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Elementary statistics : a brief version

Author: Allan G Bluman
Publisher: Boston : McGraw-Hill Higher Education, 2006.
Edition/Format:   Print book : English : 3rd edView all editions and formats
Database:WorldCat
Summary:

Useful for general beginning statistics courses with a basic algebra prerequisite, this book uses a non-theoretical approach, explaining concepts and teaching problem solving through worked examples.

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Genre/Form: Textbooks
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Allan G Bluman
ISBN: 0072976217 9780072976212 0072976276 9780072976274 0073107654 9780073107653 0071101896 9780071101899
OCLC Number: 56367325
Notes: LC copy imperfect: MathZone (1 CD-ROM) wanting.
Includes index.
Description: xxvii, 659 pages : color illustrations ; 26 cm + important formulas ([8] pages)
Contents: Preface --
1. The nature of probability and statistics --
1-1. Introduction --
1-2. Descriptive and inferential statistics --
1-3. Variables and types of data --
1-4. Data collection and sampling techniques --
Random sampling --
Systematic sampling --
Stratified sampling --
Cluster sampling --
Other sampling methods --
1-5. Observational and experimental studies --
1-6. Uses and misuses of statistics --
Suspect samples --
Ambiguous averages --
Changing the subject --
Detached statistics --
Implied connections --
Misleading graphs --
Faulty survey questions --
1-7. Computers and calculators --
1-8. Summary --
2. Frequency distributions and graphs --
2-1. Introduction --
2-2. Organizing data --
Categorical frequency distributions --
Grouped frequency distributions --
2-3. Histograms, frequency polygons, and ogives --
The histogram --
The frequency polygon --
The ogive --
Relative frequency graphs --
Distribution shapes --
2-4. Other types of graphs --
Pareto charts --
The time series graph --
The pie graph --
Misleading graphs --
Stem and leaf plots --
2-5. Paired data and scatter plots --
Analyzing the scatter plot --
2-6. Summary --
3. Data description --
3-1. Introduction --
3-2. Measures of central tendency --
The mean --
The median --
The mode --
The midrange --
The weighted mean --
Distribution shapes --
3-3. Measures of variation --
Range --
Population variance and standard deviation --
Sample variance and standard deviation --
Variance and standard deviation for grouped data --
Coefficient of variation --
Chebyshev's theorem --
The empirical (normal) rule --
3-4. Measures of position --
Standard scores --
Percentiles --
Quartiles and deciles --
Outliers --
3-5. Exploratory data analysis --
The five-number summary and boxplots --
3-6. Summary. 4. Probability and counting rules --
4-1. Introduction --
4-2. Sample spaces and probability --
Basic concepts --
Classical probability --
Complementary events --
Empirical probability --
Law of large numbers --
Subjective probability --
Probability and risk taking --
4-3. The addition rules for probability --
4-4. The multiplication rules and conditional probability --
The multiplication rules --
Conditional probability --
Probabilities for "at least" --
4-5. Counting rules --
The fundamental counting rule --
Factorial notation --
Permutations --
Combinations --
4-6. Probability and counting rules --
4-7. Summary --
5. Discrete probability distributions --
5-1. Introduction --
5-2. Probability distributions --
5-3. Mean, variance, standard deviation, and expectation --
Mean --
Variance and standard deviation --
Expectation --
5-4. The binomial distribution --
5-5. Summary --
6. The normal distribution --
6-1. Introduction --
6-2. Properties of the normal distribution --
6-3. The standard normal distribution --
Finding areas under the standard normal distribution curve --
The normal distribution curve as a probability distribution curve --
6-4. Applications of the normal distribution --
Finding data values given specific probabilities --
Determining normality --
6-5. The central limit theorem --
Distribution of sample means --
Finite population correction factor (optional) --
6-6. The normal approximation to the binomial distribution --
6-7. Summary --
7. Confidence intervals and sample size --
7-1. Introduction --
7-2. Confidence intervals for the mean ([population standard deviation] known or n>̲ 30) and sample size --
Confidence intervals --
Sample size --
7-3. Confidence intervals for the mean ([population standard deviation] unknown and n <30) --
7-4. Confidence intervals and sample size for proportions --
Confidence intervals --
Sample size for proportions --
7-5. Confidence intervals for variances and standard deviations --
7-6. Summary. 8. Hypothesis testing --
8-1. Introduction --
8-2. Steps in hypothesis testing--traditional method --
8-3. z test for a mean --
p-value method for hypothesis testing --
8-4. t test for a mean --
8-5. z test for a proportion --
8-6. x² test for a variance or standard deviation --
8-7. Confidence intervals and hypothesis testing --
8-8. Summary --
9. Testing the difference between two means, two variances, and two proportions --
9-1. Introduction --
9-2. Testing the difference between two means : large samples --
9-3. Testing the difference between two variances --
9-4. Testing the difference between two means : small independent samples --
9-5. Testing the difference between two means : small dependent samples --
9-6. Testing the difference between proportions --
9-7. Summary --
Hypothesis-testing summary 1 --
10. Correlation and regression --
10-1. Introduction --
10-2. Correlation --
Correlation coefficient --
Correlation and causation --
The significance of the correlation coefficient --
10-3. Regression --
Line of best fit --
Determination of the regression line equation --
10-4. Coefficient of determination and standard error of the estimate --
Types of variation for the regression model --
Coefficient of determination --
Standard error of estimate --
Prediction interval --
10-5. Summary --
11. Chi-square and analysis of variance (ANOVA) --
11-1. Introduction --
11-2. Test for goodness of fit --
Test of normality (optional) --
11-3. Tests using contingency tables --
Test for independence --
Test for homogeneity of proportions --
11-4. Analysis of variance (ANOVA) --
11-5. Summary --
Hypothesis-testing summary 2 --
Appendix A. Algebra review --
Appendix B-1. Writing the research report --
Appendix B-2. Alternate approach to the standard normal distribution --
Appendix C. Tables --
Appendix D. Data bank --
Appendix E. Glossary --
Appendix F. Bibliography --
Appendix G. Photo credits --
Appendix H. Selected answers --
Index --
Instructor's section. Instructor's edition only.
Responsibility: Allan G. Bluman.
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