# ANOVA: Educating Elementary Aged Children in Math

See the attached data file.

The post hoc tests discussed in our text book (Discovering Statistics Using SPSS by Andy Fields) include, Tukey, Bonferroni, Hochberg's GT2 and Games Howell.

The file contains a dataset of a researcher interested in finding the best way to educate elementary age children in mathematics. In particular, she thinks 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 students

Score - final score on the statewide competency assessment.

Conduct the following:

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. Explain the data once you have done this.

c. Create a table that presents descriptive statistics for the sample.

2. Factorial ANOVA. Perform a factorial ANOVA using the 'Activity 6.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. Discuss both main effects and the presence/absence of an interaction between the two.

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#### Solution Preview

See the attached files.

Please find the attached answer. However, the post-hoc test results for the interaction effect is missing. There are various ways for conducting post-hoc tests for interaction effects. some of which are more complex than others. If you could please send me a ...

#### Solution Summary

The solution discusses finding the best way to educate elementary aged children in math.