
If the p-value is less than or equal to your alpha level, then you can reject null hypothesis that all means are equal. The final column gives the significance of the F-ratio. It is calculated by dividing mean square variance between-groups by the mean square variance within groups. Each mean square is calculated by dividing the sum of square by its degrees of freedom.

The fourth column gives the estimates of variance (the mean squares). In this example there are five levels of the independent variable. A One-way ANOVA revealed a significant difference among the means for the 3 assignments, F (2, 38) 9.50, p <. The null hypothesis stated that the means for Assignment 1, Assignment 2, and Assignment 3 are equal. The degrees of freedom for the between-groups estimate of variance are given by the number of levels of the IV-1. One-way ANOVA (contd) Step 6: Write up your results. Then click the Post-Hoc button and check the box labeled Bonferroni. You must click this to open a second dialog box where you should check the Descriptives box and then click Continue. The third column gives the degrees of freedom for each estimate of variance. Figure 1: Selecting One-Way ANOVA from the Analyze menu in SPSS to perform ANOVA. The sum of squares column gives the sum of squares for each of the estimates of variance. The final row describes the total variability in the data. The within-groups estimate of variance forms the denominator of the F ratio. The second row corresponds to the within-groups estimate of variance. This research sought to establish the factors that affect the longevity of peoples relationships, and investigated how enduring relationships are experienced by couples at different generational points in their life course. Examples of variables that meet this criterion include, revision time (measured in hours), intelligence (measured using IQ score), exam performance (measured from 0 to 100), weight (measured in kg). The between-groups estimate of variance forms the numerator of the F ratio. One-Way Independent ANOVA in SPSS This tutorial uses a subset of real data collected by the Enduring Love project. One-way ANOVA Assumptions 1: Your dependent variable should be measured at the interval or ratio scales (i.e., they are continuous). It tells us that the first row corresponds to the between-groups estimate of variance. This column describes each row of the ANOVA summary table. The ANOVA output gives us the analysis of variance summary table. This tutorial walks you through testing for and interpreting interaction effects in ANOVA.

So the effect of having children depends on sex. Example: women become happier but men become un happier if they have children. There were 132 Catholic individuals with a mean frequency of prayer at 3.38, and a standard deviation of 1.438. In ANOVA and regression, an interaction effect means that some effect depends on another variable. In this example, there were 64 Jewish individuals, the mean frequency of prayer was 4.70 (on a six point scale technically it is an interval-like ordinal variable), and the standard deviation was 1.217. The Descriptives table provides various descriptives for the groups being compared, including the group sample size, mean, standard deviation, minimum, maximum, standard error, and confidence interval for the mean.
