Chapter 13: Q. 9 (page 547)
In this problem, consider an F-curve with .
Identify the degrees of freedom for the denominator.
Short Answer
The degree of freedom for the denominator is
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Chapter 13: Q. 9 (page 547)
In this problem, consider an F-curve with .
Identify the degrees of freedom for the denominator.
The degree of freedom for the denominator is
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Following are the notations for the three sums of squares. State the name of each sum of squares and the source of variation each sum of squares represents.
a. SSE
b. SSTR
c. SST
On page 539, we discussed how to use summary statistics (sample sizes, sample means, and sample standard deviations) to conduct a one-way ANOVA.
a. Verify the formula presented there for obtaining the mean of all the observations, namely,
b. Show that, if all the sample sizes are equal, then the mean of all the observations is just the mean of the sample means.
c. Explain in detail how to obtain the value of the F-statistic from the summary statistics.
Discuss two methods for checking the assumptions of normal populations and equal standard deviations for a one-way ANOVA.
Rock Sparrows breeding in northern Italy are the subject of a long-term ecology and conservation study due to their wide variety of breeding patterns. Both males and females have a yellow patch on their breasts that is thought to play a significant role in their sexual behavior. A Pilastro et al. conducted an experiment in which they increased or reduced the size of a female's breast patch by dying feathers at the edge of a patch and then observed several characteristics of the behavior the male. Their results were published in the paper "Male Rock Sparrow Adjust Their Breeding Strategy According to Female Ornamentation: Parental or Mating Investment? Eight mating pairs were observed in each of three groups: a reduced patch size group, a group control and an enlarged patch size group. The data on the WeissStats site, based on the results reported by the researchers, give the number of minutes per hour that makes sang in the vicinity of the nest after the patch size manipulation was done on the females.
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