Knowledge (XXG)

Matching (statistics)

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3115: 188: 3101: 3139: 3127: 202: 37:(i.e. when the treatment is not randomly assigned). The goal of matching is to reduce bias for the estimated treatment effect in an observational-data study, by finding, for every treated unit, one (or more) non-treated unit(s) with similar observable characteristics against which the covariates are balanced out (similar to the 53:, but has been shown to increase model dependence, bias, inefficiency, and power and is no longer recommended compared to other matching methods. A simple, easy-to-understand, and statistically powerful method of matching known as Coarsened Exact Matching or CEM. 145:
is matching for an apparent mediator that actually is a result of the exposure. If the mediator itself is stratified, an obscured relation of the exposure to the disease would highly be likely to be induced. Overmatching thus causes
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Arceneaux, Kevin; Gerber, Alan S.; Green, Donald P. (2010). "A Cautionary Note on the Use of Matching to Estimate Causal Effects: An Empirical Example Comparing Matching Estimates to an Experimental Benchmark".
41:). By matching treated units to similar non-treated units, matching enables a comparison of outcomes among treated and non-treated units to estimate the effect of the treatment reducing bias due to 296:
Kupper, Lawrence L.; Karon, John M.; Kleinbaum, David G.; Morgenstern, Hal; Lewis, Donald K. (1981). "Matching in Epidemiologic Studies: Validity and Efficiency Considerations".
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Arceneaux, Kevin; Gerber, Alan S.; Green, Donald P. (2006). "Comparing Experimental and Matching Methods Using a Large-Scale Field Experiment on Voter Mobilization".
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Gissler, M.; Hemminki, E. (1996). "The danger of overmatching in studies of the perinatal mortality and birthweight of infants born after assisted conception".
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as it handles strata of arbitrary size and continuous or binary treatments (predictors) and can control for covariates. In particular cases, simpler tests like
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is a statistical technique that evaluates the effect of a treatment by comparing the treated and the non-treated units in an
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of a study, because the controls become more similar to the cases in regard to exposure than the general population.
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LaLonde, Robert J. (1986). "Evaluating the Econometric Evaluations of Training Programs with Experimental Data".
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Anderson, Dallas W.; Kish, Leslie; Cornell, Richard G. (1980). "On Stratification, Grouping and Matching".
3010: 2940: 2425: 2312: 1309: 1206: 1113: 992: 891: 305: 162: 105: 3131: 2009: 3035: 2977: 2920: 2746: 2639: 2548: 2274: 2158: 2017: 1899: 1891: 1706: 1602: 1580: 1539: 1504: 1471: 1417: 1392: 1347: 1286: 1246: 1048: 871: 3114: 2004: 187: 629:"Matching as Nonparametric Preprocessing for Reducing Model Dependence in Parametric Causal Inference" 2958: 2533: 2482: 2458: 2420: 2338: 2317: 2269: 2148: 2126: 2095: 1881: 1832: 1750: 1723: 1679: 1635: 1397: 1173: 1053: 310: 3105: 3030: 2953: 2634: 2398: 2391: 2353: 2261: 2241: 2213: 1946: 1812: 1807: 1797: 1789: 1607: 1568: 1458: 1448: 1357: 1136: 1092: 1010: 935: 837: 624: 158: 127: 126:
Matching can also be used to "pre-process" a sample before analysis via another technique, such as
30: 2680: 165:(IVF) is overmatching, since IVF itself increases the risk of premature birth and multiple birth. 100:
When the outcome of interest is binary, the most general tool for the analysis of matched data is
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to comparable estimates produced with matching methods and showed that matching methods are
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For example, matching the control group by gestation length and/or the number of
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Angrist, Joshua D.; Pischke, Jörn-Steffen (2009). "Regression Meets Matching".
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Rubin, Donald B. (1973). "Matching to Remove Bias in Observational Studies".
