* Degrees of freedom. * Power. * Effect Size. * Practical Significance. * df. Single Sample t-tests. Assignment: Heiman Chapter 11
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1 Assignment: Heiman Chapter 11 Terms you should know. Single Sample t-tests t-test Single sample t-test * Degrees of freedom * Power * Effect Size * Practical Significance Formulas and Symbols You Should Know. t * df S X = t = s x N X µ S X * Dennis C. Sweeney, 2005, Rev. Feb 2007 Page - 41 Psy331 Study Guide
2 * eta 2 = t 2 2 t + df Concepts You Should Master 1. What is the difference between a t-test and a z-test? Under what conditions would you do each test? 2. How to use the t-tables. 3. What is meant by a. Statistical significance? b. Effect size? c. Practical significance? Dennis C. Sweeney, 2005, Rev. Feb 2007 Page - 42 Psy331 Study Guide
3 Homework #10: Calculations You Should Master Name: (This is my work, and my work alone.) Problem 1. This problem is designed to demonstrate what happens to effect size as the sample size (power) increases. First. Compute the effect size (Eta 2 ) for each of the following t values and fill in the values in this table. Some of the values have been filled in. Degrees of freedom t Second. Draw a line for each t value for each of the degrees of freedom. The line for t=2 has been shown. Be sure to label your lines! 1. What happens to the effect size as t increases? 2. What happens to the effect size as the sample size increases? Dennis C. Sweeney, 2005, Rev. Feb 2007 Page - 43 Psy331 Study Guide
4 Problem 2. Gho Rilla found that monkeys would solve puzzles that were put into their cages even though they were not reinforced for this behavior. Rilla wanted to see if a food reward would alter the puzzle-solving behavior. There could be several outcomes: the monkeys would continue solving puzzles at the same rate, the monkeys wold solve puzzles faster, or the monkeys would solve puzzles slower. Gho did not know what would happen. The experimenter tested a random sample of 16 monkeys and found that the mean puzzle solving time was 32 seconds, the standard deviation was 2 seconds. The average puzzle solving time is 30 seconds. 1. What is your research hypothesis? 2. What is H o? 3. What is H A? 4. What is the statistical test and df? 5. What is the significance level and its critical value? 6. What is your best estimate of the population F? 7. What is the Standard error of the mean? 8. What is your calculated statistic? 9. What is your statistical decision? 10. What is your conclusion? 11. What is the effect size? 12. Based on the effect size, how do you assess the strength of the treatment? Dennis C. Sweeney, 2005, Rev. Feb 2007 Page - 44 Psy331 Study Guide
5 Problem 3. Pierce Tear thought that men with earrings would be more neurotic than men without earrings. The national average on a test if neuroticism is 32. Using a sample of 16 men with earrings the experimenter found that the mean score was 30.4 and the standard deviation was 2.9. Analyze these results. 1. What is your research hypothesis? 2. What is H o? 3. What is H A? 4. What is the statistical test and df? 5. What is the significance level and its critical value? 6. What is your best estimate of the population F? 7. What is the Standard error of the mean? 8. What is your calculated statistic? 9. What is your statistical decision? 10. What is your conclusion? 11. What is the effect size? 12. Based on the effect size, how do you assess the strength of the treatment? Dennis C. Sweeney, 2005, Rev. Feb 2007 Page - 45 Psy331 Study Guide
6 Problem 4. Sonny Skyze wants to test the notion that sunshine has a major positive effect of the mood of people prone to depression. Skyze got a sample of 36 patients who had a history of depression and exposed them to special lights that duplicated sunshine for four hours daily. At the end of the study the average scores for this group on a test of depression was The standard deviation was 5.7. The population mean for depressed patients is Higher scores on the test mean that the person was more depressed. Did the treatment work? 1. What is your research hypothesis? 2. What is H o? 3. What is H A? 4. What is the statistical test and df? 5. What is the significance level and its critical value? 6. What is your best estimate of the population F? 7. What is the Standard error of the mean? 8. What is your calculated statistic? 9. What is your statistical decision? 10. What is your conclusion? 11. What is the effect size? 12. Based on the effect size, how do you assess the strength of the treatment? Dennis C. Sweeney, 2005, Rev. Feb 2007 Page - 46 Psy331 Study Guide
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