A group of ornithologists wants to study feeding preferences of yellow warblers.
ID: 3292591 • Letter: A
Question
A group of ornithologists wants to study feeding preferences of yellow warblers. They design an experiment with three factors
– seed type (S=corn or sunflower),
– the location of the feeder (L= in a sunny place or in the shade),
– the gender of the bird (G=male or female).
They have 2 birds in each combination of seed type, location, and gender. The response is the weight (W) of seeds consumed by all the birds in each combination of the three factors in a period of 1 hour. The following table shows the design, and the response variable (weight):
SeedType
Location
Gender
Weight
Corn
Sun
Male
68
Corn
Sun
Male
66
Sunflower
Sun
Male
66
Sunflower
Sun
Male
57
Corn
Shade
Male
133
Corn
Shade
Male
150
Sunflower
Shade
Male
80
Sunflower
Shade
Male
79
Corn
Sun
Female
91
Corn
Sun
Female
57
Sunflower
Sun
Female
79
Sunflower
Sun
Female
63
Corn
Shade
Female
125
Corn
Shade
Female
113
Sunflower
Shade
Female
67
Sunflower
Shade
Female
67
1. What is the design? Write down the statistical model, using the notation above (S, L, G).
2. The ANOVA table for this experiment is: Complete the df column.
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
11743.4
1677.6
13.4
0.0008
Error
1000.2
125.0
Corrected Total
15
12743.6
SeedType
Location
Gender
Weight
Corn
Sun
Male
68
Corn
Sun
Male
66
Sunflower
Sun
Male
66
Sunflower
Sun
Male
57
Corn
Shade
Male
133
Corn
Shade
Male
150
Sunflower
Shade
Male
80
Sunflower
Shade
Male
79
Corn
Sun
Female
91
Corn
Sun
Female
57
Sunflower
Sun
Female
79
Sunflower
Sun
Female
63
Corn
Shade
Female
125
Corn
Shade
Female
113
Sunflower
Shade
Female
67
Sunflower
Shade
Female
67
Explanation / Answer
1-Design is completely randomized design
Statistical model is
Weight=0 + 1 S+ 2 L +3 G+, where is normally distributed.
2-
For model degree of freedom=7
For error degree of freedom =15-7=8
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