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Running head: QUANTITATIVE RESEARCH METHODS – ASSIGNMENT 8 Assignment 8 Valentin Bikibili Liberty University BUSI 820 Quantitative Research Methods - Online Submitted to: Dr. Hussey, Shawn 03/06/2020
QUANTITATIVE RESEARCH METHODS - ASSIGMENT 8 Table of Contents Pages A8.1a: Chapter 11, Problem 11.1, One‐Way (or Single Factor) ANOVA 3 A8.1a1: Narration of the Process 3 A8.1a2: Interpretation of the Findings 4 A8.1b: Chapter 11, Problem 11.2, Post Hoc Multiple Comparison Tests 5 A8.1b1: Narration of the Process 5 A8.1b2: Interpretation of the Findings A8.1c: Chapter 11, Problem 11.1 & 11.2 One‐Way ANOVA with Post Hoc Tests 8 A8.2: Chapter 11, Problem 11.3, Nonparametric Kruskal‐Wallis Test 8 A8.2a: Narration of the Process 8 A8.2b: Interpretation of the Findings 10 A8.3: Chapter 11, Problem 11.4, Two‐Way (or Factorial) ANOVA 11 A8.3a: Narration of the Process 11 A8.3b: Interpretation of the Findings 13 A8.4, Application Problem ‐ ANOVA 14 A8.4a1: Narration of the Process 14 A8.4a1: Interpretation of the Findings 16 Output Tukey HSD Post Hoc 17 A8.4a2: Narration of the Process 17 A8.4a2: Interpretation of the Findings 19 Output: Games-Howell Post Hoc Test 19 A8.4a3: Narration of the Process 19 A8.4a3: Interpretation of the Findings 20 Two‐Way ANOVA 20 A8.4b: Narration of the Process 20 A8.4b: Interpretation of the Findings 23 References 25 2 03/06/2020
QUANTITATIVE RESEARCH METHODS - ASSIGMENT 8 Assignement 8 A8.1a: Chapter 11, Problem 11.1, One‐Way (or Single Factor) ANOVA. A8.1a1: Narration of the Process In this problem I will examine a statistical technique for comparing two or more independent groups on the dependent variable. Output 11.1 One-Way ANOVA Table 1: Descriptive Statistics 3 03/06/2020
QUANTITATIVE RESEARCH METHODS - ASSIGMENT 8 Table 2: Test of Homogeneity of Variances Table 3: ANOVA A8.1a2: Interpretation of the Findings The Descriptives table provides familiar descriptive statistics for the three father’s education groups on each of the three dependent variables (grades in h.s., visualization test, and math achievement) that was requested for these analysis (Morgan et al., 2013). The Test of Homogeneity of Variances table provides the Levene’s test to check the assumption that the variances of the three father’s education groups are equal for each of the dependent variables. That table shows the significance level for the three variables as follows: grades in high school p = .220, visualization p = .153, and math achievement p = .049 all of which are statistically significant except for the math achievement scores . The ANOVA table is the key table because it shows whether the overall Fs for these three ANOVAs were statistically significant. Note the three father’s education groups differ on grades in h.s. and math achievement but not visualization test. The results show, grades in high school F (2, 70) =4.09, p = .021; visualization 4 03/06/2020
QUANTITATIVE RESEARCH METHODS - ASSIGMENT 8 test F (2, 70) = .763, p = .470; and math achievement F (2, 70) = 7.88, p = .001 (Morgan et at., 2013).