Statistics DSBA – Spring 2026

Module 3

  • Seminar 1 [Jan 23]: Review of Module 2.
  • Seminar 2 [Jan 26]: Hypothesis Testing, One sample test for proportions, One sample test for mean, Two sample test for Proportions.
    [Notebook for class]
  • Seminar 3 [Feb 2]: Two-Sample Test for Means, Case I: Variances Known (Two-Sample Z-Test), Case II: Variances Unknown but Equal (Pooled t-Test), Case III: Variances Unknown and Unequal (Welch t-Test), Paired t-Test, The F-Test for Equality of Variances.
    [Notebook for class] [Diagram with formulas]
  • Seminar 4 [Feb 9]: Chi-Square Tests for Categorical Data. Hypothesis Testing: Goodness-of-Fit and Test of Independence (No Association).
    [Notebook for seminar][Notebook with solutions]
  • Seminar 5 [Feb 16]:One-Way ANOVA. Post Hoc Tests After One-Way ANOVA. Bonferroni Post Hoc Test. Tukey’s HSD Test.Two-Way ANOVA. [Notebook with solutions 1][Notebook with solutions 2]
  • Seminar 6 [Feb 27]:
  • Seminar 7 [March 7]:
  • Seminar 8 [March 6]:
  • Seminar 9 [March 16]:
  • Seminar 10 [March 23]: Consultation for Exam.
  • Exam – March 31

Attendance + Quiz grades [here]

Extra Material

1. Notes from the University of Sheffield [site]
2. Mostly harmless Statistics [site]
3. Table with formulas[here]
4. Problems from Module 1 [Download]
5. Problems from Module 2 [Download]

Z table [here]T table [here]Chi-sqrt Table [here]F table [here]
  • Monte Carlo Method
  • Ansari–Bradley test
  • Bootstrap confidence intervals
  • Kolmogorov–Smirnov test
  • Fisher’s exact test
  • Motivation for GLMs, Logistic regression, Poisson regression, Interpretation of coefficients
  • Cross-validation, Bootstrap methods, Bias–variance tradeoff, Model selection criteria (AIC, BIC)
  • Jarque–Bera test
  • verifying normality, Pearson-chi-sqrt. Shapiro–Wilk (best default), Anderson–Darling (strong tail sensitivity), Kolmogorov–Smirnov with Lilliefors correction, QQ-plot.
  • EDF-based (empirical distribution function) tests:
    Kolmogorov–Smirnov (KS),
    Kolmogorov–Smirnov with Lilliefors correction
    Anderson–Darling (AD),
    Cramér–von Mises (CvM),
  • Kruskal–Wallis test (“non-parametric ANOVA”). Jonckheere’s trend test. Dunnett’s test. Bartlett’s test
  • Breusch–Pagan test (for variance in Linear regression). Cook’s distance

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