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Exploring Factors That Influence Student Performance in Arithmetic Tests

This study investigates the effects of various external factors on student scores in a basic arithmetic test. The focus is on three primary factors: subject proficiency, music genre (heavy metal, classical, no music), and room temperature (55°F, 70°F). Through a factorial experimental design comprising 24 trials, key findings reveal that the subject proficiency and music genre significantly impact performance, while room temperature does not affect scores. Notably, students exposed to heavy metal music scored the lowest, while those with no music or classical music performed better.

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Exploring Factors That Influence Student Performance in Arithmetic Tests

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Presentation Transcript

  1. Factors Affecting Student Study Allison Foy Justin Messina

  2. Introduction • Students have differing methods of study • Assumption: focus and speed (time to complete test) are interrelated

  3. Objective • To test if outside factors affect student scores on a basic arithmetic test

  4. 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

  5. Problem Bank

  6. Experiment Results

  7. Analysis of Variance on Score Subject 470.33 Music 150.58

  8. Analysis Observations: • Subject = significant • Music = significant • Temperature = not significant *Subject appears to more heavily affect results

  9. Normal Probability Plot

  10. Residual Plots

  11. Analysis of Variance with Interaction

  12. 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

  13. Normal Probability Plot

  14. Residual Plots

  15. Main Effects Plot

  16. Interaction Plot

  17. 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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