Statistics The Exploration & Analysis of Data

by Peck, Roxy; Devore, Jay L.

• ISBN13: 9780495390879
• ISBN10: 0495390879
• Edition: 6th
• Format: Hardcover
• Copyright: 2007-07-18
• Publisher: Duxbury Press

Summary

This book introduces you to the study of statistics and data analysis by using real data and attention-grabbing examples. The authors guide you through an intuition-based learning process that stresses interpretation and communication of statistical information. They help you grasp concepts and cement your comprehension by using simple notation-frequently substituting words for symbols.

Table of Contents

The Role of Statistics and the Data Analysis Process

Three Reasons to Study Statistics

The Nature and Role of Variability

Statistics and the Data Analysis Process

Types of Data and Some Simple Graphical Displays

Collecting Data Sensibly

Statistical Studies: Observation and Experimentation

Sampling

Simple Comparative Experiments

More Experimental Design

More on Observational Studies: Designing Surveys

Interpreting and Communicating the Results of Statistical Analyses

Graphical Methods for Describing Data

Displaying Categorical Data: Comparative Bar Charts and Pie Charts

Displaying Numerical Data: Stem-and-Leaf Displays

Displaying Numerical Data: Frequency Distributions and Histograms

Displaying Bivariate Numerical Data

Interpreting and Communicating the Results of Statistical Analyses

Numerical Methods for Describing Data

Describing the Center of a Data Set

Describing the Variability in a Data Set

Summarizing a Data Set: Boxplots

Interpreting Center and Variability: Chebyshev's Rule, the Empirical Rule, and z Scores

Interpreting and Communicating the Results of Statistical Analyses

Summarizing Bivariate Data

Correlation

Linear Regression: Fitting a Line to Bivariate Data

Assessing the Fit of a Line

Nonlinear Relationship and Transformations

Logistic Regression

Interpreting and Communicating the Results of Statistical Analyses

Probability

Interpreting Probabilities and Basic Probability Rules

Probability as a Basis for Making Decisions

Estimating Probabilities Empirically and by Using Simulation

Population Distributions

Describing the Distribution of Values in a Population

Population Models for Continuous Numerical Variables

Normal Distributions

Checking for Normality and Normalizing Transformations

Sampling Variability and Sampling Distributions

Statistics and Sampling Variability

The Sampling Distribution of a Sample Mean

The Sampling Distribution of a Sample Proportion

Estimation Using a Single Sample

Point Estimation

Large-Sample Confidence Interval for a Population Proportion

Confidence Interval for a Population Mean

Interpreting and Communicating the Results of Statistical Analyses

Hypotheses Testing Using a Single Sample

Hypotheses and Test Procedures

Errors in Hypothesis Testing

Large-Sample Hypothesis Tests for a Population Proportion

Hypothesis Test for a Population Mean

Power and Probability of Type II Error

Interpreting and Communicating the Results of Statistical Analyses

Comparing Two Populations or Treatments

Inferences Concerning the Difference Between Two Population or Treatment Means Using Independent Samples

Inferences Concerning the Difference Between Two Population or Treatment Means Using Paired Samples

Large Sample Inferences Concerning a Difference Between Two Population or Treatment Proportions

Interpreting and Communicating the Results of Statistical Analyses

The Analysis of Categorical Data and Doogness-of-Fit Tests

Chi-Square Tests for Univariate Data

Tests for Homogeneity and Independence in a Two-way Table

Interpreting and Communicating the Results of Statistical Analyses

Simple Linear Regression and Correlation Inferential Methods

Simple Linear Regression Model

Inferences About the Slope of the Population Regression Line

Checking Model Adequacy

Inferences Based on the Estimated Regression Line

Inferences About the Population Correlation Coefficient

Interpreting and Communicating the Results of Statistical Analyses

Multiple Regression Analysis

Multiple Regression Models

Fitting a Model and Assessing Its Utility

Inferences Based on an Estimated Model

Other Issues in Multiple Regression

Interpreting and C

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