Exam 18: Determining and Interpreting Associations Among Variables

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The Pearson Product Moment correlation measures the linear relationship between two interval-scaled and/or ratio-scaled variables.

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Frequencies tables, part of cross-tabulation, contain raw data.

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The manager of the city's professional hockey team conducted a large survey. He wanted to know if there was an association between fans being "season ticket holders" versus "non-season ticket holders" and whether they "bought" versus "didn't buy" hockey team merchandise at the game. Because his survey included these measurements, he used SPSS to run a cross-tabulation analysis and selected the chi-square test to test for the significance of any association. The Pearson Chi-Square turned out to be 81.6 with an Asymp. Sig. value of .001. This meant there is a significant relationship.

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Which type of relationship would you have when you have a general direction assigned to the relationship; that is, as one variable increases, the other variable may increase (or decrease)?

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We would use cross-tabulation if we wanted to visualize the nonmonotonic relationship between two nominal scaled variables.

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Which type of relationship is described by relationships that may be S-shaped or J-shaped?

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Associative analyses determine whether stable relationships exist between:

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Regardless of the size of the correlation value, if it is not significant, it is meaningless.

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Significant association relationships are always causal.

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What type of analysis would be used to answer a question such as "Which customer demographic is most strongly related to product purchase/nonpurchase"?

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The chi-square analysis would be appropriate to determine if there is an association between the number of dollars spent on books and the number of years of education.

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If you have a significant and very strong correlation, greater than .90, you may assume there is a causal relationship between the two variables.

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Which of the following is used when describing the general pattern of nonmonotonic relationships?

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In the textbook you were given an example of running a chi-square test using SPSS. The output shows a "Pearson Chi-Square" value of 23.272, df = 7 and the Asymp. Sig. = .002. This means:

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Chi-square analysis always begins with the assumption that no association exists between the two nominal scaled variables under analysis.

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What is used to determine whether a nonmonotonic relationship exists between two nominal-scaled variables?

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If you were to find a significant association between two nominally scaled variables, a good way to present the findings in your cross-tabulation table would be to use:

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Generally speaking, the chi-square value is calculated by dividing the sum of the squared differences between observed and expected frequencies by the expected frequencies.

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If you wished to compute a Pearson Product Moment correlation coefficient using SPSS, which command sequence would you use?

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Which of the following are caveats of correlation?

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