A researcher wanted to study the effects of a performance evaluation and an indi

Question

A researcher wanted to study the effects of a performance evaluation and an indication of intelligence on a person's self-esteem. She gave each person a puzzle solving task and told them they either performed very good or very bad. She also told them that such a performance was or was not an indication of high intelligence. She then gave the participants a self-esteem assessment. Were there any effects in this experiment? a. Perform the appropriate test on the data and produce a source table using a = .01 in the space below. b. Calculate the appropriate effect size(s). c. Write in words, what are the main effects, if any, and if there is an interaction. If you state there were main effects, mention the effect followed by the correct APA notation, including effect size. If you state there is an interaction, mention the interaction followed by the correct APA notation, including effect size.

Explanation / Answer

a. 2-Way ANOVA:

b. Effect sizes:

effect sizes= sum of square of treatment/ total sum of sq

c. Both the treatments have no significant main effect at 0.01 since p-value>0.01. However, their intreraction has significant effect with 0.87 effect size i.e. 87% of overall variation is caused by intercation of these 2:

High intelligence No indication of high intelligence Good 9 5 10 4 9 5 11 4 10 5 9 4 Bad 5 9 5 8 5 7 6 10 4 9 4 8 Anova: Two-Factor With Replication SUMMARY High intelligence No indication of high intelligence Total Good Count 6 6 12 Sum 58 27 85 Average 9.66666667 4.5 7.083333 Variance 0.66666667 0.3 7.719697 Bad Count 6 6 12 Sum 29 51 80 Average 4.83333333 8.5 6.666667 Variance 0.56666667 1.1 4.424242 Total Count 12 12 Sum 87 78 Average 7.25 6.5 Variance 6.93181818 5 ANOVA Source of Variation SS df MS F P-value F crit puzzle performance 1.04166667 1 1.041667 1.582278 0.222922 4.351243 Intelligence Indication 3.375 1 3.375 5.126582 0.034832 4.351243 Interaction 117.041667 1 117.0417 177.7848 2.07E-11 4.351243 Within 13.1666667 20 0.658333 Total 134.625 23

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