Statistics /
With 508 solved problems, this book includes: information on frequency distribution, elementary probability theory, elementary sampling theory, statistical decision theory, and analysis of variance; and concise explanation of all course concepts.--
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| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
New York :
McGraw-Hill,
2014
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| Edition: | 5th ed |
| Series: | Schaum's outline series.
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| Subjects: | |
| Online Access: | Contributor biographical information Publisher description |
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| 082 | 0 | 4 | |a 519.5 |2 22 |
| 100 | 1 | |a Spiegel, Murray R. |9 1016 | |
| 245 | 1 | 0 | |a Statistics / |c Murray R. Spiegel, Larry J. Stephens. |
| 246 | 3 | |a Schaum's outlines. Statistics | |
| 250 | |a 5th ed | ||
| 260 | |a New York : |b McGraw-Hill, |c 2014 | ||
| 300 | |a xix, 577 p . : |b ill ; |c 28 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Schaum's outlines | |
| 500 | |a "508 fully solved problems,25 problem-solving videos online."--Cover. | ||
| 500 | |a Includes index. | ||
| 505 | 0 | |a 1. Variables and graphs -- Statistics -- Population and sample -- Inductive and descriptive statistics -- Variables : discrete and continuous -- Rounding of data -- Scientific notation -- Significant figures -- Computations -- Functions -- Rectangular coordinates -- Graphs -- Equations -- Inequalities -- Logarithms -- Properties of logarithms -- Logarithmic equations -- 2. Frequency distributions -- Raw data -- Arrays -- Class intervals and class limits -- Class boundaries -- The size, or width, of a class interval -- The class mark -- General rules for forming frequency distributions -- Histograms and frequency polygons -- Relative-frequency distributions -- Cumulative-frequency distributions and ogives -- Relative cumulative-frequency distributions and percentage ogives -- Frequency curves and smoothed ogives -- Types of frequency curves -- 3. The mean, median, mode, and other measures of central tendency -- Index, or subscript, notation -- Summation notation -- Averages, or measures of central tendency -- The arithmetic mean -- The median -- The mode -- The empirical relation between the mean, median, and mode -- The geometric mean G -- The harmonic mean H -- The relation between the arithmetic, geometric, and harmonic means -- The root mean square -- Quartiles, deciles, and percentiles -- Software and measure of central tendency -- 4. The standard deviation and other measures of dispersion -- Dispersion and variation -- The range -- the mean deviation -- The semi-interquartile range -- The 10-90 percentile range -- The standard deviation -- The variance -- Short methods for computing the standard deviation -- Empirical relations between measures of dispersion -- Absolute and relative dispersion -- Coefficient of variation -- Standardized variable -- Standard scores -- Software and measures of dispersion -- 5. Moments, skewness, and kurtosis -- Moments for grouped data -- Relations between moments -- Computation of moments for grouped data -- Charlier's check and Sheppard's corrections -- Moments in dimensionless form -- Population moments, skewness, and kurtosis -- Software computation of skewness and kurtosis -- 6. Elementary probability theory -- Conditional probability -- Independent and dependent events -- Mutually exclusive events -- Probability distributions -- Mathematical expectation -- Relation between population, sample mean, and variance -- Combinatorial analysis -- Stirling's approximation to n! -- Relation of probability to point set theory -- Euler or Venn diagrams and probability -- | |
| 505 | 0 | |a 7. The binomial, normal, and poisson distributions -- Relation between the binomial and normal distributions -- Relations between the binomial and poisson distributions -- The multinomial distribution -- Fitting theoretical distributions to sample frequency distributions -- 8. Elementary sampling theory -- Random samples and random numbers -- Sampling with and without replacement -- Sampling distributions -- Sampling distribution of means -- Sampling distribution of proportions -- Sampling distributions of differences and sums -- Standard errors -- Software demonstration of elementary sampling theory -- 9. Statistical estimation theory -- Estimation of parameters -- Unbiased estimates -- Efficient estimates -- Point estimates and interval estimates -- Reliability -- Confidence-interval estimates of population parameters -- Probable error -- 10. Statistical decision theory -- Statistical hypotheses -- Tests of hypotheses and significance, or decision rules -- Errors -- Level of significance -- Tests involving normal distributions -- Operating-characteristic curves -- Control charts -- Tests involving sample differences -- Test involving binomial distributions -- 11. Small sampling theory -- Student's t distribution -- Confidence intervals -- tests of hypotheses and significance -- The chi-square distribution -- Degrees of freedom -- The F distribution -- 12. The chi-square test -- Observed and theoretical frequencies -- Significance tests -- The chi-square test for goodness of fit -- Contingency tables -- Yates' correction for continuity -- Coefficient of contingency -- Correlation of attributes -- | |
