Statistics: A First Course / Edition 4

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Overview

The objective of Statistics is to provide a foundation in statistics. The book presents statistics at a level that is appropriate and interesting, reflected in its organization, the language used, its format and notation, and the examples used. Its high level of mathematical precision has been enhanced without complicating the presentation. Examples are found near related sections for enhanced correlation and cohesion, while review sections are designed to reinforce connections outside the context of a particular section or chapter. The book highlights important formulas, definitions, and rules in colored boxes for quick and easy reference. It also impresses upon the reader that statistical software will facilitate the techniques discussed within the book, and it is illustrated throughout with computer output. Finally, the book makes no attempt to avoid controversy, exposing readers to the weaknesses of statistical techniques along with strengths. The seventh edition of Statistics: A First Course has been revised to include substantial changes in content, organization, language, notation, and format, as well as a large number of new and revised exercises. This edition also introduces the graphing calculator, which can be used to supplement or, in many cases, substitute for a computer. An important resource for every professional who responsibilities encompass statistics.
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Editorial Reviews

Booknews
New edition of an introductory statistics text covering summarizing data, probability, problems of estimation, nonparametric tests, regression, and correlation. The text is illustrated with computer output from MINITAB. This edition features new sections on data types, data collection, Dot Diagrams, as well as reorganized coverage of estimation and hypothesis testing. Appends stats tables and tips for using a TI-83 calculator. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780138459758
  • Publisher: Prentice Hall Professional Technical Reference
  • Publication date: 10/28/1985
  • Edition description: 4th ed
  • Edition number: 4
  • Pages: 496
  • Age range: 16 - 17 Years

Table of Contents

(NOTE: Each chapter ends with Solutions to the Practice Exercises.)
1. Introduction.
Numerical Data and Categorical Data. Nominal, Ordinal, Interval, and Ratio Data. Sample Data and Populations. Biased Data. Statistics, Past and Present. The Study of Statistics. Statistics, What Lies Ahead.

2. Summarizing Data: Listing and Grouping.
Dot Diagrams. Stem-and-Leaf Displays. Frequency Distributions. Graphical Presentations.

3 Summarizing Data: Statistical Descriptions.
Measures of Location: The Mean. Measures of Location: The Weighted Mean. Measures of Location: The Median and Other Fractiles. Measures of Location: The Mode. Measures of Variation: The Range. Measures of Variation: The Standard Deviation. Some Applications of the Standard Deviation. The Description of Grouped Data. Some Further Descriptions. Technical Note Summations.

Review: Chapters 1,2, & 3.
4. Possibilities and Probabilities.
Counting. Permutations. Combinations. Probability. Mathematical Expectation. A Decision Problem.

5. Some Rules of Probability.
5.1 The Sample Space. Events. Some Basic Rules of Probability. Probabilities and Odds. Addition Rules. Conditional Probability. Independent Events. Multiplication Rules. Bayes' Theorem.

Review: Chapters 4 & 5.
6. Probability Distributions.
Probability Distributions. The Binomial Distribution. The Hypergeometric Distribution. The Poisson Distribution. The Multinomial Distribution. The Mean of a Probability Distribution. The Standard Deviation of a Probability Distribution. Chebyshev's Theorem.

7. The Normal Distribution.
Continuous Distributions. The Normal Distribution. Some Applications. The Normal Approximation to the Binomial Distribution.

8. Sampling and Sampling Distributions.
Random Sampling. Sampling Distributions. The Standard Error of the Mean. The Central Limit Theorem.

Review: Chapters 6, 7, & 8.
9. Problems of Estimation.
The Estimation of Means. Confidence Intervals for Means. Confidence Intervals for Means (Small Samples). Confidence Intervals for Standard Deviations. The Estimation of Proportions.

10. Tests Concerning Means.
10.1 Test of Hypotheses. Significance Tests. Tests Concerning Means. Tests Concerning Means (Small Samples). Differences Between Means. Differences Between Means (Small Samples). Differences Between Means (Paired Data). Differences Among k Means. Analysis of Variance.

11. Tests Based on Count Data.
Tests Concerning Proportions. Tests Concerning Proportions (Large Samples). Differences Between Proportions. Differences Among Proportions. Contingency Tables. Goodness of Fit.

Review: Chapters 9, 10, & 11.
12. Regression and Correlation.
Curve Fitting. The Method of Least Squares. Regression Analysis. The Coefficient of Correlation. The Interpretation of r. A Significance Test for r.

13. Nonparametric Tests.
The One-Sample Sign Test. The Paired-Sample Sign Test. The Sign Test (Large Samples). Rank Sums: The U Test. Rank Sums: The U Test (Large Samples). Rank Sums: The H Test. Tests of Randomness: Runs. Tests of Randomness: Runs (Large Samples). Tests of Randomness: Runs Above and Below the Median. Rank Correlation.

Review: Chapters 12 & 13.
Appendix A: TI-83 Tips.
Statistical Tables.
Answers to Odd-Numbered Exercises.
Index.

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