Day 3

DAY 3

10. Introduction to Statistics
    • Day 3 Program
    • Outline (lecture)
    • Why measure? How to measure anything Measurement (powerpoint presentation #18)
    • Fermi Questions: Are there a half a billion windows in New York City? Are there 500 piano tuners in Chicago? [You may be better than you think you are at estimating some values.]
    • Descriptive Statistics
    • Measures of Central Tendency powerpoint presentation
    • Group Task #15: Descriptive Statistics
    • Inferential Statistics Probability, The null hypothesis, Confidence and significance levels, Statistical tests)
    • Confidence level and Confidence Interval
    • Calculating confidence interval from confidence level (web tool)
    • Statistical Significance
    • Chi-square test (powerpoint presentation #22)
    • Table of critical values for chi-square (short) (long table - 5 pages)
    • Group Task #16: Chi-square tests; (Answers)
    • Group Task #17: Funeral marches in F minor: Hypothesis (Answer)
    • Spurioius correlations - see <http://www.tylervigen.com/spurious-correlations
    • Interpreting p; “Highly” and “marginally” significant
    • Multiple Tests and Related Topics: Bonferroni Correction; File Drawer Effect
      22. Correct for multiple tests.
    • Publishing practice
    • Statistical tests - General remarks
      21. Make friends with a statistician.
11. Applied Statistics
    • Heroes and villains win opera (simplified analysis using chi-square test)
    • Population density and tempo (demonstrating Pearson’s r)
12. Some Advanced Analytic Techniques
    • Advanced Analytic Techniques
    • Cluster analysis: Orchestration Cluster analysis: From Classical to Romantic
    • Multi-dimensional scaling (MDS)
    • Modeling - B-flat trumpet
      23. If you torture the data long enough, it will confess to anything.
    • Foote Novelty (powerpoint presentation #26)
    • Homework review: Review questions and answers for Perttu (2007)
    • Review (first 23) slogans
    • Feedback Day 3