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Chapter 13: Q. 13.15 (page 532)

Regarding one-way ANOVA, fill in the blanks in each of Exercises 13.15-13.17
13.15 A measure of variation among the sample means is called the ------ The mathematical abbreviation for it is--------

Short Answer

Expert verified

A measure of variation among the sample means is called the Treatment mean square. The mathematical abbreviation isMSTR.

Step by step solution

01

Given information

To find that a measure of variation among the sample means stands.

and the mathematical abbreviation.

02

Explanation

Treatment mean square: The treatment mean square is the difference between the sample means.
That is, the sum squares of the treatment is divided by (k-1).
MSTR=SSTRk-1is the formula for MSTR.

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Most popular questions from this chapter

Fill in the missing entries in the partially completed one-way ANOVA table

Losses to Robbery. At the 5%significance level, do the data provide sufficient evidence to conclude that a difference in mean losses exists among the three types of robberies? Use one-way ANOVA to perform the required hypothesis test. (Note: T1=4899,T2=7013,T3=4567and 5x2=16,683,857.)

Book Prices. The R. R. Bowker Company collects data on book prices and publishes its findings in The Bowker Annual Library and Book Trade Almanac. Independent simple random samples of hardcover books in law, science, medicine, and technology gave the data, in dollars, on the WeissStats site.

a. Obtain individual normal probability plots and the standard deviation of the samples.

b. Perform a residual analysis.

c. Use your results from parts (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 fewer than the samples were taken.

e. Interpret your results from part (d).

The US Census Bureau collect data on monthly rents of newly completed apartments and publishes the results, in Current Housing Reports. Independent random samples of newly completed apartments in the four US regions yielded the data on monthly rents, in dollars given on WeissStats site. At the \(5%\) significance level, do the data provide sufficient evidence to conclude that a difference exists in mean monthly rents among newly completed apartments in the four US regions?

a. conduct a one-way ANOVA test on the data

b. Interpret your results from part (a)

c. decide whether presuming that the assumptions of normal populations and equal population standard are met is reasonable.

On what distribution does one-way ANOVA rely?
See all solutions

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