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). Present the least square means and interpret these.
STEP 2 FOR REFERENCE – DO NOT ANSWER: Perform a one way ANOVA using the aov or Anova function in R to assess. Use a significance level of a=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.
|
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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