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Contents
Contents
Ceng 272 Statistical Computations Lecture Notes
Cem Özdogan
Date:
15 February 2012
Contents
List of Tables
List of Figures
First Meeting
Lecture Information
Overview
Text Book
Grading Criteria & Policies
Introduction to Statistics and Data Analysis
Overview
Role of Probability
Sampling Procedures
Measures of Location: Sample Mean and Median
Measures of Variability
Discrete and Continuous Data
Statistical Modeling, Scientific Inspection, and Graphical Diagnostics
Graphical Methods and Data Description
General Types of Statistical Studies
Exercise Set I
Probability
Sample Space
Events
Counting Sample Points
Probability of Event
Additive Rules
Conditional Probability
Multiplicative Rules
Bayes'Rules
Exercise Set II
Random Variables and Probability Distributions
Concept of a Random Variable
Discrete Probability Distributions
Continuous Probability Distributions
Joint Probability Distribution
Exercise Set III
Mathematical Expectation
Mean of a Random Variable
Variance and Covariance
Means and Variance of Linear Combinations of Random Variables
Chebyshev's Theorem
Exercise Set IV
Some Discrete Probability Distributions
Introduction and Motivation
Discrete Uniform Distribution
Binomial and Multinomial Distribution
Hypergeometric Distribution
Negative Binomial and Geometric Distributions
Poisson Distribution and the Poisson Process
Exercise Set V
Some Continuous Probability Distributions
Continuous Uniform Distribution
Normal Distribution
Areas Under the Normal Curve
Applications of the Normal Distribution
Normal Approximation to the Binomial
Gamma and Exponential Distributions
Chi-Squared Distribution
Lognormal Distribution
Exercise Set VI
Fundamental Sampling Distributions and Data Distributions
Random Sampling
Some important statistics
Data Display and Graphical Methods
Sampling Distribution
Sampling Distribution of Means
Sampling Distribution of Means (Continued)
Sampling Distribution of
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Exercise Set VII
References:
Vita
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Cem Ozdogan 2012-02-15
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