Course Topics
Introduction to Linear Models
Topics:
- Simple Linear Regression Examples
- Assumptions for Linear Models
- Ordinary Least Squares (OLS) estimators
- R2
- Residuals
-
Household Spending on Alcohol vs. Tobacco
Data and Story Library
- Amazon River Water Levels
Applied Linear Regression, Weisberg, p.31.
-
Normal Body Temperature, Gender, and Heart Rate
Journal of Statistics Education Data Archive, normtemp.dat
- Olympic Records
Applied Linear Regression, Weisberg, p.29.
- Age and Systolic Blood Pressure
Statistics in Medicine, Colton, p.189, Table 6.1.
Transformations
- Bacteria Deaths Due to X-Ray
Radiation
Regression Analysis By Example, Chatterjee and Price, p.36.
- World
Billionaires 1992
Data and Story Library
- Brain and Body Weights of
Mammals
Applied Linear Regression, Weisberg, p.144.
- Size of Romanesque Churches
Applied Linear Regression, Weisberg, p.149.
- Electricity Usage,
Temperature and Occupancy
A Casebook for a First Course in Statistics and Data Analysis, Chatterjee,
Handcock and Simonoff, p.177.
- Estimates of Flock Size
Applied Linear Regression, Weisberg, p.102.
- Estimating Rates of Return
of Investments
A Casebook for a First Course in Statistics and Data Analysis, Chatterjee,
Handcock and Simonoff, p.186.
- PCB Contamination of U.S.
Bays and Estuaries
A Casebook for a First Course in Statistics and Data Analysis, Chatterjee,
Handcock and Simonoff, p.164.
-
Televisions, Physicians, and Life Expectancy
Journal of Statistics Education Data Archive, televisions.dat
- Tree Diameter
Applied Linear Regression, 1st ed., Weisberg, p.139, 1980.
- Advertising Revenue
Regression Analysis By Example, Chatterjee & Price, 2nd ed 1991, pg 257
Inference in Linear Regression
Topics:
-Inferences concerning intercept and slope
-Confidence intervals for intercept and slope
-Prediction intervals for E(Y)
-Regression through the Origin
-ANOVA Approach to regression
-F-distribution
- Voting Fraud in an Election
A Casebook for a First Course in Statistics and Data Analysis, Chatterjee,
Handcock and Simonoff, p.213.
- Plastic Hardness
Applied Linear Statistical Models, Neter, Kutner, Nachtsheim and
Wasserman, p.39, CH01PR22.DAT.
Many of the previous data sets can also be used here.
Regression Diagnostics
Topics:
- Outliers
- Influential points
- Graphical diagnostics
- Remedies
- Weighted Least Squares
- Household
Spending on Alcohol vs. Tobacco
Data and Story Library
- Cheddar
Cheese Taste
Data and Story Library
- Electricity Usage,
Temperature and Occupancy
A Casebook for a First Course in Statistics and Data Analysis, Chatterjee,
Handcock and Simonoff, p.177.
- PCB Contamination of U.S. Bays and Estuaries
A Casebook for a First Course in Statistics and Data Analysis, Chatterjee,
Handcock and Simonoff, p.164.
- Rat Data
Applied Linear Regression, Weisberg, p.122.
- Repair Times For Computers
Regression Analysis By Example, Chatterjee and Price, p.16.
- Stopping Times and Distances of Automobiles
Applied Linear Regression, Weisberg, p.161.
- Television Rating Data
Regression Analysis By Example, Chatterjee and Price, p.25.
Regression in Matrix Notation
Multiple Regression
Topics:
- Why multiple regression?
- Examples
- Assumptions
- Visual representation
- Estimation
- Fundamental Equation of Regression Analysis
- ANOVA approach to Multiple regression
- Regression diagnostics
- Marginal effects of covariates (Extra sums of squares)
- Pooled tests of significance
- Uncorrelated Predictors
- Multicollinearity
- Confounding
- Cheddar
Cheese Taste
Data and Story Library
-
Cigarette Data
Journal of Statistics Education Data Archive, cigarettes.dat
- Work Crew Productivity
Applied Linear Statistical Models, Neter, Kutner, Nachtsheim and
Wasserman, p.286, CH07TA06.DAT.
- Nutritionally Deficient Children
Applied Regression Analysis and Other Multivariable Methods, Kleinbaum
& Kupper, p.132.
- Equal Educational Opportunity Data
Regression Analysis By Example, Chatterjee and Price, p.176.
- Gas Vapor Data
Applied Linear Regression, Weisberg, p.138.
- Influence of Previous Weather on Ozone Levels
Applied Linear Regression, Weisberg, p.63.
- PCB Contamination of U.S.
Bays and Estuaries
A Casebook for a First Course in Statistics and Data Analysis, Chatterjee,
Handcock and Simonoff, p.164.
-
Statistics of Poverty and Inequality
Journal of Statistics Education Data Archive, poverty.dat
- Brand Preference
Applied Linear Statistical Models, Neter, Kutner, Nachtsheim and Wasserman,
p.252, CH06PR05.DAT
- Property Valuation
Regression Analysis By Example, Chatterjee and Price, p.257.
