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Hodges J. L., Lehmann E. L. — Basic Concepts Of Probability And Statistics
Hodges J. L., Lehmann E. L. — Basic Concepts Of Probability And Statistics

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Название: Basic Concepts Of Probability And Statistics

Авторы: 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: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-е издание

Год издания: 2005

Количество страниц: 462

Добавлена в каталог: 17.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceptance of a null hypothesis      311
Acceptance of a null hypothesis, false      370 373
Accuracy (of an unbiased estimate)      250 252 269 283 see "Precision" "Sample "Standard "Variance"
Acreage      see "Wheat"
Addition law for exclusive events      34 35
Addition law for general events      35 38
Addition law of covariance      225
Addition law of expectation      151
Addition law of variance      162 163 227
Additives      see "Engine-oil"
Additivity (of treatment effects)      296
Admissions      see "College"
Adulterations      see "Testing"
Affected sib      119
Affected uncle      120
Agricultural field trials      352
Algebra of events      28 31
Allocation (of observations) in estimating a difference      293 307
Allocation (of observations) in estimating a treatment effect      294
Allocation (of observations) in estimating the effects of two treatments      294
Allocation (of observations) in stratified sampling      301 303 308
Allocation (of observations), equal      293
Allocation (of observations), optimum      293 298 303 307
Allocation (of observations), proportional      301 303
Allocation in estimating difference      293
Allocation in estimating treatment effect      294
Alternative (to the null hypothesis)      372 381
Arithmetic mean      145 164 261
Arithmetic mean, coded computation of      263 see "Population
Assessment bias      336 355 see
Assignment bias      353 363 see
authorship      see "Disputed"
Average of n random variables as best weighted average      288
Average of n random variables as estimate      261 267
Average of n random variables as test statistic      401 see
Average of n random variables, expectation of      155
Average of n random variables, law of large numbers for      211
Average of n random variables, variance of      164
Average treatment effect      276 294
Baby pictures      206
balance      see "Weighing"
Bayes' law for composite events      116
Bayes' law for simple events      114
Bayes' law in subjective approach      129
Bernoulli, J.      210
Bias      328 329 335
Bias in assessing a treatment effect      279 327
Bias in measuring      269
Bias in using random numbers      86
Bias of estimates      245 284
Bias of purposive sampling      40
Bias, assessment      336 355
Bias, assignment      329 353 363
Bias, correction for      250
Bias, selection      336
Bias, self-selection      355 see
Binomial (trials) model      77
Binomial (trials) model as basis for sign test      354
Binomial (trials) model as basis for Wilcoxon paired-comparison test      357
Binomial (trials) model as measurement model      269
Binomial (trials) model for defectives in mass production      80 169
Binomial (trials) model, combination of two      397 see "Test
Binomial (trials) model, estimation of n in      248
Binomial (trials) model, estimation of p in      243 245 250
Binomial (trials) model, estimation of p(1 — p) in      283 284
Binomial (trials) model, estimation of p/q in      247
Binomial (trials) model, generalization to unequal probabilities      81 200 211
Binomial (trials) model, probabilities in      80
Binomial (trials) model, realism of      78
Binomial (trials) model, relation to sampling model of      78 176
Binomial (trials) model, sample size in      255 257
Binomial (trials) model, sequential      212
Binomial coefficients      47 see
Binomial distribution      167
Binomial distribution as approximation to generalized binomial      200
Binomial distribution as approximation to hypergeometric      176
Binomial distribution as multinomial marginal      232
Binomial distribution in sign test      354 365 see "Quality "Statistical "Test
Binomial distribution, expectation of      170
Binomial distribution, generalized      200 211
Binomial distribution, normal approximation to      191 210
Binomial distribution, normal tendency of      186 187
Binomial distribution, Poisson approximation to      195 198
Binomial distribution, standardized      181
