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| Harris R.J. — A primer of multivariate statistic |
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| Ïðåäìåòíûé óêàçàòåëü |
Least squares (LSQ) method, relation to unweighted means 113—114 545
Lee, J.C. 239
Levels hypothesis 173—175 177
Leventhal, L. 4
Levi, M. 277
Lewis, C.A. 114
Li, C.C. 284
Likelihood-ratio tests 36 231 267 279 218 317
Likelihood-ratio tests, distance measure and 183—184
Likelihood-ratio tests, likelihood function 184
Likelihood-ratio tests, null hypothesis and 279
Likert scaling 113 143
Lindquist, E.F. 450
Linear combinations, contrasts on 213 222t
Linear combinations, eigenvalues and See Eigenvalues
Linear combinations, eigenvectors and See Eigenvectors
Linear combinations, for components 318—319 320 326—329 348
Linear combinations, linear dependence and 497
Linear combinations, matrix algebra See Matrix algebra
Linear combinations, normally distributed 450
Linear combinations, of canonical variates 55
Linear combinations, of predictors 551
Linear combinations, of variables 4 13—14 17 24—25 27—28 32 40—42 45- 53—54 55 60 62 69 70 72 73 80 81 84 85—87 90—92 102 106 122 146 327 480 485.
Linear combinations, optimal 179 506
Linear combinations, outcome variables and 165—170
Linear combinations, PCA and 40 348 562—562
Linear combinations, variances of 320 349 562
Linear equity formula 164 129
Linn, R.T. 86 96 184 494
LISREL package 365 408—409
Little, T.D. 480
LMVs See Variables level-membership
Loadings, as regression coefficients for orthogonal factors 416
Loadings, bias in PCA-based estimates of 420—421
Loadings, eigenvectors and 405
Loadings, factor analysis and 404—406 420—421
Loadings, interpretation See Interpretation loadings-based
Loadings, kurtosis of 362
Loadings, normalized 363 364
Loadings, on canonical variate 289—293
Loadings, on discriminant function 346
Loadings, on discriminant function proportion to F ratio 345 345t
Loadings, on regression variate 109
Loadings, restrictions on in CFA 407
Loadings, rotation of 564—565
Locus of Control scale (LGC) 86 494
Loehlin, J.C. 479
Logarithms, of scores 61
Lohnes, P.R. 79 109 235
Lord, F.M. 30n 448
Love, W. 293—294
LSQ See Least squares method
MacDonald, G.E. 37—38 277
Mahalonobis'  statistic 184 231
Mahalonobis, P.C. 184
Maki, J.E. 25
Manova See Multivariate analysis of variance
Marcoulides, G.A. 480
Marijuana use 273—277 275t 276t
Markos, V.H. 236 278
Marks, M.R. 79—80
Martin, J.K. 408
Masculinity scale 345 448
Mathematics, in behavioral sciences 5
Mathematics, mathematization vs. cosmetic application 5
Mathworks, Inc 100
MATLAB program 87 100—101 162—163 162 181 196 198 285 286 297—299 315 325 350—351 421 532
MATLAB program, matrix commands 198
Matrix algebra 22 28 32 53 70—73 81 84 91 105 461 479.
Matrix algebra, A matrix 160 170
Matrix algebra, calculus and 502—503
Matrix algebra, characteristic roots See Eigenvalues
Matrix algebra, cofactor method 496 498
Matrix algebra, conformability for multiplication 490
Matrix algebra, covariance matrix 71 105—162—163 84t 77—78 324—325 540
Matrix algebra, cross-products matrix, x’x 81—84 84t 105 111 115 122 139—140 160 170
Matrix algebra, determinant of 499 547
Matrix algebra, diagonal matrices 141 149 240—243 325 329 337 347 384 394 509
Matrix algebra, differentiation procedures 219 502—503 552
Matrix algebra, division and 72 493
Matrix algebra, E matrix 242
Matrix algebra, eigenvalues See Eigenvalues
Matrix algebra, eigenvectors See Eigenvectors
Matrix algebra, equations in 232 493—496
Matrix algebra, equicovariance matrix 324—325
Matrix algebra, error matrix See E matrix
Matrix algebra, Factor pattern and 424
Matrix algebra, formulae 53
Matrix algebra, Identity matrix 72
Matrix algebra, inversion See Inversion of
Matrix algebra, linear combinations of 164 489—492
Matrix algebra, maxima in 541
Matrix algebra, minors 498 501
Matrix algebra, multiplication of 489—492
Matrix algebra, nonsymmetric 490
Matrix algebra, notation for 491—492
Matrix algebra, operations in 16
Matrix algebra, operations on computer 496—501
Matrix algebra, orthogonality 320 324—325
Matrix algebra, partitioned matrices 160 269 503—506 543 547
Matrix algebra, products 489—492
Matrix algebra, programs for 461
Matrix algebra, rank 397—400 501—502
Matrix algebra, regression equation and 506
Matrix algebra, residual matrix 510
Matrix algebra, round-off error in 499
Matrix algebra, row operations 496—501
Matrix algebra, singular and near-singular matrices 163 170 337
