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Harris R.J. — A primer of multivariate statistic
Harris R.J. — A primer of multivariate statistic



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Íàçâàíèå: A primer of multivariate statistic

Àâòîð: Harris R.J.

Àííîòàöèÿ:

As he was looking over materials for his multivariate course, Harris (U. of New Mexico) realized that the course had outstripped the current edition of his own textbook. He decided to revise it rather than use someone else's because he finds them veering too much toward math avoidance, and not paying enough attention to emergent variables or to structural equation modeling. He has updated the 1997 second edition with new coverage of structural equation modeling and various aspects of it, new demonstrations of the properties of the various techniques, and computer applications integrated into each chapter rather than appended.


ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/Âåðîÿòíîñòü/Ñòàòèñòèêà è ïðèëîæåíèÿ/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Èçäàíèå: third edition

Ãîä èçäàíèÿ: 2001

Êîëè÷åñòâî ñòðàíèö: 609

Äîáàâëåíà â êàòàëîã: 03.06.2005

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Computers, statistical procedures requiring      25
Comrey, A.L.      403 479
Confidence intervals (CI)      2 221 262
Confidence intervals (CI), about eigenvalues in PCA      352—354
Confidence intervals (CI), about means in Manova      221—222
Confidence intervals (CI), about regression coefficients      80 94—95
Confidence intervals (CI), constant-alpha split-tailed (CAST) CI      10
Confidence intervals (CI), prior-information CI (PICI)      7 9—10
Confidence intervals (CI), small-sample, vs. large-TV      353
Confidence intervals (CI), vs. p-values      See p values vs. confidence intervals
Connors Parent Questionnaire (CPQ)      70
Consonance of Bonferroni-adjusted specific comparisons      213—215
Consonance of STPs      234
CONSTANT test      255—256
Constraints      541
Constraints in SEM      467 477
Constraints on data      165—170
Constraints on interactions      452—453
Constraints, optimization and      485—486
Contingency table analysis      277 446—447
Continuous variables and functions      15 16t 23—24 32 448—449 453—455 482
Contrasts      See also Comparisons
Contrasts, among means      500—502
Contrasts, among regression coefficients      80—81 84
Contrasts, Bonferroni-adjusted critical value for      191
Contrasts, contrast of contrasts (c.o.c)      244—245
Contrasts, contrast-coded predictors      114
Contrasts, critical values for      222t
Contrasts, in Manova, testing within-subjects factors      254—255
Contrasts, independent / orthogonal      214 244 254 259
Contrasts, multiple-root tests and      234
Contrasts, normalized      428
Contrasts, orthogonal      214 244 254 259 563
Contrasts, pooled error term and      252
Contrasts, post hoc      191
Contrasts, Scheffe procedure      20—21 27 32 115 213—215 215t 221—222 222t
Contrasts, scores, strange, as tested by sequential approaches to unequal-n factorial      118—120
Contrasts, Type I error and      191
Contrasts, variance of      191
Contrasts, with above-average variance      136
Convergence      472
Cook, S.W.      143
Cookbook procedures      1 3
Cooley, W.W.      79 109 235
Cooperative (COOP) conditions      170
Cornwall, J.M.      136
Correlations      See also specific correlations
Correlations, canonical      See Canonical analysis
Correlations, coefficient of      29—32 35 38 66
Correlations, covariance and      66 352
Correlations, critical values for      445 445t
Correlations, error and      539—540
Correlations, linear transformation and      69
Correlations, matrix of      58t 84t 79 80 87—89 92 93 97 102 105 106 136 270 395—397 444
Correlations, Pearson-product moment      16t 29—32
Correlations, set-theoretic interpretation      147
Correlations, spurious      123—125 127—129 134 152 154
Correlations, unanalyzed      123 127—129 133—135 152
Correlations, within-groups vs. between means      242 337 347
Corrigan, B.      79
Cosine functions      515
Costs, of misclassification      182
Cotton, J.W.      451
Covariance      64
Covariance matrices      71 105—107 158 161 169—170 176 184—188 190 198 200—201 268—270 322—325
Covariance matrices, a priori, in $T^2$      187—188
Covariance matrices, between-set      270
Covariance matrices, computing      162—163 492
Covariance matrices, corrected for unreliability      280
Covariance matrices, eigenvalues of      288
Covariance matrices, homogeneity of      185—187 232 237 445 450 452
Covariance matrices, inverse of      72 105
Covariance matrices, known      187—188
Covariance matrices, PCA of      325—326 337 346 352 354 359 366 381
Covariance matrices, pooled      198 200 353
Covariance matrices, rank of      169
Covariance matrices, within-cells vs. total as basis for PCA      337 347
Covariance matrices, within-group      203 219 242
Covariance, analysis of      See Analysis of covariance
Covariance, between PCs      319
Covariance, degrees of freedom and      262
