Applied Statistics (M358K)

    Important/interesting external links
  • Questions and answers
  • VSauce: What is random?
  • Veritasium: What is NOT random?
  • A good read
  • R (main website)
  • Intro to R (by Google developers)
  • Open course statistics book
    • Class 1: August 29th
    Orientation.
  • A role model
  • The first-day handout
  • Reading assignment: Section 1.1 and Chapter IV (skip Section 4.1)
  • Homework I: Problems 4.20, 4.32, 4.42, 4.64, 4.104, 4.110, 4.118, 4.126, 4.138(a), 4.138(b) from Moore/McCabe/Craig -- due on Friday, September 7th
  • Homework I: Return form
  • Homework I: Return form (LaTeX; you might need to download some packages)
    • Class 2: August 31st
    What is statistics?
  • Quiz #1
  • Class notes: Our objectives.
  • Old class notes
  • Project #1 -- due on Monday, September 24th
    • Class 3: September 5th
    Data presentation [graphical]
  • Survey: Pies
  • Data: The pie survey
  • R-code: Bar charts
  • Data: Titanic (courtesy of Moore/McCabe/Craig)
  • R-code: Histograms
  • xkcd
  • A MOOC: Intro to Actuarial Science
  • Florence Nightingale

    • Class 4: September 7th
    Data presentation [numerical]
  • Data: Student-run cafe (courtesy of the Journal of Statistics Education)
  • Wikipedia: Mean household income
  • Graph: US Household Income Distribution
  • Homework II: Problems 1.94, 1.156, 1.162 (for both years), 1.176(a,b,c) from Moore/McCabe/Craig -- due on Monday, September 17th
  • Homework II: Instruction sheet
  • Some elementary probability problems
  • Some elementary probability problems -- Solutions

    • Class 5: September 10th
  • The Prerequisite In-Term Exam
    • Class 6: September 12th
    Standard deviation [empirical]. Scatterplots.
  • Data: Carats vs. dollars (courtesy of the Journal of Statistics Education)
  • R-code: Carats vs. dollars
  • Reading assignment: Section 2.1; review correlation
    • Class 7: September 14th
    Correlation. Causation.
  • Visualizing Correlations from the Wolfram Demonstrations Project by Ian McLeod
  • Anscombe Quartet from the Wolfram Demonstrations Project by Ian McLeod

    • Class 8: September 17th
    Sampling.
  • Andrew Gelman on the "replication crisis"
  • Follow up on the "Experiment experiment"
    • Class 9: September 19th
    Sampling (cont'd). Statistical inference.
  • Problem Set #1
  • Quiz #3--Solutions
    • Class 10: September 21st
    Randomized response. Statistical inference(cont'd).
  • James Grime on randomized response
  • Wikipedia: Randomized response
  • Problem Set #2
    • Class 11: September 24th
    Overview of Project #1.
    Class 12: September 26th
    Statistics and the sampling distribution.
  • R code on the sample-mean distribution
    • Class 13: September 28th
    The sampling distribution of a sample mean.
    The sampling distribution [counts]. The sampling distribution [proportions].
  • Wikipedia: Bernoulli trials
  • Wikipedia: Jacob Bernoulli
  • Wikipedia: The Binomial Distribution
    • Class 14: October 1st
    The normal distribution [review].
    The normal distribution areas [review].
  • The Normal Distribution from the Wolfram Demonstrations Project by Ian McLeod
  • Standard Normal Distribution Areas from the Wolfram Demonstrations Project by Ian McLeod
  • Quiz #5 - Solutions
  • Project #2 -- due on Monday, October 15th

    • Class 15: October 3rd
    The normal distribution [review].
  • Homework III: Problems 5.10, 5.16, 5.20, 5.24, 5.28, 5.34, 5.48, 5.50, and 5.70 from Moore/McCabe/Craig -- due on Wednesday, October 10th
    • Class 16: October 6th
    Sample mean (the normal sample).
  • Problem Set #3
    • The Central Limit Theorem [review].
  • Area of a Normal Distribution from the Wolfram Demonstrations Project by Eric Schulz

    • Class 17: October 8th
    Sample mean (the CLT).
  • Impact of Sample Size on Approximating the Normal Distribution from the Wolfram Demonstrations Project by Paul Savory

    • Class 18: October 10th
    More on the binomial distribution.
  • Mathematica demonstration: The Binomial Distribution
  • Mathematica demonstration: The Symmetry of successes and failures
  • Problem Set #4

    • Class 19: October 12th
    The normal approximation to the binomial distribution.
  • Mathematica demonstration: The Normal Approximation to the Binomial Distribution
  • Quiz #6 -- Solutions
  • Reading assignment: Introduction to Chapter VI
    • Parameter estimation: point estimates. Statistical confidence.

