Cross-Tabulation and Chi-Square

PART 1: Cross-Tabulation and Chi-Square (35 points total)

For PART 1, you will compose a cross-tabulation, and test a hypothesis with a chi-square and appropriate measures of association in SPSS. You will need to select two appropriate variables for this portion of the assignment. NOTE: Be sure to select an independent and dependent variable. Also remember which levels of measurement are appropriate cross-tabs and chi-square tests. If you select variables with inappropriate levels of measurement, you may lose credit on this portion of the assignment.

Your α is set at 0.05

1. Report your 1) independent variable and 2) dependent variable. In a few sentences, explain why you think your independent variable might influence the dependent variable. (5 POINTS)
2. State the null and research hypothesis using words. (5 POINTS)
3. Perform a cross-tabulation of your variables in SPSS. Also have SPSS produce column percentages. In Word or Excel, produce your own cross-tabulation table with column percentages AND row/column totals table using the information gathered from SPSS. HINT: Your independent variable should be reported as the column variable and your dependent variable should be the row variable.( 5 POINTS)
4. Report (just a list) the obtained Pearson chi-square statistic, the degrees of freedom, the P-value, and the chi-square critical value. (2.5 POINTS)
5. Using appropriate statistical language, make a decision regarding your null hypotheses (one sentence). (5 POINTS)
6. Select and report the most appropriate measure of association for your variables. You can report lambda, Cramer’s V, gamma, Kendall’s tau-b or Kendall’s tau-c, depending on the nature of your variables. (2.5 POINTS)
7. In three to seven sentences, explain what the findings from the cross-tabulation, chi-square test, and the measures of association mean in words. Make sure you use appropriate statistical language and describe what the findings indicate about people and society. You are not required to use resources, but the will strengthen your arguments. (10 POINTS)

PART 2: Regression and Correlation (25 points)In PART 2, you will perform a regression and correlation. You will need to select two appropriate variables for this portion of the assignment. NOTE: Be sure to select an independent and dependent variable. Also remember which levels of measurement are appropriate for regression. If you select variables with inappropriate levels of measurement, you may lose credit on this portion of the assignment.

Your α is set at 0.05.

1. Conduct the regression and write the complete regression equation. (5 POINTS)
2. Using appropriate statistical language, explain what the regression equation means in two to five sentences. (5 POINTS)
3. Report and label the correlation coefficient. (2.5 POINTS)
4. Using appropriate statistical language, interpret the correlation coefficient in one to two sentences. (5 POINTS)
5. Report and label the coefficient of determination. (2.5 POINTS)
6. Using appropriate statistical language, interpret the coefficient of determination. (5 POINTS)

PART 3: ANOVA (35 points total)In PART 3, you will conduct a hypothesis test in SPSS using ANOVA and Tukey’s HSD (Tukey’s HSD is only covered in the class memo). For this portion of the project, you will need to select either “marital status” or “race” as your independent variable. You will also need to select your own dependent variable. If you like, you can use a dependent variable that you’ve already used in this project. HINT: Remember which levels of measurement are appropriate for DVs in ANOVAs.

Your α is set at 0.05.

1. State the null and research hypothesis using words. (5 POINTS)
2. In a few sentences, explain why you think your independent variable might influence the dependent variable. (5 POINTS)
3. List the SSB, SSW, dfb, dfw, MSb, MSw, the obtained F-statistic, the P-value, and the F-critical value. (5 POINTS)
4. In a sentence, and using appropriate statistical language, make a decision regarding your null hypotheses. (5 POINTS)
5. Examine the table created from Tukey’s HSD. In a list, report all statistically significant differences. Report the mean difference and the P-value for each statistically significant difference. HINT: If there are none, you must clearly state there are no statistically significant differences between groups in order to receive credit for this portion of the assignment. (5 POINTS)
6. In five-to-seven sentences, explain what the findings from the ANOVA and Tukey’s HSD indicate. Make sure you use appropriate statistical language and describe what the findings indicate about people and society. You are not required to use resources, but the will strengthen your arguments. (10 POINTS)

 ———–MATERIALS ———–

1. A Word Processing Program to type up your final report (e.g., Microsoft Word).
2. The data analysis program SPSS. For more information, read the following page: SPSS Resources
3. Data to analyze: General Social Survey Project 4.sav (this is NEW data).
4. The data codebook: Codebook_GSS_Project_4.pdf This document contains all of the possible variables you may use in your analysis.
5. Step-by-step instructions for how to perform t-tests in SPSS: SPSS Bivariate Relationships.pdf
6. Lessons for reference (i.e., readings, videos, and memos from Chapters 9 – 11), APPENDIX C, and APPENDIX D
7. Project 4 EXAMPLE: Project 4 Example
8. The RUBRIC (listed below)