a What values go in the cells marked 1 2 3 and 4 in the ANOV

a) What values go in the cells marked (1), (2), (3) and (4) in the ANOVA table, and hence what value goes in the cell marked (5)? Additionally, is the full ANOVA table needed or can we plausibly use a parallel ANCOVA?

First-Yea e Second-Year Thrd-Year 8 10 30 40 50 60 70 80 90 Hours Week of Study Fimed Values

Solution

Degrees of freedom of the following sources:

Hours / Week = SS/MS = 59023.98 / 59023.98 = 1 (Ans 1)

Year Level = SS/MS = 4682.32/2341.16 = 2 (Ans 2)

Interaction = SS/MS = 2370.84/1185.42 = 2 (Ans 3)

Residual df = 300 - 1 - 2 -2 - 1 = 294 (Ans 4)

SS residual = MS*294 = 27.91*294 = 8205.54 (Ans 5)

Parallel ANCOVA can be used to compare year levels 1 and 2 with year level 3. But a comparison between year levels 1 and 2 is also needed. So ANOVA is needed for an overall scenario on whether all the year levels have the same mean or not.