Course Name & Assignment Number
One-Way-Anova and Nonparametric Kruskal-Wallis-Test
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Institution Affiliation
Date
11/03/2021 1
Course Name & Assignment Number
Table of Contents
A8.1a: Chapter 11, Problem 11.1, One‐Way (or Single Factor) ANOVA......................................3
A8.1b: Chapter 11, Problem 11.2....................................................................................................7
A8.2: Chapter 11, Problem 11.3, Nonparametric Kruskal‐Wallis Test.........................................11
A8.3: Chapter 11, Problem 11.4, Two‐Way (or Factorial) ANOVA............................................12
A8.4, Application Problem ‐ ANOVA..........................................................................................14
Exploring the Potential Difference in the Students’ Scholastic Aptitude Test (Satm)
Mean Scores Based Upon Ethnicity (Ethnic)........................................................................14
Exploring the potential difference in students’ heights based upon gender and marital
status. Examine any potential interaction between gender and marital status..................18
References......................................................................................................................................21
11/03/2021 2
Course Name & Assignment Number
A8.1a: Chapter 11, Problem 11.1, One‐Way (or Single Factor) ANOVA
The analysis of variance is used to determine whether there exist differences between
several independent variables with one dependent variable. The assumptions made for this test is
that the dependent variable is normally distributed, there are equal variances in all the
observations, and the predictor variables are independent of each other (Morgan et al., 2013).
The following are the One-way ANOVA results where the response variable is father’s
education while the independent variables are maths achievement tests, grades in high school,
and visualization tests scores;
Test of Homogeneity of Variances