| 505 | 0 | |a 13. Curve fitting and the method of least squares -- Relationship between variables -- Curve fitting -- Equations of approximating curves -- Freehand method of curve fitting -- the straight line -- The method of least squares -- The least-squares line -- Nonlinear relationships -- The least-squares parabola -- Regression -- Applications to time series -- Problems involving more than two variables -- 14. Correlation theory -- Correlation and regression -- Linear correlation -- Measures of correlation -- The least-squares regression lines -- Standard error of estimate -- Explained and unexplained variation -- Coefficient of correlation -- Product-moment formula for the linear -- Short computational formulas -- Regression lines and the linear correlation coefficient -- Correlation of time series -- Correlation of attributes -- Sampling theory of correlation -- Sampling theory of regression -- 15. Multiple and partial correlation -- Subscript notation -- Regression equations and regression planes -- Normal equations for the least-squares regression plane -- Regression planes and correlation coefficients -- Standard error of estimate -- Coefficient of multiple correlation -- change of dependent variable -- More than three variables -- Partial correlation -- Relationships between multiple and partial correlation -- Coefficients -- Nonlinear multiple regression -- 16. Analysis of variance -- One-way classification, or one-factor experiments -- Total variation, variation within treatments, and variation between treatments -- Shortcut methods for obtaining variations -- Mathematical model for analysis of variance -- Expected values of the variations -- Distributions of the variations -- The F test for the null hypothesis off equal means -- Analysis-of-variance tables -- Modifications for unequal numbers of observations -- Two-way classification, or two-factor experiments -- Notation for two-factor experiments -- Variations for two-factor experiments -- Two-factor experiments with replication -- Experimental design -- 17. Nonparametric tests -- The sign test -- The Mann-Whitney U test -- The Kruskal-Wallis H test -- The H test corrected for ties -- The Runs test for randomness -- Spearman's rank correlations -- 18. Statistical process control and process capability -- Variables and attributes control charts -- X-bar and R charts -- Tests for special causes -- Process capability -- P- and NP-charts. | |
| 505 | 0 | |a Variables and graphs -- Frequency distributions -- The mean, median, mode, and other measures of central tendency -- The standard deviation and other measures of dispersion -- Moments, skewness, and kurtosis -- Elementary probability theory -- The binomial, normal, and Poisson distributions -- Elementary sampling theory -- Statistical estimation theory -- Statistical decision theory -- Small sampling theory -- The chi-square test -- Curve fitting and the method of least squares -- Correlation theory -- Multiple and partial correlation -- Analysis of variance -- Nonparametric tests -- Statistical process control and process capability -- Answers to supplementary problems -- Appendixes. | |
| 520 | |a With 508 solved problems, this book includes: information on frequency distribution, elementary probability theory, elementary sampling theory, statistical decision theory, and analysis of variance; and concise explanation of all course concepts.-- |c Source other than Library of Congress. | ||
| 650 | 0 | |a Mathematical statistics |v Outlines, syllabi, etc. |9 1017 | |
| 650 | 0 | |a Mathematical statistics |v Problems, exercises, etc. |9 1018 | |
| 650 | 0 | |a Statistics |v Problems, exercises, etc. |9 1019 | |
| 650 | 7 | |a Méthodes statistiques. |2 eclas |9 1020 | |
| 650 | 7 | |a Mathematical statistics. |2 fast |0 (OCoLC)fst01012127 |9 346 | |
| 650 | 7 | |a Statistics. |2 fast |0 (OCoLC)fst01132103 |9 1021 | |
| 655 | 7 | |a Outlines, syllabi, etc. |2 fast |0 (OCoLC)fst01423836 |9 1022 | |
| 655 | 7 | |a Problems, exercises, etc. |2 fast |0 (OCoLC)fst01423783 |9 1023 | |
| 700 | 1 | |a Stephens, Larry J. |9 1024 | |
| 740 | 0 | |a Schaum's outline of theory and problems of statistics. | |
| 740 | 0 | |a Outline of theory and problems of statistics. | |
| 740 | 0 | |a Theory and problems of statistics. | |
| 830 | 0 | |a Schaum's outline series. |9 1025 | |
| 856 | 4 | 2 | |3 Contributor biographical information |u http://catdir.loc.gov/catdir/enhancements/fy1317/2013948156-b.html |
| 856 | 4 | 2 | |3 Publisher description |u http://catdir.loc.gov/catdir/enhancements/fy1317/2013948156-d.html |
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