Question 1
PART A)
We have 678 observations with two IVs, education and partyid, and one numerical DV. Education is measured with 5 levels/groups and partyid includes 3 levels/groups. Fill in the appropriate degrees of freedom for each effect/variance component below.
ENTER DFs AS INTEGERS.
Variance component | Degrees of Freedom |
education | |
partyid | |
education:partyid | |
residuals | |
total |
PART B)
Fill in the blanks in the ANOVA table below. You have enough information to make these calculations.
ROUND ALL ANSWERS (EXCEPT DF) TO ONE DECIMAL PLACE - DF SHOULD BE INTEGERS
SOURCE | df | SS | MS | F |
Factor A | 778.5 | 259.5 | ||
Factor B | 4 | 3529.2 | 10.2 | |
Interaction | 12 | 6850.8 | 570.9 | |
Residuals | 6920.0 | 86.5 | ||
TOTAL | 99 |
PART C)
Referring to the ANOVA table you completed in the previous question, given a critical F-value of 2.49, is Factor B statistically significant?
a) Yes
b) No
Ans1
PART A)
Variance component | Degrees of Freedom |
education | 4 |
partyid | 2 |
education:partyid | 8 |
residuals | 678-15 = 663 |
total | 677 |
PART B)
Fill in the blanks in the ANOVA table below. You have enough information to make these calculations.
ROUND ALL ANSWERS (EXCEPT DF) TO ONE DECIMAL PLACE - DF SHOULD BE INTEGERS
SOURCE | df | SS | MS | F |
Factor A | 3 | 778.5 | 259.5 | 3.0 |
Factor B | 4 | 3529.2 | 882.3 | 10.2 |
Interaction | 12 | 6850.8 | 570.9 | 10.10 |
Residuals | 80 | 6920.0 | 86.5 | |
TOTAL | 99 |
PART C)
given a critical F-value of 2.49 yes Factor B is statistically significant
a) Yes
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