Matrix algebra, square matrices 494
Matrix algebra, submatrices 501
Matrix algebra, symmetric matrices 205 220 249 488 499
Matrix algebra, trace 159
Matrix algebra, transpose 499
Matrix algebra, triangular forms 496—501 505
Matrix algebra, utility of 56—57 479
MATRIX DATA command, SPSS 89—90
Maximization See Optimization
Maximum correlation criterion 69—71
Maximum-likelihood method 43 355
Maximum-likelihood method, disadvantages of 407 427
Maximum-likelihood method, factor analysis and 355 400 407—410
Maximum-likelihood method, number of factors and 406
Maximum-likelihood method, statistics using 361
Maximum-likelihood method, tests in 280
Maximum-R criterion 69—71
Maxwell, S.E. 32 136
McArdle, J.J. 480
McCall, R.B. 190
McClintock, C.G. 25
McDonald, R.P. 408 411 414 419 437
McFatter, R.M. 136
McGuire, W.J. 3 243
McNemar's test of correlated proportions 277
Mean vectors, tests on 155—209
Means model 111
Means, weighted vs. unweighted 116—117 117t 120
Measurement, outliers 78 121—122
Measurement, scales of, and “permissible” analyses 444—350
Measurement, Stevens's classification 447—449
Measurement, units of 175
Measurement, zero error in fixed variables 62
Melgoza, B. 33
Memory 19—20
Mendoza, J.L. 190 235 278
Meredith, W. 280 285 287—288 480
Messick, W. 40 68
Mgl hypothesis See Optimization
Millsap, R.E. 327 370
Minimally important difference significant (MIDS) criterion for sample size 8—9
Minimum residuals method (minres) 44 407—408
| Minimum residuals method (minres), disadvantages of 407
Minnesota Multi-Phasic Inventory (MMPI) 294 308 317
Minres See Minimum residuals method
Misclassifications 182—183
Mixed model 76
MMPI See Minnesota Multi-Phasic Inventory
Models, explanation and 348 360
Models, mathematical 5
Models, modeling effect 34
Models, multiplicity of 318
Models, nested 439—442
Models, testing of 5 6.
Moler, C. 87 100 285 481 532
Monte Carlo studies 79 190 230 234 236 277—278 295—297 304 347—348 352 452
Monte Carlo studies, data for 451
Monte Carlo studies, “loaded” 80
Morris, J.D. 122
Morrison, D.F. 76 221 233 317 352 459—460 462 479 509
Mosteller, F. 23 76
Motives, and behavior 25
MRA See Multiple regression analysis
Mudholkar, G.S. 239
Mulaik, S.A. 5 44 136 394 406—408 410—411 419—420 437 479
Muller, K.E. 223
Multiple comparison 11 157 213—218
Multiple correlation 16t 31—34
Multiple discriminant analysis 229—231
Multiple profile analysis 224—230
Multiple regression analysis (MRA) 4 12n 15 16t 17 31—34 37 39 41 43 55
Multiple regression analysis (MRA), (non)arbitrariness of 292—293
Multiple regression analysis (MRA), adding predictors to 185
Multiple regression analysis (MRA), canonical analysis and 268 277
Multiple regression analysis (MRA), equation 32
Multiple regression analysis (MRA), formulae 84t
Multiple regression analysis (MRA), Hotelling's  and 184—185 549—551
Multiple regression analysis (MRA), matrix formulae for 17 70—72
Multiple regression analysis (MRA), multivariate 290
Multiple regression analysis (MRA), on group-membership variables 544
Multiple regression analysis (MRA), residual scores 39
Multiple regression analysis (MRA), scalar formula for 536—538
Multiple regression analysis (MRA), stepwise 95—96
Multiple regression analysis (MRA), suppression effects 76 134—136
Multiple root tests 231—240. See also Hotelling's trace
Multiple root tests, gcr tests and 231 234 236—240
Multiple root tests, Manova and 231—240
Multiple root tests, robustness of 25 238—240
Multiple-group method 43
Multipliers 485—486
Multivariate analysis of variance (Manova) 210—267
Multivariate analysis of variance (Manova), BMDX69 program 249—250 393
Multivariate analysis of variance (Manova), Bonferroni-adjusted 229
Multivariate analysis of variance (Manova), canned programs for 232 246 250 256 257—262
Multivariate analysis of variance (Manova), canonical analysis and 557—559
Multivariate analysis of variance (Manova), canonical R, relation to 55
Multivariate analysis of variance (Manova), computational saving in, via PC A 337
Multivariate analysis of variance (Manova), discriminant analysis and 229—231 262—264 255
Multivariate analysis of variance (Manova), discriminant functions in 25—26
Multivariate analysis of variance (Manova), factorial 242 254 256 259—260 263 557—559
Multivariate analysis of variance (Manova), Fratio and 55 552—553
Multivariate analysis of variance (Manova), gcr significance 228
Multivariate analysis of variance (Manova), generation from univariate Anova 245—247
