Mission: One theory is that a vitamin C treatment over several weeks will cure the virus. You investigate this by measuring symptom severity (on a scale from 1 to 10) of a group of patients. The group is given a vitamin C treatment, and you measure symptom severity before treatment and at one week intervals for three weeks.

Your question: Does using vitamin C affect the symptom severity of patients with the virus? Is there a change in symptom severity from before to week 1 to week 2 to week 3?

Independent Variable:

DependentVariable:

2. Calculate the mean symptom severity score for each week. [Round your answers to one decimal place.]

Before:

Week1:

Week2:

Week3 :

Use the SPSS output to answer the following questions.

3. Report the appropriate p-values for testing the assumption of normality. [Do not round the values from the table.]

Before:

Week1:

Week2:

Week3 :

4. Can normality be assumed?

Regardless of the results to question 3, continue with the analysis

5. Report the appropriate test statistic and p-value to test the assumption of sphericity. [Do not round the values from the table.]

Test statistic:

p-value:

6. Report the appropriate test statistic, p-value, and degrees of freedom that answer the question. [Do not round the values from the table.]

Test Statistic:

P-value:

Df:

7. If appropriate, use post hoc tests to determine if there is a change in symptom severity over time.

DATA

Column A

ID 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

column B

Before 7 7 4 6 6 6 6 7 6 6 6 6 6 6 6 5 5 6 7 5 5 7 7 5 6 6 7 6 7 5 5 6 8 5 6

column C

Week1 7 8 5 8 8 7 6 7 6 8 8 8 9 8 9 8 8 8 8 8 9 9 7 9 9 9 7 6 7 9 9 9 9 7 9

column D

Week2 4 6 4 6 5 7 6 3 6 5 6 6 6 5 5 4 7 8 4 4 5 5 5 5 5 4 4 5 7 4 3 4 6 5 5

column E

Week3 9 8 12 9 9 9 8 8 8 9 9 10 8 7 7 9 7 8 8 10 7 9 8 9 9 10 8 9 8 7 7 8 9 8 10

Measure: Symptoms Pairwise Comparisons (1) Time (J) Time 95% Confidence Mean Interval for Difference" Difference Std Lower Upper (I-J) Error Sig." Bound Bound Before Wk 1 .486 237 .288 .178 1.149 Wk 2 233 019 090 1.396 Wk 3 200 252 1.00 -.506 906 Wk 1 Before -.486 237 288 -1.149 178 Wk 2 257 .233 1.00 -.396 910 Wk 3 -.286 241 1.00 -.961 390 Wk 2 Before 233 019 -1.396 .090 Wk 1 -.257 233 1.00 -.910 .396 Wk 3 189 042 -1.073 .012 Wk 3 Before -.200 252 1.00 -.906 .506 Wk 1 286 .241 1.00 -.390 961 Wk 2 189 .042 012 1.073 Tests of Normality Kolmogorov-Smirnov" Shapiro-Wilk Statistic Sig Statistic di Sig Standardized 202 35 .001 902 35 004 Residual for Before Standardized 256 35 000 891 35 002 Residual for Week1 Standardized 199 35 001 929 35 027 Residual for Week2 Standardized .230 35 00 .890 35 .002 Residual for Week3Multivariate Tests Effect Value F Hypothesis of Error df Sig Time Pillai's Trace 310 4.787 3.000 32.000 007 Wilks' Lambda 690 4.787" 3.000 32.000 007 Hotelling's Trace 449 4.787 3.000 32.000 .007 Roy's Largest Root 449 3.000 32.000 007 Mauchly's Test of Sphericity" Measure: Symptoms Within Epsilon* Subjects Mauchly's Approx. Greenhouse Effect W Chi-Square di Sig Geisser Huynh-Feldt Lower-bound Time 887 3.034 5 560 932 1.000 3:33 Tests of Within-Subjects Effects Measure: Symptoms Source Type III Sum of Mean Squares df Square F Sig Time Sphericity Assumed 11.114 3.705 3.941 010 Greenhouse-Geisser 11.114 2.797 3.973 3.941 .012 Huynh-Feldt 11.114 3.000 3.705 3.941 010 Lower-bound 11.114 1.000 11.114 3.941 055 Error Sphericity Assumed 95.886 102 940 (Time) Greenhouse-Geisser 95.886 95.106 1.008 Huynh-Feldt 95.886 102.00 .940 Lower-bound 95.886 34.000 2.820