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Two Factor ANOVA How do i fill in the missing values on the chart and find out if the interaction is significant?

Two Factor ANOVA How do i fill in the missing values on the chart and find out if the interaction is significant?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Two Factor ANOVA

How do i fill in the missing values on the chart and find out if the interaction is significant?

Q1. Dr. Ballard obtained 30 participants who were students at his college. He gave each a mental alertness task 1 hour after waking (higher scores on this test indicate more mental alertness.) The participants were randomly assigned into six groups. Half the participants consumed a standard cup of coffee (150 mg of caffeine) 30 minutes after waking and half did not. One third of the participants were allowed a full night's sleep (0-hours sleep deprivation), one third were awakened an hour early (1 hours sleep deprivation), and the final third were awakened 2 hours early (2 hours sleep deprivation). The following table summarizes the results. There are two levels of caffeine intake (caffeine and no caffeine), which is designated as factor A (Rows) and three levels of sleep deprivation (0-, 1-, 2-hours sleep deprivation), which is designated as factor B (Columns). Complete the F-table below and evaluate the significance of the main effects and the interaction using a .05 level of significance. Source of Variation SS df MS F Between Treatments Factor A 3630 Factor B 1340 AxB 980 Within Treatments 748 Total Below is the table that shows means for each cell. Sleep deprivation (Factor B) 1-hour sleep deprivation 0-hours sleep deprivation 88 2-hours sieep deprivation 86 Caffeine (Factor A) Caffeine 90 No Caffeine 80 68 50 If the interaction is significant 1D draw a graph showing the interaction. 2) describe the interaction in one or two sentences, including the independent and dependent variables.
Transcribed Image Text:Q1. Dr. Ballard obtained 30 participants who were students at his college. He gave each a mental alertness task 1 hour after waking (higher scores on this test indicate more mental alertness.) The participants were randomly assigned into six groups. Half the participants consumed a standard cup of coffee (150 mg of caffeine) 30 minutes after waking and half did not. One third of the participants were allowed a full night's sleep (0-hours sleep deprivation), one third were awakened an hour early (1 hours sleep deprivation), and the final third were awakened 2 hours early (2 hours sleep deprivation). The following table summarizes the results. There are two levels of caffeine intake (caffeine and no caffeine), which is designated as factor A (Rows) and three levels of sleep deprivation (0-, 1-, 2-hours sleep deprivation), which is designated as factor B (Columns). Complete the F-table below and evaluate the significance of the main effects and the interaction using a .05 level of significance. Source of Variation SS df MS F Between Treatments Factor A 3630 Factor B 1340 AxB 980 Within Treatments 748 Total Below is the table that shows means for each cell. Sleep deprivation (Factor B) 1-hour sleep deprivation 0-hours sleep deprivation 88 2-hours sieep deprivation 86 Caffeine (Factor A) Caffeine 90 No Caffeine 80 68 50 If the interaction is significant 1D draw a graph showing the interaction. 2) describe the interaction in one or two sentences, including the independent and dependent variables.
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