18.650 (formerly 18.443) | Fall 2006 | Undergraduate

Statistics for Applications

Lecture Notes

L1 Overview of some Probability Distributions (PDF) Body measurements data subset (weight, height, waist girth, abdomen girth) from this article: men, body_men.mat (MAT), women, body_women.mat (MAT)
L2 Maximum Likelihood Estimators (PDF)  
L3 Properties of Maximum Likelihood Estimators (PDF)  
L4 Multivariate Normal Distribution and CLT (PDF)  
L5 Confidence Intervals for Parameters of Normal Distribution (PDF) Normal body temperature dataset from this article: normtemp.mat (MAT) (columns: temperature, gender, heart rate).
L6 Gamma, Chi-squared, Student T and Fisher F Distributions (PDF)  
L7-L8 Testing Hypotheses about Parameters of Normal Distribution, t-Tests and F-Tests (PDF)  
L9 Testing Simple Hypotheses and Bayes Decision Rules (PDF)  
L10 Most Powerful Test for Two Simple Hypotheses (PDF)  
L11 Chi-squared Goodness-of-fit Test (PDF)  
L12 Chi-squared Goodness-of-fit Test for Composite Hypotheses (PDF)  
L13 Tests of Independence and Homogeneity (PDF)  
L14 Kolmogorov-Smirnov Test (PDF)  
L15-L16 Simple Linear Regression (PDF)  
L17-L18 Multiple Linear Regression (PDF)

Cigarette dataset - tar, nicotine, weight, carbon monoxide - from this article: cigarette.mat (MAT)

OECD Economic Development dataset: per capita income, percentage of labor force in agriculture, percentage in industry, percentage in service occupations, found here: oecd.mat (MAT)

L19-L20 General Linear Constraints in Multiple Linear Regression and Analysis of Variance and Covariance (PDF) Fruifly dataset from this article: fruitly.mat (MAT)
L21 Classification Problem, AdaBoost Algorithm (PDF)  
L22 Review  

Course Info

As Taught In
Fall 2006
Learning Resource Types
Lecture Notes
Problem Sets