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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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Abscissa 5 Absolute dispersion 93 107 Absolute value 89 Acceptance region 218 222 Alternative hypothesis 216 Analysis of time series 434—469 Analysis of time series, fundamental steps in 439 Analysis of variance 362—401 Analysis of variance, mathematical model for 364 368 369 Analysis of variance, one-factor experiments using 362—366 373—380 Analysis of variance, purpose of 362 Analysis of variance, tables 365 366 370 371 Analysis of variance, two-factor experiments using 367—371 380—388 Analysis of variance, using Graeco-Latin squares 372 390—393 Analysis of variance, using Latin squares 372 388—390 Analysis of variance, with replication 369—371 383—388 antilogarithms 7 25—28 Approximating curves, equations of 282 Areas of chi-square distribution 245 253 254 524 Areas of F distribution 246 257 525 526 Areas of normal distribution 156 157 164—167 522 Areas of t distribution 243 247 523 Arithmetic mean 59—62 65—72 Arithmetic mean, assumed or guessed 60 69 Arithmetic mean, Charlier's check for 93 103 Arithmetic mean, coding method for computing 60 70 71 Arithmetic mean, computed from grouped data 60 69—72 Arithmetic mean, confidence interval for 202 203 206—209 Arithmetic mean, effect of extreme values on 66 73 Arithmetic mean, for population and for sample 131 Arithmetic mean, long and short methods for computing 60 70 Arithmetic mean, of arithmetic means 60 67 68 Arithmetic mean, probability distributions 131 Arithmetic mean, properties of 60 68 69 Arithmetic mean, relation to geometric and harmonic means 63 78 79 Arithmetic mean, relation to median and mode 61 62 76 Arithmetic mean, weighted 59 67 Arithmetic progression, moments of 124 Arithmetic progression, variance of 111 Arrays 36 41 42 Assignable causes 470 Asymmetrical frequency curves 40 61 62 Asymptotically normal 182 Attributes control chart 471 Attributes data 471 Attributes, correlation of 264 275 317 Autocorrelation 316 Average 59 Average, deviation see “Mean deviation” Average, moving 436 437 440—443 Average, percentage method 438 446 447 Bar charts or graphs, component part 5 14—22 Base 2 Base, of common logarithms 6 Base, of natural logarithms 35 Bayes' rule or theorem 154 Bernoulli distribution see “Binomial distribution” Best estimate 202 Biased estimates 201 205 Bimodal frequency curve 40 Binomial coefficients 155 156 161 Binomial coefficients, Pascal's triangle for 161 Binomial distribution 155 157 159—164 Binomial distribution, fitting of data 174 175 Binomial distribution, properties of 155 156 Binomial distribution, relation to normal distribution 157 170—172 Binomial distribution, relation to Poisson distribution 158 172 173 Binomial distribution, tests of hypotheses using 220 235—238 Binomial expansion or formula 155 156 161 Bivariate, frequency distribution or table 317 329 Bivariate, normal distribution 317 Bivariate, population 317 Blocks, randomized 367—371 Business cycles 435 C-chart 479 487—488 Categories 36 Cell frequencies 262 329 Center of gravity 285 Centered moving average 438 441—443 Centerline 470 Central limit theorem 182 Centroid 285 Characteristic 6 7 25 26 Characteristic movements of time series 435 440—443 Charlier's check 93 103 111 115 121 Charlier's check, for mean and variance 93 103 Charlier's check, for moments 115 121 Chi-square 261—280 Chi-square, additive property of 264 Chi-square, analysis of variance using 364 365 369 Chi-square, definition of 261 262 Chi-square, for goodness of fit 262 Chi-square, formulas for in contingency tables 263 264 Chi-square, test 158 262—276 Chi-square, Yates' correction for 263 271 274 Chi—square distribution 244 253—256 Chi—square distribution, confidence intervals using 245 254 255 Chi—square distribution, tests of hypothesis and significance 261—280 Circular graph see “Pic graph” class 36 (see also “Class intervals”) Class boundaries, lower and upper 37 Class frequency 36 38 Class intervals 37 38 Class intervals, median 61 73 74 Class intervals, modal 42 43 Class intervals, open 37 Class intervals, unequal 48 Class intervals, width or size of 37 Class length, size or width 37 Class limits 37 Class limits, lower and upper 37 Class limits, true 37 Class mark 37 Coding methods 60 92 115 316 Coding methods, for correlation coefficient 316 330 Coding methods, for mean 60 71 Coding methods, for moment 115 119 120 Coding methods, for standard deviation 92 102 Combinations 132 142—144 Combinatorial analysis 131 132 144—147 Common causes 470 Common logarithms 6 7 25 28 Comparability of data 439 459 Complete randomization 372 Compound event 128 Compound interest formula 78 Computations 3 4 7 Computations, rules for 3 4 10 13 Computations, rules for, using logarithms 7 26—28 Conditional probability 128 Confidence coefficients 202 243 Confidence interval for differences and sums 204 211 212 Confidence interval for means 203 206 209 Confidence interval for proportions 203 209—211 Confidence interval for standard deviations 204 212 Confidence interval in correlation and regression 317 318 337—340 Confidence interval, using chi-square distribution 245 253—257 Confidence interval, using normal distribution 202 204 205—212 Confidence interval, using t distribution 243 247 248 Confidence levels, table of 203 Confidence