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Attempts Keep the Highest / 3 2. Patterns in partial tables Select the correct entries from the dropdown menus to complete the following table

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Attempts Keep the Highest / 3 2. Patterns in partial tables Select the correct entries from the dropdown menus to complete the following table of possible results when analyzing the effect of a third variable Z on the relationship between two variables X and Y. Compared with Bivariate Table, Partial Tables Show Same relationship between X and Y (gammas for partial tables within 0.10 of bivariate gamma) Weaker relationship between X and Y (gammas from partial tables at least 0.10 weaker than bivariate gamma) Mixed (at least 0.10 difference in gammas between partial tables and between partial tables and bivariate table) Pattern Implications for Further Analysis Likely Next Step Analyze another Z variable Focus on relationship between Z and X or among X, Y, and Z Analyze subgroups (categories of Z) separately Consider the following bivariate table showing the relationship between job satisfaction (low or high) and longevity, that is, the time working for the company (low less than 2 years, high 2 years or more), among workers for a fast-food chain. = = Job Satisfaction (X) Longevity (Y) Low High Totals Low 43 (51.2%) 31 (22.8%) 74 High 41 (48.8%) 105 (77.2%) 146 Totals 84 (100.0%) 136 (100.0%) 220 Gamma +0.5607 The data in the table suggest that there is association between job satisfaction (X) and longevity (Y). Here are the partial tables showing the bivariate relationship between X and Y after controlling for level of education. A. High School Longevity (Y) Job Satisfaction (X) Low High Totals Low 12 (48.0%) 2 (4.9%) 14 High 13 (52.0%) 39 (95.1%) 52 Totals 25 (100.0%) 41 (100.0%) 66 Gamma +0.8947 B. College Job Satisfaction (X) Longevity (Y) Low High Totals Low 31 (52.5%) 29 (30.5%) 60 High 28 (47.5%) 66 (69.5%) 94 Totals 59 (100.0%) 95 (100.0%) 154 Gamma = +0.4318 Compared with the bivariate table, the partial tables show relationship between the X and Y variables and implies that you should relationship between job satisfaction and longevity. This is evidence of the variable Z (level of education) in further analysis.

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