Multivariate analysis of variance (Manova), higher order 16t 22—23 245—252 510—512
Multivariate analysis of variance (Manova), Hotelling's , reduction to 220
Multivariate analysis of variance (Manova), in repeated-measures design 252—257
Multivariate analysis of variance (Manova), loadings and 346 412
Multivariate analysis of variance (Manova), maximization algorithm 243
Multivariate analysis of variance (Manova), multiple-root tests 231—240
Multivariate analysis of variance (Manova), null hypothesis and 220 224 248
Multivariate analysis of variance (Manova), obesity main effect and 28 345—347 345t 346t
Multivariate analysis of variance (Manova), one-way 24—26 218—224 316—317 557—559
Multivariate analysis of variance (Manova), outcome vectors 24 25 27 39 210 220 252 262
Multivariate analysis of variance (Manova), parallelism tests and 228 252
Multivariate analysis of variance (Manova), partitioned-lambda (Partitioned U) 234—237 279—280
Multivariate analysis of variance (Manova), principal components and 344—348
Multivariate analysis of variance (Manova), robustness of 451
Multivariate analysis of variance (Manova), SAS and 246 250 260—262
Multivariate analysis of variance (Manova), simple cases of 240—243
Multivariate analysis of variance (Manova), SPSS program 232 236 246 250 256—260 265 289 297 301 304—307 459 461 464 557
Multivariate analysis of variance (Manova), tests in 25 220 235 267 279
Multivariate analysis of variance (Manova), unbalanced 106—108 256 460—464
Multivariate analysis of variance (Manova), union-intersection principle 239
Multivariate analysis of variance (Manova), Wilks's lambda criteria 231—232 234—237
Multivariate general linear hypothesis (mgl) 456—464
Multivariate multiple regression 290
Multivariate normality 76 188 231—232 236 444 445 450 452 457
Multivariate reality 294
Multivariate statistics, defined 10 15 16t 36
Multivariate statistics, vs. multiple univariate statistics 342
Myers, J.L. 153
Naloxone 256—257
Narcotics 274
Natural laws 361
Negative values, influence on equity judgments 106
Nesselroade, J.R. 0
Newhaus, J. 362
Nicewander, W.R. 36 40 190 294
No motivating orientation (NMO) 167t 170 201 152 161
Noise 374
Nominal data 444 446
Non-orthogonal designs 105 106—108 194
Nonlinearity 444 450 453—456
Nonparametric alternatives 452
Normal distribution 9 18 76 80 353 517
Normal distribution of eigenvalues 353
Normal distribution, Hotelling's and 160 188
Normal distribution, multivariate 76 188 444
Normalization 285—286 311 314 319 323—326 329—333 337 340 363 364 375 380 384—386 389 394 415—417
Normalization, Kaiser procedure 363—364
Norton, D.W. 19
Notation 45
Notation,  , as total number of comparisons 216—218
Notation, boldface in 489
Notation, for matrix calculus 487—513
Nuisance variables 38 106
Null hypothesis 2—8 11 12 17—25 27 30 32 36 39 57 73 274 278—280 308 517 557
Null hypothesis significance testing (NHST) 2—5 439
Null hypothesis significance testing (NHST), directional two-tailed test 4
Null hypothesis significance testing (NHST), need for three-alternative hypothesis testing 4—5 6
Null hypothesis significance testing (NHST), objections to 2—3
Null hypothesis significance testing (NHST), proposed ban from APA journals 3—5
Null hypothesis significance testing (NHST), split-tailed tests 5 9—10
Null hypothesis, characteristic root and 274 278—280
Null hypothesis, discriminant function and 161
Null hypothesis, F ratio and 20 220
Null hypothesis, flatness test 173 189
Null hypothesis, gcr approach and 234 236
Null hypothesis, global 5
Null hypothesis, Hotelling's and 22—25
Null hypothesis, in confirmatory FA 407
Null hypothesis, in matrix form 102 174—176 279
Null hypothesis, levels test 173 189
Null hypothesis, maximum-likelihood method of FA and 407
Null hypothesis, omnibus test of 452 481
Null hypothesis, parallelism test 174 225 227—228 252
Null hypothesis, pooled covariance and 194
Null hypothesis, profile analysis and 173—176
Null hypothesis, significance test for See Significance tests
Null hypothesis, Type I error See Type I error
Null hypothesis, Wilks's lambda and 235
O'Curry, S. 452
O'Grady, K.E. 216 218 532
Obesity, attitudes toward 28 344—347 345t 347t
Oblique rotations 395 409 414 422 429—433
Olkin — Pratt formula 75
Olkin, I. 75
Olson, C.L. 187 232 237 451
One-tailed test, inappropriateness of 450
One-way analysis See Analysis of variance
Optimism criterion 69
Optimization 14
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