2057: 1909: 1529: 1324: 1236: 1221: 1216: 1181: 89: 61: 759: 794: 335: 1573: 1191: 1068: 1063: 1058: 1030: 724:"Removal of radiation dose response effects: an example of over-matching" 645: 628: 573: 415: 405: 388: 3078: 2779: 693: 661: 525: 510: 464: 327: 282: 255: 3000: 1981: 1955: 1935: 1186: 977: 440:"Multivariate Matching Methods That Are Monotonic Imbalance Bounding" 319: 247: 662:"Detecting Model Dependence in Statistical Inference: A Response" 920: 2889: 2456: 2203: 1502: 1272: 889: 833: 119:
When the outcome of interest is continuous, estimation of the
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Mostly Harmless Econometrics: An Empiricist's Companion
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Iacus, Stefano M.; King, Gary; Porro, Giuseppe (2011).
389:"Why Propensity Scores Should Not Be Used for Matching" 2742:
Autoregressive conditional heteroskedasticity (ARCH)
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It was prominently criticized in 2516:Cochran–Mantel–Haenszel statistics 1142:Pearson product-moment correlation 660:King, Gary; Zeng, Langche (2007). 524:Dehejia, R. H.; Wahba, S. (1999). 271:Scandinavian Journal of Statistics 14: 3137: 3125: 3113: 3100: 3099: 775:Eur J Obstet Gynecol Reprod Biol 678:10.1111/j.1468-2478.2007.00449.x 200: 186: 2775:Least-squares spectral analysis 666:International Studies Quarterly 102:conditional logistic regression 1756:Mean-unbiased minimum-variance 547:10.1080/01621459.1999.10473858 56:Matching has been promoted by 1: 3069:Geographic information system 2285:Simultaneous equations models 39:K-nearest neighbors algorithm 2252:Coefficient of determination 1863:Uniformly most powerful test 787:10.1016/0301-2115(95)02517-0 114:Cochran–Mantel–Haenszel test 2821:Proportional hazards models 2765:Spectral density estimation 2747:Vector autoregression (VAR) 2181:Maximum posterior estimator 1413:Randomized controlled trial 3202: 2581:Multivariate distributions 1001:Average absolute deviation 18: 3095: 2898: 2885: 2569:Structural equation model 2477: 2452: 2223: 2199: 1931: 1905:Score/Lagrange multiplier 1511: 1498: 1320:Sample size determination 1281: 1268: 898: 885: 867: 456:10.1198/jasa.2011.tm09599 216:Propensity score matching 47:Propensity score matching 3064:Environmental statistics 2586:Elliptical distributions 2379:Generalized linear model 2308:Simple linear regression 2078:Hodges–Lehmann estimator 1535:Probability distribution 1444:Stochastic approximation 1006:Coefficient of variation 742:10.1136/bmj.325.7359.327 602:10.1177/0049124110378098 498:American Economic Review 168:It may be regarded as a 121:average treatment effect 2724:Cross-correlation (XCF) 2332:Non-standard predictors 1766:Lehmann–ScheffĂ© theorem 1439:Adaptive clinical trial 729:British