Make sure to show all the steps in your analyses. Clearly label each question an

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Make sure to show all the steps in your analyses. Clearly label each question and your answer. When submitting your work, put your papers in order and staple them.

1. The following data were obtained from an independent-measures research study comparing three treatments for chronic pain. Participants rated their level of pain on a scale from 0 (no pain) to 10 (extreme pain) after two weeks of treatment. Compute an ANOVA by hand and determine if there are any significant differences in level of pain among the treatments.

Treatment 1: 2, 5, 0, 1

Treatment 2: 6, 4, 3, 3

Treatment 3: 7, 8, 6, 3

a. Conduct an ANOVA in SPSS with = 0.05.

b.Provide a situation where an ANOVA would be the appropriate test to run. Describe your independent and dependent variables. Do not include data.

Explanation / Answer

Null hypothesis H0: mew1 = mew2 = mew3 i.e there is no significance difference between the mean level of pain among the three treatments

Alternative hypothesis H1: atleast two of them not equal to zero (two tailed test)

               Descriptives
Treatment
                   95% Confidence Interval for Mean
N   Mean   Std. Deviation   Std. Error
Treatment1   4   2.0000   2.16025 1.08012
Treatment2   4   4.0000   1.41421 .70711
Treatment3   4   6.0000   2.16025 1.08012
Total   12   4.0000   2.44949 .70711

       ANOVA one way classification table
Treatment
Sum of Squares   df   Mean Square   F Sig.
Between Groups   32.000 2   16.000 4.235   .051
Within Groups 34.000 9 3.778      
Total   66.000 11          

From F tables the critical value of F at 5% level with (2,9) df is 4.256

therefore calculated value < table value (4.235<4.256)

therefore H0 is accepted i.e we may conclude that there is no significance difference between the mean level of pain among the three treatments

b) treatments are dependent variable and factors are independent variable for ANOVA one way classification

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