    Class 20: October 15th
    Parameter estimation: point estimates. Statistical confidence (cont'd).
  • Problem Set #5
  • Sample In-Term One: Problems
  • Sample In-Term One: Solutions
    • Class 21: October 17th
  • In-Term Exam One

    • Class 22: October 19th
    Principles of hypothesis testing.
    The reasoning of tests of significance.
    p-values.
  • Class notes

    • Class 23: October 22nd
    Inference as a decision.
  • Problem Set #6
  • Homework IV: Problems 6.12, 6.24, 6.36, 6.52, 6.56, 6.58, 6.70, 6.84 from Moore/McCabe/Craig -- due on Monday, October 29th
  • Reading assignment: Section 6.3
    • Class 24: October 24th
    Power of a test.
  • Problem Set #7
  • Homework V: Problems 6.98, 6.112, 6.122, 6.128, 6.130 from Moore/McCabe/Craig -- due on Wednesday, November 7th
  • Reading assignment: Introduction to Chapter VII
    • Class 25: October 26th
    Inference for the mean of a normal population with both parameters unknown.
    Class 26: October 29th
    Chi-squared distribution.
    t-distribution.
  • Statistics Associated with Normal Samples from the Wolfram Demonstrations Project by Pierre-Emmanuel Robert
  • Mathematica demonstration: The Chi-Squared Distribution
  • Wikipedia: William Sealy Gosset
  • Mathematica demonstration: The Student's t-distribution

    • Class 27: October 31st
    t-test.
  • Sample versus Theoretical Distribution from the Wolfram Demonstrations Project by Joe Bolte
  • Problem Set #8
  • Homework VI: Problems 7.20, 7.22, 7.24, 7.28, 7.30 from Moore/McCabe/Craig -- due on Wednesday, November 14th
  • Project #3 --due on Monday, November 26th
  • How to shade in R

    • Class 28: November 2nd
    Robustness of t-procedures.
  • Robustness of Student t in the One-Sample Problem from the Wolfram Demonstrations Project by Ian McLeod
  • The Royal Society of Chemistry on "robustness"

  • Quiz #8--due on Monday, November 12th
    • Comparing two means.
  • Class notes

    • Class 29: November 5th
    F-distribution.
  • Wikipedia: The F-distribution
  • The F-Ratio Distribution from the Wolfram Demonstrations Project by Chris Boucher
    • F-test
  • Quiz #8--Solutions
  • Quiz #9--due on Friday, November 16th

    • Class 30: November 7th
    "Pooled" samples.
  • Problem set #9--Solutions
  • R-code: Weight-loss campaign
  • Quiz #8--Solutions

    • Class 31: November 9th
    Inference for a single proportion.
  • Problem set #10--Solutions
  • Homework VII: Problems 8.52, 8.54(b), 8.60(a)(b), 8.62, 8.64, 8.69 from Moore/McCabe/Craig -- due on Wednesday, December 5th
  • Class notes:Single proportion
  • Quiz #10--Solutions

    • Class 32: November 12th
    Comparing two proportions.
  • Problem set #11--Solutions

    • Class 33: November 14th
    Analysis of two-way tables.
  • James Grime on the Simpson's paradox

    • Class 34: November 16th
    The chi-square test.
  • Tail Areas under Chi-Squared Distributions from the Wolfram Demonstrations Project by Chris Boucher

    • Class 35: November 19th
    Goodness of fit.
  • Class notes
    • Class 36: November 26th
    Chi-squared test of independence.
  • R-code: On-line courses or not?
    • Least-squares. Predictive statistical tools.
  • Least squares with the mechanical analogue
  • On plotting scatterplots in R
  • Google forms: Pizza and ice cream survey

    • Class 37: November 28th
    Simple linear regression.
  • Class notes
  • Least Squares Criteria for the Least Squares Regression Line from the Wolfram Demonstrations Project by Mariel Maughan
  • Mean, Fitted-Value, Error, and Residual in Simple Linear Regression from the Wolfram Demonstrations Project by Ian McLeod
  • Regression toward the Mean from the Wolfram Demonstrations Project by Ian McLeod

    • Class 38: November 30th
    Simple linear regression [cont'd].
  • Open-source statistics slides

    • Class 39: December 3rd
    The coefficient of determination.
  • R-code: Explanatory vs. response
  • R-code: Simple linear regression

    • Class 40: December 5th
    Confidence intervals for coefficients.
  • R-code: Confidence intervals
  • Wiki: Cyril Burt
    • The foster-twins study. Confidence intervals for mean response.
    Prediction intervals.

    Class 41: December 7th
  • In-Term Exam Two
  • In-term exam #2 -- Solutions
    • Class 42: December 10th
    ANOVA for regression.
  • Suggested textbook problems: 8.97, 8.99, 8.101, 9.31, 9.32, 9.20, 9.21, 10.9, 10.12, 10.13, 10.17

    • Lady tasting tea.
  • Wiki: Lady tasting tea
  • R. Fisher: Mathematics of a Lady Tasting Tea
  • Lady Tasting Coffee: A case study in experimental design

    • The German tank problem.
  • Wiki: German tank problem
  • xkcd: Twitter timeline height

  • Suggested textbook problems: 8.73, 9.23, 9.45, 9.46, 9.47, 9.49, 9.55, 10.24, 10.44, 10.45