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Spiegel M.R., Stephens L.J. — Schaum's outline of theory and problems of statistics
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Название: Schaum's outline of theory and problems of statisticsАвторы: Spiegel M.R., Stephens L.J. Аннотация: This Schaum's Study Guide is the perfect tool for getting a handle on statistics. Fully stocked with solved problems 508 of them it shows you how to work problems that may not have been fully explained in class. Plus you get 694 additional problems to use for practice, with answers at the back of the book. Ideal for independent study, brushup before exams, or preparation for professional tests, this Schaum's guide is clear, complete, and well-organized. It even prepares you for computer solutions of statistical problems, fully explaining the use of Minitab, the most popular statistical software. It's the perfect supplement for any course in statistics, and a super helper for the math-challenged.
Язык: Рубрика: Математика /Вероятность /Статистика и приложения /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: third editionГод издания: 1998Количество страниц: 538Добавлена в каталог: 10.06.2005Операции: Положить на полку |
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Предметный указатель
Function, frequency 129 Function, linear 15 16 282 Function, multiple-valued 4 13 14 Function, probability 129 Function, single-valued 4 13 Geometric curve 282 Geometric mean 59 62 76—78 Geometric mean, from grouped data 62 77 Geometric mean, relation to arithmetic and harmonic mean 63 Geometric mean, suitability for averaging ratios 77 78 Geometric mean, weighted 77 Gompertz curve 282 Goodness of fit test 158 (see also “Fitting of data”) Gossett 243 Graeco-latin squares 372 390—393 Grand mean 363 367 Graph 5 15—22 Graph paper, log-log 283 305 Graph paper, probability 158 175 Graph paper, semilog 283 Graph, bar charts 18—21 Graph, line 16—18 20 22 Graph, pie 5 21 22 Graph, rod 52 Group mean 363 Grouped data 37 Grouping error 38 48 49 H statistic 404 405 Harmonic mean 59 62 78—80 Harmonic mean, relation to arithmetic and geometric means 63 78 Harmonic mean, weighted 79 Histograms 38 42—49 Histograms, computing medians for 61 73 74 Histograms, percentage or relative frequency 38 39 46—48 Histograms, probability 138 Homogeneity of variance test 251—252 Hyperbola 282 Hyperplane 348 Hypotheses 216—217 Hypotheses, alternative 216 Hypotheses, null 216 Hypotheses, tests of 181 217 Identity 5 Independent events 128 Independent variable 4 13 14 Individuals chart 479 485 493 Inductive statistics 1 Inefficient estimates and estimators 202 205 206 Inequalities 5 6 Inequality symbols 5 Inspection unit 479 Interaction 370 371 Interaction plot 387 Intercepts 283 289—291 Interest, compound 78 Interpolation 7 26 287 Interquartile range 90 Interquartile range, semi- 90 96 110 Intersection of sets 133 Interval estimates 202 Irregular variations 435 438 439 456—462 J-shaped frequency curves 50 Kruskal — Wallis H test 404 405 kurtosis 116 117 123 124 Kurtosis, moment coefficient of 117 123 124 Kurtosis, of binomial distribution 156 Kurtosis, of normal distribution 117 Kurtosis, of Poisson distribution 157 Kurtosis, percentile coefficient of 117 123 124 Latin squares 372 388—390 Latin squares, orthogonal 372 Least squares, curve 283 Least squares, line 283 284 292—303 Least squares, parabola 285 304—307 Least squares, plane 286 Leptokurtic 117 level of significance 217 Line graph 17 18 Linear function 15 Log-log graph paper 283 Logarithms 6 7 25—28 Logarithms, base of 6 7 Logarithms, characteristic of 6 25 Logarithms, common 6 25 Logarithms, computations using 7 Logarithms, interpolation in 7 26 Logarithms, mantissa of 6 7 25 26 Logarithms, natural 35 Logistic curve 282 Long-term movements 435 Lower capability index 475 Lower control limit 470 Lower specification limit 474 Main effects plot 387 Mann — Whitney U test 403 406 410—418 Mantissa 6 7 25 26 Marginal frequencies 262 329 Mean deviation 89 90 95—96 Mean deviation, for grouped data 90 95 Mean deviation, of normal distribution 157 Measurements 2 measures of central tendency 58—88 Median 61 62 72—75 Median chart 479 Median, computed from histogram or percentage ogive 61 72—74 Median, effect of extreme values on 73 Median, for grouped data 61 72—75 Median, relation to arithmetic mean and mode 61 62 Mesokurtic 116 Modal class 42 61 62 MODE 59 61 Mode, for grouped data 61 75 76 Mode, formula for 61 Mode, relation to arithmetic mean and median 61 62 Model or theoretical distribution 158 Moment coefficient of kurtosis 116 117 Moment coefficient of skewness 116 Moments 114—124 Moments, Charlier's check for computing 115 121 122 Moments, coding method for computing 115 119 120 121 Moments, definition of 114 Moments, dimensionless 116 Moments, for grouped data 114 115 119 120 Moments, relations between 115 Moments, Sheppard's corrections for 115 122—124 moving averages 436 437 440—443 Moving averages, centered 438 440—442 Moving averages, method of percentage 438 448—451 Moving averages, weighted 437 Moving totals 436 440—442 Multimodal frequency curve 40 Multinomial distribution 158 174 263 Multinomial expansion 158 Multiple correlation 345—361 Multiple determination, coefficient of 347 353 354 Mutually exclusive events 129 Natural logarithms, base of 35 Nonconformance rates 474 Nonconforming