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Hodges J. L., Lehmann E. L. — Basic Concepts Of Probability And Statistics
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Название: Basic Concepts Of Probability And StatisticsАвторы: Hodges J. L., Lehmann E. L. Аннотация: Basic Concepts of Probability and Statistics provides a mathematically rigorous introduction to the fundamental ideas of modern statistics for readers without a calculus background. It is the only book at this level to introduce readers to modern concepts of hypothesis testing and estimation, covering basic concepts of finite, discrete models of probability and elementary statistical methods. Although published in 1970, it maintains a modern outlook, especially in its emphasis on models and model building and also by its coverage of topics such as simple random and stratified survey sampling, experimental design, and nonparametric tests and its discussion of power.The book covers a wide range of applications in manufacturing, biology, and social science, including demographics, political science, and sociology. Each section offers extensive problem sets, with selected answers provided at the back of the book. Among the topics covered that readers may not expect in an elementary text are optimal design and a statement and proof of the fundamental (NeymanPearson) lemma for hypothesis testing.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 2-е изданиеГод издания: 2005Количество страниц: 462Добавлена в каталог: 17.11.2013Операции: Положить на полку |
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Treatment effects, estimation of 276 294 304 Treatment effects, test for absence of 333 339 352 357 384 see "Comparative "Constant "Randomization" Treatment effects, two 294 Treatments see "Estimating" "Heart" Trial 5 Trial, binomial 77 80 166 Trial, multinomial 81 84 231 see Trials see "Agricultural" "Clinical" Triangular taste tests 318 398 Trinomial distribution 232 Triplets 197 Truncated observation 363 Tschuprow, A.A. 304 308 TV see Physics Twins 25 72 352 see Twins as subjects for paired comparisons 352 Twins, fraternal 72 109 Twins, identical 25 72 108 Two boxes 105 108 114 Two dice 31 34 35 217 see Two draws from a box 71 Two laboratories 288 Two loaded dice 62 64 Two pennies 224 Two throws of a die 100 Two treatments see "Estimating" Two-by-two table 332 Two-child family see "Number" Two-decision problems 374 Two-letter words 8 Two-part experiments 62 see Two-sample test see "Wilcoxon" Two-sided test 390 407 Two-stage design 104 263 Two-stage experiments 104 Two-stage experiments in genetics 120 123 Two-stage experiments, model for 108 112 Two-stage sampling 104 Types see "Items" Unbiased estimate 215 Unbiased estimate, accuracy of 250 252 269 Unbiased estimate, nonexistence of 247 Unbiased estimate, through correction for bias 284 see "Estimation" Uncle see "Affected" Uncorrelated random variables 226 see "Random Uniform distribution 150 204 400 Uniform distribution, expectation of 205 207 Uniform distribution, variance of 205 Uniform law of large numbers 211 Uniform probability model 23 Uniform probability model, conditional 95 Uniform probability model, product of two 67 Uniformly most poweful test 397 union 31 see "Breakdown Unordered sample 52 Unrelated frequencies 70 73 see Vaccine see "Salk" Vaccine boosters 275 Value set of a random variable 134 Variance 157 158 Variance as measure of accuracy 249 Variance in lottery model 159 227 283 Variance in the hypergeometric distribution 228 Variance in the lottery model 227 Variance of average 267 Variance of binomial 171 283 Variance of estimate of difference 272 273 Variance of estimated treatment effect 278 280 Variance of hypergeometric 177 229 285 Variance of indicator 159 Variance of matching 207 230 Variance of measurement 266 282 Variance of optimum estimate 292 Variance of Poisson 202 Variance of sample average 262 Variance of stratified estimate 301 306 Variance of uniform 205 Variance of weighted average 287 Variance of Wilcoxon paired-comparison statistic 359 366 see "Law "Laws "Population Variance of Wilcoxon two-sample statistic 342 343 364 Variance, addition law of 162 163 227 Variance, estimation of 281 283 405 Variance, population 159 227 283 Velocity of light 265 Weighing design 277 299 Weighing with a chemical balance 268 Weighted average 112 287 290 301 307 Wheat acreage 260 Wilcoxon one-sample test 406 see Wilcoxon paired-comparison distribution 358 Wilcoxon paired-comparison distribution, expectation of 359 Wilcoxon paired-comparison distribution, normal approximation to 359 366 Wilcoxon paired-comparison distribution, recursion formula for 361 Wilcoxon paired-comparison distribution, symmetry of 361 Wilcoxon paired-comparison distribution, tables for 358 420 421 Wilcoxon paired-comparison distribution, ties in 365 Wilcoxon paired-comparison distribution, variance of 359 366 Wilcoxon paired-comparison test 358 Wilcoxon two-sample distribution 340 346 Wilcoxon two-sample distribution, expectation of 342 343 Wilcoxon two-sample distribution, recursion formula for 351 Wilcoxon two-sample distribution, symmetry of 348 Wilcoxon two-sample distribution, table of 347 349 366 419 Wilcoxon two-sample distribution, variance of 342 343 364 Wilcoxon two-sample test 340 384 Wilcoxon two-sample test, Mann — Whitney form of 347 Wilcoxon two-sample test, power of 384 Wilcoxon two-sample test, ties in 363 Wilcoxon, F. 340 358 Winning at tennis 79 Words see "Two-letter" World Series 212 X-test 402 X-test, extension to two quantities 408 Yerushalmy, J. 7
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