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Chapter 13: Q.4 (page 764)

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?

Write a fourth assumption.

Short Answer

Expert verified

The fourth assumption for one-way ANOVA is that the 'Factor is a categorical variable'.

Step by step solution

01

Given Information

Five basic assumptions must be fulfilled to perform a one-way ANOVA test.

We have to explain the fourth assumption.

02

Explanation

The one-way ANOVA test is used to determine the significant difference among several group means. The fourth assumption for one-way ANOVA is that the 'Factor is a categorical variable'.

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Most popular questions from this chapter

A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24individuals and asked them their daily one-way commuting mileage. The results are as follows.

working-class
professional (middle incomes)
professional (wealthy)

17.8		16.5
8.5
26.7
17.4
6.3
49.4
22.0
4.6
9.4
7.4
12.6
65.4
9.4
11.0
47.1
2.1
28.6
19.5
15.4
15.4

51.2 		13.9
9.3

Determine whether or not the variance in mileage driven is statistically the same among the working class and professional (middle income) groups. Use a 5% significance level.

Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20commutes. The first worker鈥檚 times have a variance of 12.1. These coworkers' times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times. Test the claim at the10% level. Assume that commute times are normally distributed. What is the F statistic?

What isMSbetween?

A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown in the Table.

Group AGroup BGroup C10115110110814910998160198107112186111126160

What is Fstatistic?

Are the means for the final exams the same for all statistics class delivery types? Table 13.25 shows the scores on final exams from several randomly selected classes that used the different delivery types

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.
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