A farm animal feed company is developing a new line of pig feed. It has created four
Question:
A farm animal feed company is developing a new line of pig feed. It has created four different formulations and is interested in knowing which pig feed is most efficient at fattening them up. 12 pigs from 3 different litters (A,B and C) were selected, 3 pigs from each litter were exclusively fed one type of feed (1, 2, 3 or 4). After 2 years each pig was weighed. Litters were used as blocking effect to control for the possibility of genetics playing a role in size. The total standard deviation of dataset was 2.07. Interactions were found to be not significant. A summary of the cell and column means is given below. (Treat $alpha as 0 in this case. Only if you see $alpha though. If you see a number use the number)
| Feed | 1 | 2 | 3 | 4 |
| Litter A | 118.93 | 121.97 | 121.19 | ? |
| Litter B | 119.13 | 121.48 | 120.59 | ? |
| Litter C | 122.61 | 124.95 | 124.25 | 124.96 |
| Column Mean | 120.22 | 122.80 | 122.01 | 122.32 |
Note that two of the cell means are not given on purpose, however the following partial ANOVA table is supplied.
| Source | DF | SS | MS | F |
| Feed Type | ||||
| Litter | 50.159 | |||
| Error | ||||
| Total |
Calculate the Sum of Squares for the Feed Type, for Litter and for the Error.
Calculate the total Sum of Squares
Calculate the Mean Square for the Feed Type
Calculate the MSE
Calculate the F statistic for Feed Type
Is there a significant feed effect at α = 0.1?
Yes there is a significant effect
No there is not a significant effect
Calculate the F statistic for litter
Is there a significant litter effect at α = 0.1?
Yes there is a significant effect
No there is not a significant effect
The feed company is interested in knowing which of the feed types is effective. How many pairwise comparisons must be made?
If α = 0.1, what is the value of α*?
What is the denominator of the pairwise test statistics for the feed type?
What is the test statistic for feed type 1 vs. 4?
What is the test statistic for feed type 2 vs. 3?
Expert Answer:
Sum of Squares for the Feed Type The sum of squares for the feed type is the sum of the squared differences between each cell mean and the column mean ... View the full answer
Managerial Decision Modeling with Spreadsheets
ISBN: 978-0136115830
3rd edition
Authors: Nagraj Balakrishnan, Barry Render, Jr. Ralph M. Stair
