3. You are investigating the influence of location and sex on the size of dolphi
ID: 3226204 • Letter: 3
Question
3. You are investigating the influence of location and sex on the size of dolphins in the Gulf of Mexico. After collecting data, you create the following partial ANOVA table.
df
SS
MS
F
Location
3
34.866
Sex
60.271
Location*Sex
64.016
21.339
Error
xxxxxx
Total
76
672.202
xxxxxx
xxxxxx
a. Considering the variables location, sex, and their interaction, complete the ANOVA table above. (2.5pts)
b. How many locations did you study? (0.25pts)
c. How many total dolphins did you study? (0.25pts)
d. Which of your findings are significant? What can you conclude about your findings? (2pts)
e. Considering your answer to part 3d, what follow up actions do you need to take in your analysis? (2pts)
df
SS
MS
F
Location
3
34.866
Sex
60.271
Location*Sex
64.016
21.339
Error
xxxxxx
Total
76
672.202
xxxxxx
xxxxxx
Explanation / Answer
a)
The Anova table is
b. Number of locations = 4
c. Total number of dolphins = 77
d. F - Value of locations = 1.563
F critical value for location = 2.734
Here F-value < F critical value, so there exist no significance difference among the locations
F - Value of Sex = 8.106
F critical value for location = 3.797
Here F-value > F critical value, so there exist significance difference among the locations
F - Value of locations * Sex = 2.869
F critical value for location * sex = 2.737
Here F-value > F critical value, so there exist significance difference among the locations * sex
Source df Sum of square mean Square F Location 3 34.866 11.622 1.563044 Sex 1 60.271 60.271 8.105851 Location*Sex 3 64.016 21.339 2.869884 Error 69 513.049 7.435492754 Total 76 672.202Related Questions
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