Analysis of Variance (One-Way ANOVA)

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Presentation transcript:

Analysis of Variance (One-Way ANOVA) Dr. Kalman J. Andrassy

Analysis of Variance Used to Test Differences in means (for groups or variables) for statistical differences

The F table In reports an ANOVA might be written as follows: F=22.333; df= 5,2; p<0.05 Or F(5,2) = 22.333; p<0.05 Here, the critical value is 19.296, so 22.333 is more extreme, and therefore we reject our null hypothesis.

STEPS ON SPSS In order to conduct a one-way ANOVA on SPSS: Analyze > Compare Means > One-Way ANOVA

One-Way ANOVA Window In order to find a difference between/among various groups in the independent variable and with regard to the dependent variable we apply general happiness variable as our dependent variable and ethnicity as the factor/independent variable. Click okay to obtain results.

One-Way ANOVA Results Based on these results and looking at our significance column we can determine there is no significant difference between ethnicity and general happiness level. Our results show a significance level of .746, which is greater than p<.05, therefore, we fail to reject the null hypothesis.