Applied Statistics Questions

1. This question deals with a balanced, completely randomized 2-way ANOVA.

1. 
   What does balanced mean?
   
   B. What is the difference between completely randomized design and a blocked design, include which one would block?

C. What is the model? Explain, what each term represents and what assumptions, if any, are usually made?

D. What are the hypotheses to be tested?

F. Since this is a balanced design, how many observations are made at each combination of A and B?

G. Complete the table.

H. Using the p-values you obtained, state what you would do next.

1. What are your conclusions (expressed for a non-statistician)?

1. Now assume the p-value for AB is significant. Restate your conclusions.

2. The following result is obtained from a software output for a simple linear model.

Ŷ= 3.03 + 7.1X

1. What is the test statistic for deciding if the 7.1 number isn’t close to zero, thus, it may
   be ignored? Also, what is the distribution of the test statistic assuming the null hypothesis is true?
2. Assume all Xs are in the interval [10,20], What are the point estimates for when x=14 and when x=25? Comments!
3. What is the difference between a 95% confidence interval for a response and a 95% prediction interval for this response?
4. Give two examples of what diagnostics should be done.

3. What would one use a one line table to establish? Be specific.

4. When using the Wilcoxon Signed-Rank test to determine whether a population mean is 10, what are the steps to be performed and what is their order?

5. Are there any assumptions made for the Wilcoxon Signed-Rank test? For the Wilcoxon Rank-Sum Test?

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