Chief, Biostatistics Unit

Jean Mayer USDA Human Nutrition Research Center on Aging

at Tufts University

711 Washington Street

Boston, MA 02111

Gerard.Dallal@tufts.edu

- *
**Permissions*** - How to cite these pages
- Introductory remarks and an advisory
- Is statistics hard?
- An all-important foundation!
- The basics
- Look At the Data!
- Logarithms
- Summary Statistics
- Probability
- The Normal Distribution
- Outliers
*The Behavior of Sample Means*

(or*Why Confidence Intervals Always Seem to be Based On the Normal Distribution)*

- Confidence Intervals and Tests of Signficance
- Confidence Intervals
- Other Intervals
- Paired Data / Paired Analyses
- The Ubiquitous Sample Mean!
- What Student Did
- What Student
*Really*Did - Significance Tests
- Prologue
- Significance Tests/Hypothesis Testing
- Significance Tests Simplified
- Student's t Test for Independent Samples
- P values
- Why P=0.05?
- A Valuable Lesson
- One-Sided Tests
- Contingency Tables
- Proportions
- Odds
- Paired Counts

- Sample Size Calculations
- Some Underlying Theory & Some Practical Advice
- Controlled Trials
- Surveys
- Group Randomized, Multi-level, and Hierarchical Studies
- Nonparametric Statistics
- Simple Linear Regression
- Introduction to Simple Linear Regression
- How to Read the Output From Simple Linear Regression Analyses
- Correlation and Regression
- Frank Anscombe's Regression Examples
- Transformations In Linear Regression
- Which fit is better?
- The Regression Effect / The Regression Fallacy
- Comparing Two Measurement Devices: Part I
- Comparing Two Measurement Devices: Part II
- Linear models: Nomenclature
- Multiple Linear Regression
- Introduction to Regression Models
- Student's t Test for Independent Samples Is A Special Case of Simple Linear Regression
- Introduction to Multiple Linear Regression
- The Most Important Lesson You'll Ever Learn About Multiple Linear Regression Analyses
- How to Read the Output From Multiple Linear Regression Analyses
- The Meaning of Regression Coefficents
- What Does Multiple Regression Look Like?
- What Does Multiple Regression Look Like? (Part 2)
- Why Is a Regression Line Straight?
- Partial Correlation Coefficients
- Which Predictors Are More Important?
- The Extra Sum of Squares Principle
- Simplifying A Multiple Regression Equation
- Which variables go into a multiple regression equation?
- The Mechanics of Categorical Variables With More Than Two Categories
- Interactions In Multiple Regression Models
- Regression Diagnostics
- Analysis of Variance
- Single Factor ANOVA
- How to Read the Output From One-Way Analysis of Variance
- Multiple Comparisons
- Labeling Similar Means After Performing an Analysis of Variance
- Adjusting Results for Other Variables
- Adjusted Means, a.k.a. Least Squares Means
- Adjusted Means: Adjusting For Numerical Variables
- Adjusted Means: Adjusting For Categorical Variables
- Which Variables Should We Adjust For?
- Multi-Factor Analysis of Variance
- The Model For Two-Factor Analysis of Variance
- Pooling Effects
- Fixed and Random Factors
- Repeated measures analysis of variance

- Crossover Studies

A good case can be made that the best set of articles about statistical practice written for the practitioner is the series of Statistics Notes appearing in the British Medical Journal.

There have been many attempts at online statistics instruction. HyperStat is one
of
the better ones, not only for the content but also for the additional
links.

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August 8, 2007

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