Medical Journal 3120:Mathematics portal 2941:Engineering statistics 2849:Nelson–Aalen estimator 2426:Analysis of covariance 2313:Ordinary least squares 2237:Pearson product-moment 1641:Statistical functional 1552:Empirical distribution 1385:Controlled experiments 1114:Frequency distribution 892:Descriptive statistics 373:10.1093/biomet/70.1.41 163:in vitro fertilization 161:and birthweight after 106:paired difference test 3171:Design of experiments 3036:Population statistics 2978:System identification 2712:Autocorrelation (ACF) 2640:Exponential smoothing 2554:Discriminant analysis 2549:Canonical correlation 2413:Partition of variance 2275:Regression validation 2119:(Jonckheere–Terpstra) 2018:Likelihood-ratio test 1707:Frequentist inference 1619:Location–scale family 1540:Sampling distribution 1505:Statistical inference 1472:Cross-sectional study 1459:Observational studies 1418:Randomized experiment 1247:Stem-and-leaf display 1049:Central limit theorem 2959:Probabilistic design 2544:Principal components 2387:Exponential families 2339:Nonlinear regression 2318:General linear model 2280:Mixed effects models 2270:Errors and residuals 2247:Confounding variable 2149:Bayesian probability 2127:Van der Waerden test 2117:Ordered alternative 1882:Multiple comparisons 1761:Rao–Blackwellization 1724:Estimating equations 1680:Statistical distance 1398:Factorial experiment 931:Arithmetic-Geometric 722:; Binks, K. (2002). 625:Stuart, Elizabeth A. 143:post-treatment bias, 19:For other uses, see 3186:Sampling techniques 3181:Observational study 3031:Official statistics 2954:Methods engineering 2635:Seasonal adjustment 2403:Poisson regressions 2323:Bayesian regression 2262:Regression analysis 2242:Partial correlation 2214:Regression analysis 1813:Prediction interval 1808:Likelihood interval 1798:Confidence interval 1790:Interval estimation 1751:Unbiased estimators 1569:Model specification 1449:Up-and-down designs 1137:Partial correlation 1093:Index of dispersion 1011:Interquartile range 406:10.1017/pan.2019.11 159:perinatal mortality 128:regression analysis 31:observational study 3176:Medical statistics 3051:Spatial statistics 2931:Medical statistics 2831:First hitting time 2785:Whittle likelihood 2436:Degrees of freedom 2431:Multivariate ANOVA 2364:Heteroscedasticity 2176:Bayesian estimator 2141:Bayesian inference 1990:Kolmogorov–Smirnov 1875:Randomization test 1845:Testing hypotheses 1818:Tolerance interval 1729:Maximum likelihood 1624:Exponential family 1557:Density estimation 1517:Statistical theory 1477:Natural experiment 1423:Scientific control 1340:Survey methodology 1026:Standard deviation 646:10.1093/pan/mpl013 633:Political Analysis 574:10.1093/pan/mpj001 562:Political Analysis 541:(448): 1053–1062. 