Posted: September 13th, 2017

ANCOVA and Factorial ANOVA

Application ? ANCOVA and Factorial ANOVA

You will submit one Word document for this activity. You will create this Word document by cutting and

pasting SPSS output into Word.

This Activity consists of two parts. In the first part, you will utilize an existing dataset to compute a

factorial ANOVA. All SPSS output should be pasted into your Word document. In the second part, you will

be asked to create a hypothetical ANCOVA output table for variables related to your area of research

interest.

Part A. SPSS Activity
The ?Activity 5.sav? file contains a dataset of a researcher interested in finding the best way to educate

elementary age children in mathematics. In particular, she believes that 5th grade girls do better in

small class sizes while boys excel in larger classes. Through the school district, she has arranged a pilot

program in which some classroom sizes are reduced prior to the state-wide mathematics competency

assessment. In the dataset, you will find the following variables:
Participant: unique identifier
Gender: Male (M) or Female (F)
Classroom:
Small (1) ? no more than 10 children
Medium (2) ? between 11 and 19 children
Large (3) ? 20 or more children
Score: final score on the statewide competency assessment.

To complete this Activity
1. Exploratory Data Analysis.
a. Perform exploratory data analysis on all variables in the data set. Realizing that you have six groups,

be sure that your exploratory analysis is broken down by group. When possible, include appropriate

graphs to help illustrate the dataset.
b. Compose a one to two paragraph write up of the data.
c. Create an APA style table that presents descriptive statistics for the sample.

2. Factorial ANOVA. Perform a factorial ANOVA using the ?Activity 5.sav? data set.
a. Is there a main effect of gender? If so, explain the effect. Use post hoc tests when necessary or explain

why they are not required in this specific case.
b. Is there a main effect of classroom size? If so, explain the effect. Use post hoc tests when necessary

or explain why they are not required in this specific case.
c. Is there an interaction between your two variables? If so, using post hoc tests, describe these

differences.
d. Is there support for the researcher?s hypothesis that girls would do better than boys in classrooms

with fewer students? Explain your answer.
e. Write up the results in APA style and interpret them. Be sure that you discuss both main effects and

the presence/absence of an interaction between the two.

Part B. Applying Analytical Strategies to an Area of Research Interest
3. Briefly restate your research area of interest.

Analysis of Covariance. Using your area of interest, identify one independent and two dependent

variables, such that the dependent variables would likely be covariates. Now, assume you conducted an

ANCOVA that shows both the independent variable as well as the covariate significantly predicts the

dependent variable. Create a mock ANCOVA output table (see SPSS Output 11.3 in your text for an

example) that supports the relationship shown above.

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