Information about the data set for Q1 and Q2:

This data set (in worksheet "Q1 and Q2) was adapted from a survey study conducted by the US Department of Education. A large sample of schools across the country participated in the study and our data set here contains the data from high schools in the western region of US. Only selected variables are included in our data set. The worksheet "Codebook" contains descriptions and values for the variables.

Q1. Perform and Interpret a One-Way ANOVA (20 points total)

Create an SPSS data file from the data set. Make sure the SPSS data file meets the following criteria: (2 points total: deduct .5 for each error up to 2 points total)

- All variables are present in the data tile under the "Data View"

- All variables are configured correctly in "Measure" under the "Variable View"

- The "Values" of the variables, "Community" and "Religion," should be specified under "Variable View"

Examine the relationship between the type of community in which a school is located ("Community"-Community type) and percentage of their students going to 4-year colleges after graduation ("PCollege"-Percent to 4-year college). In other words, we want to know whether the percentage of students going to 4-year colleges differs among city schools, suburb schools, and town/rural schools. Run a One-Way ANOVA to answer the research question. Be sure to request descriptive statistics on the variables and include the test for homogeneity of variances.

A. What is the null hypothesis (in words)? What are the DV and IV? (2 points total)

B. Was the test for homogeneity of variances significant? What does it tell us about the ANOVA assumption of equal variances among the groups? (2 points total)

- Be sure to paste the relevant output table here to support the answer.

C. Report the results of the one-way ANOVA using symbols in the APA format. Be sure to include the F statistic, the p value, and the effect size ². (6 points total: 2 points each)

- Be sure to paste the relevant output table here to support the answer.

D. Make a decision about the null hypothesis (reject or fail to reject) and then

write 1-2 sentences to directly answer the research question above based on the ANOVA result. (2 point, 1 for each question)

E. If post hoc analysis was necessary, discuss the findings. If post hoc analysis was not necessary, skip this question and go to question F.

1. Which test was used to compare the groups? (1 point)

2. Where were the significant differences? (Be specific about which group has significantly higher or lower percentage of college-going students compared to which group.) (2 points total)

F. If post hoc analysis was not necessary, plot a bar graph to show the mean percentages of college-going students for the three community types. (3 points)

Q2. Comparing One-Way ANOVA with Independent-Samples t Test (12 points total)

Use the same data set ("Q1 and Q2") for this question set. Among the high schools, some have a religious orientation while others do not ("Religious"-Does school have a religious affiliation). Perform data analysis to compare these two types of schools in terms of the number of hours of a school day for students ("SchoolHours"-Hours in school day for students).

A. Run a one-way ANOVA to answer the research question.

1. Report the results using symbols in the APA format. Be sure to include the F statistic, the p value, and the effect size ². (3 points)

-Be sure to paste the relevant output table to support your answer.

2. Would you reject the null hypothesis? What is the answer to the research question? (1 point)

B. Run an independent-samples t test to answer the research question.

1. Report the results using symbols in the APA format. Be sure to include the t statistic, the p value, and the effect size d. (3 points)

-Be sure to paste the relevant output tables here to support your answer.

2. Would you reject the null hypothesis? What is the answer to the research question? (1 point)

C. Compare the SPSS output tables for the two different tests.

1. Point out two differences between the results of the two tests. (2 points)

Note: Any visible difference in the SPSS output is acceptable.

2. Point out two similarities between the results of the two tests. (2 points)

Note: Any visible similarity in the SPSS output is acceptable.

Q3. Perform and interpret a one-way repeated-measures ANOVA (Total: 13 points)

For this question set, import the worksheet "Q3" into SPSS to create a data file. (1 point, deduct .5 for each error up to 1 point total)

This data set was adapted from one of my own experiments. In this experiment, I examined people's memory for colors of drawings of ordinary objects and the associated EEGs (brain waves). Because I needed to have a large number of trials to analyze the EEGs properly and people couldn't possibly remember that many pictures all at once, I tested the subjects in 4 memory sessions.

The data set shows the percent correct for each subject in the four sessions. Because color memory test is a relatively difficult task, it is of interest to me to see if there were significant differences across the sessions in color memory performance. If there were changes in the upward direction, it may indicate some practice effect in the subjects' color memory performance. For this question, perform a one-way repeated-measures ANOVA with the factor of "session" (4 levels) and the DV of color memory score.

A. Formulate the null hypothesis (in words) for my research question. (1 point)

B. Run the one-way repeated-measures ANOVA in SPSS to test the hypothesis and answer the research question.

1. Determine if the assumption of sphericity has been met by our data. Report the test of sphericity result to support your answer (p value). (2 points total: Answer=1, statistics=1)

- Be sure to paste the relevant output tables here.

2. Report the test result (including F statistic, p value, and partial h²). Be sure to paste the relevant output tables here to support your answer.

(3 points total: hypothesis test result=1, statistics format=1, statistics accuracy=1)

3. Do you reject the null hypothesis? What is the answer to the research question?

(2 points total, 1 for each question)

4. Request simple contrasts for the variable of "session" if you did not do so when you ran the ANOVA. Examine the contrasts and discuss your observation regarding any changes or lack of changes between the different sessions. Be sure to paste the relevant output table here to support your answer.

(2 points total: discussion of significant differences=1, discussion of non-significant differences=1)

5. Request a plot to show the color memory performance from session 1 to session 4. What information does this graph provide in addition to the test results reported above? Be sure to paste the graph here to support your answer. (2 points: 1 point for the plot, 1 point for the answer)