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Parallel analysis

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Parallel analysis is regarded as one of the more accurate methods for determining the number of factors or components to retain. Since its original publication, multiple variations of parallel analysis have been proposed. Other methods of determining the number of factors or components to retain in
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Crawford, Aaron V.; Green, Samuel B.; Levy, Roy; Lo, Wen-Juo; Scott, Lietta; Svetina, Dubravka; Thompson, Marilyn S. (September 2010). "Evaluation of Parallel Analysis Methods for Determining the Number of Factors".
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provided both theoretical and empirical evidence that parallel analysis's application might not be appropriate in many cases since its performance is influenced by
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Hayton, James C.; Allen, David G.; Scarpello, Vida (29 June 2016). "Factor Retention Decisions in Exploratory Factor Analysis: a Tutorial on Parallel Analysis".
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Glorfeld, Louis W. (2 July 2016). "An Improvement on Horn's Parallel Analysis Methodology for Selecting the Correct Number of Factors to Retain".
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Tran, U. S.; Formann, A. K. (2009). "Performance of parallel analysis in retrieving unidimensionality in the presence of binary data".
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Zwick, William R.; Velicer, Wayne F. (1986). "Comparison of five rules for determining the number of components to retain".
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Velicer, W.F. (1976). "Determining the number of components from the matrix of partial correlations".
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Horn, John L. (June 1965). "A rationale and test for the number of factors in factor analysis".
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Exploratory factor analysis § Selecting the appropriate number of factors
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generated from the data matrix to the eigenvalues generated from a
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Behavior Research Methods, Instruments, & Computers
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The SAGE Encyclopedia of Communication Research Methods
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It is named after psychologist 673: 579:Huang, Francis (3 March 2015). 417:Organizational Research Methods 1: 158:Marchenko-Pastur distribution 18:Horn's parallel analysis 689:. You can help Knowledge by 220:Mike Allen (11 April 2017). 36:principal component analysis 288:10.1177/0013164495055003002 40:exploratory factor analysis 762: 668: 261:10.1037/0033-2909.99.3.432 510:Revelle, William (2007). 38:or factors to keep in an 429:10.1177/1094428104263675 394:10.1177/0013164408318761 324:10.1177/0013164410379332 69:an analysis include the 32:Horn's parallel analysis 736:Multivariate statistics 89:correlation coefficient 685:-related article is a 650:Cite journal requires 614:Cite journal requires 530:Cite journal requires 249:Psychological Bulletin 121:R programming language 58:Monte-Carlo simulated 85:item discrimination 488:10.3758/BF03200807 359:10.1007/bf02293557 191:10.1007/bf02289447 698: 697: 450:O'Connor, Brian. 233:978-1-4833-8142-8 28:Parallel analysis 16:(Redirected from 753: 746:Statistics stubs 719: 712: 705: 677: 670: 660: 659: 653: 648: 646: 638: 630: 624: 623: 617: 612: 610: 602: 600: 591: 585: 584: 576: 570: 569: 561: 555: 554: 546: 540: 539: 533: 528: 526: 518: 516: 507: 501: 500: 490: 466: 460: 459: 456:people.ok.ubc.ca 447: 441: 440: 412: 406: 405: 377: 371: 370: 342: 336: 335: 306: 300: 299: 271: 265: 264: 244: 238: 237: 217: 211: 210: 174: 123:, including the 30:, also known as 21: 761: 760: 756: 755: 754: 752: 751: 750: 741:Factor analysis 726: 725: 724: 723: 666: 664: 663: 649: 639: 632: 631: 627: 613: 603: 598: 594:Dinno, Alexis. 