Question: MET CS 555 Assignment 5 - 20 points SUBMISSION REQUIREMENTS: Please submit a single document (word or PDF) for submission.Your submission should contain a summary
MET CS 555 Assignment 5 - 20 points
SUBMISSION REQUIREMENTS: Please submit a single document (word or PDF) for submission.Your submission should contain a summary of your results (and answers to questions asked on the homework) as well as your R code used to generate your results (please append to the end of your submission). Please use R for the calculations whenever possible. You will lose points if you are not utilizing R.You will also lose 10 points per day for late submissions unless prior arrangements are made with your facilitator.
The data in this document is from 3 groups of students (math, chemistry, and physics) on an IQ related test.Save the data, and read the data into R.Use this data to address the following questions:
(1)How many students are in each group?Summarize the data relating to both test score and age by the student group (separately).Use appropriate numerical and/or graphical summaries. (3 points)
(2)Do the test scores vary by student group?Perform a one way ANOVA using the aov or Anova function in R to assess.Use a significance level of =0.05. Summarize the results using the 5-step procedure. If the results of the overall model are significant, perform the appropriate pairwise comparisons using Tukey's procedure to adjust for multiple comparisons and summarize these results.(7 points )
(3)Create an appropriate number of dummy variables for student group and re-run the one-way ANOVA using the lm function with the newly created dummy variables.Set chemistry students as the reference group.Confirm the results are the same (specifically point out test statistics, p-values, etc. that show the results are equivalent).What is the interpretation of the beta estimates from the regression model? (4 points)
(4)Re-do the one-way ANOVA adjusting for age (ANCOVA).Focus on the output relating to the comparisons of test score by student type.Explain how this analysis differs from the analysis in step 2 above (not the results but how does this analysis differ in terms of the questions it answers as opposed to the one above).Did you obtain different results?Summarize briefly (no need to go through the 5 -step procedure here).Lastly, present the least square means and interpret these. (6 points)
Data set for Assignment 5
group
iq
age
Physics student
34
15
Physics student
33
17
Physics student
32
15
Physics student
25
14
Physics student
36
19
Physics student
30
18
Physics student
31
16
Physics student
34
17
Physics student
29
16
Physics student
34
17
Physics student
39
16
Physics student
33
18
Physics student
39
19
Physics student
42
20
Physics student
41
20
Math student
36
20
Math student
38
28
Math student
37
22
Math student
35
18
Math student
41
19
Math student
40
23
Math student
36
19
Math student
38
16
Math student
24
18
Math student
39
20
Math student
29
19
Math student
38
20
Math student
45
23
Math student
44
24
Math student
44
22
Chemistry student
52
46
Chemistry student
46
38
Chemistry student
51
41
Chemistry student
52
39
Chemistry student
45
44
Chemistry student
49
33
Chemistry student
47
41
Chemistry student
46
36
Chemistry student
41
40
Chemistry student
47
44
Chemistry student
46
46
Chemistry student
42
38
Chemistry student
43
32
Chemistry student
47
41
Chemistry student
40
42
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