The person in charge of genetic evaluation of beef cattle wants to know if birth
ID: 3312633 • Letter: T
Question
The person in charge of genetic evaluation of beef cattle wants to know if birth weights of calves are influenced by breed and if they are influenced by the region of the U.S. (i.e., Northern U.S. vs Southern U.S.) in which the calf is born. She has heard that calves born in the South are usually lighter at birth than are calves born in the North. In order to answer these questions, she sets up a 2 x 3 factorial experiment with 3 replications and obtains the birth weights (in pounds) shown in the following table:
Angus Charolais Simmental
North 85 93 91
85 92 92
83 94 92
South 85 84 82
76 85 83
74 83 83
The partially completed ANOVA table is as follows:
Source df SS MS F
Total 548.00
Location
Breed 174.33 87.165 13.643
Location x breed 9.00 4.500
Error
Calculate the F value for the location x breed interaction.
A randomized block design is used to compare litter sizes of the Yorkshire and Duroc breeds of sows. Blocking is used in an attempt to remove the effects of sow age, since it is known that sow age influences litter size. Each block contains sows of similar ages. The data collected for this experiment are as follows:
Yorkshire Duroc Block totals
Block 1 9 pigs 7 pigs 16 pigs
Block 2 10 8 18
Block 3 11 9 20
Block 4 13 10 23
Totals 43 34 77
The partially completed ANOVA table for this experiment is as follows:
Source df SS MS F
Total 23.875
Breed 10.125 10.125 81.0
Block 13.375
Error 0.375
Calculate the mean square for blocks and the mean square for error and then calculate the F statistic for blocks. Do the block means differ (i.e., was blocking effective in removing variation in litter size)? Use a significance level of = 0.05.
F value for location x breed interaction = 10.704Explanation / Answer
1)
below is completed ANOVA table:
F value for location x breed interaction = 0.704
2)
below is table:
We reject the hypothesis that the block means are equal, because the calculated F = 35.664, which is greater than the F value of 9.28 from the table
source df SS MS F total 17 548 location 1 288.0 288.00 45.08 breed 2 174.33 87.165 13.643 location*breed 2 9 4.5 0.704 error 12 76.67 6.389Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.