Interaction in a two-way ANOVA indicates - Google Search sum hwk 12 chap 12 - de

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Interaction in a two-way ANOVA indicates - Google Search sum hwk 12 chap 12 - dennis .com - Gmail Advanced Math question I Chegg.com 4. +19 points 0/2 Submissions Used My Notes AskYour Application Exercise In a study of memory process, rats were first presented with a fear-inducing stimulus on a lcarning task as soon as they stepped across a line in a test chamber. Afterwards, the rats were divided and given electrical stimulation cither 50 or 150 milliseconds after crossing the line. In addition, the ats differed in terms of the area in which the stimula?0n electrodes ere implanted in their b ains Neutral Area, Area A or Area B). Researchers were interested in the time it took the animals to re-cross the line on a subsequent learning task. The idea is that stimulation of certain areas in the brain would interfere with memory and hence delay learning to avoid the line on the subsequent learning task. The data on time to re-cross the line are below, What can be conduded with an a or 0.057 Area Time ncutralAB 26 31 29 41 21 12 24 19 31 25 19 16 29 15 24 50 26 19 31 20 24 38 29 30 29 24 22 26 So29 26 18 150 a) What is the appropriate test statistic? b) Compute the appropriate test statistic(s) to make a decision about Ho Time: critical value- i test statistic - Area: critical value test statistic Interaction: critical value- i test statistic- c) Compute the Time: n- Area g effect size(s) and indicate magnitude(s). d) Make an interpretation based on the results. There is a time difference in the time it took to step across the line. Therc is no time differencc in the time it took to step across the linc. There is an area difference in the time it took to step across the line.

Explanation / Answer

a) two-way ANOVA

b)

c)

d)

There is no time difference in the time it took to step across the line.    

There is no area difference in the time it took to step across the line.    

There is no time by area interaction in the time it took to step across the line.    

Anova: Two-Factor With Replication SUMMARY 12 24 Total 31 Count 3 3 6 Sum 60 79 139 Average 20 26.33333 23.16667 Variance 21 41.33333 36.96667 21 Count 3 3 6 Sum 72 63 135 Average 24 21 22.5 Variance 67 7 32.3 24 Count 3 3 6 Sum 92 80 172 Average 30.66667 26.66667 28.66667 Variance 49.33333 16.33333 31.06667 Total Count 9 9 Sum 224 222 Average 24.88889 24.66667 Variance 56.11111 23.75 ANOVA Source of Variation SS df MS F P-value F crit Sample 137.4444 2 68.72222 2.041254 0.17257 3.885294 Columns 0.222222 1 0.222222 0.006601 0.936587 4.747225 Interaction 97.44444 2 48.72222 1.447195 0.273496 3.885294 Within 404 12 33.66667 Total 639.1111 17

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