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Preface
Chapter 1 The Nature of Statistics
Statistics Defined
The Population and the Sample
Selecting a Sample from a Population
Measurement Scales
Let's Add!
Exercises
Chapter 2 Analyzing Quantitative Data
2.1 Imposing Order
2.2 Tabular and Graphical Techniques: Ungrouped Data
2.3 Tabular and Graphical Techniques: Grouped Data
2.4 Exercises
Appendix 2.A Histograms With Classes of Different Lengths
Chapter 3 Descriptive Characteristics of Quantitative Data
3.1 The Search for Summary Characteristics
3.2 Arithmetic Mean
3.3 The Median
3.4 The Mode
3.5 The Range
3.6 The Standard Deviation
3.7 Relative Variation
3.8 Skewness
3.9 Quantiles (Quartiles, Deciles, and Percentiles)
3.10 Kurtosis
3.11 Detection of Outliers
3.12 So What Do We Do With All This Stuff?
3.13 Exercises
Appendix 3.A Descriptive Characteristics of Grouped Data
The Arithmetic Mean
The Median
The Mode
The Standard Deviation
Quantiles (Quartiles, Deciles, and Percentiles)
Chapter 4 Essentials of Probability
4.1 Set Notation
4.2 Events Within the Sample Space
4.3 Basic Probability Calculations
4.4 Sources of Probabilities
4.5 Exercises
Chapter 5 Discrete Probability Distributions and Their Properties
5.1 The Discrete Probability Distribution
5.2 The Mean, Variance, and Standard Deviation of a Discrete Random Variable
5.3 The Binomial Probability Distribution
A. Counting Issues
B. The Bernoulli Probability Distribution
C. The Binomial Probability Distribution
5.4 Exercises
Chapter 6 The Normal Distribution
6.1 The Continuous Probability Distribution
6.2 The Normal Distribution
6.3 Probability as an Area Under the Normal Curve
6.4 Percentiles of the Standard Normal Distribution and Percentiles of the Random Variable X
6.5 Exercises
Appendix 6.A The Normal Approximation to Binomial Probabilities
Chapter 7 Simple Random Sampling and the Sampling Distribution of the Mean
7.1 Simple Random Sampling
7.2 The Sampling Distribution of the Mean
7.3 Comments on the Sampling Distribution of the Mean
7.4 A Central Limit Theorem
7.5 Exercises
Appendix 7.A Using a Table of Random Numbers
Appendix 7.B Assessing Normality via the Normal Probability Plot
Appendix 7.C Randomness, Risk, and Uncertainty
Chapter 8 Confidence Interval Estimation of ?
8.1 The Error Bound on as an Estimator of ?
8.2 A Confidence Interval for the Population Mean—(å Known)
8.3 A Sample Size Requirements Formula
8.4 A Confidence Interval for the Population Mean—(å Unknown)
8.5 Exercises Appendix 8.A A Confidence Interval for the Population Median Chapter 9 The Sampling Distribution of a Proportion and its Confidence Interval Estimation. 9.1 The Sampling Distribution of a Proportion 9.2 The Error Bound onas an Estimator for p 9.3 A Confidence Interval for the Population Proportion (of Successes) p 9.4 A Sample Size Requirements Formula 9.5 Exercises Appendix 9.A Ratio Estimation Chapter 10 Testing Statistical Hypotheses 10.1 What is a Statistical Hypothesis 10.2 Errors in Testing 10.3 The Contextual Framework of Hypothesis Testing 10.4 Selecting a Test Statistic 10.5 The Classical Approach to Hypothesis Testing 10.6 Types of Hypothesis Tests 10.7 Hypothesis Tests for—(å Known) 10.8 Hypothesis Tests for—(å Unknown) 10.9 Reporting the Results of Statistical Hypothesis Tests 10.10 Hypothesis Tests for the Population Proportion (of Successes) p 10.11 Exercises
Appendix 10.A Assessing the Randomness of a Sample
Appendix 10.B Wilcoxon Signed Rank Test (of a Median)
Appendix 10.C Lilliefors? Goodness-of-Fit Test for Normality
Chapter 11 Comparing Two Population Means and Two Population Proportions
11.1 Confidence Intervals for the Difference of Means When Sampling from Two Independent Normal Populations
A. Sampling from Two Independent Normal Populations With Equal and Known Variances
B. Sampling from Two Independent Normal Populations With Unequal But Known Variances
C. Sampling from Two Independent Normal Populations With Equal But
Unknown Variances
D. Sampling from Two Independent Normal Populations With Unequal and Unknown Variances
11.2 Confidence Intervals for the Difference of Means When Sampling from Two Dependent Populations: Paired Comparisons
11.3 Confidence Intervals for the Difference of Proportions When Sampling from Two Independent Binomial Populations
11.4 Statistical Hypothesis Tests for the Difference of Means When Sampling from Two Independent Normal Populations
A. Population Variances Equal and Known
B. Population Variances Unequal But Known
C. Population Variances Equal and Unknown
D. Population Variances Unequal and Unknown (an Approximate Test)
11.5 Hypothesis Tests for the Difference of Means When Sampling from Two Dependent Populations: Paired Comparisons
11.6 Hypothesis Test for the Difference of Proportions When Sampling from Two Independent Binomial Populations
11.7 Exercises
Appendix 11.A A Runs Test for Two Independent Samples
Appendix 11.B Mann-Whitney (Rank Sum) Test for Two Independent Populations
Appendix 11.C Wilcoxon Signed Rank Test When Sampling from Two Dependent Populations: Paired Comparisons
Chapter 12 Bivariate Regression and Correlation
12.1 Introducing an Additional Dimension to Our Statistical Analysis
12.2 Linear Relationships
12.2.1 Exact Linear Relationships
12.2.2 A Statistical Equation
12.3 Estimating the Slope and Intercept of the Population Regression Line
12.4 Decomposition of the Sample Variation in Y 12.5 Mean, Variance, and Sampling distribution of the Least Squares Estimators and
12.6 Confidence Intervals for and
12.7 Testing Hypotheses About and
12.8 The Prediction of a Particular Valve of Y Given X
12.9 Correlation Analysis
12.9.1 Case A: X and Y Random Variables
12.9.1.a Estimating the Population Correlation Coefficient ?
12.9.1.b Inferences About the Population Correlation Coefficient ?
12.9.2 Case B: X Values Fixed, Y a Random Variable
12.10 Exercises
Appendix 12.A Assessing Normality via Regression: A continuation of Appendix 7.B
Appendix 12.B On Making Causal Inferences
Chapter 13 An Assortment of Additional Statistical Tests
13.1 Distributional Hypotheses
13.2 The Multinomial Chi-Square Statistic
13.3 The Chi-Square Distribution
13.4 Testing Goodness of Fit
13.5 Testing Independence
13.6 Testing k proportions
13.7 A Measure of Strength of Association in a Contingency Table
13.8 A Confidence Interval for Under Random Sampling From a Normal Population
13.9 The F Distribution
13.10 Applications of the F Statistic to Regression Analysis
13.10.1 Testing the Significance of the Regression Relationship Between X and Y
13.10.2 A Joint Test of the Regression Intercept and Slope
13.11 Exercises
Appendix A
Table A.1 Standard Normal Areas
Table A.2 Quantiles of the t Distribution
Table A.3 Quantiles of the Chi-Square Distribution
Table A.4 Quantiles of the F Distribution
Table A.5 Binomial Probabilities
Table A.6 Cumulative Distribution Function Values for the Binomial Distribution
Table A.7 Quantiles of Lilliefors? Test for Normality
Solutions to Exercises
References
Index
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