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Factors Affecting Student Study Allison FoyJustin Messina
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Introduction Students have differing methods of study Assumption: focus and speed (time to complete test) are interrelated
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Objective To test if outside factors affect student scores on a basic arithmetic test
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Design Three Factors, Factorial ◦ Subjects (Blocking factor) ◦ Music genre (Heavy metal, Classical, No music) ◦ Room temperature (55°F, 70°F) One Replicate 4 x 3 x 2 x 1 = 24 experiments
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Problem Bank
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Experiment Results SUBJECTS 1234 TEMPERATURE 55°F70 ° F55 ° F70 ° F55 ° F70 ° F55 ° F70 ° F Heavy Metal 131014171492024 5381116171924 Classical 1516232114162731 6210913152320 None 14212419 172625 1 471218142122 # Score (Response) # Experiment Order
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Analysis of Variance on Score Subject470.33 Music150.58
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Analysis Observations: Subject = significant Music = significant Temperature = not significant *Subject appears to more heavily affect results
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Normal Probability Plot
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Residual Plots
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Analysis of Variance with Interaction
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Analysis Observations: Initially, no error or F-values; significance estimation based on Seq SS values ◦ Subject = significant ◦ Music = significant ◦ Temperature = not significant *All 2-way and 3-way interactions were determined to be not significant
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Normal Probability Plot
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Residual Plots
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Main Effects Plot
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Interaction Plot
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Conclusions Subjects have different skill levels Heavy metal music produces the lowest scores No music and classical music produce the highest scores Room temperature does not affect score
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