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| Harris R.J. — A primer of multivariate statistic |
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| Ïðåäìåòíûé óêàçàòåëü |
Sampling, tetrad differences 304
Sampling, units of 155n-156n
Sampling, variances in 211
Sampson, P.F. 409
SAS Institute, Inc. 467
SAS programs, PROC CALIS 433—442
SAS programs, PROC FACTOR 408 422
SAS programs, PROC GLM program 246 250 260—262 297 459
SAS programs, PROC MATRIX program 162—163 181 299—301
SAS programs, PROC REG program 103—105
SAS programs, PROC RSQUARE program 95 103—105
SAS programs, User's Guide, online 478
Saunders, D.R. 362
Scalar formulae 16 71—72 322—325 488—490
Scaling 164 326
Scarr, S. 130 464
Scatter diagram 76
Scheffe contrast procedure 83 213—215 215t 221—222 222t 247 334
Scheffe contrast procedure, Bonferroni approach and 55
Scheffe contrast procedure, for means 213
Scheffe contrast procedure, multivariate extension of 15 22 221 222t 247
Scheffe contrast procedure, properties of 150—156
Scheffe contrast procedure, variability and 195
Scheffe's significance criterion 216 218
Schizophrenia scales, of MMPI 226
Schmidt, F.L. 64
Schnabel, K.U. 480
Schull, W.J. 186 452
Schumacker, R.E. 520
Schuurman, F.J. 239
Scientific Subroutine Package (SSP) 313
Scrambled-word problems 155
Scree analysis 44 341—342 408
screening 1 2 247
Searle, S.R. 479
Self-awareness 44
Selltiz, C. 143
Senders, V.L. 30n
Setwise error rate 215
Shakespeare, W. 55
Shared file system 143
Sheu, C-F. 452
Siegel, S. 30n
Significance tests 1 3 13 269 270—280 314 317.
Significance tests, combined t ratio 102
Significance tests, contrasts of contrasts and 182
Significance tests, factorial approach and 78
Significance tests, for canonical analysis 269 270—280 314 317
Significance tests, for Manova 219—224 222t . 279
Significance tests, for MRA 77t
Significance tests, for Pearson r 31
Significance tests, for principal components 341 342
Significance tests, gcr approach 170 188
Significance tests, illustration of 86—94
Significance tests, of overall null hypothesis 19 20—25 36
Significance tests, robustness of 444
Significance tests, union-intersection approach 12n 14 17 20—21 146 156—158 221 234
Significance tests, univariate 7 155—156 211—212 445t
Significance tests, Wilks' lambda criterion 231 234—237 280
Significance tests, within-subjects effect See Repeated-measures design
Simon, T.L. 192
simplicity 361 367 372
Simultaneous equations, homogeneous 512—513
Simultaneous equations, linear 485
Simultaneous equations, solving 493—496
Simultaneous test procedures (STPs) 234—238
Singer, J.D. 480
Singh, K. 136
Skellum, J.G. 5—6
Slopes 175
Slopes, derivatives and 482—485
SMC See Squared multiple correlation
Smith, E.R. 136
Smith, H. 76 77 79
Smith, K.J.C. 0
Social Psychology (Brown) 449
Social status 449
Sociometrics 55
Software See programs by name
Sorbom, D. 408 467
Spacecraft 121
Spath, H. 480
Spearman rank-order correlations (rho) 444
Spearman rho 445
Spearman, C 30 30n 425 444—445
Sphericity 106
Spiegel, D. K. 115
SPSS package 236 246
SPSS package, CANCORR program 301—304
SPSS package, FACTOR program 325—326 338—340 408 421—433
SPSS package, GLM program, problems with 260—261
SPSS package, MANOVA program 232 236 246 250 256—260 265 289 459 461—464
SPSS package, MATRIX / END MATRIX program block 196 299—301
SPSS package, REGRESSION program 89—90 93 96 101—103 106 138
Square root method 406. See also TDA
Squared deviation 15 19 20 65
Squared errors 66 70.
