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
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 possiblility of genetics playing a role in size. The total standard deviation of dataset was 1.64. Interactions were found to be not significant. A summary of the cell and column means is given below.
Feed | 1 | 2 | 3 | 4 |
Litter A | 109.64 | 112.75 | ? | 108.87 |
Litter B | 108.72 | 112.51 | ? | 108.41 |
Litter C | 109.87 | 112.55 | 110.79 | 109.17 |
Column Mean | 109.41 | 112.61 | 110.40 | 108.82 |
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 | 1.355 | |||
Error | ||||
Total |
Calculate the total degrees of freedom
Calculate the error degrees of freedom
Calculate the degrees of freedom for the blocking factor
Calculate the degrees of freedom for the feed type
Calculate the Sum of Squares for the Feed Type
Calculate the Sum of Squares for the litter
Calculate the Sum of Squares of 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 = 0.01?
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 = 0.01?
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 = 0.01, what is the value of *?
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?
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