What do you mean by degrees of freedom in statistics? Explain the concept of degrees of freedom for each of the following hypothesis tests. Use an example in each case and compute the degrees of freedom. Determine step by step how you arrived at the degrees of freedom.
1. One Sample T-Test
2. Two Sample T-Test for Independent, Dependent and Paired Samples (with an example in each case)
3. ANOVA- Single Factor
4. ANOVA -Two Way (2 x 2 Factorial ANOVA)
5 Chi-Square Test - One Dimensional (Simple)
6. Chi-Square Test -Two Dimensional (m x n Table)
7. Linear Regression
8. Multiple Regression
The solution contains a detailed discussion and step by step calculations of degrees of freedom for the various hypothesis tests.