Squared multiple correlation (SMC), communality and 401—403 405 410 418
Squares, sum of 20—21 77t 84t 213—215 219 228 244—245 248 250 264 557—559
SSP See Scientific Subroutine Package
Stability, of results 3
Standard deviation, differential 106
Standard deviation, estimate of 8—9 17
Standard deviation, standard error of estimate 29
Standardized measures 293. See also z scores
Stanford — Binet test 58
Stanley, J.C. 59 445
Statistics See also specific statistics
Statistics as form of social control 1—2 6
Statistics, descriptive 1 3 10—12 14
Statistics, inferential 1 3 6 10—12
Statistics, selection of 148
Statistics, tables and websites for 517
Statistics, techniques 16t 36
Statistics, univariate, recent developments in 6—10
Steele, M.W. 108 453
Steiger, J.H. 5 136 411 450
Step-down analysis 95 103 143
Stepup MRA 95 103 143
Stepwise procedures 95—96 455 404
Stevens's classification 446 449
Stevens, S.S. 30n 59 444—449
Stewart, G.W. 293—294 467
STP See Simultaneous test procedures
Stress 193
Stressor 193
Structural equations modeling (SEM) 433 464—479
Structural equations modeling (SEM), as combination of path analysis, FA 464
Structural equations modeling (SEM), as general model for mulivariate statistics (not) 472—473
Structural equations modeling (SEM), can't constrain scoring coefficients 472
Structural equations modeling (SEM), constraints, tests of 467
Structural equations modeling (SEM), convergence problems 472
Structural equations modeling (SEM), examples 464—468 468—470 470—471 473—478
Structural equations modeling (SEM), higher order CFA via 473—478
Structural equations modeling (SEM), identification 469
Structural equations modeling (SEM), increment to canonical R 470—471
Structural equations modeling (SEM), inflated alphas for significance tests 467 470
Structural equations modeling (SEM), Lagrange multiplier tests 467
Structural equations modeling (SEM), programs for 478—479. See also PROC CALIS
Structural equations modeling (SEM), reproduced correlation matrix 466
Structural equations modeling (SEM), rotations of solutions indistinguishable 471
Structural equations modeling (SEM), Wald tests 467
Structure, analysis of 318 328 351 356
Structure, factor analysis and 394—443
Structure, Kaiser-normalized 417—418 418t
Structure, matrix for 321
Structure, restrictions on, in CFA 407
Structure, simple 361 416 422 443
Stuart, A. 235
Student's t test See t distribution; t test
| Subbaiah, P. 239
Subjects, defined 100n
Sum of squares See Squares sum
Summary tables 12n 83
Summation notation 64
Suspicion 226
Symmetric matrices 509
Symmetry of canonical analysis 453
Symmetry, compound 190
Syntax window, in SPSS PC 101—102
t See t test
t distribution 317. See also t tests
t distribution,  and 317
t distribution, Bonferroni adjustment for 213 215—218 469—474
t distribution, computer subroutine for 216
t distribution, critical values 156
t distribution, degrees of freedom in 18 65
t distribution, extremities of 216
t distribution, tables and websites for 156 517
t ratio See t test
t test 8 11 16t 17—18 163.
