Exam 18: Determining and Interpreting Associations Among Variables

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The four basic types of relationships between two variables are:

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When we present findings on cross-tabulations with chi-square analysis, we cannot use the characteristics of direction or strength because we are dealing with categorical, or nominal scaled, variables.

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The owner of a shoe store knows that as children increase in age, their shoe size tends to get larger. This is an example of what type of relationship?

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Pontiac wants to know what types of persons respond favorably to proposed style changes in the Firebird. Frito-Lay wants to know what kinds of people buy from the Frito-Lay line. These are questions that may be answered through:

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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. This value alone means:

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The characteristic of direction, in describing the relationship between two variables, is applicable only when the relationship is either monotonic or linear.

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In chi-square, the null hypothesis states that there is no association. When the "Asymp. Sig." on the SPSS output is low, this means there is low support for the null hypothesis.

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Both low-level and high-level scales can incorporate very precise linear relationships.

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The logic of the chi-square test would argue that, for a significant relationship to exist:

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When it comes to determining the statistical significance of the correlation coefficient, there are rules of thumb. For example, .81 to 1.00 is considered to be "strong."

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You do not have a "relationship" that links the labels (or levels)for two variables unless the relationship is:

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When the descriptors on a scale measure levels or amounts, that is, the level of sales dollars, the scale is categorical (nominal or ordinal).

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When the descriptors on a scale measure levels or amounts, that is, the level of sales dollars, the scale is metric (interval or ratio).

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The Pearson Product Moment correlation measures the linear relationship between two:

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