Introductory Statistics
Descriptive Stats – Movie Reviews, Business Profits, Rainfall
Normal Distribution and Correlation – PGA/LPGA Drive Distance and Accuracy – 2008 Seasons
Normal Distribution and Diagnostic Tests – BMI for WNBA and NBA Players 2013-2014 EXCEL
Common Families of Probability Distributions – Examples
Regression Models
Simple Linear Regression – NFL Point Spreads and Actual Scores
Simple Linear Regression – Violations of Assumptions – Simulated Data
Simple Linear Regression – Autocorrelated Errors – U.S. Wine Consumption and Population 1934-2002 EXCEL
Linear Regression – NFL Point Predictions and Actual Scores – 2007
Simple Linear Regression – Graphing and Testing Model Assumptions – NBA Players Weights and Heights EXCEL
Simple Linear Regression – F-Test for Lack-of-Fit EXCEL Spreadsheet
Using EXCEL for Matrix Form of Multiple Regression Model – Hotel Energy Consumption PPT EXCEL
Weighted Least Squares – Cholesterol Drug Study with Unequal Subjects per Dose
Multiple Linear Regression – Estimating Elasticities – U.S. Sugar Price and Demand 1896-1914
Linear Regression with Quantitative and Qualitative Predictors – Bullet-Proof Fabric Layers and 3 Bullet Types EXCEL Spreadsheet
Intrinsically Linear Regression – Cobb-Douglas Production Function
Multiple Linear Regression – Cruise Ship Crew Size (Model Building and Cross-Validation)
Multiple Linear Regression – Efficiency of Muscle Work (Diagnostics)
Multiple Linear Regression – Texas January High Temperatures (Complete/Reduced Models)
Multiple Linear Regression – US Coal Mine Output for Large Mines 2012 (Transformations)
Quantile Regression – LPGA Earnings and Performance Statistics 2009-2010
Estimated Weighted Least Squares – Profits and Market Structure for High Advertising Firms
Nonlinear Regression – Orlistat to Reduce Fat Absorption
Poisson Regression – NASCAR Crash Data (1975-1979)
Logistic Regression with Grouped Data – Lobster Survival in Tether Experiment (PPT)
Logistic Regression – Pre-Challenger Field-Joint O-Ring Failures and Temperature
Negative Binomial Regression – NASCAR Lead Changes (1975-1979)
Gamma Regression – Napa Valley Marathon Speeds by Age and Gender (2015)
Beta Regression – Proportion of Prize Money by Race for Ford – NASCAR Races (1992-2000)
Multivariate Regression – Monthly British Butter Prices (1930-1936)
Trigonometric Regression – Tampa Bay Monthly Hotel Revenues
Systems of Regression Equations Firm Investment, Value, and Capital – 10 Firms (1935-1954)
Response Surface Model – Top Qualifying Speed by Track Dimensions @ NASCAR Tracks
Meta-Analysis and Meta-Regression – Airport Noise Effects on Property Values
Categorical Data Analysis
Chi-Squared Test and 1-Way ANOVA – Comparing 4 Diet Plans
Loglinear Models – Donner Party Survival
Relative Risks & Odds Ratios – John Snow’s Cholera Investigations
ANOVA and Mixed Models
Comparing 2 Means – Unequal Variances – Art Course Effects on Reading Development
1-Way ANOVA – Innoculating Amoebae
1-Way ANOVA with Numeric Factor – Dose Response
1-Way ANOVA Matrix Approach with Various Constraints – Sexual Side Effects of 4 Antidepressants
1-Way ANOVA – Weighted Least Squares – Body Mass Indices among NHL, NBA, and EPL Athletes
1-Way ANOVA and Multiple Comparison Methods – Comfort Ratings for 13 Fabric Types
1-Way Random Effects Model – NBA Player Game Efficencies 2016/7 Regular Season R Program
