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Cover image for Statistics
Title:
Statistics
Personal Author:
Edition:
6th ed.
Publication Information:
New York : MacMillan, 1994
Physical Description:
1v + 1 disk (DSK 918)
ISBN:
9780023792113
Subject Term:
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30000003515818 QA276.12 M43 1994 Open Access Book Book
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Table of Contents

1 Statistics, Data, and Statistical Thinking
The Science of Statistics
Types of Statistical Applications
Fundamental Elements of Statistics
Types of Data
Collecting Data
The Role of Statistics in Critical Thinking
2 Methods for Describing Sets of Data
Describing Qualitative Data
Graphical Methods for Describing Quantitative Data
Summation Notation
Numerical Measures of Central Tendency
Numerical Measures of Variability
Interpreting the Standard Deviation
Numerical Measures of Relative Standing
Methods for Detecting Outliers (Optional)
Graphing Bivariate Relationships (Optional)
Distorting the Truth with Descriptive Techniques
3 Probability
Events, Sample Spaces, and Probability
Unions and Intersections
Complementary Events
The Additive Rule and Mutually Exclusive Events
Conditional Probability
The Multiplicative Rule and Independent Events
Random Sampling
Some Counting Rules (Optional)
4 Discrete Random Variables
Two Types of Random Variables
Probability Distributions for Discrete Random Variables
Expected Values of Discrete Random Variables
The Binomial Random Variable
The Poisson Random Variable (Optional)
The Hypergeometric Random Variable (Optional)
5 Continuous Random Variables
Continuous Probability Distributions
The Uniform Distribution
The Normal Distribution
Descriptive Methods for Assessing Normality
Approximating a Binomial Distribution with a Normal Distribution (Optional)
The Exponential Distribution (Optional)
6 Sampling Distributions
What Is a Sampling Distribution? Properties of Sampling Distributions
Unbiasedness and Minimum Variance (Optional)
The Central Limit Theorem
7 Inferences Based on a Single Sample: Estimation with Confidence Intervals
Large-Sample Confidence Interval for a Population Mean
Small-Sample Confidence Interval for a Population Mean
Large-Sample Confidence Interval for a Population Proportion
Determining the Sample Size
8 Inferences Based on a Single Sample: Tests of Hypotheses
The Elements of a Test of Hypothesis
Large-Sample Test of Hypothesis about a Population Mean
Observed Significance Levels: p-Values
Small-Sample Test of Hypothesis about a Population Mean
Large-Sample Test of Hypothesis about a Population Proportion
Calculating Type II Error Probabilities: More about hellip;b (Optional)
Test of Hypothesis about a Population Proportion
9 Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses
Comparing Two Population Means: Independent Sampling
Comparing Two Population Means: Paired Difference Experiments
Comparing Two Population Proportions: Independent Sampling
Determining the Sample Size
Comparing Two Population Variances: Independent Sampling (Optional)
10 Analysis of Variance: Comparing More Than Two Means
Elements of a Designed Experiment
The Completely Randomized Design
Multiple Comparisons of Means
The Randomized Block Design
Factorial Experiments
11 Simple Linear Regression
Probabalistic Models
Fitting the Model: The Least Squares Approach
Model Assumptions
An Estimator of hellip;s2
Assessing the Utility of the Model: Making Inferences about the Slope hellip;b1
The Coefficient of Correlation
The Coefficient of Determination
Using the Model for Estimation and Prediction
A Complete Example
12 Multiple Regression and Model Building
Multiple Regression Models
The First-Order Model: Estimating and Interpreting the hellip;b Parameters
Model Assumptions
Inferences About the Individual hellip;b Parameters
Checking the Overall Utility of a Model
Using the Model for Estimation and Prediction
Model Building: Interaction Models
Model Building: Quadratic and Other Higher-Order Models
Model Building: Qualitative (Dummy) Variable Models
Model Building: Models with Both Quantitative and Qualitative Variables
Model Building: Comparing Nested Models
Model Building: Stepwise Regression
Residual Analysis: Checking the Regression Assumptions
Some Pitfalls: Estimability, Multicollinearity, and Extrapolation
13 Categorical Data Analysis
Categorical Data and the Multinomial Distribution
Testing Categorical Probabilities: One-Way Table
Testing Categorical Probabilities: Two-Way (Contingency) Table
A Word of Caution about Chi-Square Tests
14 Nonparametric Statistics
Introduction: Distribution-Free Tests
Single Population Inferences: The Sign Test
Comparing Two Populations: The Wilcoxon Rank Sum Test for Independent Samples
Comparing Two Populations: The Wilcoxon Signed Rank Test for the Paired Difference Experiment
The Kruskal-Wallis H-Test for a Completely Randomized Design
The Friedman F r -Test for a Randomized Block Design
Spearman''s Rank Correlation Coefficient
Appendix A Tables Random Numbers
Binomial Probabilities
Poisson Probabilities
Normal Curve Areas
Exponentials
Critical Values of t
Critical Values of hellip;c2
Percentage Points of the F Distribution, hellip;a= .10
Percentage Points of the F Distribution, hellip;a=.05
Percentage Points of the F Distribution, hellip;a=.025
Percentage Points of the F Distribution, hellip;a=.01
Critical Values of T L and T U for the Wilcoxon Rank Sum Test: Independent Samples
Critical Values of T O in the Wilcoxon Paired Difference Signed Rank Test
Critical Values of Spearman''s Rank Correlation Coefficient
Appendix B Data Sets
Coronary Artery Patients'' Blood Loss Data
Car & Driver Data
Starting Salaries of USF Graduates
Sealed Milk Bids Data
Federal Trade Commission Rankings of Domestic Cigarette Brands
Appendix C Calculation Formulas for Analysis of Variance
Short Answers to Selected Odd-Numbered Exercises
Index
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