One possible explanation for why some birds migrate and others maintain year round residency in a single location is intelligence. Specifically, birds with small brains, relative to their body size, are simply not smart enough to find food during the winter and must migrate to warmer climates where food is easily available (Sol. Lefebvre, & RodriguezTeijeiro, 2005). Birds with bigger brains, on the other hand, are more creative and can find food even when the weather turns harsh. Following are hypothetical data similar to the actual research results. The numbers represent relative brain size for the individual birds in each sample.
a. Use an ANOVA with
b. Compute
c. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.
d. Use the Tukey HSD posttest to determine which groups are significantly different.
a.
To test: Whether there is any significant difference among the three groups.
Given info:
One survey was done on the brain size of different types of bird.
Nonmigrating  ShortDistance Migrants  LongDistance Migrants 
















Calculation:
The null and alternative hypotheses:
Null hypothesis:
That is, there is no significant difference between the means.
Alternate hypothesis:
Degrees of freedom:
It is known that for k number of treatments the degrees of freedom is,
Thus,
Similarly,
Critical value:
For
The sum of square due to total is
Thus,
And
b.
To find: The value of
c.
To write: A sentence that demonstrate how a research report would present the results of the hypothesis test and the measure of effect size.
d.
To find: Which groups are significantly different using Tukey HSD posttest.
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