Book:H.T. Hayslett, MS/Statistics Made Simple/Third Edition

Subject Matter

 * Statistics

Contents

 * Foreword


 * $1$ What is Statistics?
 * The Present Importance of Statistics
 * Two Kinds of Statistics


 * $2$ Pictorial Description of Data
 * Introduction
 * Selecting a Random Sample
 * Classification of Data
 * Frequency Distributions and Cumulative Frequency Distributions
 * Graphical Representation of Data
 * Histogram
 * Frequency Polygon
 * Ogive
 * Exercises


 * $3$ Measures of Location
 * Introduction
 * The Mid-range
 * The Mode
 * The Median
 * The Arithmetic Mean
 * The Median of Classified Data
 * Summation of Notation
 * The Mean of Classified Data
 * Exercises


 * $4$ Measures of Variation
 * Introduction
 * The Range
 * The Mean Absolute Deviation
 * The Variance and the Standard Deviation
 * The Variance and Standard Deviation of Classified Data
 * Exercises


 * $5$ Elementary Probability and the Binomial Distribution
 * Introduction
 * Probabilities of Simple Events
 * Probabilities of Two Events
 * Probabilities for Combinations of Three or More Events
 * Permutations
 * Fundamental Principle
 * Combinations
 * More Probability
 * The Binomial Distribution
 * The Theoretical Mean of the Binomial Distribution
 * The Theoretical Variance of the Binomial Distribution
 * Exercises


 * $6$ The Normal Distribution
 * Introduction
 * The Normal Distribution
 * Use of Standard Normal Tables
 * More Normal Probabilities
 * The Normal Approximation to the Binomial
 * Theorem
 * Exercises


 * $7$ Some Tests of a Statistical Hypothesis
 * Introduction
 * The Nature of a Statistical Hypothesis -- Two Types of Error
 * Test of $H_0: \pi = \pi_0$ versus a Specified Alternative
 * Tests about the Mean of a Normal Distribution
 * Exercises


 * $8$ More Tests of Hypotheses
 * Introduction
 * Test of $H_0: \mu = \mu_0$, Normal Population, $\sigma^2$ Unknown
 * Tests about the Mean of a Non-normal Population
 * Tests about the Difference of Two Proportions
 * Tests about the Difference of Tow Means
 * Exercises


 * $9$ Correlation and Regression
 * The Sample Correlation Coefficient]
 * Computation of $r$
 * Testing Hypotheses about the Population Correlation Coefficient
 * Linear Regression
 * Finding the Regression (Least-squares) Line
 * Testing Hypotheses about $\mu$ in a Regression Problem
 * Testing Hypotheses about $\beta$ in a Regression Problem
 * Exercises


 * $10$ Confidence Limits
 * Introduction
 * A Note in Inequalities
 * Confidence Intervals for $\mu$
 * Confidence Interval for $\pi$
 * Confidence Interval for $\mu_1 - \mu_2$
 * Confidence Interval for $\pi_1 - \pi_2$
 * Confidence Interval for $\rho$
 * Exercises


 * $11$ Non-Parametric Statistics
 * Introduction
 * The Chi-squared Distribution
 * Contingency Tables
 * The Rank-correlation Coefficient
 * The Sign Test (One Population)
 * The Wilcoxon Signed-rank Test
 * The Rank-sum Test (Two Populations)
 * Exercises


 * $12$ The Analysis of Variance
 * Introduction
 * One-way Analysis of Variance
 * One-way Analysis of Variance -- Another Approach
 * One-way Analysis of Variance, Different Sample Sizes
 * Two-way Analysis of Variance
 * Exercises


 * Appendix


 * List of Selected Symbols
 * Tables
 * $t$_Distribution
 * Squares
 * Square Roots
 * Area of the Standard Normal Distribution
 * $\chi^2$-Distribution
 * Fisher-$z$ Values
 * Spearman Rank-correlation Coefficient
 * Wilcoxon Signed-rank Values
 * Rank-sum Critical Values
 * $F$-Distribution


 * Answers to Exercises
 * Index



Source work progress
* : Chapter $\text {II}$: Pictorial Description of Data: Introduction