| Edition |
Fifth edition. |
| Description |
xix, 577 pages : illustrations ; 28 cm. |
| Series |
Schaum's outlines |
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Schaum's outline series.
|
| Contents |
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 -- |
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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 -- |
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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. |
| Note |
"508 fully solved problems,25 problem-solving videos online."--Cover. |
|
Includes index. |
| Contents |
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. |
| Summary |
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. |
| Subject |
Mathematical statistics -- Outlines, syllabi, etc.
|
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Mathematical statistics -- Problems, exercises, etc.
|
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Statistics -- Problems, exercises, etc.
|
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Mathematical statistics -- Study guides.
|
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Statistics -- Study guides.
|
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Mathematics -- Study guides.
|
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Méthodes statistiques.
|
| Genre/Form |
Outlines, syllabi, etc. (OCoLC)fst01423836
|
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Problems, exercises, etc. (OCoLC)fst01423783
|
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Study guides. (OCoLC)fst01423888
|
| Subject |
Mathematical statistics. (OCoLC)fst01012127
|
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Mathematics. (OCoLC)fst01012163
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Statistics. (OCoLC)fst01132103
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| Added Author |
Stephens, Larry J.
|
| Added Title |
Schaum's outlines. Statistics |
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Schaum's outline of theory and problems of statistics.
|
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Outline of theory and problems of statistics.
|
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Theory and problems of statistics.
|
| ISBN |
0071822526 (paperback) |
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9780071822527 (paperback) |
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9780071822770 (basic e-book) |
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0071822771 (basic e-book) |
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9780071822787 (enhanced e-book) |
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007182278X (enhanced e-book) |
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