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In: Statistics and Probability

For the bird egg length data set, also conduct an appropriate test to determine if bird...

For the bird egg length data set, also conduct an appropriate test to determine if bird egg length differs among species. Assume that before you conducted this test you hypothesized about 3 contrasts a priori. These were that (1) Meadow Pipits, Wagtails, and Robins would be different than the other 3 bird species, (2) Hedge Sparrows would differ from Wrens, and (3) Tree Pipits would be different than all other birds. Use the approach we outlined in class to evaluate these a priori contrasts. Show all steps taken.

Hedge Sparrow = 20.85, 21.65, 22.05, 22.85, 23.05, 23.05, 23.05, 23.05, 23.45, 23.85, 23.85, 23.85, 24.05, 25.05

Meadow Pipit = 19.65, 20.05, 20.65, 20.85, 21.65, 21.65, 21.65, 21.85, 21.85, 21.85, 22.05, 22.05, 22.05, 22.05

Pied Wagtail = 21.05, 21.05, 21.85, 21.85, 21.85, 22.05, 22.45, 22.65, 23.05, 23.05, 23.25, 23.45, 24.05, 24.85

Robin = 21.85, 22.05, 22.05, 22.25, 22.45, 22.45, 22.65, 23.05, 23.05, 23.05, 23.05, 23.05, 23.25, 23.85

Tree Pipit = 21.05, 21.85, 22.05, 22.45, 22.65, 23.25, 23.25, 23.45, 23.45, 23.65, 23.85, 24.05, 24.05, 24.05

Wren = 19.85, 20.05, 20.25, 20.85, 20.85, 20.85, 21.05, 21.05, 21.25, 21.45, 22.05, 22.05, 22.05, 22.25

Solutions

Expert Solution

Above I have performed ANOVA analysis in R.

The vertical line from 0 if it cuts the horizontal line then there is no difference in the mean of the two groups.

Ex., you can observe that the first and 2nd group has not the same mean from bottom nut the 3rd line cuts the 0 and hence they have the same mean. Using the same we can draw parallel to the conclusion.

orchestra answered 2 years ago
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