Statistics Notes

Chapter 9

Statistics Notes — Prediction Intervals

Statistics Notes — Linear Regression

Statistics Notes — Correlation

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Chapter 8

Statistics Notes — Testing the Difference between Proportions

Statistics Notes — Testing the Difference between Means — Dependent Samples

Statistics Notes — Testing the Difference between Means — Small Independent Samples

Statistics Notes — Testing the Difference between Means — Large Independent Samples

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Chapter 7

Statistics Notes — Hypothesis Testing for Variance and Standard Deviation

Statistics Notes — Hypothesis Testing for Population Proportions

Statistics Notes — Hypothesis Testing for the Mean (Small Samples)

Statistics Notes — Hypothesis Testing for the Mean (Large Samples)

Statistics Notes — Introduction to Hypothesis Testing

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Chapter 6

Statistics Notes — Confidence intervals for Variance and Standard Deviation

Statistics Notes — Confidence intervals for Population Proportions

Statistics Biography — William Sealy Gosset

Statistics Notes — Confidence Intervals for the Mean (Small Samples)

Statistics Biography — Ronald A. Fisher

Statistics Notes — Confidence Intervals for the Mean (Small Samples)

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Chapter 5

Statistics Notes — The Central Limit Theorem

Statistics Notes — Sampling Distributions

Biography — Abraham de Moivre

Biography — Carl Friedrich Gauss

Normal Approximations to Binomial Distributions

Normal Approximation to the Binomial Distribution Demonstration

Normal Distribution Calculator

The Standard Normal Distribution 2

The Standard Normal Distribution

Standard Normal Distribution Table

Properties of Normal Distribution 2

Properties of Normal Distribution

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Chapter 4

Multinomial Distribution

Hypergeometric Distribution

Negative Binomial Distribution

Geometric Distribution

Biography — Simeon Denis Poisson

Poisson Distribution

Poisson Distribution Table (partial) — Not Cumulative

How to Use That Calculator to Construct a Binomial Probability Distribution Histogram

Binomial Distribution — Mean, Variance, and Standard Deviation

How to Use That Calculator to Construct a Binomial Probability Distribution

Binomial Probability — Exactly, At Least, Less Than, More Than

How to Use that Calculator to Find Binomial Probability

Biography — Jacob Bernoulli

Binomial Probability Experiment

The Rosetta Stone and The Rosetta Project

Expected Value

Variance of a Probability Distribution — A Shortcut Formula

Mean, Variance, and Standard Deviation of a Probability Distribution

Discrete Probability Distribution

Random Variables, Discrete and Continuous Random Variables

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Chapter 3

Permutations and Combinations 2

Permutations and Combinations

Counting Principle

Probability Examples using the Addition Rule and Conditional Probability

Probability Examples Using the Addition and Multiplication Rules

Summary of Basic Probability Rules for Events A and B

Common Probability Examples using the Addition Rule 2

Common Probability Examples using the Addition Rule

Probability Rules, Compound Events, Mutually Exclusive and Non-Mutually Exclusive Events, Addition Rule

Probability Examples using Conditional Probability

Conditional Probability, A Manipulation of the Multiplication Rule

Common Probability Examples using the Multiplication Rule

Probability Rules, Compound Events, Dependent and Independent Events, Multiplication Rule

The Strong Law of Small Numbers

The Law of Truly Large Numbers

The Hardy-Weinberg Principle — G.H. Hardy, Wilhelm Weinberg

Odds

The Law of Large Numbers

Relative Frequency, Experimental Probability

Classical, Theoretical Probability

Biography — Reginald Crundall Punnett

Tree Diagram, Probability Distribution using a Tree Diagram

Common Probability Examples

Probability Scale

Probability Introduction

Biography — Pierre-Simon Laplace

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Chapter 2

The Standard Score — z-score

How to Use that Calculator to Find Measures of Position, Box-and-Whisker Plot

Measures of Positions, Quartiles, Box-and-Whisker Plot

Biography — Pafnuti Chebyshev

How to Use that Calculator to find Sample and Population Standard Deviation

Standard Deviation for Grouped Data

Range Rule of Thumb for Standard Deviation

Interpreting Standard Deviation — Chebychev’s Theorem

Coefficient of Variation and Pearson’s Index of Skewness

Interpreting Standard Deviation — The Empirical Rule (68-95-99.7 Rule)

Measures of Variation — Shortcut Formula

Measures of Variation

Biography — John Wilder Tukey

Biography — Karl Pearson

Midrange, Trimean, Trimmed Mean, Midhinge

The Shape of Distributions

Measures of Central Tendency

Biography — Vilfredo Pareto

Sturges’ Rule

Graphs Of Frequency Distributions Slideshow

Frequency Distribution Slideshow

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Chapter 1

Sampling Techniques Slideshow

Data Collection Slideshow

Designing A Statistical Study Slideshow

Data Slideshow

Population and Samples Slideshow

Hasty Generalization

Making Conclusions — Statistical Inference — Hasty Generalization

Introduction Slideshow

Statistics Standards

Statistics Sections