Question

This is a discussion board post. It is made to look like an example:

Describe a situation where you would use One-Way ANOVA by describing some number populations and a quantitative variable on these populations. You might want to mention the sizes of samples from these populations, hypotheses, a significance level, a P-value, and a conclusion.

Answer 1

In the given answer, firstly I have tried to discuss a little bit of One Way Anova and their mathematical formulations and how we arrive at them. Then, using the same formulations, I have tried to discuss a simple problem.

Finally, for computing the p value, we take the help of R programming language:

The following code was used to generate the P value:

> 1-pf(1.5,2,9) # Since, F value: 1.5 and the degrees of freedom are (2,9)

Output: 0.2740159

Hence the p value s 0.27, which is greater than 0.05 (significance level) hence agrees with our conclusion