393:Political Analysis 194:Mathematics portal 172:in decreasing the 51:Rubin causal model 16:Statistical method 3153: 3152: 3091: 3090: 3087: 3086: 3026:National accounts 2996:Actuarial science 2988:Social statistics 2881: 2880: 2877: 2876: 2873: 2872: 2808:Survival function 2793: 2792: 2655:Granger causality 2496:Contingency table 2471:Survival analysis 2448: 2447: 2444: 2443: 2300:Linear regression 2195: 2194: 2191: 2190: 2166:Credible interval 2135: 2134: 1918: 1917: 1734:Method of moments 1603:Parametric family 1564:Statistical model 1494: 1493: 1490: 1489: 1408:Random assignment 1330:Statistical power 1264: 1263: 1260: 1259: 1109:Contingency table 1079: 1078: 946:Generalized/power 822:978-0-691-12034-8 736:(7359): 327–330. 174:external validity 86:political science 3193: 3141: 3140: 3129: 3128: 3118: 3117: 3103: 3102: 3006:Crime statistics 2900: 2887: 2804: 2770:Fourier analysis 2757:Frequency domain 2737: 2684: 2650:Structural break 2610: 2559:Cluster analysis 2506:Log-linear model 2479: 2454: 2395: 2369:Homoscedasticity 2225: 2201: 2120: 2112: 2104: 2103:(Kruskal–Wallis) 2088: 2073: 2028:Cross validation 2013: 1995:Anderson–Darling 1942: 1929: 1900:Likelihood-ratio 1892:Parametric tests 1870:Permutation test 1853:1- & 2-tails 1744:Minimum distance 1716:Point estimation 1712: 1663:Optimal decision 1614: 1513: 1500: 1482:Quasi-experiment 1432:Adaptive designs 1283: 1270: 1147:Rank correlation 909: 900: 887: 854: 847: 840: 831: 826: 799: 798: 770: 764: 763: 753: 715: 706: 705: 657: 651: 650: 648: 620: 614: 613: 584: 578: 577: 557: 551: 550: 530: 521: 515: 514: 492: 486: 485: 467: 450:(493): 345–361. 435: 429: 428: 418: 408: 384: 378: 377: 375: 349: 340: 339: 313: 293: 287: 286: 266: 260: 259: 231: 210: 205: 204: 203: 196: 191: 190: 157:when estimating 148:statistical bias 35:quasi-experiment 3201: 3200: 3196: 3195: 3194: 3192: 3191: 3190: 3156: 3155: 3154: 3149: 3112: 3083: 3045: 2982: 2968:quality control 2935: 2917:Clinical trials 2894: 2869: 2853: 2841:Hazard function 2835: 2789: 2751: 2735: 2698: 2694:Breusch–Godfrey 2682: 2659: 2599: 2574:Factor analysis 2520: 2501:Graphical model 2473: 2440: 2407: 2393: 2373: 2327: 2294: 2256: 2219: 2218: 2187: 2131: 2118: 2110: 2102: 2086: 2071: 2050:Rank statistics 2044: 2023:Model selection 2011: 1969:Goodness of fit 1963: 1940: 1914: 1886: 1839: 1784: 1773:Median unbiased 1701: 1612: 1545:Order statistic 1507: 1486: 1453: 1427: 1379: 1334: 1277: 1275:Data collection 1256: 1168: 1123: 1097: 1075: 1035: 987: 904:Continuous data 894: 881: 863: 858: 823: 810: 807: 805:Further reading 802: 772: 771: 767: 717: 716: 709: 659: 658: 654: 622: 621: 617: 586: 585: 581: 559: 558: 554: 528: 523: 522: 518: 494: 493: 489: 437: 436: 432: 386: 385: 381: 351: 350: 343: 320:10.2307/2530417 311:10.1.1.154.1197 295: 294: 290: 268: 267: 263: 248:10.2307/2529684 233: 232: 228: 224: 208:Medicine portal 206: 201: 199: 192: 185: 182: 155:multiple births 136: 116:are available. 