# Application of chi square test, analysis of variance, and regression

For each of the problems, just do what is listed as required under each problem:

1. Suppose Smith and Wilson is a relatively small West Coast advertising agency. Assume that they have hired you to help in their newly established advertising research department. Your first task is to evaluate the results of a copy test for a new consumer product. Three different versions of the advertisement were prepared and each was shown to a random sample of 10 people (three different groups). After the commercial was shown, each consumer's attitude toward the product was measured on a scale of 1 to 100 (the higher the score, the more favorable the attitude).

A. Identify and list the variables for analysis required to address the question/problem. For each variable, indicate how you would measure the variable (just list a few typical values, and the maximum and minimum values if the variable is quantitative - do not discuss a measurement process/procedure), whether the variable is qualitative or quantitative, and whether it is dependent or independent.

B. Specify the analysis required to address the question/problem (just place a mark next to the right answer below):

Chi-Square test of independence

Analysis of variance (ANOVA)

Something other than the two listed above

C. Discuss briefly why you believe the analysis specified is correct.

2. The National Restaurant Association is interested in determining if there is a relationship between the type of pizza pie which Americans prefer and the region of the country in which they live. The association randomly selects 285 Americans and records the category of pizza pie which best describes their preference and the region of the country in which they live.

A. Identify and list the variables for analysis required to address the question/problem. For each variable, indicate how you would measure the variable (just list a few typical values, and the maximum and minimum values if the variable is quantitative - do not discuss a measurement process/procedure), whether the variable is qualitative or quantitative, and whether it is dependent or independent.

B. Specify the analysis required to address the question/problem (just place a mark next to the right answer below):

Chi-Square test of independence

Analysis of variance (ANOVA)

Something other than the two listed above

C. Discuss briefly why you believe the analysis specified is correct.

3. A political analyst is interested in studying the relationship between age and political affiliation. The analyst randomly selects 200 people and determines their age and political affiliation.

A. Identify and list the variables for analysis required to address the question/problem. For each variable, indicate how you would measure the variable (just list a few typical values, and the maximum and minimum values if the variable is quantitative - do not discuss a measurement process/procedure), whether the variable is qualitative or quantitative, and whether it is dependent or independent.

B. Specify the analysis required to address the question/problem (just place a mark next to the right answer below):

Chi-Square test of independence

Analysis of variance (ANOVA)

Something other than the two listed above

C. Discuss briefly why you believe the analysis specified is correct.

4. Managers at all levels of an organization need adequate information to perform their respective tasks. One study investigated the effect the source has on the dissemination of the information. In this particular study the sources of information were a superior, a peer, and a subordinate. In each case, a measure of dissemination was obtained, with higher values indicating greater dissemination of information.

A. Identify and list the variables for analysis required to address the question/problem. For each variable, indicate how you would measure the variable (just list a few typical values, and the maximum and minimum values if the variable is quantitative - do not discuss a measurement process/procedure), whether the variable is qualitative or quantitative, and whether it is dependent or independent.

B. Specify the analysis required to address the question/problem (just place a mark next to the right answer below):

Chi-Square test of independence

Analysis of variance (ANOVA)

Something other than the two listed above

C. Discuss briefly why you believe the analysis specified is correct.

5. A high school principal is interested in studying the relationship between the SAT score and family income of students.

A. Identify and list the variables for analysis required to address the question/problem. For each variable, indicate how you would measure the variable (just list a few typical values, and the maximum and minimum values if the variable is quantitative - do not discuss a measurement process/procedure), whether the variable is qualitative or quantitative, and whether it is dependent or independent.

B. Specify the analysis required to address the question/problem (just place a mark next to the right answer below):

Chi-Square test of independence

Analysis of variance (ANOVA)

Something other than the two listed above

C. Discuss briefly why you believe the analysis specified is correct.

#### Solution Summary

The solution gives a detailed discussion on the application of chi square test for independence, analysis of variance, and regression analysis under 5 cases.