Randomized Block Design – Caffeine and Endurance
Latin Square Design – Tea Variety and Price Valuation
Balanced Incomplete Block Design – Car Price Quotes to 8 Interviewers by 28 Dealers
2-Way ANOVA – Thalidomide and TB Status in Weight Gain in HIV-1 Patients
2-Way ANOVA – One degree of Freedom for Non-additivity – Business Indices by 8 Sources over 18 years
2-Way ANOVA – Lacrosse Helmets Analysis
2-Way ANOVA – Beauty and Judgment – Halo Effect
2-Way Random Effects ANOVA – Repeatability and Reproducibility of Drill Hole Measurements
5-Way ANOVA – Potato Flavor Ratings
Unbalanced 2-Way ANOVA – Ethics Scores for Coast Guard Members
2-Way Mixed ANOVA – Women’s PBA Bowling Scores – 2009
Mixed Effects Model Fitting – Wine Ratings of 20 Varieties by 10 Raters
2^n Factorial Design – Chemical Oxygen Demand Removal from Distillery Spent Water
Fractional Factorial Design – Controlling Shrinkage in Wool Fabrics, 7 Treatments in 8 Runs
Nested 2-Factor ANOVA – Water Levels in Florida Swamps
Nested 2-Factor ANOVA – Comparison of 2 Shampoo Formulations on Combability
Repeated Measures ANOVA – Rogaine for Women’s Hair Growth
Repeated Measures ANOVA with No Between and 2 Within Factors (Multivariate Analysis) – Task Completion Times for Navigation Techniques and Input Methods EXCEL Spreadsheet
Split-Plot ANOVA – LPGA Golf Scores
Split-Plot ANOVA -Wool Shrinkage by Treatment and Dry Cycle Revolutions
Multivariate ANOVA – Potato Ratings by Cooking Type
Crossed / Nested ANOVA – Moistness of Tree Branch Cuts
Hasse Diagrams for Crossed/Nested ANOVA – Pro Bowling Scores 2006-2007 Season (Restricted Model)
Hasse Diagrams for Crossed/Nested ANOVA – Pro Bowling Scores 2006-2007 Season (Unrestricted Model)
Analysis of Covariance – Comparison of Trout Head Lengths for 2 Lakes
Crossover Design in Modified Latin Square – 4 Irrigation Methods for water Usage and Corn Yield
Generalized Linear Mixed Model – English Premier League Goals – 2003
Meta-Analysis – Ford/Chevy Finishing Positions in NASCAR Races 1993-2000
Survival Analysis
Kaplan-Meier Estimation and Log-Rank Test for Ventilated and Control Flies
Spatial Data Analysis
Autocorrelation Analysis of Federal Land Values and Corn/Crop Data for Iowa Counties – 1926
Probability and Probability Distributions / Hypothesis Testing / Estimation
Bayes’ Rule – OJ Simpson, Gettysburg, Craps
Bivariate Probability Distributions – Television Sales (PPT)
Normal Distribution – U.S. County Vote for Bush – 2004
Bivariate Normal Distribution – Heredity and Heights (Francis Galton)
Poisson Distribution – English Premier League Soccer Scores 2006/7 Season
Bayesian Updating of a Probability of Success – Yankees/Red Sox 2004
Likelihood Ratio, Wald, and Lagrange Multiplier Tests – European Premier League Goals 2004 Season
Permutation Tests – WNBA/NBA Body Mass Indexes and English Premier League 2012 Home Field Advantage
Hierarchical Bayesian Analysis of Proportions – Dwight Howard Free Throw Shooting (2013-2014)
Multinomial Distribution – Soccer Game Outcomes for 5 European Premier Leagues
Mixture of Normal Distributions – Body Mass Indices of NBA, WNBA, EPL, NHL Athletes
Application of the Bootstrap – Film Average Shot Lengths
Inference for a Proportion – Results of an ESP Experiment
Multivariate Statistical Methods
Bivariate Paired t-test – WNBA Home Spread and Over/Under Deviations 2010-2018 Regular Seasons R Program