant comes to you for consultation. Explain to this research assistant the differences between these two ANOVA ...

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