Knowledge (XXG)

Collider (statistics)

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is that the collider blocks the association between the variables that influence it. Thus, the collider does not generate an unconditional association between the variables that determine it.
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Ali, R. Ayesha; Richardson, Thomas S.; Spirtes, Peter; Zhange, Jiji (2012). "Towards characterizing Markov equivalence classes for directed acyclic graphs with latent variables".
270: 445: 192: 389: 75:, stratification, experimental design, or sample selection based on values of the collider creates a non-causal association between 57:
The causal variables influencing the collider are themselves not necessarily associated. If they are not adjacent, the collider is
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when it is causally influenced by two or more variables. The name "collider" reflects the fact that in
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Randomization and quasi-experimental research designs are not useful in overcoming collider bias.
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Proceedings of the Twenty-First Conference on Uncertainty in Artificial Intelligence (UAI2006)
188: 187:, Chapman & Hall/CRC monographs on statistics & applied probability, CRC, p. 70, 404: 345: 285: 224: 216: 87:). In the terminology of causal graphs, conditioning on the collider opens the path between 32: 35:, the arrow heads from variables that lead into the collider appear to "collide" on the 153: 434: 368: 349: 289: 229: 138: 24: 46: 363: 163: 143: 370:
Probabilistic reasoning in intelligent systems: networks of plausible inference
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Pearl, Judea (1986). "Fusion, Propagation and Structuring in Belief Networks".
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Greenland, Sander; Pearl, Judea; Robins, James M. (January 1999),
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To detect and manage collider bias, scholars have made use of
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that is the collider. They are sometimes also referred to as
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Variable that is causally influenced by two or more variables
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be controlled for when estimating causal associations.
367: 110:variables. Unlike colliders, confounder variables 8: 390:"Collider bias in economic history research" 271:"Causal Diagrams for Epidemiologic Research" 183:Hernan, Miguel A.; Robins, James M. (2010), 339: 253: 228: 175: 64:The result of having a collider in the 106:Colliders are sometimes confused with 7: 383: 381: 14: 446:Independence (probability theory) 71:Conditioning on the collider via 397:Explorations in Economic History 290:10.1097/00001648-199901000-00008 207:Julia M. Rohrer (2018-07-02). 1: 350:10.1016/0004-3702(86)90072-x 388:Schneider, Eric B. (2020). 472: 409:10.1016/j.eeh.2020.101356 230:21.11116/0000-0006-5734-E 328:Artificial Intelligence 119:directed acyclic graphs 149:Directed acyclic graph 54: 221:10.31234/osf.io/t3qub 49: 73:regression analysis 53:model of a collider 423:on April 11, 2024. 374:. Morgan Kaufmann. 55: 27:, a variable is a 194:978-1-4200-7616-5 85:Berkson's paradox 463: 456:Causal inference 451:Graphical models 425: 424: 419:. Archived from 394: 385: 376: 375: 373: 360: 354: 353: 343: 323: 317: 316: 275: 266: 260: 259: 257: 241: 235: 234: 232: 204: 198: 197: 185:Causal inference 180: 33:graphical models 471: 470: 466: 465: 464: 462: 461: 460: 431: 430: 429: 428: 392: 387: 386: 379: 362: 361: 357: 325: 324: 320: 273: 268: 267: 263: 243: 242: 238: 206: 205: 201: 195: 182: 181: 177: 172: 130: 17: 12: 11: 5: 469: 467: 459: 458: 453: 448: 443: 433: 432: 427: 426: 377: 355: 341:10.1.1.84.8016 334:(3): 241–288. 318: 261: 236: 199: 193: 174: 173: 171: 168: 167: 166: 161: 156: 154:Selection bias 151: 146: 141: 136: 129: 126: 41:inverted forks 15: 13: 10: 9: 6: 4: 3: 2: 468: 457: 454: 452: 449: 447: 444: 442: 439: 438: 436: 422: 418: 414: 410: 406: 402: 398: 391: 384: 382: 378: 372: 371: 365: 359: 356: 351: 347: 342: 337: 333: 329: 322: 319: 315: 311: 307: 303: 299: 295: 291: 287: 283: 279: 272: 265: 262: 256: 251: 247: 240: 237: 231: 226: 222: 218: 214: 210: 203: 200: 196: 190: 186: 179: 176: 169: 165: 162: 160: 159:Path analysis 157: 155: 152: 150: 147: 145: 142: 140: 139:Causal graphs 137: 135: 132: 131: 127: 125: 122: 120: 115: 113: 109: 104: 102: 98: 94: 90: 86: 82: 78: 74: 69: 67: 62: 60: 52: 48: 44: 42: 38: 34: 30: 26: 25:causal graphs 22: 441:Epidemiology 421:the original 400: 396: 369: 364:Pearl, Judea 358: 331: 327: 321: 284:(1): 37–48, 281: 278:Epidemiology 277: 264: 245: 239: 212: 202: 184: 178: 123: 116: 111: 105: 100: 96: 92: 88: 80: 76: 70: 63: 58: 56: 40: 28: 18: 164:Bad control 144:Confounding 435:Categories 403:: 101356. 170:References 108:confounder 59:unshielded 21:statistics 417:0014-4983 336:CiteSeerX 306:484244020 298:1044-3983 255:1207.1365 248:: 10–17. 134:Causality 366:(1988). 213:PsyArXiv 128:See also 29:collider 314:9888278 415:  338:  312:  304:  296:  191:  112:should 393:(PDF) 274:(PDF) 250:arXiv 413:ISSN 310:PMID 302:OCLC 294:ISSN 189:ISBN 99:and 91:and 79:and 66:path 37:node 23:and 405:doi 346:doi 286:doi 225:hdl 217:doi 51:SEM 19:In 437:: 411:. 401:78 399:. 395:. 380:^ 344:. 332:29 330:. 308:, 300:, 292:, 282:10 280:, 276:, 223:. 215:. 211:. 121:. 43:. 407:: 352:. 348:: 288:: 258:. 252:: 233:. 227:: 219:: 101:Y 97:X 93:Y 89:X 83:( 81:Y 77:X

Index

statistics
causal graphs
graphical models
node

SEM
path
regression analysis
Berkson's paradox
confounder
directed acyclic graphs
Causality
Causal graphs
Confounding
Directed acyclic graph
Selection bias
Path analysis
Bad control
ISBN
978-1-4200-7616-5
"Thinking Clearly About Correlations and Causation: Graphical Causal Models for Observational Data"
doi
10.31234/osf.io/t3qub
hdl
21.11116/0000-0006-5734-E
arXiv
1207.1365
"Causal Diagrams for Epidemiologic Research"
doi
10.1097/00001648-199901000-00008

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