Covariance, estimators of      64 161
Covariance, linear dependence and      492
Covariance, matrices for      See Covariance matrices
Covariance, multivatiate analysis of      See Analysis of covariance multivariate
Covariance, of variable with itself      64
Covariance, vs. correlations as basis for PCA, FA      346 351—355 367 383 393
Covariance, Wishart distribution      76
Cox, C.M.      239
CPQ scores      494
CPT scores      494
Cramer, E.M.      36 352
Cramer, H.      352
Creager, J.A.      148
Crime areas      37—38
Criterion measure      47 482 484
critical values of      228 459 517 518—529t 532
Critical values, $\chi^2$, F, t and z      517
Critical values, Bonferroni adjustment of      13—14 21 24 45 54 164 187 191—192 213 215—218 481
Critical values, cvinter program      532
Critical values, gcr      517 518t-531t 532
Critical values, gcrinter program      532
Cronbach, L.J.      40
Cross-products of deviation scores      32 81
Cross-products, matrix      186—187 248t 265
Cross-validation studies      75 79
Crossover interactions      450
Crothers, E.J.      78
CRT screen      See Cathode ray tube
Cubic equations, solution of      241 323 416 514—515 515
Cureton, E.E.      422
Curve-fitting approach      78
Curvilinearity      30 32 61 145.
Curvilinearity in canonical analysis      444
Curvilinearity of relationships      30 56 444
Curvilinearity, check for      145
Cvinter program      532
CVS      See Canonical variates
Damselfish, territoriality in      227—229 227t
Daniel, C.      76—78
Darlington, R.B.      107 122
Data, dichotomous      17 30 31
Data, input via MATRIX DATA command      89—90 305—307 338—339
Data, interval scale properties      444
Data, matrices      321 492
Data, outliers      78
Data, presumptuous      68 110
Data, screening of      1
Data, structure of      318
Dawes, R.M.      79
Debugging      52
Degrees of freedom      18 19 32 39 76—77 80—81 90 113 130 143 146 212.
Degrees of freedom, contrast variances and      189
Degrees of freedom, covariates and      39
Degrees of freedom, for F approximation to Box test      186
Degrees of freedom, formula for, in tests of PCs      353—355
Degrees of freedom, within-subjects factor and      189—190
DeGroot, M.H.      284
Deindividuation      44—45
Delaney, H.D.      39
Deleted-variable approach to handling linear dependence      169—170 338
Dempster, A.P.      455
Dependent variable      See Outcome variables
Derivations      533—566
Derivatives, higher order      482—483
Derivatives, matrix derivatives      502—503
Derivatives, slopes and      482—485
DeSarbo, W.S.      36 293 295
Design      See also specific designs
Design, commonality among houses      373
Design, design matrix      341
Design, random factors with      260 263
Design, within-subjects designs      245 252—257 258—261
Determinants, cofactor definition of      499
Determinants, formulae for      160
Determinants, linear dependence and      169 337
Determinants, logarithm of      106
Determinants, near-zero      162—163 170 337
Determinants, of matrices      72 498
Deutsch, M.      143 166 167 168
Deviation scores      188 352 489
Diagonal matrices      141 501 509
Diagonal matrices, in Manova      242 510
Diagonal matrices, inverse of      496
Dichotomous coding      31 32n
Differential calculus      54 482
Dimensionality      236—237 335 342 348. of
Dimensionality, description of, as goal of FA      360
Dimensionality, of matrix      488
Dimensionality, of sets of variables      40
Dimensionality, reduction of      236 348
Dimensionality, tests of      237
Dinsmore, J.J.      201
Discrete variables      15 16t 32
Discriminant analysis      16t 25 182—184.
Discriminant analysis, multiple      229—231
Discriminant analysis, PCA, as internal DA      328
Discriminant analysis, terminology in      128
Discriminant function      22 24—26 28 54 55 57 159 161—162 164—166 168—170 173 178—179 182—185 200—204 206—209 220—238 248—259 263—267.
Discriminant function, classification and      209 228—233 267
Discriminant function, coefficients      162—164 177 179 181 184—185 240—243 250—253 259 261
Discriminant function, differences among groups on      223 247
Discriminant function, dimensionality of      220 230 264 267
Discriminant function, for flatness      228
Discriminant function, for parallelism      228
Discriminant function, gcr tests and      220 235 267
Discriminant function, in Manova      160 200—204 206—209 220 248—259 263—267 328 344—348 345t 347t
Discriminant function, interpretation of      165 173 179 201 197—199 226 253 257 263 266
Discriminant function, maximized contrast on      234 237
Discriminant function, normally distributed      182
Discriminant function, primary      229
Discriminant function, simplified      226 228 237—238 265 348 500—502
Discriminant function, statistical significance of      235—237
Discriminant function, univariate analysis on      248 251
Discriminant function, z-score vs. raw-score coefficients      209 345 345t
Discriminant of a cubic equation      323
Discriminant scores, F test on      248 251
