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Myers J.L., Well A.D. Ч Research design and statistical analysis
Myers J.L., Well A.D. Ч Research design and statistical analysis



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Ќазвание: Research design and statistical analysis

јвторы: Myers J.L., Well A.D.

јннотаци€:

Adopting an intuitive, informal style, this text emphasizes the statistical concepts and assumptions needed to describe and make inferences about real data. The volume's 21 chapters address topics including univariate distributions; the chi-square and F distributions; contrasts among means; trend analysis; repeated- measures designs; hierarchical designs; Latin squares and related designs; correlation and bivariate regression; and multiple regression. Includes major content and organizational revisions from the previous edition. Suitable for graduate and advanced undergraduate students learning about data analysis, as well as for researchers.


язык: en

–убрика: ћатематика/¬еро€тность/—татистика и приложени€/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: second edition

√од издани€: 2003

 оличество страниц: 760

ƒобавлена в каталог: 05.06.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$SS_{A(adj)}$, $SS_{S/A(adj)}$ and $SS_{total(adj)}$      418Ч420 see
Achen, C.H.      484Ч485 729
Additivity      298Ч299 345Ч348 see
Adjusted (shrunken) squared multiple correlation coefficient      200Ч201 577Ч580
Adjusted total sum of squares      see Analysis of covariance
Ager, J.W.      217 729
Alexander, R.A.      224 548 729 731
Alf, E.F.      587 729
Algina, J.      225 360Ч361 363 587 729 731 737
Alpha      83Ч84
Analysis of covariance (Ancova)      6 412Ч432
Analysis of covariance (ANCOVA) in higher-order designs      431
Analysis of covariance (ANCOVA), $SS_{A(adj)},SS_{S/A(adj)}$, and $SS_{total(adj)}$      418Ч420
Analysis of covariance (ANCOVA), adjusted means      419 421
Analysis of covariance (ANCOVA), assumptions      422Ч427
Analysis of covariance (ANCOVA), compared to ANOVA      414Ч415
Analysis of covariance (ANCOVA), compared with treatment by blocks design      414 428Ч430
Analysis of covariance (ANCOVA), contrasts in ANCOVA      421Ч422
Analysis of covariance (ANCOVA), explanation of terms in ANOVA table      420 (table)
Analysis of covariance (ANCOVA), full and restricted models      416Ч417
Analysis of covariance (ANCOVA), homogeneity of slopes, testing      427Ч428
Analysis of covariance (ANCOVA), Johnson Ч Neyman technique      424
Analysis of covariance (ANCOVA), more than one covariate      431Ч432
Analysis of covariance (ANCOVA), nonequivalent-groups design      425Ч426
Analysis of covariance (ANCOVA), polynomial analysis of covariance      432
Analysis of covariance (ANCOVA), testing homogeneity of regression slopes      427Ч428 630Ч631
Analysis of covariance (ANCOVA), using multiple regression      630Ч634
Analysis of variance (ANOVA), effect size      see Effect size
Analysis of variance (ANOVA), hierarchical designs      436Ч453
Analysis of variance (ANOVA), hierarchical designs, calculating sums of squares for nested terms      456
Analysis of variance (ANOVA), hierarchical designs, groups versus individuals      443Ч445
Analysis of variance (ANOVA), hierarchical designs, groups versus individuals, pseudogroup procedure      444
Analysis of variance (ANOVA), hierarchical designs, groups versus individuals, quasi-F procedure      444Ч445
Analysis of variance (ANOVA), hierarchical designs, groups-within-treatments design      436Ч449
Analysis of variance (ANOVA), hierarchical designs, groups-within-treatments design, using a within-groups variable      445Ч448
Analysis of variance (ANOVA), hierarchical designs, groups-within-treatments design, using repeated measurements      448Ч449
Analysis of variance (ANOVA), hierarchical designs, items-within-treatments design      436 449Ч452
Analysis of variance (ANOVA), hierarchical designs, nesting      437
Analysis of variance (ANOVA), hierarchical designs, partitioning the variance and df      437Ч440
Analysis of variance (ANOVA), hierarchical designs, pooling group and subject variances      441Ч443
Analysis of variance (ANOVA), hierarchical designs, structural model and expected mean squares      440Ч442