593: 592: 588: 578: 577: 573: 563: 562: 558: 548: 547: 543: 529: 519: 514: 509: 508: 504: 468: 467: 463: 449: 448: 444: 414: 413: 409: 379: 378: 374: 344: 343: 339: 308: 307: 303: 273: 272: 268: 246: 245: 241: 234: 219: 218: 214: 176: 175: 171: 166: 144: 97: 66: 23: 22: 15: 12: 11: 5: 759: 757: 749: 748: 743: 738: 728: 727: 722: 721: 714: 707: 699: 696: 695: 678: 662: 661: 652:|journal= 625: 616:|journal= 586: 571: 556: 541: 532:|journal= 502: 481:(3): 396–402. 461: 442: 423:(2): 191–205. 407: 372: 353:(3): 321–327. 337: 318:(6): 885–901. 301: 282:(3): 377–393. 266: 255:(3): 432–442. 239: 232: 212: 185:(2): 179–185. 168: 167: 165: 162: 161: 160: 155: 150: 143: 140: 96: 95:Implementation 93: 87:, and type of 65: 62: 24: 14: 13: 10: 9: 6: 4: 3: 2: 758: 747: 744: 742: 739: 737: 734: 733: 731: 720: 715: 713: 708: 706: 701: 700: 694: 692: 688: 684: 679: 676: 672: 667: 657: 644: 636: 629: 626: 621: 608: 597: 590: 587: 582: 575: 572: 567: 560: 557: 552: 545: 542: 537: 524: 513: 506: 503: 498: 494: 489: 484: 480: 476: 472: 465: 462: 457: 453: 446: 443: 438: 434: 430: 426: 422: 418: 411: 408: 403: 399: 395: 391: 387: 383: 376: 373: 368: 364: 360: 356: 352: 348: 347:Psychometrika 341: 338: 333: 329: 325: 321: 317: 313: 305: 302: 297: 293: 289: 285: 281: 277: 270: 267: 262: 258: 254: 250: 243: 240: 235: 229: 225: 224: 216: 213: 208: 204: 200: 196: 192: 188: 184: 180: 179:Psychometrika 173: 170: 163: 159: 156: 154: 151: 149: 146: 145: 141: 139: 137: 133: 129: 126: 122: 118: 114: 110: 106: 102: 94: 92: 90: 86: 82: 78: 77:Anton Formann 74: 72: 63: 61: 59: 55: 51: 50: 49:Psychometrika 45: 41: 37: 33: 29: 19: 691:expanding it 680: 665: 643:cite journal 628: 607:cite journal 589: 574: 559: 544: 523:cite journal 505: 478: 474: 464: 455: 445: 420: 416: 410: 385: 381: 375: 350: 346: 340: 315: 311: 304: 279: 275: 269: 252: 248: 242: 222: 215: 182: 178: 172: 135: 131: 127: 124: 98: 75: 67: 47: 44:John L. Horn 31: 27: 26: 81:sample size 54:eigenvalues 730:Categories 683:statistics 164:References 148:Scree plot 138:packages. 71:scree plot 402:143051337 388:: 50–61. 367:122907389 296:123508406 497:11029811 437:61286653 332:63269411 207:19663974 199:14306381 142:See also 128:multicon 495:  435:  400:  365:  330:  294:  230:  205:  197:  134:, and 132:hornpa 117:MATLAB 115:, and 681:This 599:(PDF) 515:(PDF) 433:S2CID 398:S2CID 363:S2CID 328:S2CID 292:S2CID 203:S2CID 136:paran 125:psych 113:STATA 687:stub 656:help 620:help 536:help 493:PMID 228:ISBN 195:PMID 105:SPSS 101:JASP 483:doi 425:doi 390:doi 355:doi 320:doi 284:doi 257:doi 187:doi 109:SAS 732:: 647:: 645:}} 641:{{ 611:: 609:}} 605:{{ 527:: 525:}} 521:{{ 491:. 479:32 477:. 473:. 454:. 431:. 419:. 396:. 386:69 384:. 361:. 351:41 349:. 326:. 316:70 314:. 290:. 280:55 278:. 253:99 251:. 201:. 193:. 183:30 181:. 130:, 111:, 107:, 103:, 91:. 83:, 718:e 711:t 704:v 693:. 658:) 654:( 637:. 622:) 618:( 601:. 583:. 568:. 553:. 538:) 534:( 517:. 499:. 485:: 458:. 439:. 427:: 421:7 404:. 392:: 369:. 357:: 334:. 322:: 298:. 286:: 263:. 259:: 236:. 209:. 189:: 20:)

Index

Horn's parallel analysis
principal component analysis
exploratory factor analysis
John L. Horn
Psychometrika
eigenvalues
Monte-Carlo simulated
scree plot
Anton Formann
sample size
item discrimination
correlation coefficient
JASP
SPSS
SAS
STATA
MATLAB
R programming language
Scree plot
Exploratory factor analysis § Selecting the appropriate number of factors
Marchenko-Pastur distribution
doi
10.1007/bf02289447
PMID
14306381
S2CID
19663974
The SAGE Encyclopedia of Communication Research Methods
ISBN
978-1-4833-8142-8

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