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Answer the 3 questions. Please note in bold black are the answers to choose from Patterns in partial tables Select the correct entries from the

Answer the 3 questions. Please note in bold black are the answers to choose from

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.

1. Complete the blanks that are in the table. It has an answer key under the blanks.

Compared with Bivariate Table, Partial Tables Show Pattern Implications for Further Analysis Likely Next Step
Same relationship between X and Y (gammas for partial tables within 0.10 of bivariate gamma)

______

Answer Key: (Direct, Interaction, Spurious/Intervening)

______

Answer Key: (Disregard Z or Incorporate Z)

Analyze another Z variable
Weaker relationship between X and Y (gammas from partial tables at least 0.10 weaker than bivariate gamma)

_____

Answer Key: (Direct, Interaction, Spurious/Intervening)

_______

Answer Key: (Disregard Z or Incorporate Z)

Focus on relationship between Z and X or among X, Y, and Z
Mixed (at least 0.10 difference in gammas between partial tables and between partial tables and bivariate table)

_____

Answer Key: (Direct, Interaction, Spurious/Intervening)

_____

Answer Key: (Disregard Z or Incorporate Z)

Analyze subgroups (categories of Z) separately

Consider the following bivariate table showing the relationship between the number of missed work days (frequency of absence: low or high) and the amount of monthly sales (classified as either low or high, based on company-wide averages) among sales personnel at a car dealership.

Frequency of Absence (X)
Monthly Sales (Y) Low High Totals
Low 61 (59.8%) 59 (35.5%) 120
High 41 (40.2%) 107 (64.5%) 148
Totals 102 (100.0%) 166 (100.0%) 268
Gamma = +0.4592

2. The data in the table suggest that there is _______ (perfect, no, positive, negative) association between the number of missed work days (X) and the amount of monthly sales (Y).

Here are the partial tables showing the bivariate relationship between X and Y after controlling for level of education.

A. High School

Frequency of Absence (X)
Monthly Sales (Y) Low High Totals
Low 17 (54.8%) 4 (8.0%) 21
High 14 (45.2%) 46 (92.0%) 60
Totals 31 (100.0%) 50 (100.0%) 81
Gamma = +0.8663

B. College

Frequency of Absence (X)
Monthly Sales (Y) Low High Totals
Low 44 (62.0%) 55 (47.4%) 99
High 27 (38.0%) 61 (52.6%) 88
Totals 71 (100.0%) 116 (100.0%) 187
Gamma = +0.2876

3. Compared with the bivariate table, the partial tables show _____ ( a stronger, a mixed, the same, a weaker) relationship between the number of missed work days and the amount of monthly sales. This is evidence of _______ (a diect, a spurious or intervening, an interactive, a fallacious) relationship between the X and Y variables and implies that you should _____ (elaborate, incorporate, disregard, modify) the variable Z (level of education) in further analysis.

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