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
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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
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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).