Introduction to Statistics and Data Analysis (with CD-ROM)

by Peck, Roxy; Olsen, Chris; Devore, Jay L.

• ISBN13: 9780534370923
• ISBN10: 0534370926
• Edition: CD
• Format: Hardcover
• Copyright: 2000-07-26
• Publisher: Duxbury Press

Summary

Chris Olsen has teamed up with Roxy Peck and Jay Devore to create INTRODUCTION TO STATISTICS AND DATA ANALYSIS. Based on STATISTICS: THE EXPLORATION OF ANALYSIS AND DATA, Fourth Edition, this new book integrates the graphing calculator and includes expanded coverage of probability. This innovative book focuses on the analysis of real data to motivate the study of statistics. Traditional in structure yet modern in approach, this book places an increased emphasis on data collection and exploratory analysis.

Table of Contents

The Role of Statistics	1	(10)
Three Reasons to Study Statistics	1	(3)
Statistics and Data Analysis	4	(3)
The Nature and Role of Variability	7	(4)
The Data Analysis Process and Collecting Data Sensibly	11	(34)
Types of Data	11	(4)
The Data Analysis Process	15	(2)
Collecting Data Sensibly: Observation and Experimentation	17	(3)
Sampling	20	(7)
Simple Comparative Experiments	27	(18)
Graphing Calculator Explorations	40	(5)
Graphical Methods for Describing Data	45	(56)
Displaying Categorical Data: Frequency Distributions, Bar Charts, and Pie Charts	46	(10)
Displaying Numerical Data: Dotplots and Stem-and-Leaf Displays	56	(8)
Displaying Numerical Data: Frequency Distributions and Histograms	64	(20)
Interpreting the Results of Statistical Analyses	84	(17)
Graphing Calculator Explorations	91	(10)
Numerical Methods for Describing Data	101	(44)
Describing the Center of a Data Set	102	(10)
Describing Variability in a Data Set	112	(9)
Summarizing a Data Set: Boxplots	121	(5)
Interpreting Center and Variability: Chebyshev's Rule, the Empirical Rule, and z Scores	126	(9)
Interpreting the Results of Statistical Analyses	135	(10)
Graphing Calculator Explorations	140	(5)
Summarizing Bivariate Data	145	(80)
Scatter Plots	146	(6)
Correlation	152	(14)
Fitting a Line to Bivariate Data	166	(10)
Assessing the Fit of a Line	176	(15)
Nonlinear Relationships and Transformations	191	(17)
Interpreting the Results of Statistical Analyses	208	(17)
Graphing Calculator Explorations	213	(12)
Probability	225	(80)
Chance Experiments and Events	225	(10)
The Definition of Probability	235	(8)
Basic Properties of Probability	243	(8)
Conditional Probability	251	(9)
Independence	260	(10)
Some General Probability Rules	270	(12)
Estimating Probabilities Empirically and Using Simulation	282	(23)
Graphing Calculator Explorations	297	(8)
Random Variables and Probability Distributions	305	(96)
Random Variables	306	(3)
Probability Distributions for Discrete Random Variables	309	(7)
Probability Distributions for Continuous Random Variables	316	(5)
The Mean and Standard Deviation of a Random Variable	321	(14)
The Binomial and Geometric Distributions	335	(11)
The Normal Distribution	346	(19)
Checking for Normality and Normalizing Transformations	365	(12)
Using the Normal Distribution to Approximate a Discrete Distribution (Optional)	377	(24)
Graphing Calculator Explorations	386	(15)
Sampling Variability and Sampling Distributions	401	(34)
Statistics and Sampling Variability	402	(9)
The Sampling Distribution of a Sample Mean	411	(11)
The Sampling Distribution of a Sample Proportion	422	(13)
Graphing Calculator Explorations	429	(6)
Estimation Using a Single Sample	435	(42)
Point Estimation	436	(7)
A Large-Sample Confidence Interval for a Population Proportion	443	(12)
A Confidence Interval for a Population Mean	455	(14)
Interpreting the Results of Statistical Analyses	469	(8)
Graphing Calculator Explorations	474	(3)
Hypothesis Testing Using a Single Sample	477	(58)
Hypotheses and Test Procedures	478	(4)
Errors in Hypothesis Testing	482	(6)
Large-Sample Hypothesis Tests for a Population Proportion	488	(14)
Hypothesis Tests for a Population Mean	502	(14)
Power and Probability of Type II Error	516	(10)
Interpreting the Results of Statistical Analyses	526	(9)
Graphing Calculator Explorations	530	(5)
Comparing Two Populations or Treatments	535	(64)
Inferences Concerning the Difference Between Two Population or Treatment Means Using Independent Samples	535	(20)
Inferences Concerning the Difference Between Two Population or Treatment Means Using Paired Samples	555	(11)
Large-Sample Inferences Concerning a Difference Between Two Population or Treatment Proportions	566	(9)
Distribution-Free Procedures for Inferences Concerning a Difference Between Two Population or Treatment Means Using Independent Samples (Optional)	575	(9)
Interpreting the Results of Statistical Analyses	584	(15)
Graphing Calculator Explorations	592	(7)
The Analysis of Categorical Data and Goodness-of-Fit Tests	599	(38)
Chi-Squared Tests for Univariate Categorical Data	599	(11)
Tests for Homogeneity and Independence in a Two-Way Table	610	(17)
Interpreting the Results of Statistical Analyses	627	(10)
Graphing Calculator Explorations	631	(6)
Simple Linear Regression and Correlation: Inferential Methods	637	(58)
The Simple Linear Regression Model	637	(13)
Inferences Concerning the Slope of the Population Regression Line	650	(11)
Checking Model Adequacy	661	(12)
Inferences Based on the Estimated Regression Line (Optional)	673	(8)
Inferences About the Population Correlation Coefficient (Optional)	681	(4)
Interpreting the Results of Statistical Analyses	685	(10)
Graphing Calculator Exploration	692	(3)
Multiple Regression Analysis	695	(58)
Multiple Regression Models	696	(11)
Fitting a Model and Assessing Its Utility	707	(16)
Inferences Based on an Estimated Model	723	(12)
Other Issues in Multiple Regression	735	(18)
The Analysis of Variance	753	(54)
Single-Factor ANOVA and the F Test	754	(14)
Multiple Comparisons	768	(8)
The F Test for a Randomized Block Experiment	776	(9)
Two-Factor ANOVA	785	(12)
Interpreting the Results of Statistical Analyses	797	(10)
Appendix: ANOVA Computations	800	(5)
Graphing Calculator Exploration	805	(2)
Appendix: Statistical Tables	807	(22)
Table I Random Numbers	808	(2)
Table II Standard Normal Probabilities (Cumulative z Curve Areas)	810	(2)
Table III t Critical Values	812	(1)
Table IV Tail Areas for t Curves	813	(3)
Table V Curves of β = P(Type II Error) for t Tests	816	(1)
Table VI P-value Information for the Rank-Sum Test	817	(1)
Table VII Values That Capture Specified Upper-Tail F Curve Areas	818	(4)
Table VIII Critical Values q for the Studentized Range Distribution	822	(1)
Table IX Upper-Tail Areas for Chi-Squared Distributions	823	(2)
Table X Binomial Probabilities	825	(4)
Answers to Selected Odd-Numbered Exercises	829	(14)
Index	843