For this problem, please present the steps and the ANOVA table generated by SPSS

Question

For this problem, please present the steps and the ANOVA table generated by SPSS and draw the conclusion based on the table( Kindly let me know how to solve this problem using SPSS software)

activity sig!icany iefcommended? Run the appropriate test at a 5% level of significance. 14. Suppose a hypertension trial is mounted and 18 par ticipants are randomly assigned to one of threecom parison treatments. Each participant takes the assigned medication and their systolic blood presure is recorded after 6 months on the assigned treatment. The data are shown in Table 7-58. Is there a difference in mean systolic blood pressure among treatments? Run the appropriate test at = 0.05 ann cholestero

Explanation / Answer

Step 1

null, Ho: µ1 =µ2 =µ3

alternative, H1: atleast one mean is diffrent to each other

Step 2

Degrees of freedom between = k - 1 = 3 - 1 = 2

Degrees of freedom Within = n - k = 18 - 3 = 15

Degrees of freedom Total F( k-1,n - k,) at 0.05 is = F Crit = 3.682

Step 3

Grand Mean = G / N = 122.667+146.167+121 / 3 = 129.945

SST = ( Xi - GrandMean)^2 = (124-129.945)^2 + (111-129.945)^2 + (133-129.945)^2 + ……..& so on = 3222.944

SS Within = (Xi - Mean of Xi ) ^2 =,(124-122.667)^2 + (111-122.667)^2 + (133-122.667)^2 + ……..& so on = 846.167

SS Between = SST - SS Within = 3222.944 - 846.167 = 2376.777

Step 4

Mean Square Between = SS Between / df Between = 2376.777/2 = 1188.389

Mean Square Within = SS Within / df Within = 846.167/15 = 56.411

Step 5

F Cal = MS Between / Ms Within = 1188.389/56.411 = 21.067

We got |F cal| = 21.067 & |F Crit| =3.682

MAKE DECISION

Hence Value of |F cal| > |F Crit|and Here We Reject Ho

SPSS OUTPUT

To run a One-Way ANOVA in SPSS, click Analyze > Compare Means > One-Way ANOVA.

Treatments ONE WAY ANOVA Mean = X /n ST 124 111 133 125 128 115 122.667 Placebo 134 143 148 142 150 160 146.167 NT 114 117 121 124 122 128 121

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