MATHEMATICS
Part 1:
Green & Salkind: Lesson 31, Exercises 1–4
The following helpful tips are numbered to correspond with the exercise number to which they refer (a dash indicates that no tips are needed):
1. ——— (2 pts for output and 2 pts each for a–c)
2. Answer this question in sentence form. Include the correlation (r) and degrees of freedom, the p value, and whether these values indicate a significant correlation between the variables or not. (2 pts)
3. All homework “Results sections” must follow the example given in the Course Content document “Writing Results of Statistical Tests in Current APA Format” (Note: you do not have to refer to a figure). (2 pts)
4. ——— (2 pts)
Part 2:
1. A clinical psychologist would like to determine whether there is a relationship between observer ratings of children’s externalizing behaviors and scores on an established diagnostic interview assessing externalizing disorders (like ADHD, CD, etc.). He administers the diagnostic interview to 28 children and records these scores. He then trains an observer to independently rate carefullydefined externalizing behaviors for each of the 28 children. These scores are totaled for an overall “externalizing behavior index.” On both the interview and the behavioral ratings, a higher score indicates higher levels of externalizing behavior. These scores are listed in the table below. Conduct a Pearson correlation coefficient analysis to determine whether there is a relationship between the interview scores and behavioral ratings for this group of children.
The steps will be the same as the ones you have been practicing in Part One of the assignment—the only difference is that you are now responsible for creating the data file as well. Remember to name and define your variables under the “Variable View,” then return to the “Data View” to enter the data.
Interview (Range 0 to 9)  Externalizing Behavior Index (Range 0 to 25) 
3  7 
2  9 
4  6 
9  22 
7  20 
6  12 
4  10 
8  9 
3  5 
4  7 
2  5 
1  3 
6  16 
8  19 
7  21 
7  22 
1  4 
2  7 
3  7 
3  3 
5  13 
8  19 
7  16 
4  12 
3  9 
6  18 
5  14 
3  9 
a) SPSS output (2 pts)
b) Create a simple scatterplot of the relationship between these variables (define interview scores as the xaxis and behavioral ratings as the yaxis). (2)
c) Write a current APAstyle Results section based on your analyses. All homework “Results sections” must follow the example given in the SPSS tutorials and the Course Content document “Writing Results of Statistical Tests in APA Format” (note: you do not have to refer to a figure). Remember to include a decision about the null hypothesis. For a correlation analysis, also be sure to include the direction of the relationship between the variables (positive? negative? none?) in your section. (2)
2. A neuropsychologist is assessing the relationship between brain function and performance on a visuospatial task. He administers a test to 14 patients on which scores can range from 1 to 20: a high score indicates normal brain function, and a low score indicates some levels of brain dysfunction. He then asks each patient to complete a maze and records the number of mistakes the patient makes from start to finish. The scores are listed in the table below. Conduct a Pearson correlation coefficient analysis to determine what the relationship is, if any, between brain function and performance on the maze task.
The steps will be the same as the ones you have been practicing in Part 1 of the assignment—the only difference is that you are now responsible for creating the data file as well. Remember to name and define your variables under the “Variable View,” then return to the “Data View” to enter the data.
Dysfunction Score  Number of Mistakes on Maze Task 
3  25 
8  18 
9  18 
4  26 
15  6 
6  19 
18  3 
17  4 
19  6 
6  16 
5  14 
20  2 
17  5 
5  23 
a) SPSS output (2)
b) Create a simple scatterplot of the relationship between these variables. (2)
c) Write a current APAstyle Results section based on your analyses. All homework “Results sections” must follow the example given in the SPSS tutorials and the Course Content document “Writing Results of Statistical Tests in APA Format” (note: you do not have to refer to a figure). Remember to include a decision about the null hypothesis. For a correlation analysis, also be sure to include the direction of the relationship between the variables (positive? negative? none?) in your section. (2)
Part 3: Cumulative Homework
1. A developmental psychologist is studying whether students in a certain preschool program perform better than preschoolers in the state in general on a measure of reading readiness. The mean score for preschoolers in the state on the measure is 83. The psychologist tests the preschoolers in the program and records the scores in the table below. Choose the correct test to analyze this question, set up the SPSS file, and run the analysis. Follow the directions under the table below.
Reading Readiness Scores 
90
78 86 91 78 91 88 72 76 88 88 91 76 89 92 
a) Paste appropriate SPSS output. (3)
b) Paste appropriate SPSS graph. (2)
c) Write an APAstyle Results section based on your analyses. All homework “Results sections” should follow the example given in the SPSS tutorials and the Course Content document “Writing Results of Statistical Tests in APA Format” (note: you do not have to refer to a figure). Remember to include a decision about the null hypothesis. (3)
2. In a study of the relationship between girls’ playtime activities and selfesteem, 16 girls in a fourthgrade class are selected and randomly assigned to one of two groups. One group plays with a selection of Barbie™ dolls for one hour, and the other group plays with a selection of toy animal figures. At the end of the hour, the girls are given a verbal interview designed to measure selfesteem. Scores range from 1–12, and higher scores = higher feelings of selfesteem. Is there a significant difference between the groups on feelings of selfesteem? Choose the correct test to analyze this question, set up the SPSS file, and run the analysis. Follow the directions under the table below.
Barbie™ Group 
4
5 7 9 6 10 4 6 5 
Toy Animal Group 
8
8 5 11 10 7 7 9

a) Paste appropriate SPSS output. (2)
b) Paste appropriate SPSS graph. (2)
c) Write an APAstyle Results section based on your analyses. All homework “Results sections” should follow the example given in the SPSS tutorials and the Course Content document “Writing Results of Statistical Tests in APA Format” (note: you do not have to refer to a figure). Remember to include a decision about the null hypothesis. 2)
This assignment is due by 11:59 p.m. (ET) on Monday of Module/Week 5.