Question

What statistical test OR anova tests would you use for these questions?

1. As part of a marketing research project for a regional health advisory board, you have been asked to determine if any differences exist in the number of hours spent working out last year between employed and unemployed people. The variables to use in answering this question are FitnessHours (i.e. the total number of hours spent working out each year), and EmployStatus (i.e. employed, unemployed). Does the number of hours spent working out each year differ between employed and unemployed?

2. You work for a national budgeting service organisation that is interested in whether a person’s total personal income is associated with the level of money spent on gambling. The variables to use in answering this question are Income (i.e. a person’s total personal income) and GamblingsSpend (i.e. a person’s total spending on gambling activities). Is there an association between total personal income and how much they spend on gambling?

3. The tertiary education advisory board is interested in current attitudes within society toward gaining a university qualification. The advisory board believes that a person’s attitude toward university qualifications will be influenced by their age. The variables to use in answering this question are Age (i.e. 18-38, 39-59 or 60+), and Attitude (i.e. a person’s attitude toward gaining a university qualification). Attitude was measured on a seven-point semantic differential scale that was anchored 1=not at all important to 7=very important. Is there a relationship between age and attitude toward gaining a university qualification?

4. A new magazine, Cycling n’ Running NZ is about to be published. The magazines’ publishers are unsure whether readers of this magazine would be more interested in articles on cycling or articles on running. Accordingly, a study was conducted to find out how interested readers of this magazine would be in articles on either of these topics. The variables to use in answering this question are Cycling and Running. Potential interest in both topics was measured on a five-point semantic differential scale that was anchored 1=Very Uninterested to 5=Very Interested. Is there a difference in the extent of preference for articles about cycling compared to articles about running?

Answer 1

1. As part of a marketing research project for a regional health advisory board, you have been asked to determine if any differences exist in the number of hours spent working out last year between employed and unemployed people. The variables to use in answering this question are FitnessHours (i.e. the total number of hours spent working out each year), and EmployStatus (i.e. employed, unemployed). Does the number of hours spent working out each year differ between employed and unemployed?

Answer: Independent samples t test because we have two categories of independent variable EmployStatus and one dependent variable FitnessHours.

2. You work for a national budgeting service organisation that is interested in whether a person’s total personal income is associated with the level of money spent on gambling. The variables to use in answering this question are Income (i.e. a person’s total personal income) and GamblingsSpend (i.e. a person’s total spending on gambling activities). Is there an association between total personal income and how much they spend on gambling?

Answer: Correlation analysis because we want to measure the relationship between two continuous variables

3. The tertiary education advisory board is interested in current attitudes within society toward gaining a university qualification. The advisory board believes that a person’s attitude toward university qualifications will be influenced by their age. The variables to use in answering this question are Age (i.e. 18-38, 39-59 or 60+), and Attitude (i.e. a person’s attitude toward gaining a university qualification). Attitude was measured on a seven-point semantic differential scale that was anchored 1=not at all important to 7=very important. Is there a relationship between age and attitude toward gaining a university qualification?

Answer: Chi-square test for independence because we want to identify the relationship between two categorical variables

4. A new magazine, Cycling n’ Running NZ is about to be published. The magazines’ publishers are unsure whether readers of this magazine would be more interested in articles on cycling or articles on running. Accordingly, a study was conducted to find out how interested readers of this magazine would be in articles on either of these topics. The variables to use in answering this question are Cycling and Running. Potential interest in both topics was measured on a five-point semantic differential scale that was anchored 1=Very Uninterested to 5=Very Interested. Is there a difference in the extent of preference for articles about cycling compared to articles about running?

Answer: Independent samples t test because we have two categories of independent variable Articles and one dependent variable

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