statistics

Table of Contents

Introduction
Descriptive statistics
- Tabular methods
- Graphical methods
- Numerical measures
  - Outliers
  - Exploratory data analysis
Probability
- Events and their probabilities
- Random variables and probability distributions
- Special probability distributions
  - The binomial distribution
  - The Poisson distribution
  - The normal distribution
Estimation
- Sampling and sampling distributions
- Estimation of a population mean
- Estimation of other parameters
- Estimation procedures for two populations
Hypothesis testing
Bayesian methods
Experimental design
- Analysis of variance and significance testing
- Regression and correlation analysis
  - Regression model
  - Least squares method
  - Analysis of variance and goodness of fit
  - Significance testing
  - Residual analysis
  - Model building
  - Correlation
Time series and forecasting
Nonparametric methods
Statistical quality control
- Acceptance sampling
- Statistical process control
Sample survey methods
Decision analysis

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Photos

normal probability distribution

scatter diagram with estimated regression equation

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Topics

Simpson’s paradox cluster analysis regression to the mean measurement scale law of large numbers sampling Monte Carlo method distribution function inference estimation anthropology analysis probability theory geography cryptology economics computer science combinatorics algebra political science

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Key People

Karl Pearson

Karl Pearson

British mathematician

Sir Ronald Aylmer Fisher

British geneticist and statistician

Mollie Orshansky

American statistician

Richard von Mises

American mathematician

P.C. Mahalanobis

Indian statistician

David Cox

David Cox

British statistician

Hans Rosling

Swedish physician and statistician

W. Edwards Deming

American statistician and educator

Neyman, Jerzy

Jerzy Neyman

Polish mathematician and statistician

Quetelet, Adolphe

Adolphe Quetelet

Belgian astronomer, sociologist, and statistician

John Graunt

English statistician

Walker, Francis A.

Francis A. Walker

American economist

Francis Ysidro Edgeworth

Irish economist

Blackwell, David

David Blackwell

American statistician and mathematician

Nikolay D. Kondratyev

Russian economist

Charles Benedict Davenport

American zoologist

Jacques Bertillon

French statistician

John R. McCulloch, detail of an oil painting by Sir Daniel Macnee; in the National Portrait Gallery, London.

John R. McCulloch

British economist

Ernst Engel

German statistician

Corrado Gini

Italian statistician

Quiz

Equations written on blackboard

Numbers and Mathematics

Italian-born physicist Dr. Enrico Fermi draws a diagram at a blackboard with mathematical equations. circa 1950.

Define It: Math Terms