STAT, Reprint (with Review Cards and Bind-In Printed Access Card)

by Johnson, Robert R.; Kuby, Patricia J.

• ISBN13: 9780538735032
• ISBN10: 0538735031
• Edition: 1st
• Format: Paperback
• Copyright: 2009-04-17
• Publisher: Duxbury Press

Summary

Created through a "reader-tested, expert-approved" review process, STAT is an extremely concise, visually appealing new book that introduces essential statistical concepts without any delays or distractions. This brief, affordable paperback includes a full suite of learning aids to accommodate your busy lifestyle, including chapter-by-chapter study cards, self-quizzes to help you review the most important concepts, downloadable flash cards, and interactive video, features that let you learn wherever you are, whenever you have time. From its abbreviated, no-nonsense title to its useful content and engaging style, STAT is the perfect general introductory statistics book for modern learners.

Table of Contents

Descriptive Statistics

Statistics

What is Statistics?

Measurability and Variability

Data Collection

Comparison of Probability and Statistics

Statistics and Technology

Descriptive Analysis and Presentation of Single-Variable Data

Graphical Presentation of Data

Graphs, Pareto Diagrams, and Stem-And-Leaf Displays

Frequency Distributions and Histograms

Numerical Descriptive Statistics

Measures of Central Tendency

Measures of Dispersion

Measures of Position

Interpreting and Understanding Standard Deviation

The Art of Statistical Deception

Mean and Standard Deviation of Frequency Distribution (Optional)

Descriptive Analysis and Presentation of Bivariate Data

Bivariate Data

Linear Correlation

Linear Regression.?

Probability

Probability

Probability of Events

Conditional Probability of Events

Rules of Probability

Mutually Exclusive Events

Independent Events

Mutually Exclusive, Independent Events--A Relationship?

Probability Distributions (Discrete Variables)

Random Variables

Probability Distribution of a Discrete Random Variable

Mean and Variance of a Discrete Probability Distribution

The Binomial Probability Distribution

Mean and Standard Deviation of the Binomial Distribution

Normal Probability Distributions

Normal Probability Distributions

The Standard Normal Distribution

Applications of Normal Distributions

Notation

Normal Approximation of the Binomial

Sample Variability

Sampling Distributions

The Sampling Distribution of Sample Means

Application of the Sampling Distribution of Sample Means

Inferential Statistics

Introduction to Statistical Inferences

The Nature of Estimation

Estimation of a Mean ? (s known)

The Nature of Hypothesis Testing

Hypothesis Test of Mean ? (s Known): A Probability Value Approach

Hypothesis Test of Mean ? (s Known): A Classical Approach

Inferences Involving One Population

Inferences About Mean ? (s Unknown)

Inferences About the Binomial Probability of Success

Inferences About Variance and Standard Deviation

Inferences Involving Two Populations

Independent and Dependent Samples

Inferences Concerning the Mean Difference Using Two Dependent Samples

Inferences Concerning the Difference Between Means Using Two Independent Samples

Inferences Concerning the Difference Between Proportions Using Two Independent Samples

Inferences Concerning the Ratio of Variances Using Two Independent Samples

More Inferential Statistics

Applications of Chi-Square

Chi-Square Statistic

Inferences Concerning Multinomial Experiments

Inferences Concerning Contingency Tables

Analysis of Variance

Introduction to the Analysis of Variance Technique

The Logic Behind ANOVA

Applications of Single-Factor ANOVA

Linear Correlation and Regression

Linear Correlation Analysis

Inferences About the Linear Correlation Coefficient

Linear Regression Analysis

Inferences Concerning the Slope of the Regression Line

Confidence Interval Estimates For Regression

Understanding the Relationship Between Correlation and Regression

Elements of Nonparametric Statistics

Nonparametric Statistics

Comparing Statistical Tests

The Sign Test

The Mann-Whitney U Test

The Runs Test

Rank Correlation

Subspaces of Vector Spaces

Spanning Sets and Linear Independence

Basis and Dimension

Rank of a Matrix and Systems of Linear Equations

Coordinates and Change of Basis

Applications of Vector Spaces

Inner Product Spaces

Length and Dot Product in R"

Inner Product Spaces

Orthonormal Bases: Gram-Schmidt Process

Mathematical Models and Least Squares Analysis

Applications of Inner Product Spaces

Linear Transformations

Introduction to Linear Transformations

The Kernel and Range of a Matrices for Linear Transformations

Transition Matrices and Similarity

Applications of Linear Transformations

Eigenvalues and Eigenvectors

Eigenvalues and Eigenvectors

Diagonalization

Symmetric Matrices and Orthogonal Diagonalization

Applications of Eigenvalues and Eigenvectors

Complex Vector Spaces (Online)

Complex Numbers

Conjugates and Division of Complex Numbers

Polar Form and DeMoivre's Theorem

Complex Vector Spaces and Inner Products

Unitary and Hermitian Matricies

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