# Two Way Factorial ANOVA Discussion

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### Question Description

Previously, you developed three different research questions that could be addressed using a one-sample, dependent samples, or independent samples t-test. Next, you expanded the research question that should be addressed using the independent samples t-test, to include more than two groups. In this unit you will further expand your One-Way ANOVA question to include two independentvariables.

1. Two-Way (factorial) ANOVA: Expand your research question from Unit 7 to include a second independent variable with at least two groups (levels). Write out your new expanded research question. List and describe both of your independent variables and the levels or groupings within each independent variable. Also note your dependent variable.
2. Define your Choices: Why you have chosen to investigate these two independent variables? How do you think they will affect your dependent variable?
3. Testing and Predicted Results: What type of interaction do you expect to see between your independent variables? How might this interaction affect the dependent variable?
4. Predict Results: Predict and share your hypothetical results and conclusions for all of your groups and interactions. Write a paragraph describing the final conclusion of your research assuming that you reject all of the null hypotheses (Ho1, Ho2, and Ho3). Be sure to talk about what the Post Hoc test might show in this case and the possible interactions between your two independent variables with respect to your dependent variable. While you are welcome to use SPSS, it is not required for this Discussion.

ephykam
School: Purdue University

Attached.

1

Two-Way ANOVA Test
Student’s Name
Institutional Affiliation

TWO-WAY ANOVA

2
Two-Way ANOVA Test

A. Aron, Coups, and E. Aron note that two-way ANOVA is a statistical technique that
compares the mean differences between groups split into two unrelated factors (2013). As a
result, two-way ANOVA assists in exploring the existence of an interaction between two
independent attributes on a dependent variable.
1. Two-Way (factorial) ANOVA
Research Question
Is there a difference in mean salaries in differing employee’s position and their level of
education?
Variables
The dependent attribute in the research will be the employees’ Salaries, while the
independent variables comprise of worker's position and their level of education. The variable
worker's position contains four factors, which are a manager, supervisor, clerk, and casual while
the level of education includes five elements, which are doctorate, masters, Bachelor degrees,
college, and high school education.
II. Definition of Choices
The choices of the independent vari...

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