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A Step by Step Guide for SPSS and Exercise Studies

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Statistical tests 91<br />

Figure 28<br />

The Residual plot shows that the residuals are not r<strong>and</strong>om. As you can see at<br />

the top centre of the plot, there is a pattern of decreased variability between<br />

observed <strong>and</strong> predicted residuals as the values increase (Figure 29). Taken<br />

together, Figures 28 <strong>and</strong> 29 indicate that the homogeneity assumption is not<br />

satisfied. One way of dealing with this problem is to trans<strong>for</strong>m the dependent<br />

variable in order to achieve homogeneity. Alternatively, you can go back <strong>and</strong><br />

create different groups of almost equal size. ANOVA tests are not affected too<br />

much <strong>by</strong> violations of the homogeneity assumption as long as the group sizes are<br />

almost equal.<br />

The eta squared value <strong>for</strong> enjoyment ( 2 ) shows that this variable explains<br />

around 36% of the variance in ef<strong>for</strong>t scores. The power of the two main effects is<br />

large, whereas the power of the interaction effect is very small. The F values <strong>for</strong><br />

support <strong>and</strong> enjoyment are significant. The interaction effect of support <strong>and</strong><br />

enjoyment has a non-significant F value. There<strong>for</strong>e, there are two significant<br />

main effects but no significant interaction effect (Table 27).<br />

An inspection of the mean scores shows that as the levels of enjoyment <strong>and</strong><br />

support increase, so does the level of ef<strong>for</strong>t in PE classes (Tables 28 <strong>and</strong> 29).<br />

The ANOVA tests showed that the three enjoyment <strong>and</strong> support groups differ<br />

in ef<strong>for</strong>t. However, you need to find out which group differs from the others.<br />

Note that if one of the main effects was not significant (e.g., enjoyment), you<br />

should have stopped here <strong>and</strong> reported that the three enjoyment groups did not

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