Statistics / Edition 2

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Editorial Reviews

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Presents an exposition of basic principles and assumptions of statistical practice, with some indication of applications. Significant attention is given to the misleading or incorrect use of statistics and to the issue of statistical interpretation. Updates from the 1996 edition appear to consist primarily of minor shifts in emphasis, honed explanations, and updated background data. Suitable for a one or two semester introductory course in statistics or probability and statistics, requiring only some knowledge of algebra. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780787257231
  • Publisher: Kendall/Hunt Publishing Company
  • Publication date: 1/28/2000
  • Edition description: REV
  • Edition number: 2
  • Pages: 608

Table of Contents

Preface to the Second Edition ix
Preface to the First Edition xi
Letter to the Student xv
What Is Statistics? xvi
Statistics: The Computation Dimension xvii
Part 1 The Nature, Collection, Organization, and Properties of Data 1
1 On Guard! 2
1.1 Lies, Damn Lies and Statistics 2
1.2 Are the Data Reliable? 2
1.3 Are the Data, Their Characteristics, and the Framework Generating Them Well-Chosen? 11
1.4 There's More to It Than the Statistics Say 14
1.5 What Do the Statistics Say? 16
1.6 The Thrust to Quantify 21
1.7 Where Do We Go from Here? 22
1.8 Suggestions for Further Reading 23
2 The Basic Raw Materials: Data 25
2.1 The Data Hunt 25
2.2 Survey of Sampling Methods 30
2.3 Random Sampling 35
2.4 Problems of Sampling 42
2.5 Polls, Surveys, and Questionnaires 43
3 Making Mountains of Data Managable 56
3.1 Frequency Distributions 56
3.2 Seeing Is Believing 69
3.3 Seeing Is Misleading 73
4 Descriptive Measures for Ungrouped Data 77
4.1 Notation 77
4.2 Accuracy 78
4.3 Measures of Location 79
4.4 Measures of Variation 87
5 Descriptive Measures for Grouped Data 93
5.1 Preface 93
5.2 Measures of Location 94
5.3 Measures of Variation 104
Part 2 Probability Background for Statistical Inference 111
6 Uncertainty and Probability 112
6.1 Set Notation and Language 112
6.2 Preface to Probability 115
6.3 The Finite Probability Model: Structure and Consequences 119
6.4 A Tale of Three Probability Models 123
6.5 Probability Models for Random Processes 124
6.6 Return to Equally Likely Outcome Models 126
6.7 Independent Events 135
6.8 Bernoulli Trial Probability Models 138
6.9 Interpretations of Probability 143
6.10 Probabilities and Odds 145
6.11 Conditional Probability and Bayes's Theorem 145
7 Random Variables 156
7.1 Random Variables, Expected Values, and Probability Distributions 156
7.2 Variance and Standard Deviation 162
7.3 Bernoulli Trial Random Variables 164
8 The Remarkable Normal Curves 166
8.1 The Family of Normal Curves 166
8.2 Normal Curve Estimates for Bernoulli Trial Probabilities 175
8.3 Normally Distributed Random Variables 180
8.4 Normally Distributed Populations 187
9 Sampling Distributions 193
9.1 Sampling Distributions of Sample Statistics 193
9.2 The Sampling Distribution of the Sample Mean 193
9.3 A Central Limit Theorem 198
Part 3 Introduction to Statistical Inference 203
10 Estimation 204
10.1 Estimation Problems 204
10.2 Estimation of Means: Large Sample Case 204
10.3 The Small Sample Case and the t Distributions 215
10.4 What Should Be Considered in Constructing Confidence Intervals? 223
10.5 Estimation of Proportions 227
10.6 The Central Limit Theorems 236
10.7 The Chi-Square Distributions 238
10.8 Estimation of Variance and Standard Deviation 240
10.9 Estimators and Their Properties 243
11 Hypothesis Testing 245
11.1 Trial by Statistics 245
11.2 A Case Study: Tests Concerning Means 248
11.3 Balancing Type I and Type II Errors 260
11.4 Power and Operating Characteristic Curves 265
11.5 Tests Concerning Proportions 268
11.6 Variance and Standard Deviation 271
11.7 Difference Between Means 275
11.8 Matched Pairs' Mean Difference 288
11.9 The Family of F Distributions 297
11.10 Equality of Variances and Standard Deviations 300
11.11 p-Values 306
11.12 Hypothesis Testing and Confidence Intervals 310
11.13 Robustness 313
11.14 Hypothesis Testing: A Decision Making Procedure? 314
Part 4 Linear Regression and Correlation 317
12 Linear Regression 318
12.1 Problems of Prediction 318
12.2 Scatter Diagrams 319
12.3 Fitting the "Best" Regression Line: The Method of Least Squares 325
12.4 Cautions 332
12.5 The Population Regression Line 334
13 Linear Correlation 340
13.1 The Coefficient of Determination 340
13.2 The Sample Correlation Coefficient 346
13.3 The Population Correlation Coefficient 354
13.4 A Hypothesis Test for [rho] 354
Part 5 Selected Topics 361
14 Index Numbers 362
14.1 The Nature of Index Numbers 362
14.2 Unweighted Index Numbers 364
14.3 Weighted Index Numbers 372
14.4 Some Important Indexes 381
14.5 Determining "Real" Dollar Amounts 382
14.6 Problems With Constructing Index Numbers 387
14.7 Limitations of Index Numbers 388
14.8 How Well Does the Consumer Price Index (CPI) Measure Inflation? 389
15 Time Series Analysis and Forecasting 391
15.1 Introduction 391
15.2 Components and Models of a Time Series 391
15.3 Moving Averages 396
15.4 Exponential Smoothing 402
15.5 Trend Determination by the Method of Least Squares 408
15.6 Measuring Seasonal Variation 413
15.7 Deseasonalizing Data 421
15.8 Determination of Cyclical Indexes 424
15.9 Forecasting from Time Series Data 427
16 Nonparametric Statistics 431
16.1 Parametric Versus Nonparametric Methods 431
16.2 A One-Sample Sign Test 432
16.3 A Paired-Sample Sign Test 438
16.4 Tests for Normality 444
16.5 Rank Correlation 450
16.6 Runs: A Test for Randomness 462
16.7 The Mann-Whitney U Test 467
16.8 Advantages and Disadvantages of Nonparametric Methods 476
17 Additional Tests of Hypotheses 477
17.1 Differences Between Proportions 477
17.2 Contingency Tables 485
17.3 Goodness of Fit 492
17.4 Introduction to Analysis of Variance 502
17.5 Blocking in ANOVA 519
Tables 531
Answers to Selected Exercises 539
Self-Tests 563
Self-Tests for Part One 563
Self-Tests for Part Two 567
Self-Tests for Part Three 571
Self-Tests for Part Four 576
Self-Tests for Parts One Through Four 580
Self-Tests for Chapter 14 589
Self-Tests for Chapter 15 593
Self-Tests for Chapter 16 596
Self-Tests for Chapter 17 600
Answers to Selected Self-Test Questions 605
Index 617
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