Chapter 13: Q. 5 (page 547)
In one-way ANOVA, identify a statistic that measures
a. the variation among the sample means.
b. the variation within the samples.
(a) The MSTR is used to calculate the variance between sample means.
(b) The MSE is used to determine how much variation exists between the sample means.
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How many degrees of freedom does an -curve have? What are those degrees of freedom called?
| SAMPLE 1 | SAMPLE 2 | SAMPLE 3 |
| 1 | 10 | 4 |
| 9 | 4 | 16 |
| 8 | 10 | |
| 6 | ||
| 2 |
many species of cuckoos are brood parasites. The females lay their eggs in the nests if similar bird species that then raise the young cuckoos at the expense of their own young. The question might be asked, "Do the cuckoos lay the same size eggs regardless of the size of the bird whose nest they use"? Data on the lengths, in millimeters of cuckoo eggs found in the nests of six bird species- Meadow Pipit, Tree pipit, Hedge Sparrow, Robin, Pied Wagtail and wren are provided on the WeissStats site. These data are collected by the late O. Latter in \(1902\) and used by L. Tippett in his text The Methods of Statistics.
a. Obtain individual normal probability plots and the standard deviations of the sample.
b. Perform a residual analysis
c. use your results from part (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so, also do parts (d) and (e).
d. use a one-way ANOVA test to decide, at the\(5%\) significance level whether, the data provide sufficient evidence to conclude that a difference exists among the means of the populations from which the samples were taken.
e. Interpret your results from part (d).
In this problem, consider an F-curve with .
Identify the degrees of freedom for the numerator.
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
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