98: 24: 17: 12: 11: 5: 3199: 3197: 3189: 3188: 3183: 3178: 3173: 3168: 3158: 3157: 3151: 3150: 3148: 3147: 3135: 3123: 3109: 3096: 3093: 3092: 3089: 3088: 3085: 3084: 3082: 3081: 3076: 3071: 3066: 3061: 3055: 3053: 3047: 3046: 3044: 3043: 3038: 3033: 3028: 3023: 3018: 3013: 3008: 3003: 2998: 2992: 2990: 2984: 2983: 2981: 2980: 2975: 2970: 2961: 2956: 2951: 2945: 2943: 2937: 2936: 2934: 2933: 2928: 2923: 2914: 2912:Bioinformatics 2908: 2906: 2896: 2895: 2890: 2883: 2882: 2879: 2878: 2875: 2874: 2871: 2870: 2868: 2867: 2861: 2859: 2855: 2854: 2852: 2851: 2845: 2843: 2837: 2836: 2834: 2833: 2828: 2823: 2818: 2812: 2810: 2801: 2795: 2794: 2791: 2790: 2788: 2787: 2782: 2777: 2772: 2767: 2761: 2759: 2753: 2752: 2750: 2749: 2744: 2739: 2731: 2726: 2721: 2720: 2719: 2717:partial (PACF) 2708: 2706: 2700: 2699: 2697: 2696: 2691: 2686: 2678: 2673: 2667: 2665: 2664:Specific tests 2661: 2660: 2658: 2657: 2652: 2647: 2642: 2637: 2632: 2627: 2622: 2616: 2614: 2607: 2601: 2600: 2598: 2597: 2596: 2595: 2594: 2593: 2578: 2577: 2576: 2566: 2564:Classification 2561: 2556: 2551: 2546: 2541: 2536: 2530: 2528: 2522: 2521: 2519: 2518: 2513: 2511:McNemar's test 2508: 2503: 2498: 2493: 2487: 2485: 2475: 2474: 2457: 2450: 2449: 2446: 2445: 2442: 2441: 2439: 2438: 2433: 2428: 2423: 2417: 2415: 2409: 2408: 2406: 2405: 2389: 2383: 2381: 2375: 2374: 2372: 2371: 2366: 2361: 2356: 2351: 2349:Semiparametric 2346: 2341: 2335: 2333: 2329: 2328: 2326: 2325: 2320: 2315: 2310: 2304: 2302: 2296: 2295: 2293: 2292: 2287: 2282: 2277: 2272: 2266: 2264: 2258: 2257: 2255: 2254: 2249: 2244: 2239: 2233: 2231: 2221: 2220: 2217: 2216: 2211: 2205: 2204: 2197: 2196: 2193: 2192: 2189: 2188: 2186: 2185: 2184: 2183: 2173: 2168: 2163: 2162: 2161: 2156: 2145: 2143: 2137: 2136: 2133: 2132: 2130: 2129: 2124: 2123: 2122: 2114: 2106: 2090: 2087:(Mann–Whitney) 2082: 2081: 2080: 2067: 2066: 2065: 2054: 2052: 2046: 2045: 2043: 2042: 2041: 2040: 2035: 2030: 2020: 2015: 2012:(Shapiro–Wilk) 2007: 2002: 1997: 1992: 1987: 1979: 1973: 1971: 1965: 1964: 1962: 1961: 1953: 1944: 1932: 1926: 1924:Specific tests 1920: 1919: 1916: 1915: 1913: 1912: 1907: 1902: 1896: 1894: 1888: 1887: 1885: 1884: 1879: 1878: 1877: 1867: 1866: 1865: 1855: 1849: 1847: 1841: 1840: 1838: 1837: 1836: 1835: 1830: 1820: 1815: 1810: 1805: 1800: 1794: 1792: 1786: 1785: 1783: 1782: 1777: 1776: 1775: 1770: 1769: 1768: 1763: 1748: 1747: 1746: 1741: 1736: 1731: 1720: 1718: 1709: 1703: 1702: 1700: 1699: 1694: 1689: 1688: 1687: 1677: 1672: 1671: 1670: 1660: 1659: 1658: 1653: 1648: 1638: 1633: 1628: 1627: 1626: 1621: 1616: 1600: 1599: 1598: 1593: 1588: 1578: 1577: 1576: 1571: 1561: 1560: 1559: 1549: 1548: 