Advanced Statistics for Clinical Science Assignment
Part I. Design an appropriate research study and create an SPSS data file that fits the statistical model of an ANCOVA. You may use schematics to better illustrate your design if you choose. Please also answer the questions below.
1. What is your research question? Why is an ANCOVA appropriate to answer your research question?
2. Provide a statistical, symbolic, and substantive hypothesis for your research study.
3. Choose your a priori alpha level and indicate whether you used a 1-tailed or 2-tailed test.
4. List and operationally define your variables and covariate. Which variables are independent? Which variables are dependent? How many levels does your independent variables have and what are they?
5. What are the levels or scales of measurement for your variables and covariate?
6. Compute an a priori power analysis with G*Power. Please take a screenshot of your analysis and include it with your submission of the assignment.
7. What are the basic assumptions for ANCOVA? Does your data meet these basic assumptions? Why or why not.
8. Using the F distribution table to determine your F critical value. What is your F critical value?
9. Compare your F observed value to your F critical value. Does your value exceed the critical value? If so, what does this mean? If not, what does this mean?
10. Write your statistical finding and conclusion statement in APA format. See examples posted to Blackboard Learn.
Part II. Design an appropriate research study and create an SPSS data file that fits the statistical model of a MANOVA. You may use schematics to better illustrate your design if you choose. Please also answer the questions below.
1. What is your research question? Why is a MANOVA appropriate to answer your research question?
2. Provide a statistical, symbolic, and substantive hypothesis for your research study.
3. Choose your a priori alpha level and indicate whether you used a 1-tailed or 2-tailed test.
4. List and operationally define your variables. Which variables are independent? Which variables are dependent? How many levels does your independent variables have and what are they?
5. What are the levels or scales of measurement for your variables?
6. Compute an a priori power analysis with G*Power. Please take a screenshot of your analysis and include it with your submission of the assignment.
7. What are the basic assumptions for MANOVA? Does your data meet these basic assumptions? Why or why not.
8. Using the F distribution table to determine your F critical value. What is your F critical value?
9. Compare your F observed value to your F critical value. Does your value exceed the critical value? If so, what does this mean? If not, what does this mean?
10. Write your statistical finding and conclusion statement in APA format. See examples posted to Blackboard Learn.
Part III. Design an appropriate research study and create an Excel and SPSS data file with a sample size of at least 25*k that fits the statistical model of correlation. You may use schematics to better illustrate your design if you choose. Please also answer the questions below.
1. What is your research question? Why is correlation an appropriate procedure to answer your research question?
2. Choose your a priori alpha level and indicate whether you used a 1-tailed or 2-tailed test.
3. List and operationally define your predictor and criterion variables. Which variable is the predictor? Which variables is the criterion?
4. What are the levels or scales of measurement for your predictor and criterion variables?
5. Compute an a priori power analysis with G*Power. Please take a screenshot of your analysis and include it with your submission of the assignment.
6. What are the basic assumptions for correlation? Does your data meet these basic assumptions? Why or why not.
7. Using the graph function in SPSS, create a scatterplot and interpret your data in SPSS. Is your data positively, negatively, or not correlated?
8. Using Excel, calculate the sum, mean, standard deviation, cross products, covariance, correlation coefficient (r), and coefficient of determination (r2) for your data.
9. Interpret the effect size of your r value.
10. Write your statistical finding and conclusion statement in APA format. See examples posted to Blackboard Learn.
Part IV. Using your research study from part III, add a second predictor to the model and illustrate the zero-order, partial, and semi-partial correlation coefficients. What does the zero order, partial, and semi-partial correlation coefficients tell us about the relationships we observe in correlational analyses?