From Cengage Week 11 Homework Due on Nov 20 at 3 AM BRST 13. When to use a secon

Question

From Cengage Week 11 Homework Due on Nov 20 at 3 AM BRST 13. When to use a second factor Dr. Diane Gold and her colleagues study how rotating shift work (switching back and forth between the night shift and the day shift, for example) contributes to disrupted sleep cycles, accidents, and nodding off at work. Suppose you are studying a group of working particuler rotations. Circad an who are active in the middle of the day; and owls, who are active late into the night. ambulance drivers to see whether different circadian types are impacted differently by types include larks, who are most active in the early morning: hummingbirds, You administer a sleepiness test to 72 ambulance drivers (6 in each cel) each day for a month and use an average score across the month for each person as the indication of each person's typical sleepiness. The means of the scores are shown in the following table, where a higher score indicates more sleepiness Factor B: Shift Rotation Factor A: Circadian Type Evening/Night M- 0.50 M·0.50 Night/Day M- 0.33 Evening M-1.67 M-0.71 Day/Evening LarkM-0.33 Hummingbird M 0.17 0.50 Owl M 1.33 M 0.50 Move 0.61 M -0.39 M 0.33 Moe -1.11 You perform a two-factor analysis of variance to test for an interaction efflect between circadian type and work shifts. The following ANDVA summary table describes the results. Source Ss df MS F Between treatments 16.4471 11 Factor A Factor B6.7777 3 2.2592 5.98 A X B interaction 91416 6 1.5236 4.03 0.5278 2 0.2639 0.70 Within treatments 22.6640 60 0.3777 Total 39.1111 71 F Distribubion Use the results from the completed ANOVA table and the Distributions tool to make the following conclusions. Use the significance level -.01 * The main effect due to factor A (Circadian Type) is * The main effect due to factor B (Shift Rotation) is . The interaction effect of the two factors is

Explanation / Answer

For main effect to Factor A, numerator degree of freedom = 2 and denominator degree of freedom = 60. The F value = 0.70. By using applet the p-value = 0.5006. Since p-value is greater than 0.01,

The main effect to Factor A is not significant.

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For main effect to Factor B, numerator degree of freedom =3 and denominator degree of freedom = 60. The F value = 5.98. By using applet the p-value = 0.0012. Since p-value is less than 0.01,

The main effect to Factor B is significant.

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For main effect to Factor A X B (interaction), numerator degree of freedom =6 and denominator degree of freedom = 60. The F value = 4.03. By using applet the p-value = 0.0019. Since p-value is less than 0.01,

The main effect to interaction is significant.

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