- Rat Data
Applied Linear Regression, Weisberg, p.122
- Repair Times For Computers
Regression Analysis By Example, Chatterjee and Price, p.16.
- Systolic Blood Pressure
Applied Regression Analysis and Other Multivariable Methods, Kleinbaum
& Kupper, p.60.
- Land Valuation
Applied Linear Regression, Weisberg, p.193.
- A Study of Supervisor Performance
Regression Analysis By Example, Chatterjee and Price, p.69.
- Televisions,
Physicians, and Life Expectancy
Journal of Statistics Education Data Archive, televisions.dat
- Television Rating Data
Regression Analysis By Example, Chatterjee and Price, p.25.
- Bicycling Exercise Tolerance
Applied Linear Statistical Models, Neter, Kutner, Nachtsheim, Wasserman, 4th ed. 1996 CH23TA04.DAT
Qualitative Predictor Variables
Topics:
- Categorical Variable (2 levels)
- Categorical Variable (3 levels)
- Mixture of Continuous and Categorical Variables
- Two Qualitative Predictors
- Two Qualitative and One Continuous Predictor
Determinants of Plasma Carotene and Retinol
Model Building Strategies
Topics:
- Data Collection and Preparation
- Reduction of Covariates
- Model Refinement
- Model Validation
Determinants of Wages from the Current Population Survey
This sample write-up is an example of the type of scientific writing that is expected.
Single Factor Analysis of Variance
Topics:
- Definitions
- Regression versus ANOVA
Analysis of Covariance
Two Factor Analysis of Variance
Topics:
- Why two factor ANOVA?
- Forced Expiratory Volumes
Applied Regression Analysis and Other Multivariable Methods, Kleinbaum
& Kupper, p.323.
- Stress Reduction
Applied Regression Analysis and Other Multivariable Methods, Kleinbaum
& Kupper, p.344.
- Average Patient Waiting Time
Applied Regression Analysis and Other Multivariable Methods, Kleinbaum
& Kupper, p.346.
Interactions
Topics:
- Concepts
- Parametrization
- Interaction between qualitative and quantitative covariates,
- Interaction between 2 qualitative covariates
- Testing specific hypotheses
- Hay Fever Relief
Applied Linear Statistical Models, Neter, Kutner, Nachtsheim and Wasserman, p.841,
CH19PR14.DAT.
- Tool Life
Applied Linear Regression, Weisberg, p.191.
- Forced Expiratory Volumes
Applied Regression Analysis and Other Multivariable Methods, Kleinbaum
& Kupper, p.323.
- Salary Survey Data
Regression Analysis By Example, Chatterjee and Price, p.97.
Experimental Studies
Topics:
- Clinical Trials
- Randomization
- Sample size and Power
Complex Data Sets
These data sets are more complex than the ones used for weekly assignments. They
were used for the two projects given at midterm and for the final take-home exam.
Students were required to assimilate all the material covered in the course and
to make various decisions affecting the course of the analysis, such as which
covariates to drop, which to transform, which hypotheses to test. Decisions made
early in the analysis could lead to very different final models. The students
needed to remain aware of their aims and to determine whether the final model
achieved these aims and led to a meaningful interpretation.
- Cloud Seeding Data
Applied Linear Regression, Weisberg, p.170.
- Crash
Test Dummies
Data and Story Library
- Fuel Consumption by State
Applied Linear Regression, Weisberg, p.35.
- Galápagos Island Species Data
Applied Linear Regression, Weisberg, p.224.
- Factors Influencing
Motor Insurance Rates
DATA: A Collection of Problems from Many Fields for the Student and Research
Worker, Andrews and Hertzberg, p.415.
- Land Rent Data
Applied Linear Regression, Weisberg, p.162.
- Mathematics Proficiency and the Home Environment
Applied Linear Statistical Models, Neter, Kutner, Nachtsheim and Wasserman, p.440,
CH10TA11.DAT.
- Determinants of Plasma Carotene and Retinol
- SENIC Project
Applied Linear Statistical Models, Neter, Kutner, Nachtsheim and Wasserman, p.1365,
Appendix C.1.
- SMSAs in the U.S.
Applied Linear Statistical Models, Neter, Kutner, Nachtsheim and Wasserman, p.1367,
Appendix C.2.
- U.S. Crime Rate
Data and Story Library
-
U.S. Temperatures
Data and Story Library
- Determinants of Wages from the Current Population Survey
- Air Pollution in U.S. Cities (USAIR.DAT)
A Handbook of Small Data Sets, Hand, Daly, Lunn, McConway and Ostrowski, 1994, pg 20
-
Life Insurance Premiums (PREMIUM.DAT)
A Handbook of Small Data Sets, Hand, Daly, Lunn, McConway and Ostrowski, 1994, pg280
-
Elective Hernia Repair (HERNIOR.DAT)
A Handbook of Small Data Sets, Hand, Daly, Lunn, McConway and Ostrowski, 1994, pg390
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©Copyright 1997, Therese A. Stukel, Dartmouth College