Mathematical Statistics; Saint Joseph College, West Hartford, Connecticut

Ronald W. DeGray, Ph.D.

Basic Concepts - 1
Wednesday, 4 September 2002


Reference: The University of York, Department of Mathematics1
CARDANO, Girolamo 1501-1571
The Father of Probability

Topics:

  1. Probability: Intuitive concepts versus mathematical definitions
  2. How does one measure statistical chance? "The Risk to Civilization from Extraterrestial Objects", Clark Chapman, Soutwest Research Institute

Empirical and Probability Distributions - 2
Friday, 6 September 2002


Reference: National Hurricane Center
Probability that the center of the tropical cyclone will pass within 75 statute miles of a location


Topics:
  1. Data collection
    1. The Plight of Monarch Butterflies
  2. Random Experiments, Set Theory and Sample Spaces
  3. Relative Frequency and probability mass functions

 
  1. MINITAB
  2. Basic concepts
  1. Example Statistical Report 9/11
  2. Exercises

  1. Measures of Centers and Dispersion

  1. Measures of Centers and Dispersion

  2. Continuous-Type Data

The Mean, Variance and Standard Deviation - 7
Wednesday, 18 September 2002

All classes cancelled!

The Mean, Variance and Standard Deviation - 7
Friday, 20 September 2002

U. S. Department of the Interior
Growing Occupations

  1. Sample means and variances vs population means and variances

  2. Continuous-Type Data

 

Random Variables - 8
Monday, 23 September 2002

"Everyday Exposure to Radiation"
Duke University

  1. Population means and variances vs

  2. Sample means and variances

  3. Continuous-Type Data

  1. A real-world study requiring statistics
  2. Measures of dispersion
  3. Continuous-Type Data

Exploratory Data Analysis - 10
Friday, 27 September 2002


John Wilder Tukey, Born, July 16, 1915
Princeton University, Pictures and Portraits

  1. Stem-and-leaf
  2. The Five-number Summary
  3. Box-and-whisker diagam a.k.a., box plot

Exploratory Data Analysis cont. 11
Monday, 30 September 2002


Statistics Glossary v1.1
Valerie J. Easton & John H. McColl

Graphs - 12
Wednesday, 2 October 2002


Algebra.com

'Dartmouth Chance Lecture'

Exam - 13
Friday, 4 October 2002


Ralphie's Info Center
University of Colorado at Boulder

Takehome Exam

 

MINITAB Hints -14
Monday, 7 October 2002

The City University of New York Mathematics Department

Profiling; MINITAB Hints, cont. -15
Wednesday, 9 Ocotber 2002


Image by: Federal Bureau of Investigation: www.fbi.gov

"Profiling the DC Sniper"

Pofiling Careers

NPR's Bullying Reports - 16
Friday, 11 October 2002
Also


Training and Mobility of Researchers
The European Commission

Time Series and Probability Density Functions - 17
Wednesday, 16 October 2002

Follow-ups on Bulling and Geographic Profiling


Mapping Crime: Principle and Practice, by Keith Harries, Ph.D., December 1999

Probability Density Functions - 18
Friday, 18 October 2002


Normal PDF
Created by Michael A. Kropinski, Purdue University

Means and Variances - 19
Monday, 21 October 2002


The Chemistry Hypermedia Project

Percentiles and Quantiles - 20
Wednesday, 23 October 2002

Heating Degree Days


National Weather Service Climate Prediction Center

Probability and Set Theory - 21
Friday, 25 October 2002


Probabiltiy Models
Yale University Departement of Statistics

Probability and Set Theory continued - 22
28 October 2002


John Venn
University of Saint Andrews, School of Mathematical and Computational Sciences

Methods of Enumeration - 23
30 October 2002


Stirling's Formula
The Prime Pages

Methods of Enumeration cont. - 24
1 November 2002


The "bai" elephants, in Africa's Central African Republic, NPR
 Photo: Andrea Turkalo

Methods of Enumeration cont. - 25
4 November 2002


"Africa's forest elephants are targets of an acoustic monitoring effort"
Cornell Chronicle, October 21, 1999

Permutations, Combinations, Conditional Probability - 26
6 November 2002


National Election Studies
University of Michigan

Conditional Probability - 27
8 November 2002

P(A|B) = P(A and B)/P(B)

Conditional Probability and Independent Events - 28
11 November 2002


The Reverend Thomas Bayes
Daniel J. Strom
Introduction to Bayesian Statistics
Pacific Northwest National Laboratory

 

Bayes Rule - 29
13 November 2002


Keith Devlin
The Legacy of Reverend Bayes

Discrete Distributions - 30
15 November 2002


Minnesota State Lottery - Figuring the Odds

Mathematical Expectation - 31
18 November 2002


LAMP Real-time Analysis and Forecast Products
National Weather Service

 

The Bernoulli and Binomial Distribution - 32
20 November 2002


The Binomial Distribution
Michael Burton, The University of New South Wales

DNA and Probability - 33
22 November 2002
Jonathan J. Koehler, University of Texas
Chance Lectures


DNA
Discussing Life after Physics in Maryland
Dr. Miguel Rios, Jr. heads an organization that is principally concerned with systems biology and novel methods for integrating software applications and databases.

The Bernoulli and Binomial Distributions Revisited- 34
25 November 2002


J. Bernoulli
Images of Mathematicians on Postage Stamps
"Mathematics on Stamps Webring"
Oliver Faulhaber

The Binomial Distributions - 35
2 December 2002


Experiments and Experimental Design
Tulane University
Glenn A. Livesay, Ph.D.

The Mean and Variance of the BInomial Distribution - 36
4 December 2002


Chicago Public Library

Simulating the Bernoulli and Binomial Distribuitions - 37
6 December 2002


Self-Organization of Confined Two-Dimensional Flows
Fluid Dynamics Laboratory of Eindhoven University of Technology

Review - 38
9 December 2002


Careers in Statistics

  

Final Exam
12:00 - 3:00 p.m., Tuesday, December 17, 2002,