Advanced topic: In a test of recall,three groups of participants were shown a list of words on a screen for a very brief time and later were asked to recall as many of the words as possible.Five participants viewed the list while the experimenter read related words aloud and were able to recall 5,5,5,3,and 6 words from the list.Three participants viewed the list while the experimenter read unrelated words aloud and were able to recall 6,3,and 4 words.The final three participants viewed the list under quiet conditions and were able to recall 7,8,and 3 words.Using the .05 level,was there a significant difference among the three conditions in number of words recalled?
a.Carry out the five steps of hypothesis testing and make a complete analysis of variance table.
b.Sketch the distributions involved.
c.Figure the effect size of this study and indicate whether it is nearer to small,medium,or large.
d.Explain the logic of what you did to a person who is familiar with the analysis of variance using the approach in which you figure the variance for each group,but who has not learned anything about the structural model approach.(Be sure to explain dividing the overall deviation from the grand mean,the logic of the different parts of the analysis of variance table,and how all this relates to the logic of the approach in which you figure the variance for each group.)

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The Answer of Advanced topic: In a test of recall,three groups of participants were shown a list of words on a screen for a very brief time and later were asked to recall as many of the words as possible.Five participants viewed the list while the experimenter read related words aloud and were able to recall 5,5,5,3,and 6 words from the list.Three participants viewed the list while the experimenter read unrelated words aloud and were able to recall 6,3,and 4 words.The final three participants viewed the list under quiet conditions and were able to recall 7,8,and 3 words.Using the .05 level,was there a significant difference among the three conditions in number of words recalled?
a.Carry out the five steps of hypothesis testing and make a complete analysis of variance table.
b.Sketch the distributions involved.
c.Figure the effect size of this study and indicate whether it is nearer to small,medium,or large.
d.Explain the logic of what you did to a person who is familiar with the analysis of variance using the approach in which you figure the variance for each group,but who has not learned anything about the structural model approach.(Be sure to explain dividing the overall deviation from the grand mean,the logic of the different parts of the analysis of variance table,and how all this relates to the logic of the approach in which you figure the variance for each group.)

Advanced Topic: in a Test of Recall,three Groups of Participants