Repeated Measures t Test This assignment requires use SPSS to input and analyze a data set. compose answers
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Repeated Measures
t
Test
This assignment requires use SPSS to input and analyze a data set. compose answers to the assignment in a doc file, which should be uploaded along with the sav (data set) and spv (output) files.
1. Enter the data from the following table into SPSS. All fields in the "Variable View" window should be completed for each variable.
[Note: Pre-test represents a student’s score on a statistics exam given to them before the class starts, while the post-test represents each student’s
score on the same exam at the end of the class. Exam scores can range from 0 to 100.]Student Pre-test Post-test 1 30 78 2 25 55 3 15 40 4 50 70 5 61 98 6 68 92 7 23 68 8 55 75 9 57 81 10 70 99 11 68 93 12 58 87 13 20 55 14 41 64 15 56 78 16 52 76 17 47 72 18 69 83 19 64 80 20 22 65 -
Create frequency tables and obtain the mean, median, mode, standard deviation, and variance for the pre-test and post-test variables.
3. Run a repeated measures t test (also called a paired-samples t test).
4. Save the data set as a sav file, and save the output with the tables and data as a spv file. Upload both of these SPSS files with the doc file when
submitting the assignment for grading.
5. Answer the following questions in a doc file, based on the results you obtained:
a. List the variables and explain their scale of measurement (nominal, ordinal, interval, or ratio).
b. You are told that this data set represented the following study: "Students were expected to have a different exam score at the end of the term than at
the beginning." What are the independent and dependent variables in this study?
c. What is the mean, median, mode, standard deviation, and variance for the pre-test and post-test variables?
d. What are the null and alternative hypotheses for the study? Provide the statistical notation and written explanation for each.
e. Should we perform a one-tailed or two-tailed significance test? Explain.
f. What are the results of a repeated measures t test (also called a paired-samples t test) on this sample? Was there a statistically significant
difference between the two groups? How do you know? If there was a difference, how do the means compare (which was higher/lower)?
g. What is the 95% confidence interval for this test? Explain.
h. What conclusion might you draw from these results? Do we retain or reject our null hypothesis? Explain.
2. One Way ANOVA /
Go to www.ablongman.com/george9e and click on the "Data Sets" link at the top of the page. Download the EX14-6.sav file . You will need to open the file in SPSS to complete this assignment.
(Note: Use the training and performance variables for this assignment.)
A. In the body of your post include the following:
1. List the variables and explain their scale of measurement (nominal, ordinal, interval, or ratio).
2. You are told that this data set represented the following study: "Participants were assigned to the control group (none), or one of the training groups (short or long). The short
training group received 1 hour of training, while the long training group received 1 hour of training every day for one week. During the training, participants learned various
techniques for decreasing their stress levels. After a week, each participant was given a puzzle to put together in a stressful environment (e.g., loud noises, bright lights, etc.).
The amount of the puzzle completed in the time frame of 5 minutes was measured according to the number of pieces completed (there were 10 pieces to the puzzle). It was
expected that the two training groups would have different scores on the test than the control group." What are the independent and dependent variables in this study?
3. What are the mean, median, mode, range, standard deviation, and variance for performance?
4. What are the null and alternative hypotheses for the study? Provide the statistical notation and written explanation for each.
5. Complete the following ANOVA table based on the results obtained from SPSS (not all cells require a number):
Summary of one-way ANOVA of mental performance:Source SS df MS F p
6. Why did we run a one-way ANOVA on this data set? Why did we not run a t test?
7. What is the main effect and is it statistically significant? How do you know?
8. Should you conduct a Tukey’s HSD test on the means? Why or why not? If so, after conducting the test, which means are significantly different from each other? How do you
know?
9. What conclusion might you draw from all of these results? Do we retain or reject our null hypothesis? Explain.
- Two way ANOVA /due Nov 24
Go to
www.ablongman.com/george9e
and click on the "Data Sets" link at the top of the page. Download the
EX14-6.sav file
. You will need to open the file in SPSS to complete this assignment.
(Note: We are using the same data set we used in this week’s "One-Way ANOVA" discussion assignment. Use all three variables in the data set, training, life stress, and performance variables, for this assignment.)
A. In the body of your post include the following:
1. List the variables and explain their scale of measurement (nominal, ordinal, interval, or ratio).
2. You are told that this data set represented the following study: "Participants were assigned to the control group (none), or one of the training groups (short or long). The short
training group received 1 hour of training, while the long training group received 1 hour of training every day for one week. During the training, participants learned various
techniques for decreasing their stress levels. In addition, participants were given a life stress test to determine their current level of life stress. Scores on the test were labeled
as either high or low. After a week, each participant was given a puzzle to put together in a stressful environment (e.g., loud noises, bright lights, etc.). The amount of the puzzle
completed in the time frame of 5 minutes was measured according to the number of pieces completed (there were 10 pieces to the puzzle). It was expected that the two training
groups would have different scores on the test than the control group. In addition, those who had high life stress scores were expected to perform differently than those who had
low life stress scores. Lastly, those who received training (either short or long) and had high stress scores were expected to perform differently than those who did not receive
training and had low stress scores." What are the independent and dependent variables in this study?
3. What are the mean, median, mode, range, standard deviation, and variance for performance?
4. What are the null and alternative hypotheses for the study? Provide the statistical notation and written explanation for each.
5. Complete the following ANOVA table based on the results obtained from SPSS (not all cells require a number):
Summary of two-way ANOVA of performance:
| Source | SS | df | MS | F | p |
6. Why did we run a two-way ANOVA on this data set?
7. What are the main effects and are they statistically significant? How do you know?
8. What is the interaction and is it statistically significant? Describe the graph of the interaction.
9. Should you conduct a Tukey’s HSD test on the means for either main effect or the interaction? Why or why not? If so, after conducting the test, which means are significantly
different from each other for the tested main effect(s) and/or interaction? How do you know?
10. What conclusion might you draw from all of these results? Do we retain or reject our null hypotheses? Explain.
Deliverable: Word Document