1547: 1537: 1532: 1527: 1521: 1519: 1509: 1508: 1503: 1496: 1495: 1492: 1491: 1488: 1487: 1485: 1484: 1479: 1474: 1469: 1463: 1461: 1455: 1454: 1452: 1451: 1446: 1441: 1435: 1433: 1429: 1428: 1426: 1425: 1420: 1415: 1410: 1405: 1400: 1395: 1389: 1387: 1381: 1380: 1378: 1377: 1375:Standard error 1372: 1367: 1362: 1361: 1360: 1355: 1344: 1342: 1336: 1335: 1333: 1332: 1327: 1322: 1317: 1312: 1307: 1305:Optimal design 1302: 1297: 1291: 1289: 1279: 1278: 1273: 1266: 1265: 1262: 1261: 1258: 1257: 1255: 1254: 1249: 1244: 1239: 1234: 1229: 1224: 1219: 1214: 1209: 1204: 1199: 1194: 1189: 1184: 1178: 1176: 1170: 1169: 1167: 1166: 1161: 1160: 1159: 1154: 1144: 1139: 1133: 1131: 1125: 1124: 1122: 1121: 1116: 1111: 1105: 1103: 1102:Summary tables 1099: 1098: 1096: 1095: 1089: 1087: 1081: 1080: 1077: 1076: 1074: 1073: 1072: 1071: 1066: 1061: 1051: 1045: 1043: 1037: 1036: 1034: 1033: 1028: 1023: 1018: 1013: 1008: 1003: 997: 995: 989: 988: 986: 985: 980: 975: 974: 973: 968: 963: 958: 953: 948: 943: 938: 936:Contraharmonic 933: 928: 917: 915: 906: 896: 895: 890: 883: 882: 880: 879: 874: 868: 865: 864: 859: 857: 856: 849: 842: 834: 828: 827: 821: 806: 803: 801: 800: 765: 718:Marsh, J. L.; 707: 672:(1): 231–241. 652: 639:(3): 199–236. 615: 596:(2): 256–282. 579: 552: 516: 505:(4): 604–620. 487: 430: 399:(4): 435–454. 379: 341: 304:(2): 271–291. 288: 261: 242:(1): 159–183. 225: 223: 220: 219: 218: 212: 211: 197: 181: 178: 135: 132: 123:is performed. 97: 94: 78:Rajeev Dehejia 66:Robert LaLonde 15: 13: 10: 9: 6: 4: 3: 2: 3198: 3187: 3184: 3182: 3179: 3177: 3174: 3172: 3169: 3167: 3164: 3163: 3161: 3146: 3145: 3136: 3134: 3133: 3124: 3122: 3121: 3116: 3110: 3108: 3107: 3098: 3097: 3094: 3080: 3077: 3075: 3074:Geostatistics 3072: 3070: 3067: 3065: 3062: 3060: 3057: 3056: 3054: 3052: 3048: 3042: 3041:Psychometrics 3039: 3037: 3034: 3032: 3029: 3027: 3024: 3022: 3019: 3017: 3014: 3012: 3009: 3007: 3004: 3002: 2999: 2997: 2994: 2993: 2991: 2989: 2985: 2979: 2976: 2974: 2971: 2969: 2965: 2962: 2960: 2957: 2955: 2952: 2950: 2947: 2946: 2944: 2942: 2938: 2932: 2929: 2927: 2924: 2922: 2918: 2915: 2913: 2910: 2909: 2907: 2905: 2904:Biostatistics 2901: 2897: 2893: 2888: 2884: 2866: 2865:Log-rank test 2863: 2862: 2860: 2856: 2850: 2847: 2846: 2844: 2842: 2838: 2832: 2829: 2827: 2824: 2822: 2819: 2817: 2814: 2813: 2811: 2809: 2805: 2802: 2800: 2796: 2786: 2783: 2781: 2778: 2776: 2773: 2771: 2768: 2766: 2763: 2762: 2760: 2758: 2754: 2748: 2745: 2743: 2740: 2738: 2736:(Box–Jenkins) 2732: 2730: 2727: 2725: 2722: 2718: 2715: 2714: 2713: 2710: 2709: 2707: 2705: 2701: 2695: 2692: 2690: 2689:Durbin–Watson 2687: 2685: 2679: 2677: 2674: 2672: 2671:Dickey–Fuller 2669: 2668: 2666: 2662: 2656: 2653: 2651: 2648: 2646: 2645:Cointegration 2643: 2641: 2638: 2636: 2633: 2631: 2628: 