Statistics for Applications

Lecture Notes

SES #	TOPICS	SUPPORTING FILES
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