Analysis of variance (ANOVA), Latin squares and related designs      457Ч477
Analysis of variance (ANOVA), Latin squares and related designs replicated Latin square design      469Ч474
Analysis of variance (ANOVA), Latin squares and related designs, digram balanced design      474Ч476
Analysis of variance (ANOVA), Latin squares and related designs, Greco-Latin square designs      476Ч477
Analysis of variance (ANOVA), Latin squares and related designs, incorporating several treatment effects into a single square      468Ч469
Analysis of variance (ANOVA), Latin squares and related designs, missing scores, estimating      465
Analysis of variance (ANOVA), Latin squares and related designs, nonadditivity      465Ч467
Analysis of variance (ANOVA), Latin squares and related designs, relative efficiency      464Ч465
Analysis of variance (ANOVA), Latin squares and related designs, selecting a Latin square      459Ч461
Analysis of variance (ANOVA), Latin squares and related designs, single Latin square      461
Analysis of variance (ANOVA), Latin squares and related designs, standard square      459
Analysis of variance (ANOVA), Latin squares and related designs, structural model      462Ч463
Analysis of variance (ANOVA), mixed designs      386Ч408
Analysis of variance (ANOVA), mixed designs, contrasting means      397Ч401
Analysis of variance (ANOVA), mixed designs, crossed factors      389Ч390
Analysis of variance (ANOVA), mixed designs, nested factors      389Ч390
Analysis of variance (ANOVA), mixed designs, one between-subjects and two within-subjects design      406Ч407
Analysis of variance (ANOVA), mixed designs, partitioning the variance and df      388Ч390
Analysis of variance (ANOVA), mixed designs, pretest-posttest designs      402Ч403
Analysis of variance (ANOVA), mixed designs, simple effects      401Ч402
Analysis of variance (ANOVA), mixed designs, structural model and expected mean squares      390Ч392
Analysis of variance (ANOVA), mixed designs, two between-subjects and one within-subjects factor      403Ч406
Analysis of variance (ANOVA), multifactor between-subjects designs      284Ч336
Analysis of variance (ANOVA), multifactor between-subjects designs, interactions      284 289Ч291 298-300 325-329
Analysis of variance (ANOVA), multifactor between-subjects designs, main effects      289Ч293 307 325
Analysis of variance (ANOVA), multifactor between-subjects designs, nonparametric procedures      372Ч377
Analysis of variance (ANOVA), multifactor between-subjects designs, pooling      332Ч334
Analysis of variance (ANOVA), multifactor between-subjects designs, simple effects      302Ч305
Analysis of variance (ANOVA), multifactor between-subjects designs, simple effects and interactions      304Ч305
Analysis of variance (ANOVA), multifactor between-subjects designs, structural model and expected mean squares      295Ч296
Analysis of variance (ANOVA), multifactor between-subjects designs, three-factor designs      324Ч332
Analysis of variance (ANOVA), multifactor between-subjects designs, trend analysis      305Ч309
Analysis of variance (ANOVA), multifactor between-subjects designs, with unequal cell sizes      319Ч324 623Ч629
Analysis of variance (ANOVA), one-factor between-subjects design      191Ч232
Analysis of variance (ANOVA), one-factor between-subjects design, nonparametric procedures      219Ч220
Analysis of variance (ANOVA), one-factor between-subjects design, partitioning the variance and df      196Ч197
Analysis of variance (ANOVA), one-factor between-subjects design, structural model and expected mean squares      201Ч204
Analysis of variance (ANOVA), one-factor between-subjects design, with unequal group sizes      204
Analysis of variance (ANOVA), power      see Power
Analysis of variance (ANOVA), repeated-measures designs      342Ч378
Analysis of variance (ANOVA), repeated-measures designs, $S\times A$ design      345
Analysis of variance (ANOVA), repeated-measures designs, additive model      345
Analysis of variance (ANOVA), repeated-measures designs, assumption of sphericity      355Ч357
Analysis of variance (ANOVA), repeated-measures designs, epsilon-adjusted F test      357Ч361
Analysis of variance (ANOVA), repeated-measures designs, MANOVA      359Ч361
Analysis of variance (ANOVA), repeated-measures designs, missing scores, estimating      349Ч350 465
