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Blinder–Oaxaca decomposition

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31: 768: 455: 763:{\displaystyle {\begin{aligned}(3)\qquad &\operatorname {mean} (\ln({\text{wages}}_{A}))-\operatorname {mean} (\ln({\text{wages}}_{B}))\\={}&b_{A}\operatorname {mean} (X_{A})-b_{B}\operatorname {mean} (X_{B})\\={}&b_{A}(\operatorname {mean} (X_{A})-\operatorname {mean} (X_{B}))+\operatorname {mean} (X_{B})(b_{A}-b_{B})\end{aligned}}} 371: 805:
found in a paper entitled, "School Quality and Black-White Relative Earnings: A Direct Assessment" that improvements in the quality of schools for Black men born in the Southern states of the United States between 1915 and 1966 increased the return to education for these men, leading to narrowing of
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coefficient reflected a difference in the quality of education for Black workers which could have otherwise been interpreted as an effect of direct discrimination; differences in the quality of education for Black workers would reflect historical or 'indirect' discrimination against them.
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who proposed a similar approach in the same year. Oaxaca's original research question was the wage differential between two different groups of workers (male vs. female), but the method has since been applied to numerous other topics.
460: 797:(against women in Oaxaca's application). This is because other explanatory variables not included in the regression (e.g. because they are unobserved) may also account for wage differences. For example, 366:{\displaystyle {\begin{aligned}(1)\qquad \ln({\text{wages}}_{A_{i}})&=X_{A_{i}}\beta _{A}+\mu _{A_{i}}\\(2)\qquad \ln({\text{wages}}_{B_{i}})&=X_{B_{i}}\beta _{B}+\mu _{B_{i}}\end{aligned}}} 162: 793:
The unexplained differential in wages for the same values of explanatory variables should not be interpreted as the amount of the difference in wages due only to
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Using Blinder-Oaxaca decomposition one can distinguish between "change of mean" contribution (purple) and "change of effect" contribution
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the black-white earnings gap. In terms of wage regressions, the poor quality of schools for Black men had meant a lower value of the
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between two groups by decomposing the gap into within-group and between-group differences in the effect of the explanatory variable.
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Oaxaca and Sierminska argued that the Blinder–Oaxaca decomposition is a generalization of the Kitagawa decomposition.
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The first part of the last line of (3) is the impact of between-group differences in the explanatory variables
781:. The second part is the differential not explained by these differences in observed characteristics  136: 30: 1167: 446: 403: 119: 965:
Analyzing Health Equity Using Household Survey Data: A Guide to Techniques and Their Implementation
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is a vector of explanatory variables such as education, experience, industry, and occupation,
1066:"MIT Graduate Labor Economics 14.662 Spring 2015 Lecture Note 1: Wage Density Decompositions" 989: 810:
coefficient on years of schooling for Black men than for White men. Thus, some of this lower
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The following three equations illustrate this decomposition. Estimate separate linear wage
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and eventually published in 1973. The decomposition technique also carries the name of
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Blinder, A. S. (1973). "Wage Discrimination: Reduced Form and Structural Estimates".
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Oaxaca, R. (1973). "Male-Female Wage Differentials in Urban Labor Markets".
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Kitagawa, Evelyn M. (1955). "Components of a Difference Between Two Rates".
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introduced this method in economics in his doctoral thesis at
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Cahuc, Pierre; Carcillo, Stéphane; Zylberberg, André (2014).
961:"Explaining Differences between Groups: Oaxaca Decomposition" 87: 81: 72: 1071:. Massachusetts Institute of Technology: MIT OpenCourseWare. 57: 110:
The method was introduced by sociologist and demographer
