Part 1. Title and Introduction Create a nice title for your report. Write a very informative introduction.
(a) Using your own words, inform your audience what do you understand about ANOVA.
(b) Explain the difference between one-way and two-way ANOVA.
(c) Talk about their importance and provide practical applications on the industry of your interest. Remember to use at least 3 different academic references.
Part 2. Analysis section As you have already learnt, for each task, enter all your codes in one single r chunk {r}, creating object names for all your codes and equations, and using the name of those objects to present your answers using inline R codes. Pay special attention at the way your instructor prepared all her codes; several good examples are presented on Lecture 13. Also observe recommendations at the end of this document. Be very organized.
Task 1. Critical values
The main purpose of this task is not just to (1) measure your R coding skills to obtain the right answers, but also your skills to (2) prepare one single r chunk with object names for all your calculations and (3) the use of inline r codes to present your answers. Be very organized. **
Prepare your codes in one single R chunk {r task1}, and present your answers using inline R codes. **
a. For α = 0.05, n = 15, what is the critical value for a right-tailed distribution? Use z test.
b. For α = 0.05, n = 15, what is the critical value for a right-tailed distribution? Use t test.
c. For α = 0.05, n = 15, what is the critical value for a right-tailed chi-square test?
d. For α = 0.05, dfN = 3, dfD = 10, what is the critical value for a F test?
e. For α = 0.001, n = 15, what is the critical value for a left-tailed distribution? Use z test.
f. For α = 0. 001, n = 15, what is the critical value for a left -tailed distribution? Use t test.
g. For α = 0. 001, n = 15, what is the critical value for a left-tailed chi-square test?
Task 2. P values The main purpose of this task is not just to (1) measure your R coding skills to obtain the right answers, but also your skills to (2) prepare one single r chunk with object names for all your calculations and (3) the use of inline r codes to present your answers. Be very organized. ** Prepare your codes in one single R chunk {r task2}, and present your answers using inline R codes. **
a. What is the p value for z = 2.4569 with n = 256?
b. What is the p value for t = 2.4569 with n=22?
c. What is the p value for z = -3.0349 with n = 256?
d. What is the p value for t = -3.0349 with n=22?
e. What is the p value for Chi square test = 5.39563 with n=11?
f. What is the p value for Chi square test = 5.39563 with n=16?
g. What is the p value for Chi square test = 5.39563 with n=21?
h. Compare p values among e-f-g and explain the reason of differences even the test values are the same
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