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PROBABILITY THEORY & INTRODUCTORY STATISTICS
REFERENCE CD


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This Reference CD consists of 6 documents of learning / training material, examples and question exercises 763 pages in all.

This material provides a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.   It will also enable you to identify, define, and apply to problem solving situations, basic statistical concepts and indices that include ratios, measures of central tendency, measures of dispersion, and the properties of the normal curve.   These documents really are exceptional in their content and detail.

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This Reference CD also includes Adobe PDF Reader for Windows 95, 98, 98SE, 2000, and XP to ensure you will be able to view these documents.


COMBINATIONS, PERMUTATIONS AND PROBABILITY
(57 pages)
Naval Education and Training
NAVEDTRA 14141, Chapters 8 & 9, December 1988

Definitions
Combinations
Principle of Choice
Permutations
Summary
Practice Problems
Probability - Basic Concepts
Probability of Success
Probability of Failure
Expectation
Compound Probabilities
Empirical Probabilities
Summary
Practice Problems
INTRODUCTION TO PROBABILITY
(520 pages)
Charles M. Grinstead, Swarthmore College
J. Laurie Snell, Dartmouth College

Discrete Probability Distributions
Continuous Probability Densities
Combinatorics
Conditional Probability
Distributions and Densities
Expected Value and Variance
Sums of Random Variables
Law of Large Numbers
Central Limit Theorem
Generating Functions
Markov Chains
Random Walks
Appendix A - Normal Distribution Table
Appendix B - Galton's Data
Appendix C - Life Table
DESCRIPTIVE & INFERENTIAL STATISTICS
(42 pages)

DESCRIPTIVE STATISTICS

Frequency Distribution
Order
Histogram
Polygon
Measures of Central Tendency
Arithmetic Mean
Median
Mode
Geometric Mean
Harmonic Mean

Measures of Variability
Mean Deviation
Standard Deviation


STATISTICAL INFERENCE

Review
Combinations
Permutations
Probability
Distributions
Binomial
Normal
Poisson

Interpretation of Standard Deviation
Standard Scores

Sampling
BASIC STATISTICS
(115 pages)
Army Correspondence Course Program
Subcourse FI0921, Edition B, April 1991

Comparative Measures
Types of Ratios
Uses of Indices

Descriptive Measures
Measures of Central Tendency
Measures of Dispersion

The Normal Curve
Characteristics of the Normal Curve
The Empirical Rule
The z Score
Table for Areas Under the Standard Normal Curve
STATISTICS
(10 pages)
DOE Fundamentals Handbook - Mathematics
Module 5, June 1992

Frequency Distribution
The Mean
Variability
Normal Distribution
Probability
Summary
STATISTICAL TECHNIQUES
(19 pages)
(L. Lindegren, Lund Observatory)
24 October 2002

Accuracy and Precision
Some ISO Definitions
Accuracy, Precision and Trueness
Measures of Precision (and Accuracy)
Standard Deviation: Interpretation
The Normal (Gaussian) Distribution
Relation Between (Two-sided) Confidence Interval and Standard Deviation for Normal Distribution
Deviations from the Normal Distribution
Quantiles (Fractiles), Percentiles, Quartiles, Etc
Error Bars and Box Plots
Error Propagation
Use of Confidence Interval (Instead of S.D.)
Confidence Interval Through Monte Carlo
Confidence Interval Through Resampling (Bootstrap Method)

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