Title: Dr. Arsham's Statistics Site
Headings: 
Introduction to Statistical Thinking for Decision Making
The Birth of Probability and Statistics
Statistical Modeling for Decision-Making under Uncertainties:
From Data to the Instrumental Knowledge
Statistical Decision-Making Process
Questions Concerning Statistical the Decision-Making Process:
What is Business Statistics?
Common Statistical Terminology with Applications
Greek Letters Commonly Used as Statistical Notations
Type of Data and Levels of Measurement
Why Statistical Sampling?
Sampling Methods
Statistical Summaries
Representative of a Sample: Measures of Central Tendency Summaries
Selecting Among the Mode, Median, and Mean
Specialized Averages: The Geometric & Harmonic Means
Histogramming: Checking for Homogeneity of Population
How to Construct a BoxPlot
Steps to Construct a BoxPlot:
Measuring the Quality of a Sample
Selecting Among the Quartile Deviation, Mean Absolute Deviation, and Standard Deviation
Shape of a Distribution Function:
The Skewness-Kurtosis Chart
Numerical Example and Discussions
A Short Discussion on the Descriptive Statistic:
The Two Statistical Representations of a Population
Empirical (i.e., observed) Cumulative Distribution Function
Introduction
Probability, Chance, Likelihood, and Odds
How to Assign Probabilities?
General Computational Probability Rules
Combinatorial Math: How to Count Without Counting
Joint Probability and Statistics
Marginal Probability Function: The function:
Mutually Exclusive versus Independent Events
What Is so Important About the Normal Distributions?
What Is A Sampling Distribution?
What Is The Central Limit Theorem?
An Illustration of CLT
Properties of the Sampling Distribution of the Sample Means:
What Is"Degrees of Freedom"?
Applications of and Conditions for Using Statistical Tables
T - Table:
Z - Table:
Chi-square - Table:
F - Table:
Numerical Examples for Statistical Tables
Binomial Probability
Normal Density Function
Applications:
T-Density Function
Applications:
Chi-square Density Function
Applications:
F-Density Function
Applications:
Binomial Probability Function
Geometric Distribution
Negative Binomial Distribution
Hypergeometric Distribution
Exponential Density Function
F-Density Function
Chi-square Density Function
Multinomial Probability Function
Normal Density Function
Poisson Probability Function
Student T-Density Function
Triangular Density Function
Uniform Density Function
Necessary Conditions for Statistical Decision Making
Measure of Surprise for Outlier Detection
Homogeneous Population
Test for Randomness: The Runs' Test
Test for Normality
Introduction to Estimation
Qualities of a Good Estimator
Estimations with Confidence
What Is the Margin of Error?
Bias Reduction Techniques: Bootstrapping and Jackknifing
Prediction Intervals
What Is a Standard Error?
Sample Size Determination
Revising the Expected Value and the Variance
Subjective Assessment of Several Estimates Based on Relative Precision
Bayesian Statistical Inference: An Introduction
Managing the Producer's or the Consumer's Risk
Hypothesis Testing: Rejecting a Claim
Classical Approach to Testing Hypotheses
The Meaning and Interpretation of P-values (what the data say?)
Blending the Classical and the P-value Based Approaches in Test of Hypotheses
Bonferroni Method for Multiple P-Values Procedure
Power of a Test and the Size Effect
Parametric vs. Non-Parametric vs. Distribution-free Tests
Hypotheses Testing
Single Population t-Test
Two Independent Populations
Non-parametric Multiple Comparison Procedures
Introduction to Tests for Statistical Equality of Two or More Populations:
Equality of Two Normal Populations:
Multi-Means Comparisons: Analysis of Variance (ANOVA)
An Illustrative Numerical Example for ANOVA
Computation of sample SSB:
Computation of sample SSW:
ANOVA for Normal but Condensed Data Sets
ANOVA for Dependent Populations
Test for Equality of Several Population Proportions
Distribution-free Equality of Two Populations
Introduction to Applications of the Chi-square Statistic
Test for Crosstable Relationship
2 by 2 Crosstable Analysis
Identical Populations Test for Crosstable Data
Test for Equality of Several Population Medians
Goodness-of-Fit Test for Probability Mass Functions
Compatibility of Multi-Counts Test
Necessary Conditions for the Above Chi-square Based Testing
Testing the Variance: Is the Quality that Good?
Testing the Equality of Multi-Variances
Correlation Coefficients Testing
Simple Linear Regression: Computational Aspects
Regression Modeling and Analysis
Partitioning the Three Sum of Squares
Click on the image to enlarge it and THEN print it
Regression Modeling Selection Process
Covariance and Correlation
Pearson, Spearman, and Point-Biserial Correlations
Correlation, and Level of Significance
Independence vs. Correlated
How to Compare Two Correlation Coefficients?
Conditions and the Check-list for Linear Models
Analysis of Covariance: Comparing the Slopes
Residential Properties Appraisal Application
Introduction to Integrating Statistical Concepts
Hypothesis Testing with Confidence
Regression Analysis, ANOVA, and Chi-square Test
Regression Analysis, ANOVA, T-test, and Coefficient of Determination
Relationships among Distributions and Unification of Statistical Tables
Index Numbers and Ratios
Consumer Price Index
Ratio Index Numbers
Composite Index Numbers
Variation Index as a Quality Indicator
Labor Force Unemployment Index
Seasonal Index and Deseasonalizing Data
Human Ideal Weight:
The Body Mass Index
Metric and English Conversions:
Formulas for Lean Body
Statistical Technique and Index Numbers

Content: Doc)
Formulas Concerning the Mean (s) (PDF), Print to enlarge
A Conceptual Summary-Sheet
A Technical Summary-Sheet
Exercise Your Knowledge to Enhance What You Have Learned (PDF)
E-Labs and Computational Tools
Excel for Statistical Data Analysis
Widely Used Statistical Tables (PDF)
What Maths Do I Need for This Course? ( Word. Doc), A Sample of "How Things Can Go Wrong? " Companion Sites: Topics in Statistical Data Analysis
Time Series Analysis and Business Forecasting
Computers and Computational Statistics
Questionnaire Design and Surveys Sampling
Probabilistic Modeling
Systems Simulation
Probability and Statistics Resources
Success Science
Leadership Decision Making
Linear Programming (LP) and Goal-Seeking Strategy
Artificial-variable Free LP Solution Algorithms
Integer Optimization and the Network Models
Tools for LP Modeling Validation
The Classical Simplex Method
Zero-Sum Games with Applications
Computer-assisted Learning Concepts and Techniques
Linear Algebra and LP Connections
From Linear to Nonlinear Optimization with Business Applications
Construction of the Sensitivity Region for LP Models
Zero Sagas in Four Dimensions
Business Keywords and Phrases
Collection of JavaScript E-labs Learning Objects
Compendium of Web Site Review
Impact of the Internet on Learning & Teaching
The Business Statistics Online Course
To search the site, try E dit | F ind in page [Ctrl + f]. Enter a word or phrase in the dialogue box, e.g." parameter" or" probability". If the first appearance of the word/phrase is not what you are looking for, try Find Next. Introduction to Statistical Thinking for Decision Making
This site builds up the basic ideas of business statistics systematically and correctly. It is a combination of lectures and computer-based practice, joining theory firmly with practice. It introduces techniques for summarizing and presenting data, estimation, confidence intervals and hypothesis testing.