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Understanding ANOVA: Key Concepts and Post Hoc Tests

This quiz focuses on the fundamental concepts of Analysis of Variance (ANOVA) and its applications. It covers critical F-values, necessary conditions before conducting ANOVA, correct F-ratios, appropriate tests for comparing groups, characteristics of the F-distribution, and the interpretation of SPSS output in relation to defects and appliance brands. Additionally, it explores various post hoc tests to determine the most conservative options with the least power. Test your knowledge and strengthen your understanding of these essential statistical methods.

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Understanding ANOVA: Key Concepts and Post Hoc Tests

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  1. Quiz 11 • Analysis of Variance (ANOVA) • post hoc tests

  2. 1. What is the critical F value for a study involving the means of 4 groups of 10 people each given a=0.05? a) 8.6166 b) 8.5944 c) 2.9223 d) 2.8387

  3. 2. Which condition is not necessary before conducting an ANOVA? a) data must be normally distributed or nearly b) groups must be dependent c) group variances must be equal (i.e., variances are homogeneous) d) data must come from random sampling

  4. 3. What is the correct F-ratio for the following ANOVA summary table given 10 subjects per group and 4 groups? a) 0.454 b) 6.049 c) 4.537 d) 5.444

  5. 4. Which is the correct test to use when you want to compare three groups of different participants and the data are normally distributed data? a) Kruskall-Wallis b) t-test for independent groups c) analysis of variance d) test of independence

  6. 5. The F-distribution is a distribution with all the following characteristics excepting _______? a) area under curve is equal to one b) distribution is symmetrical c) is skewed positively d) it is asymptotic to the right

  7. 6. Given the following SPSS output what can you conclude about the relationship between number of defects (DV) and brand of appliance (IV)? a) there is at least one significantly different group b) all groups are significantly different c) all groups have equal means

  8. 7. Which post hoc test is the most conservative and has the least power? a) Scheffé b) Tukey HSD c) Bonferroni d) Duncan’s multiple range

  9. 8. Given the following SPSS output which is the correct conclusion? a) E different from VG b) no differences c) E different from G d) VG different from G

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