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Chapter 13: Q.13.37 (page 542)

In each part, specify what type of analysis you might use.

a. To study the effect of one factor on the mean of a response variable

b. To study the effect of two factors on the mean of a response variable

Short Answer

Expert verified

a). It's a method of analyzing the impact of one factor on the mean of a response variable.

b). It's a method of analyzing the impact of two variables on the mean of a response variable.

Step by step solution

01

Part (a) Step 1: Given Information

Consider examining the impact of one factor on the response variable's mean.

02

Part (a) Step 2: Explanation

The one-way ANOVA can be used to compare the means of populations classified by a single factor. It's a method of analyzing the impact of one factor on the mean of a response variable.

03

Part (b) Step 1: Given Information

Consider examining the impact of two factors on a response variable's mean.

04

Part (b) Step 2: Explanation

To compare the means of populations classified based on two factors, we can use two-way ANOVA. It's a method of analyzing the impact of two variables on the mean of a response variable.

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Most popular questions from this chapter

Show that, for two populations, MSE=sp2, where sp2is the pooled variance defined in Section 10.2 on page 407 . Conclude thatMSE is the pooled sample standard deviation, sp.

Fish of Lake Laengelmaevesi. An article by J. Puranen of the Department of Statistics, University of Helsinki, discussed a classic study on several variables of seven different species of fish caught in Lake Laengelmaevesi, Finland. On the Weiss Stats site, we present the data on weight (in grams) and length (in centimeters) from the nose to the beginning of the tail for four of the seven species. Perform the required parts for both the weight and length data.

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)

Regarding one-way ANOVA, fill in the blanks in each of Exercises 13.15-13.17
13.16 A measure of variation within the samples is called the--------

The mathematical abbreviation for it is----------

13.19 What does the term one-way signify in the phrase one-wayANOVA?

Consider a F-curve with df=(2,14)

DetermineF0.05.
See all solutions

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