We will be using stress dataset to compare the stress level of college students and the general population. Stress level score is based on three metrics, 1. Responsiveness, 2. Exertion Balance, and 3. Sleep patterns. The scale is from 0 to 30, the lower the score the less stress. Use ANOVA to answer the following questions: Question Generate a boxplot of stress score by the group using proc boxplot in SAS. Describe your observations. Compare the means and variances of stress score by group. Explain if any of the assumptions of ANOVA is violated. Write out the ANOVA model. Assuming you want to compare the stress level of college students and the general population, write out the null and the alternative hypotheses. Fit a one-way ANOVA to compare the stress score for the college students and the general population. Using the result in question 5, test the hypothesis and make a statistical decision. What further statistical analysis might you perform if the null hypothesis is rejected.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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We will be using stress dataset to compare the stress level of college students and the general population. Stress level score is based on three metrics, 1. Responsiveness, 2. Exertion Balance, and 3. Sleep patterns. The scale is from 0 to 30, the lower the score the less stress. Use ANOVA to answer the following questions:

Question

  1. Generate a boxplot of stress score by the group using proc boxplot in SAS. Describe your observations.
  2. Compare the means and variances of stress score by group. Explain if any of the assumptions of ANOVA is violated.
  3. Write out the ANOVA model.
  4. Assuming you want to compare the stress level of college students and the general population, write out the null and the alternative hypotheses.
  5. Fit a one-way ANOVA to compare the stress score for the college students and the general population.
  6. Using the result in question 5, test the hypothesis and make a statistical decision.
  7. What further statistical analysis might you perform if the null hypothesis is rejected.

 

 

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