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Spiegel M.R., Stephens L.J. — Schaum's outline of theory and problems of statistics
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 statistics

Авторы: 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: en

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 1998

Количество страниц: 538

Добавлена в каталог: 10.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
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
1 2 3
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