Analysis of variance (ANOVA), repeated-measures designs, multifactor repeated-measures design      364Ч370
Analysis of variance (ANOVA), repeated-measures designs, multifactor repeated-measures design, $S\times A\times B$ design, A and B fixed      364Ч367
Analysis of variance (ANOVA), repeated-measures designs, multifactor repeated-measures design, $S\times A\times B$ design, A fixed and B random      367Ч370
Analysis of variance (ANOVA), repeated-measures designs, nonadditive model      352Ч359
Analysis of variance (ANOVA), repeated-measures designs, Tukey's test for nonadditivity      350Ч352
Analysis of variance (ANOVA), treatment x blocks design      335 412Ч414
Analysis of variance (ANOVA), treatment x blocks design, blocks, fixed- or random-effects?      724Ч725
Analysis of variance (ANOVA), treatment x blocks design, compared with Analysis of covariance      428Ч430
Analysis of variance (ANOVA), trend analysis      see Trend analysis
Anderson, L.R.      217 729
Anscombe's data sets      47 535Ч536
Anscombe, F.J.      47 351Ч352 535Ч536 729
Appelbaum, M.I.      323 626 729 731
Arvey, R.D.      209 736
Assumptions, analysis of covariance      422Ч427
Assumptions, bivariate normality in inference about correlation      489Ч490 493Ч496
Assumptions, consequences of violations      86Ч89 151Ч152
Assumptions, homogeneity of variance (homoscedasticity)      158Ч161
Assumptions, homogeneity of variance (homoscedasticity) for ANOVA      202 220Ч223
Assumptions, homogeneity of variance (homoscedasticity) for ANOVA, alternative tests when not satisfied      224Ч226
Assumptions, homogeneity of variance (homoscedasticity) for contrasts      239Ч241
Assumptions, homogeneity of variance (homoscedasticity) for regression      522 540Ч541
Assumptions, independence      65 86Ч88 96Ч97 123Ч124
Assumptions, independence in ANOVA      216Ч217
Assumptions, independence in bivariate regression      541Ч542
Assumptions, normality      124 178 184Ч185
Assumptions, normality in ANOVA      217 287Ч288
Assumptions, regression      522 531Ч532
Assumptions, sphericity in repeated-measures ANOVA      355Ч357
Atiqullah, M.      423 729
Autocorrelation plots      217Ч218
Backward elimination      592 see
Balanda, K.P.      32 729
Bancroft, T.A.      333 442 730 736
bar graphs      25
Bartlett, M.S.      222 729
Barton, C.N.      363 737
Bayes' rule      70 97Ч99
Belanger, A.      185
Belsley, D.A.      546 585 597 729
Bergman, E.T.      339 739
Bernoulli trials      75
Beta      83Ч84 568 726
Between-groups mean square      195 198
Between-subjects designs      165 191Ч192
Bevan, M.F.      217
Binomial distribution      see Distributions
Bishop, Y.M.M.      173 730
Bivariate normal distribution      see Distributions
Bivariate regression      see Regression
Blair, R.C.      86 122 374 730 739
Bless, H.      340 730
Blocking      6 see
BLUE (best linear unbiased estimators)      726
BMI (body mass index)      726
Bohner, G.      340 730
Boik, R.J.      361 730
Bollen, K.A.      593 730
Bonferroni adjustment      245 see
Bonferroni inequality      245
Bootstrapping      494Ч496
Borden, V.M.      376 737
Bower, G.H.      179 730
Box plots      17Ч18
Box plots, inner and outer fences      16Ч17
Box, G.E.P.      357Ч358 730 735
Bozivich, H.      333 442 473 730 740
Bray, J.H.      370 736
Brodbeck, F.C.      436 730
Brown Ч Forsythe test      161 185 222Ч223 723
Brown, M.B.      161 185 222 224 226 257 287 723 730
Bryk, A.S.      551 730
Buchner, A.      149 732
Calibration sample      see Cross-validation
Camp, C.J.      209 736
Capitalization on chance      see Regression
Carlson, J.E.      323 730
Carryover effects      459
Castellan, N.J.      508 510
Centered leverage      585 726 see
Centering      598 see
Central limit theorem      103
Central tendency      11
Chan, Y.      11 739
Chen, Z.      61 75 84 737
Chi-square distribution      see Distributions
Church, J.D.      223 730
Clark, H.H.      370 730
Clark, V.A.      501 732
Clemm, D.S.      250 733
Cleveland, W.      42 730
Clinch, J.J.      221Ч222 225 730 733
Cochran's Q test      376Ч377
Cochran, W.G.      222 376 476 531Ч532 730 740
Coding of categorical variables      615Ч637 727 see
Coefficient of determination, $r^2$      54Ч55
Coefficient of multiple determination, $R^2$      200Ч201 565Ч580 see