limits 203 Constant 1 Contingency tables 262 263 270—274 Contingency tables, correlation coefficient from 264 274 275 Contingency tables, formulas for chi-square in 263 264 Contingency, coefficient of 274 275 Continuous data 1 8 Continuous data, graphical representation of 53 54 Continuous probability distributions 130 138 139 Continuous variable, I 8 control charts 219 231 232 470—471 control limits 470 Coordinates, rectangular 4 5 15 17 Correlation 311 340 Correlation coefficient 314 316 325—333 Correlation coefficient, for grouped data 316 328—331 Correlation coefficient, from contingency tables 264 275 276 Correlation coefficient, product-moment formula for 315 325 328 Correlation coefficient, regression lines and 316 331 333 Correlation coefficient, sampling theory and 317—336 Correlation coefficient, time series and 316 332 333 Correlation table 315 328 329 Correlation, autocorrelation 316 Correlation, linear 311 Correlation, measures of 312 Correlation, or attributes 275 280 correlation, partial 345—361 Correlation, positive and negative 312 Correlation, rank 406 426—428 Correlation, simple 311 344 Correlation, spurious 315 Correlation, tetrachoric 275 Counting method in Mann — Whitney U test 403 412 414 Countings or enumerations 2 Covariancc 315 325—327 CP index 474 CPK index 475 Critical region 217 218 Critical values 202 243 Cubic curve 282 Cumulative frequency 39 Cumulative probability distributions 130 Cumulative rounding errors 2 9 Curve fitting 281 Curve fitting, freehand method of 283 436 443 Curve fitting, least-squares method of 283 303 Cusum chart 479 Cyclic movements or variations 435 438 439 456—462 Cyclic pattern in runs test 405 421 422 Data, comparability of 439 459 Data, deseasonalization of 438 454—455 Data, grouped 37 Data, raw 36 Data, seasonally adjusted 438 454 455 Data, spread or variation of 67 Deciles 67 80—82 Deciles, from grouped data 50 80—82 Deciles, standard errors for 184 185 Decision rules 217 (see also “Statistical decisions”) Deductive statistics 1 defects 477 Degrees of freedom 243 245 246 Density function 130 Dependent events 128 Dependent variable 4 13 14 Dependent variable, change of in regression equation 347 348 Descriptive statistics 1 Deseasonalizalion of data 438 454 455 Design of experiments 181 372 Detective item 477 Determination, coefficient of 314 325 Determination, coefficient or multiple 347 354 355 Deviation from arithmetic mean 60 67 Diagrams see “Graphs” Dimensionless moments 116 Discrete data 2 Discrete data, graphical representation of 51—53 Discrete probability distributions 129 130 Discrete variable 1 8 dispersion 87 (see also “Variation”) Dispersion, absolute 93 107 108 Dispersion, coefficient of 93 94 107 108 Dispersion, measures of 89—113 Dispersion, relative 93 107 108 Distribution function 129 Domain of variable 1 8 Efficient estimates and estimators 201 202 205 206 Empirical probability 127 128 Empirical relation between mean, median, and mode 61 62 76 Empirical relation between measures of dispersion 93 105 Enumerations 2 3 Equations 5 22—24 Equations, equivalent 5 23 Equations, left and right hand members of 5 Equations, of approximating curves 282 283 Equations, quadratic 34 Equations, regression 345—354 Equations, simultaneous 5 23 24 Equations, solution of 5 Equations, transposition in 23 Errors, grouping 38 48 Errors, probable 204 213 Errors, rounding 2 8 9 estimates see also “Estimation” Estimates, biased and unbiased 201 202 205 206 Estimates, efficient and inefficient 202 203 205 206 Estimates, point and interval 202 203 Estimation 181 201—215 284 285 Estimation, of cyclic variations 438 439 456—459 Estimation, of irregular variations 439 456 459 Estimation, of seasonal variations 438 439 446 454 Estimation, of trend 437 444 446 Estimation, sampling theory 181 197 Euler diagram 133 147—150 Events 127—129 Events, compound 128 Events, dependent 128 Events, independent 128 Events, mutually exclusive 129 EWMA chart 479 485 486 493 Exact or small sampling theory 184 242—260 Expectation, mathematical 130 139 140 Expected or theoretical frequencies 261 262 Experimental design 181 371 372 Explained variation 314 323—325 335 EXPONENT 2 Exponential curve 282 Extrapolation 287 F distribution 246 (see also “Analysis of variance”) Factorial 131 Factorial, Stirling's formula for 132 144 Failure 127 155 Fitting of data 158 174 177 Fitting of data, by binomial distribution 174 175 Fitting of data, by normal distribution 175 176 Fitting of data, by Poisson distribution 176 177 Fitting of data, using probability graph paper 158 175 Forecasting 286 439 459 462 Four-dirnensional space 348 Freehand method of curve fitting 283 436 443 frequency see also “Class frequency” Frequency curves 40 Frequency curves, relative 40 Frequency curves, types of 40 Frequency distributions 36 57 Frequency distributions, cumulative 39 49 53 Frequency distributions, percentage or relative 39 46 49 Frequency distributions, rule for forming 38 Frequency function 129 Frequency polygons 38 42—49 Frequency polygons, percentage or relative 38 46 47 Frequency polygons, smoothed 40 53—55 Frequency table see also “Frequency distributions” Frequency table, cumulative 39 49 51 Frequency table, relative 39 Frequency, cumulative 39 Frequency, modal 40 Frequency, relative 38 39 Function 4 12—14 Function, distribution 129
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