1107:"Decomposition Methods: The Case of the Gender Wage Gap" 1086:(Second ed.). Boston: Irwin McGraw-Hill. pp.  458: 160: 84: 69: 60: 63: 54: 51: 78: 75: 48: 1040:"Oaxaca-Blinder Meets Kitagawa: What Is the Link?" 762: 365: 1172:Journal of the American Statistical Association 854:Journal of the American Statistical Association 819:Differences between Kitagawa and Blinder–Oaxaca 967:. World Bank Publications. pp. 147–158. 777:, evaluated using the coefficients for group 8: 427:be respectively the regression estimates of 1113:. Cambridge: MIT Press. pp. 504–514. 1168:The Generalized Oaxaca-Blinder Estimator. 1131:; Lemieux, Thomas; Firpo, Sergio (2011). 747: 734: 718: 690: 665: 643: 635: 619: 600: 584: 565: 557: 538: 533: 499: 494: 459: 457: 449:in a linear regression is zero, we have: 351: 346: 333: 321: 316: 294: 289: 284: 252: 247: 234: 222: 217: 195: 190: 185: 161: 159: 1166:Kevin Guo & Guillaume Basse. 2021. " 959:O'Donnell, Owen A.; et al. (2008). 844: 7: 1133:"Decomposition Methods in Economics" 988:Card, David; Krueger, Alan (1992). 445:. Then, since the average value of 25: 1064:Autor, David (January 30, 2015). 398:are vectors of coefficients and 44: 1038:Oaxaca; Sierminska (May 2023). 472: 273: 174: 997:Quarterly Journal of Economics 833:Standardization (demographics) 753: 727: 724: 711: 699: 696: 683: 671: 658: 649: 625: 612: 590: 577: 547: 544: 529: 520: 508: 505: 490: 481: 469: 463: 302: 280: 270: 264: 203: 181: 171: 165: 1: 1150:10.1016/S0169-7218(11)00407-2 890:International Economic Review 1144:. Elsevier. pp. 1–102. 40:Oaxaca-Blinder decomposition 1138:Handbook of Labor Economics 1214: 1078:"Measuring Discrimination" 1076:Borjas, George J. (2000). 926:Journal of Human Resources 764: 367: 97:Kitagawa decomposition 35: 1049:. IZA DP No. (16188). 1047:IZA Discussion Papers 765: 368: 33: 456: 158: 120:Princeton University 18:Oaxaca decomposition 1193:Observational study 1188:Regression analysis 860:(272): 1168–1194. 760: 758: 363: 361: 112:Evelyn M. Kitagawa 105:dependent variable 36: 27:Statistical method 1159:978-0-444-53450-7 1120:978-0-262-02770-0 536: 497: 287: 188: 95:), also known as 16:(Redirected from 1205: 1198:Causal inference 1163: 1143: 1124: 1101: 1072: 1070: 1051: 1050: 1044: 1035: 1029: 1028: 994: 985: 979: 978: 956: 950: 949: 921: 915: 914: 884: 878: 877: 849: 769: 767: 766: 761: 759: 752: 751: 739: 738: 723: 722: 695: 694: 670: 669: 648: 647: 636: 624: 623: 605: 604: 589: 588: 570: 569: 558: 543: 542: 537: 534: 504: 503: 498: 495: 372: 370: 369: 364: 362: 358: 357: 356: 355: 338: 337: 328: 327: 326: 325: 301: 300: 299: 298: 288: 285: 259: 258: 257: 256: 239: 238: 229: 228: 227: 226: 202: 201: 200: 199: 189: 186: 139:for individuals 94: 93: 90: 89: 86: 83: 80: 77: 74: 71: 68: 65: 62: 59: 56: 53: 50: 21: 1213: 1212: 1208: 1207: 1206: 1204: 1203: 1202: 1178: 1177: 1160: 1141: 1127: 1121: 1111:Labor Economics 1104: 1098: 1083:Labor Economics 1075: 1068: 1063: 1060: 1058:Further reading 1055: 1054: 1042: 1037: 1036: 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148: 144: 140: 134: 124:Alan Blinder 109: 96: 39: 37: 137:regressions 1182:Categories 839:References 799:David Card 404:error term 143:in groups 1025:150859258 741:− 709:⁡ 681:⁡ 675:− 656:⁡ 610:⁡ 594:− 575:⁡ 527:⁡ 518:⁡ 512:− 488:⁡ 479:⁡ 447:residuals 344:μ 331:β 278:⁡ 245:μ 232:β 179:⁡ 114:in 1955. 827:See also 1088:362–366 1017:2118326 911:2525981 874:2281213 1156:  1117:  1094:  1023:  1015:  971:  946:144855 944:  909:  872:  402:is an 376:where 131:Method 1142:(PDF) 1069:(PDF) 1043:(PDF) 1021:S2CID 1013:JSTOR 993:(PDF) 942:JSTOR 907:JSTOR 870:JSTOR 535:wages 496:wages 286:wages 187:wages 103:of a 101:means 1154:ISBN 1115:ISBN 1092:ISBN 969:ISBN 801:and 706:mean 678:mean 653:mean 607:mean 572:mean 515:mean 476:mean 436:and 418:and 409:Let 389:and 147:and 38:The 1146:doi 1005:doi 1001:107 934:doi 899:doi 862:doi 1184:: 1170:" 1152:. 1135:. 1109:. 1090:. 1080:. 1045:. 1019:. 1011:. 999:. 995:. 963:. 940:. 928:. 905:. 895:14 893:. 868:. 858:50 856:. 785:. 524:ln 485:ln 406:. 275:ln 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Index

Oaxaca decomposition
A graph illustrating the decomposition.
/ˈblndərwɑːˈhɑːkɑː/
means
dependent variable
Evelyn M. Kitagawa
Ronald Oaxaca
Princeton University
Alan Blinder
regressions
error term
residuals
discrimination
David Card
Alan Krueger
Standardization (demographics)
doi
10.2307/2281213
JSTOR
2281213
International Economic Review
doi
10.2307/2525981
JSTOR
2525981
doi
10.2307/144855
JSTOR
144855
"Explaining Differences between Groups: Oaxaca Decomposition"

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