Discriminant scores, t-test on      55 193 200—201 316
Distractor variables      38
Distributional assumptions      188 444—446 450—453
Divisions, of prizes      157t
Dominance dimension      376
Donaldson, T.S.      450
Doob, A.N.      37—38 277
Dorans, N.J.      75
Dougher, M.      256 257
Draper, N.R.      76 77 79
Drasgow, F.      74 78
Dropouts      277
Drug dosage      39
Drug use      273—277 275t 276t
Dunnett's test      217 239
Dwyer, P.S.      401 502
E matrix      219—220 231—232 240—243 245—247
Edwards, A.L.      114
Effects model      111
Efficiency, of classification      182—184 230—231
Eigenvalues (characteristic roots)      159 220—223 246 251 261 269—270 278 285—286 288 298—301 320 325—326 329 336 337 340 341 346—348 350—351 367 383 385 546—548 560
Eigenvalues (characteristic roots), $T^2$ and      159 190
Eigenvalues (characteristic roots), canonical correlations and      269—270 278 285—286 288 557—558
Eigenvalues (characteristic roots), communalities and      566
Eigenvalues (characteristic roots), cubic equations and      514—515
Eigenvalues (characteristic roots), decline of, as dimensionality criterion      336 342
Eigenvalues (characteristic roots), degree-of-freedom parameters      220 222n 269
Eigenvalues (characteristic roots), extraction of      404 422—430
Eigenvalues (characteristic roots), finding of      203 322—325
Eigenvalues (characteristic roots), gcr      See Greatest characteristic root
Eigenvalues (characteristic roots), generalized eigenvalue problem      220 251
Eigenvalues (characteristic roots), in factor analysis      394 401 404 408 415 419 421—430
Eigenvalues (characteristic roots), Laplace expansion      507
Eigenvalues (characteristic roots), largest      See Greatest characteristic root
Eigenvalues (characteristic roots), of asymmetric matrices      298—301
Eigenvalues (characteristic roots), of uncorrected matrix      324
Eigenvalues (characteristic roots), optimal C.O.C. and      244
Eigenvalues (characteristic roots), PC analysis and      365 367
Eigenvalues (characteristic roots), properties of      508
Eigenvalues (characteristic roots), significance of      220 235—237 269 270—280 314 317
Eigenvalues (characteristic roots), solutions for      506—507
Eigenvalues (characteristic roots), test for      317
Eigenvectors (characteristic vectors)      219—220 230 242 244 246—247 250 269—270 278 285—286 288 298—301 320 325 326 329 506—512 560
Eigenvectors (characteristic vectors), in PFA      404—406 420 421
Eigenvectors (characteristic vectors), normalized      319 323—327 329—330 341 508—509
Eigenvectors (characteristic vectors), solutions for      506—507
Einstein, A.      361
EINVH program      203 246
Emergent variables      84
Empiricism, dust-bowl      373 376
Endorphins      256—257
EQS program      433 478—479
Equations, cubic      See Cubic equations
Equations, homogeneous systems      512—513
Equations, in matrix form      487—513
Equations, linear dependence of      497
Equations, solving      496
Equity judgments      114—115
Ergograph      38—39
Error rate, experimentwise      See Experimentwise error rate
Error rate, per experiment, exact control of by Bonferroni adjustment      13 533—534
Error, error term      37 76
Error, matrix      76
Error, minimization by maximizing correlation      70 539—540
Error, minimizing, as goal of MRA      62—66 71—72 121—122
Error, misclassification      183
Error, of measurement      420
Error, roundoff      90 162 245 250 348 499
Error, snowballing      181
Error, sources of      252
Error, Types I and II      See Type I error; Type II error
Error, variance or variability, estimation of      77t 85
Estes, W.K.      5
Estimates, estimability condition      458
Estimates, notation for      322
Estimates, of parameters      59
Ethnicity      116
Ethnicity, Anglo — Chicano differences      23—24 33—34
Everitt, G.      166
Expenses-allocation conditions      15 6 177 179 181
Experimental designs      See specific designs
Experimenter, as factor      262
Experimentwise error rate      533—534
Experimentwise error rate, control of by Bonferroni adjustment      See Bonferroni adjustments
Experimentwise error rate, control of by finite intersection tests      21 238—240
Experimentwise error rate, control of by multivariate techniques      11 480
Experimentwise error rate, control of by union-intersection tests      12 234
Experimentwise error rate, defined      20
Experimentwise error rate, in Anova tests, lln      13—14 20 215—218
Experimentwise error rate, in Canona      283
Experimentwise error rate, in Manova      158—161 222t
extrema      482—485 502
Eye, A.      452
Eyeball tests      456
F approximation      186
F distribution      18—23 32 155 160 187—190
F distribution, degrees of freedom      77n 160
F ratio      83 93 108 161 162 184 189 192 193 200 204
F ratio, adjusted      191
F ratio, degrees of freedom and      188
F ratio, discriminant function and      252
F ratio, for within-subjects effects      190
F ratio, gcr criterion for post hoc      247
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