item 477 Nonlinear, correlation and regression 312 315 333—335 349 Nonlinear, equations reducible to linear form 285 305—307 Nonlinear, multiple regression 349 Nonlinear, relationship between variables 281 285 Nonparametric tests 402—433 Nonparametric tests, for correlation 406 421—424 Nonparametric tests, Kruskal — Wallis H test 404—405 Nonparametric tests, Mann — Whitney U test 403 406 410—418 Nonparametric tests, runs test 405 406 421—424 Nonparametric tests, sign test 402 403 406—410 Nonrandom 405 Nonsense correlation 315 Normal approximation to the binomial distribution 157 170—172 Normal curve 40 156 157 Normal curve, areas under 157 165—170 Normal curve, graph paper 158 175 Normal curve, ordinates of 157 167 519 Normal curve, standard form of 157 Normal distribution 92 105 106 156—158 165—172 Normal distribution, fitting of data by 175 176 Normal distribution, proportions of 157 158 Normal distribution, relation to binomial distribution 158 170—172 Normal distribution, relation to Poisson distribution 158 Normal distribution, standard form of 157 Normal equations, for least-squares line 284 285 292—299 Normal equations, for least-squares parabola 285 305—307 Normal equations, for least-squares plane 286 346 Normality test 217—235 NP-chart 476—479 483 492 nth degree curve 282 Null hypothesis 216 365 Null set 133 Observed frequencies 261 OC curves see “Operating characteristic curve” Odds 127 Ogives 39—40 Ogives, deciles, percentiles, and quartiles obtained from 80—82 Ogives, median obtained from 72 73 Ogives, percentage 40 49—51 Ogives, smoothed 40 50 51 Ogives, “less than” 40 50 51 Ogives, “or more” 40 50 51 One-faclor experiments 362 373—379 One-sided or one-tailed tests 218 One-way classification 362 373—379 Operating characteristic curves 219 226—231 239 Operating characteristic function 228 Ordinates 4 Origin 5 Orthogonal latin square 372 P-chart 476—479 483—485 492 p-value, for analysis of variance procedures 377—379 382 386 390 393 p-value, for nonparametric procedures 408 410 412 414 419 421 422 425 428 p-value, for tests involving one or two means 225 248—252 p-value, for the chi-square test 274 parabola 16 285 Parameters, estimation of 201 202 Pareto chart 493—494 Partial correlation 345—361 Partial regression coefficients 345 Parts per Million (PPM) 474 Pascal's triangle 161 Pearson's coefficients of skewness 116 122 Percentage, component graph 19 Percentage, cumulative distributions 39 49 Percentage, cumulative frequency 39 50 51 Percentage, distribution 39 Percentage, histogram 38 Percentage, ogives 38—40 Percentage, trend method 438 448 451 Percentile coefficient of kurtosis 117 123 124 Percentile range 90 96 Percentiles 63 80—82 permutations 131 132 140—142 Permutations, circular 142 Pie graph or chart 5 21 22 Plane 4 Platykurtic 116 Point estimates 202 Poisson distribution 157 158 172—174 Poisson distribution, fitting of data by 176 177 Poisson distribution, properties of 157 158 Poisson distribution, relation to binomial and normal distribution 158 Polynomials 282 Population 1 181 Population parameters 201 202 positive correlation 312 Power curve 228 Power functions 228 Power of a test 219 probability 55 127—154 Probability function 129 Probability, axiomatic 128 Probability, classic definition of 128 Probability, combinatorial analysis and 131 132 144—147 Probability, conditional 128 Probability, curves 55 Probability, distributions 55 129 130 Probability, empirical 127 128 Probability, fundamental rules of 132 133 Probability, graph paper 158 175 Probability, relation to point set theory 132 133 Probability, relative frequency definition of 127 128 Probable error 204 212 Process capability index 475 482—483 491 Process spread 474 Product-moment formula for correlation coefficient 315 325—331 proportions 182—185 190—193 203 204 209—211 214 Proportions, confidence interval for 203 204 209 211 Proportions, sampling distribution of 182—183 Proportions, tests of hypothesis for 219—226 Quadrants 4 Quadratic, curve 282 Quadratic, equation 34 Quadratic, function 16 282 Quadratic, mean or root mean square 63 80 Quantiles 63 Quartic curve 282 Quartile coefficient of relative dispersion 108 Quartile coefficient of skewness 116 123 Quartiles 63 80—82 184 Quintiles 81 Random 54 55 405 406 Random, errors 364 365 368 369 Random, numbers 181 189 190 530 Random, sample 54 181 182 189 190 Random, variable 128 129 132 133 Random, variations 435 436 439 Randomization, complete 372 Randomized blocks 372 RANGE 89 Range, 10—90 percentile 90 96 111 Range, interquartile 90 Range, semi-interquartile 90 96 110 Rank correlation, coefficient of 406 426—428 Ratio-to-moving-average method 438 450 451 Raw data 36 Regression 285 294 311—313 345—354 Regression, curve 285 Regression, line 285 293 294 312 313 Regression, multiple 311 345—354 Regression, plane 285 345 346 Regression, sampling theory of 318 Regression, simple 311 Regression, surface 285 Relative dispersion or variance 89 107 108 Relative frequency 38 39 46—49 Relative frequency, curves 39 Relative frequency, definition of probability 127 128 Relative frequency, distribution 38 39 Relative frequency, table 38 39 Reliability 202 Residual 283 Residual variation 368 Reverse J-shaped distribution 40 Risk 192 Rod graph 52 Root mean square 63 80 Rounding errors 2 8 9 Rounding of data 2 8 9 Row means 362 363
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