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Midterm Review: Power, Multiple Regression, and Project Proposal Guidelines

This agenda covers key concepts related to statistical power, multiple regression, and project proposal guidelines. It includes discussions on hypothesis testing, significance levels, rejection regions, and strategies for increasing power in tests. Additionally, options for project proposals emphasize the review of scientific papers and data analysis, highlighting the importance of clarity in statistical analysis and results presentation. Students will also engage in poster presentations and peer evaluations to showcase their understanding and application of statistical methods.

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Midterm Review: Power, Multiple Regression, and Project Proposal Guidelines

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  1. STAT 104 Section 10 Daniel Moon

  2. Agenda • Midterm Review: Power • Multiple Regression • Project Proposal Guideline

  3. Power • Probability that a fixed level alpha significance test will reject H0 when a particular alternative value of the parameter is true. • State H0, Ha, the particular alternative we want to detect, and significance level alpha • Find rejection region of sample statistic (ex, proportion) • Calculate P( observing these value of sample statistic when alternative is true)

  4. Increasing power • Increase alpha • Consider a particular alternative that is farther away from null hypothesis • Increase sample size • Decrease sigma

  5. Agenda • Power • Multiple Regression • Project Proposal Guideline

  6. Simple Linear Regression

  7. Simple Linear Regression

  8. Confidence or Prediction Interval

  9. Agenda • Power • Multiple Regression • Project Proposal Guideline

  10. Project Proposal Guideline • Option A: Review of others’ paper • Option B: Analysis of data • Poster Presentation during reading period • Blank Review Form • TFs will grade the posters without access to any of the student’s reviews. • The instructor will grade the reviews before seeing any of the TFs’ poster reviews and grades.

  11. Project Proposal: Option A • Locating a scientific paper • Research journals • Visit library • hollis.harvard.edu • Poster • the afore-mentioned results of statistical tests • t-test, chi-square, multiple regression • Graphical display • Strength and Weakness of statistical analysis

  12. Project Proposal: Option B • Search data • Some links are on the class website • MIT-Harvard Database • Finance.google.com, • Background, Study of design or Observational study, Methods, Results, Conclusions

  13. What I am looking for • Your effort to gather data • Right use of statistical analysis • How much you give your time and thinking to your project? • Clear display of your result

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