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Applied Statistics Handbook
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Comparing amount of time spent watching TV per day by age group.

 

Analysis of Variance (ANOVA): TVHOURS (Means) by AGECAT4 (Groups)

 

Independent Variable Label: Age categories

Dependent Variable Label: Hours watch TV per day

 

Group Summary Statistics

 

            Group          N             Mean        Std. Dev.

--------------------------------------------------------------

            18-29        185          3.0108           2.2698

            30-39        243          2.6008           2.0331

            40-49        198          2.5859           1.7712

              50+        364          3.2665           2.6385

 

 

 

Analysis of Variance

 

                  Sum of Squares        df       Mean Squares

--------------------------------------------------------------

Between Groups          92.09          3 A         30.70 B

 Within Groups        5093.45        986 C          5.17 D

         Total          5185.54        989 E  

 

                    F Statistic              p <

                  -----------------------------

                         5.94 F        0.0005 G

 

 

Interpretation                                                            

A   k-1, where k = 4 group means

B   Between Groups Sum of Squares ÷ degrees of freedom

C   n-k, where n = 990

D   Within Groups Sum of Squares ÷ degrees of freedom

E   n-1

F   Between Groups Mean Squares ÷ Within Groups Mean Squares

G   The F-Statistic is statistically significant.  The p-value represents the probability of making a type 1 error (concluding there is statistical significance when there is none).  Since there is about .05% (p < .0005) chance of making a type 1 error, you conclude there is statistical significance; ie, there is variation among the groups.


 
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