Exam 14: Analysis of Variance

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Describe the interaction effect shown in this plot.  

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Your research hypothesis is "In the population, first stays in the U.S. by unauthorized immigrants are on average longer than second stays in the U.S. by these same immigrants." What type of hypothesis test should be used?

(Multiple Choice)
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Your one-way ANOVA research hypothesis was that average years of schooling (EDUC) differed between strong Republicans, Independents, and strong Democrats. On the basis of the following output, which pairs of groups significantly differ? Multiple Comparisons EDUC Tukey HSD (I) POLPARTY (J) POLPARTY Mean Difference (1- Std. Error Sig. 1 strong Republican 4 independent 1.64 .602 .018 7 strong Democrat -471 .606 .718 4 independent 1 strong Republican -1.64 .602 .018 7 strong Democrat -2.11 .511 .000 7 strong Democrat 1 strong Republican 471 .606 .718 4 independent 2.11 .511 .000 ∗* . The mean difference is significant at the 0.050.05 level.

(Multiple Choice)
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Answer the questions that follow this SPSS output: Descriptive Statistics Dependent Variable: EARNIN04 Total Waoes and Salaries in 2004 RACE FEMALE Mean Std. Deviation 1 Hispanic 0 no (male) 41285.98 42998.204 44 1 yes (female) 24631.31 24530.302 36 Total 33791.38 36639.398 80 2 Black, not Hispanic 0 no (male) 36485.53 41976.763 53 1 yes (female) 18507.82 19089.535 90 Total 25170.89 30815.198 143 3 White, not Hispanic 0 no (male) 61171.53 63147.153 379 1 yes (female) 26921.99 30198.993 489 Total 41876.57 50405.556 868 4 Other, not Hispanic 0 no (male) 37740.00 25030.741 5 1 yes (female) 2250.00 4500.000 4 Total 21966.67 25898.552 9 Total 0 no (male) 56388.83 59902.208 481 1 yes (female) 25405.95 28619.045 619 Total 38953.92 47583.774 1100 Tests of Between-Subjects Effects Dependent Variable: EARNINO4 Total Wages and Salaries in 2004 Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 3.088+01 7 4.412+010 22.105 .000 Intercept 1.158+011 1 1.158+011 58.043 .000 RACE 4.130+010 3 1.377+010 6.897 .000 FEMALE 2.036+010 1 2.036+010 10.199 .001 RACE =FEMALE 1.203+010 3 4009953148 2.009 .111 Error 2.180+012 1092 1995908127 Total 4.158+012 1100 Corrected Total 2.488+012 1099 a. R Squared =.124= .124 (Adjusted R Squared =.118)= .118 ) You have done a two-way analysis of variance with earnings (EARNIN04) as the dependent variable and RACE and FEMALE as the factor variables. A) Is the overall model statistically significant? (yes / no) B) Is the interaction effect statistically significant? (yes / no / skipped) (If this step was skipped because of earlier conclusions, write the word "skipped" as your answer.) C) Is the main effect of RACE statistically significant? (yes / no / skipped) (If this step was skipped because of earlier conclusions, write the word "skipped" as your answer.) D) Is the main effect of gender(FEMALE) statistically significant? (yes / no / skipped) (If this step was skipped because of earlier conclusions, write the word "skipped" as your answer.)

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"The educational attainment difference between persons raised by a single parent and persons raised by two parents is larger for lower social class families than for upper social class families." This is a description of

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You want to know if two variables significantly interact in their effect on some variable. Which would be an appropriate procedure to use?

(Multiple Choice)
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On the basis of this output, which of the following is true? Tests of Between-Subjects Effects Dependent Variable:ABORTOK Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 214.22 11 19.475 5.594 .000 Intercept 1451.930 1 1451.930 417.071 .000 MARRIED 21.421 2 10.710 3.077 .049 RELINTEN 51.237 3 17.079 4.906 .003 MARRIED * RELINTEN 24.451 6 4.075 1.171 .326 Error 459.525 132 3.481 Total 3326.000 144 Corrected Total 673.750 143 a. R\mathrm { R } Squared =.318= .318 (Adjusted R Squared =.261= .261 )

(Multiple Choice)
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You are doing a two-way ANOVA. What level of measurement is required for the dependent variable?

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What is an interaction effect?

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