# Thesis Using Anova

If there were two independent variables, then the analysis would be referred to as two-way analysis of variance.If the "Guilty" analysis had been significant, then it would be correct to describe the mean differences in the following manner: Participants who read about an unattractive defendant rated the defendant more guilty (M = 6.50, SD = 1.85) than participants who read about an attractive defendant (M = 5.79, SD = 2.20).

But, I KNOW you remember all of this from your statistics class...right?

This table is from an experiment that investigated whether the type of music that song lyrics were attributed to would differently impact whether participants thought the lyrics were objectionable (OBJECT) and whether they thought the lyrics should have a mandatory warning label (WARN). The effect size r was calculated for all appropriate analyses (Rosenthal, 1991).

Suppose we wanted to examine the relationship between self-esteem and negative mood.

First, we should remember that scores on the Rosenberg self-esteem scale range from 10 to 50 with higher scores indicating higher self-esteem.

*Note: Unless the effect size you are using is obscure, there is no reason to state it.

The sentence below "Results" is there to show you how you would reference it should you report an effect size that is not commonly used.Because your degrees of freedom are dependent on the number of participants you have in each of your conditions, your degrees of freedom may change from analysis to analysis. All you need to do to determine whether that particular analysis is significant is to, again, look at the analysis of variance summary table under the "Sig." column.The "Sig." column is your probability level for that particular analysis.unattractive defendants in a criminal case would be rated differently on amount of guilt (GUILTY) and length of prison sentence (PRISON).Because there is only one independent variable (attractiveness of the defendant), this analysis is referred to as a one-way analysis of variance.The measure of negative mood ranges from 12 to 60 with higher scores indicating more negative mood.SPSS Statistics generates quite a few tables in its one-way ANOVA analysis.This includes relevant boxplots, and output from the Shapiro-Wilk test for normality and test for homogeneity of variances.Also, if your data failed the assumption of homogeneity of variances, we take you through the results for Welch ANOVA, which you will have to interpret rather than the standard one-way ANOVA in this guide.This analysis differs from the one above, because the independent variable (type of music) has three levels. Objection to the Lyrics A one-way analysis of variance (ANOVA) was calculated on participants' ratings of objection to the lyrics.When you have an independent variable that has three or more levels, then you must run comparisons among the levels (e.g., country vs. The analysis was significant, F(2, 61) = 5.33, p = .007.

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