Coefficient of multiple determination, $R^2$, adjusted or shrunken $R^2$      200Ч201 577Ч580
Cohen's d, f and $f^2$      see Effect size
Cohen's guidelines for effect size      see Effect size
Cohen, J.      46 121 134Ч135 146 156Ч157 201 206 209Ч210 212 214 317Ч318 395 491 588 722 726 731
Collinearity      see Multicollinearity Regression
Combination      76 95Ч96
Combining data across groups      487Ч488
Comparisons among means      see Contrasts among means
Completely randomized designs      191
Compound symmetry      356Ч357
Computational formulas      50 197 231Ч232
Concomitant variable      412
Confidence intervals, relation to hypothesis tests      122Ч123
Confidence intervals, simultaneous confidence intervals      246
Confidence intervals, using the chi-square distribution to test hypotheses about variance      176Ч177
Confidence intervals, using the F distribution, for the ratio of two variances      182Ч184
Confidence intervals, using the F distribution, relation between the confidence interval and hypothesis test      190
Confidence intervals, using the normal distribution for correlations      see Correlation
Confidence intervals, using the normal distribution for the difference between means of correlated samples      117Ч119
Confidence intervals, using the normal distribution for the difference between means of independent samples      125Ч126
Confidence intervals, using the normal distribution for the mean of a population distribution      113Ч114
Confidence intervals, using the normal distribution for the population correlation, $\rho$      492Ч493 494
Confidence intervals, using the normal distribution for the squared multiple correlation coefficient      585Ч587
Confidence intervals, using the t distribution for contrasts      162Ч165
Confidence intervals, using the t distribution for the difference between means of correlated samples      143Ч145
Confidence intervals, using the t distribution for the difference between means of independent samples      155
Confidence intervals, using the t distribution for the mean of a population distribution      143Ч145
Confidence intervals, using the t distribution, inference about correlations      see Correlation
Confidence intervals, using the t distribution, inference about regression coefficients      581Ч582 see
Confounding      4 466
Conover, W.J.      219 372Ч373 731 735
Contrasts among means      161Ч165 233Ч260 297Ч298 300-303 361Ч362 397Ч401 421Ч422
Contrasts among means in analysis of covariance      421Ч422
Contrasts among means in repeated-measures designs      161Ч163 361Ч362
Contrasts among means, controlling Type 1 error      241Ч258 261
Contrasts among means, controlling Type 1 error for comparisons of treatment means with a control, Dunnett's test      255Ч256
Contrasts among means, controlling Type 1 error for tests of all pairwise contrasts, comparing the tests      254Ч155 261
Contrasts among means, controlling Type 1 error for tests of all pairwise contrasts, Dunnett's T3 test      252 723
Contrasts among means, controlling Type 1 error for tests of all pairwise contrasts, Fisher Ч Hayter test      252Ч254
Contrasts among means, controlling Type 1 error for tests of all pairwise contrasts, Fisher's LSD test      252
Contrasts among means, controlling Type 1 error for tests of all pairwise contrasts, Games Ч Howell test, when variances are unequal      251Ч252 723
Contrasts among means, controlling Type 1 error for tests of all pairwise contrasts, Tukey Ч Kramer test when n's are unequal      250Ч251
Contrasts among means, controlling Type 1 error for tests of all pairwise contrasts, Tukey's HSD test      248Ч250
Contrasts among means, controlling Type 1 error for tests of families of planned contrasts, Bonferroni, or Dunn Ч Bonferroni method      244Ч246
Contrasts among means, controlling Type 1 error for tests of families of planned contrasts, Sidak or Dunn Ч Sidak method      246
Contrasts among means, controlling Type 1 error for tests of general post hoc contrasts, Scheffe's test      256Ч257
Contrasts among means, definition      161 234Ч235
Contrasts among means, error rate per contrast (EC)      242
Contrasts among means, examples of      235
Contrasts among means, family      241
Contrasts among means, familywise error rate (FWE)      234 242