Binomial distribution, symmetry in      169 173
Binomial distribution, tables of      167 413 414
Binomial distribution, use of Tables B and C for      168
Binomial distribution, variance of      171
Binomial distributions      187
Binomial model      243 245 247 250 255 283
Binomial probabilities, comparing two      246 251 see
Binomial probabilities, estimation of      243 245 247 250 255
Binomial random variable      167
Binomial random variable and law of large numbers      209
Binomial random variable as sum of indicators      170
Binomial random variable, expectation of      170
Binomial random variable, variance of      171
Binomial theorem      60 167 173
Binomial trials      77 80 166
Binomials      see "Combination" "Difference" "Testing"
Bioassay      265
Birthdays      60
Births      see "Male"
Blind (clinical) trial      337 362
Blocking      330 see
Bonus      see "Bridge"
Boosters      see "Vaccine"
Boxes      see "Two" "Two
Boy or girl?      14
Boys      see "Distribution" "Number" "Probability"
Breakdown law      115
Breaking strength      366
Bridge      23 48 143
Bridge bonus      143
Brother-sister marriage      123 125
Cancer      see "Smoking"
Card      see "Drawing" "Heart"
Carrier      118 121 123 126
Causality      100
Center of a distribution      148 245 see "Median"
Center of gravity      148
Central limit theorem      187 192 402
Changing the sex ratio      310 312 370 371 377 387
Chebyshev inequality      209 268
Chemical balance      see "Weighing"
Chemotherapy      371
Chi-square test (of goodness of fit)      321
Chi-square test (of goodness of fit), table of      322 418
Children      see "Pre-school" "Sex"
Choosing one of an arbitrary number of items      85
Choosing one of one hundred items      85
Choosing one of ten items      85
Choosing ten of the fifty American states      86
Choosing two of ten items      86
Clinical trials      352
Clinical trials, blind      337 362
Clinical trials, double blind      337
Clinical trials, paired comparisons in      352
Coding of observations      263
Coins      14 70 95 224
College admissions      113 374
College entrance tests      359
Combination of two binomials      397
Combinations      47 see
Comparative experiments      80 326
Comparative experiments for two binomial probabilities      246
Comparative experiments for two hypergeometric models      253
Comparative experiments for two measured quantities      272
Comparative experiments for two populations      273
Comparative experiments for two treatments      276 332 339 351 357
Comparative experiments, stratification in      304 see "Fisher "Paired "Randomization" "Sign "Wilcoxon "Wilcoxon
Comparing two drugs      80
Comparison of populations      273
Comparison of two measured quantities      272
Complement      28 31 34
Complementation      31
Complementation law      34
Composite event      18
Composite result      18
Computation of null distribution of Q      321 322
Conditional distribution      221 235
Conditional expectation      221 223
Conditional frequency      69 89 91 97
Conditional probability      91 96 114 see
Conditional probability model      91 92
Conditional probability model, realism of      93
Consistency of notation for product models      66
Consistent estimate      268
Constant effect model      276 278 280
Constant random variable      151 161
Consumer's risk      375
Control      see "Quality"
Controls      278 313 327 see "Comparative
Correction factor for sampling without replacement      177 228 257 262
Correlation coefficient      226 228 230
Counter      see "Lunch"
Covariance      162 223
Covariance in double lottery model      225 230 280
Covariance in multinomial distribution      232
Covariance in multiple hypergeometric distribution      235 see
Covariance of two indicators      164
Covariance, addition law of      225
Covariance, population      225 229 280
Critical value (of a test statistic)      311 372 374
days      see "Rain"
De Morgan's laws      33
Defective items in mass production      80
Defectives in lot sampling      78 219 374 379
Defectives in mass production      80 169 231 see
Degrees of freedom      322
Delegation      40 41 137 143
Dependence of events      100
Dependence of random variables      225
Dependence, indirect      72 100 126
Design      241 276 293 303
Design, factorial      296
Design, two-stage sequential      104 263
Design, use of binomial trials in      80 336
Design, weighing      271 299 see "Blocking" "Stratified
Deterministic experiments      3