t test, analogs for 192
t test, and canonical correlation approach to correlated proportions 278
t test, Bonferroni-adjusted 164 213 215—218
t test, computer subroutine for 216
t test, flatness test 196
t test, for correlated means 196
t test, generalization of 155
t test, normality assumption 188
t test, on discriminant function 22 24 55 546—548
t test, on discriminant scores 316
t test, post hoc t 160
t test, single-sample version of 155
t test, tables for 156
t test, two-sample test 24
t test, unequal-covariance case 187
t test, univariate 11 22 160 210
t test, Welch — Aspin t tests 187 451
Tabachnick, B.G. 190 233 479
Tatsuoka, M.M. 169 235 479
TDA See Triangular decomposition
Tedeschi, J. 108 453
Television viewing 37—38
Tesser, A. 136
Test(s) See specific tests
Tetrachoric correlation 30 445—446
Tetrad difference 244 304
Theory construction 3 5—6 48
Thompson, B. 294—296
Thompson, W.O. 153
Thorngate, W.B. 25
Thurstone's criteria for simple structure 361
Thurstone's scaling properties 59 143
Thurstone, L.L. 59 143 361 374 378 311
Time-sharing system 388
Timm, N.H. 116 132 345
Tisak, J. 280 285 287—288 480
Toothaker, L.E. 190
Trace statistics 231—232 257 280 557—559
Trace, of matrix 159
Traits, centrality of 68
Transformations, Arcsin, of proportions 480
Transformations, crossover interactions and 450
Transformations, F ratio and 552
Transformations, linear, invariance of r under 269
Transformations, monotonic 447
Transformations, of data 446—447
Transformations, of factor revelation 372 378—381 562
Transformations, orthogonal 356
Transformations, PCA as 332 352
Transformations, reasonable monotonic 448
Transformations, rotations See Rotation
Transformations, significance testing and 455
Transformations, standard-score 541
Transformations, to handle nonlinearity 61 453—455
Transpose, of matrix 488 499
Trend contrasts 177—180
Trendafilov, N.T. 422
Triangular decomposition (TDA) 43 405—406 409
Trichotomous coding 32n
Trigonometric solutions 323 360 515
Tryon, R.C. 409 480
Tukey's test 217 239
Tukey, J.W. 1 3 76 217
Turtle, W.A. 113—114
Type I error 2 11n 9 13 19—21 105 210 215 222 233 408
Type I error, Bonferroni approach and 13 216
Type I error, contrasts and 192
Type I error, experimentwise See Experimentwise error rate
Type I error, F ratio and 189
Type I error, for Manova on retained PCs 348
Type I error, inflation of 480
Type I error, p-values 189
Type I error, per-experiment 533
Type I error, restricted comparison and 238
Type I error, univariate t tests and 210
Type II error 2 160
U statistic 231 234—237 280
U statistic, approximations to 232
U statistic, gcr tests and 232—237
U-shaped distributions 451
Unbiased estimation 75 79 85 111
Unbiased estimation, regression coefficients as 79
Uncorrelated variables 197
Union-intersection principle 12 12n 146 156—158 221 234 238 232
UNIQUE specification in SPSS MANOVA 256
Uniqueness of PCs 332 326—327
Uniqueness of variables 334 403 420 434
Units, of measure 175
Unity weights vs. regression weights 79—80
Univariate analysis 210—215 215t 221 224 248t 252—257
Univariate analysis, design for 11
Univariate analysis, protected 233 244
Univocality of factor score estimates 413—414 413t
Unweighted-means Anova 113—114 545
Usefulness, of variables 83 106—107 110t
Validity of factor-scoring methods 412—415
Van de Geer, J.P. 6 68
Van den Wollenberg, A.L. 35 294
VanZyl, T. 113—114
Variables 245. See also specific type specific
Variables, combined 12 16t 16n 17 22 25 27 35 222—224 247 251 263 267
Variables, communalities of 358 361—363 368 387 397—403
Variables, composite 60 62 109—110
Variables, contribution of 68 69 95 105—110
Variables, deletion method 170
Variables, dichotomous 444—445
Variables, dimensionality of 397
Variables, emergent 472
Variables, factorial complexity / composition of 409 413—415 430
Variables, factors, defined 320—321
Variables, fixed 26
Variables, generating 318 328 330 332—333
Variables, group-membership 318 544
Variables, hierarchical ordering of 327
Variables, independent See Independent variables
Variables, intercorrelations among 166 300
Variables, interpretations of 360
Variables, latent See Latent variables
Variables, level(s) of 493—497
Variables, level-membership 113—114
Variables, linear combinations See Linear combinations
Variables, loadings of 109 320 322 326—327 340—346 355 359
Variables, manifest / observable 464
Variables, manipulated 10 31 39—40
Variables, nonlinear relationships among 399 402 444
Variables, normally distributed 317
Variables, organismic 78
Variables, predictors See Predictors
Variables, random 26
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