Contrasts among means, independent-groups      163Ч165 233Ч260
Contrasts among means, interaction contrasts in multifactonal designs      300Ч303
Contrasts among means, main effect contrasts in multifactorial designs      297Ч298
Contrasts among means, mixed-design contrasts      397Ч401
Contrasts among means, orthogonal contrasts      259Ч260
Contrasts among means, pairwise comparisons      235
Contrasts among means, planned versus post hoc contrasts      234 243Ч244
Contrasts among means, simultaneous confidence intervals for      246
Contrasts among means, standardized      162 164
Contrasts among means, sum of squares associated with a contrast      258
Contrasts among means, summary      261 (table)
Contrasts among means, weighting when ns are unequal      237Ч239
Cook's distance      546Ч547 585
Cook, A.E.      469 471 473 731
Cook, R.D.      42 547 585 731
Coombs, W.T.      225Ч226 731
Corbett, A.T.      282
Correction for attenuation of correlation      486
Correlated groups      see also Confidence intervals or Hypothesis tests
Correlated groups or independent groups      165Ч167
Correlation      44Ч51 480Ч512
Correlation, biserial correlation coefficient      505 507
Correlation, Goodman Ч Kruskal gamma coefficient      505 508Ч511
Correlation, inference about correlation      489Ч501
Correlation, inference about correlation, bivariate normality      489Ч490
Correlation, inference about correlation, bootstrapping      494Ч496
Correlation, inference about correlation, confidence intervals for $\rho$      492Ч493 494
Correlation, inference about correlation, Fisher Z transform      492 725Ч726
Correlation, inference about correlation, inference about correlation matrices      499Ч501
Correlation, inference about correlation, inference about dependent correlations with MULTICORR      501
Correlation, inference about correlation, inference about independent correlations      497Ч499
Correlation, inference about correlation, inference about partial and part correlations      503Ч504
Correlation, inference about correlation, model for inference in correlation      489Ч491
Correlation, inference about correlation, power      495Ч496 498 see
Correlation, inference about correlation, testing the hypothesis $H_0$: $\rho=0$      491Ч493
Correlation, inference about correlation, what if the assumption is violated?      493Ч496
Correlation, Kendall tau coefficient      505 508Ч512
Correlation, multiple correlation coefficient      see Regression
Correlation, partial and part (semipartial) correlations      501Ч504 512
Correlation, Pearson coefficient, r, defined      44Ч45
Correlation, Pearson coefficient, r, defined, as sample-specific measure      480Ч485
Correlation, Pearson coefficient, r, defined, combining data across groups      487Ч488
Correlation, Pearson coefficient, r, defined, constraints in sets of correlations      504
Correlation, Pearson coefficient, r, defined, correction for attenuation      486
Correlation, Pearson coefficient, r, defined, ecological correlations      488Ч489
Correlation, Pearson coefficient, r, defined, estimate, adjusting for $s_X$      484
Correlation, Pearson coefficient, r, defined, influence plot      48 50
Correlation, Pearson coefficient, r, defined, interpretation of      46Ч48 481Ч489
Correlation, Pearson coefficient, r, defined, measurement error and      485Ч486
Correlation, Pearson coefficient, r, defined, other ways of expressing      48 50
Correlation, Pearson coefficient, r, defined, restriction of range      481Ч485
Correlation, Pearson coefficient, r, defined, size, and slope and standard error      481Ч495
Correlation, Pearson coefficient, r, defined, size, and variability in X and Y      481Ч485
Correlation, phi coefficient      505Ч507 512
Correlation, point-biserial correlation coefficient      505 512
Correlation, Spearman rho coefficient      48 505 508Ч509 511Ч512
Correlation, standard error of estimate in regression      481 see
Correlation, tetrachoric correlation coefficient      505 507 509(table)Ч511
Correlational study      3
Covariance      50
Covariate      see Analysis of covariance
Cox, G.M.      476 730
Cramer, E.M.      323 626 729 731
Cronbach, L.J.      403 731
Cross comparisons      300Ч302
1 2 3 4
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