Diabetes      see "Insulin"
Diagnostic tests      113 114 116 see
Diameter      see "Shaft"
Dice      5 25 152 190 see "Several" "Sum" "Three" "Throwing" "Two" "Two "Two
Dice, loaded      13 64 90 233
Dice, testing      383 398
Die      see "Fair"
Difference      see "Allocation"
Difference of two binomial probabilities      246 251
Difference of two binomials      246 251
Difference of two measurements      272
Difference of two population averages      273
Difference of two proportions      253
Difference of two random variables      155
Differential selection      93
DIGITS      see "Random"
DiME      see "Penny"
Discrete response      362
Diseased poplars      43
Dispersion of a random variable      157 209
Dispersion of a random variable, Laplace's measure of      158 see "Standard "Variance"
Disputed authorship      129
Distance      see "Measuring"
Distribution (of a random variable)      137
Distribution (of a random variable) of a measurement      265 see "Normal "Random "Symmetry" "Variance" "Binomial" "Hypergeometric" "Matching" "Multinomial" "Uniform" "Poisson" "Wilcoxon "Wilcoxon
Distribution (of a random variable) of an estimate      244
Distribution (of a random variable) of indicator      138
Distribution (of a random variable) of maximum      208
Distribution (of a random variable) of standardized variable      180
Distribution (of a random variable), center of      148 245
Distribution (of a random variable), conditional      221
Distribution (of a random variable), dispersion of      157
Distribution (of a random variable), histogram of      138 180
Distribution (of a random variable), joint      218
Distribution (of a random variable), marginal      220 222
Distribution (of a random variable), multiple hyper-geometrlc      219 234 235
Distribution (of a random variable), normal approximation to      190
Distribution (of a random variable), quadrinomial      234
Distribution (of a random variable), rectangular      183
Distribution (of a random variable), symmetry of      148
Distribution (of a random variable), trinomial      232
Distribution of boys and girls      219
Distributions      see "Binomial" "Computation" "Variance"
Dominance      119
Double blind (clinical) trial      337
Double lottery      218 224
Double lottery model      218 224 230 280
Double lottery model as basis for estimating treatment effect      276 280
Double lottery model as basis for power of Wilcoxon two-sample test      384 see
Double lottery model, allocation in comparison of two      294
Drawing a card      23
Draws      see "Two"
drugs      see "Comparing"
e      196 202
Effect      see "Treatment effect"
Effect of a growth hormone      406
Effect of training      200
effects      see "Allocation" "Estimating"
Election forecasting      231 256
Empirical basis of probability      10 25
Empirical histogram      192
Empty set      29 30
Engine-oil additives      275
Entrance tests      see "College"
Equal allocation      293
Equal-tails test      392
Equally likely cases      24 105
Equivalence law of ordered sampling      55 59
Equivalence law of ordered sampling, generalized      55 59 277
Error probabilities      371 373 377
Estimate, consistent      268
Estimating difference      see "Allocation"
Estimating the effects of two treatments      294
Estimating treatment effect      see "Allocation"
Estimation      240
Estimation of a measured quantity      267 286 307
Estimation of a population average      261 299 303
Estimation of a proportion      245 250 256
Estimation of average treatment effect      276 294 304
Estimation of binomial p      243 250 255
Estimation of difference of two binomial p's      246 251
Estimation of population size      249
Estimation of the difference of two measured quantities      272 293 307
Estimation of the difference of two population averages      273
Estimation of two treatment effects      294 see "Bias" "Design" "Estimation "Sample
Estimation of variance      281
Estimation of variance in binomial model      283
Estimation of variance in lottery model      283
Estimation of variance in repeated measurements model      281
Estimation of variance, accuracy of      283
Estimation of variance, bias corrections for      284
Estimation, interval      240 243
Estimation, point      240
Estimation, unbiased      245
Euler, L.      196
Event set      15 18
Event set, product of two      63
Events, complement of      28 31 34
Events, composite      18
Events, exclusive      30 33 35 102
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