2626: 2623: 2621: 2620:Decomposition 2618: 2617: 2615: 2611: 2608: 2606: 2602: 2592: 2589: 2588: 2587: 2584: 2583: 2582: 2579: 2575: 2572: 2571: 2570: 2567: 2565: 2562: 2560: 2557: 2555: 2552: 2550: 2547: 2545: 2542: 2540: 2537: 2535: 2532: 2531: 2529: 2527: 2523: 2517: 2514: 2512: 2509: 2507: 2504: 2502: 2499: 2497: 2494: 2492: 2491:Cohen's kappa 2489: 2488: 2486: 2484: 2480: 2476: 2472: 2468: 2464: 2460: 2455: 2451: 2437: 2434: 2432: 2429: 2427: 2424: 2422: 2419: 2418: 2416: 2414: 2410: 2404: 2400: 2396: 2390: 2388: 2385: 2384: 2382: 2380: 2376: 2370: 2367: 2365: 2362: 2360: 2357: 2355: 2352: 2350: 2347: 2345: 2344:Nonparametric 2342: 2340: 2337: 2336: 2334: 2330: 2324: 2321: 2319: 2316: 2314: 2311: 2309: 2306: 2305: 2303: 2301: 2297: 2291: 2288: 2286: 2283: 2281: 2278: 2276: 2273: 2271: 2268: 2267: 2265: 2263: 2259: 2253: 2250: 2248: 2245: 2243: 2240: 2238: 2235: 2234: 2232: 2230: 2226: 2222: 2215: 2212: 2210: 2207: 2206: 2202: 2198: 2182: 2179: 2178: 2177: 2174: 2172: 2169: 2167: 2164: 2160: 2157: 2155: 2152: 2151: 2150: 2147: 2146: 2144: 2142: 2138: 2128: 2125: 2121: 2115: 2113: 2107: 2105: 2099: 2098: 2097: 2094: 2093:Nonparametric 2091: 2089: 2083: 2079: 2076: 2075: 2074: 2068: 2064: 2063:Sample median 2061: 2060: 2059: 2056: 2055: 2053: 2051: 2047: 2039: 2036: 2034: 2031: 2029: 2026: 2025: 2024: 2021: 2019: 2016: 2014: 2008: 2006: 2003: 2001: 1998: 1996: 1993: 1991: 1988: 1986: 1984: 1980: 1978: 1975: 1974: 1972: 1970: 1966: 1960: 1958: 1954: 1952: 1950: 1945: 1943: 1938: 1934: 1933: 1930: 1927: 1925: 1921: 1911: 1908: 1906: 1903: 1901: 1898: 1897: 1895: 1893: 1889: 1883: 1880: 1876: 1873: 1872: 1871: 1868: 1864: 1861: 1860: 1859: 1856: 1854: 1851: 1850: 1848: 1846: 1842: 1834: 1831: 1829: 1826: 1825: 1824: 1821: 1819: 1816: 1814: 1811: 1809: 1806: 1804: 1801: 1799: 1796: 1795: 1793: 1791: 1787: 1781: 1778: 1774: 1771: 1767: 1764: 1762: 1759: 1758: 1757: 1754: 1753: 1752: 1749: 1745: 1742: 1740: 1737: 1735: 1732: 1730: 1727: 1726: 1725: 1722: 1721: 1719: 1717: 1713: 1710: 1708: 1704: 1698: 1695: 1693: 1690: 1686: 1683: 1682: 1681: 1678: 1676: 1673: 1669: 1668:loss function 1666: 1665: 1664: 1661: 1657: 1654: 1652: 1649: 1647: 1644: 1643: 1642: 1639: 1637: 1634: 1632: 1629: 1625: 1622: 1620: 1617: 1615: 1609: 1606: 1605: 1604: 1601: 1597: 1594: 1592: 1589: 1587: 1584: 1583: 1582: 1579: 1575: 1572: 1570: 1567: 1566: 1565: 1562: 1558: 1555: 1554: 1553: 1550: 1546: 1543: 1542: 1541: 1538: 1536: 1533: 1531: 1528: 1526: 1523: 1522: 1520: 1518: 1514: 1510: 1506: 1501: 1497: 1483: 1480: 1478: 1475: 1473: 1470: 1468: 1465: 1464: 1462: 1460: 1456: 1450: 1447: 1445: 1442: 1440: 1437: 1436: 1434: 1430: 1424: 1421: 1419: 1416: 1414: 1411: 1409: 1406: 1404: 1401: 1399: 1396: 1394: 1391: 1390: 1388: 1386: 1382: 1376: 1373: 1371: 1370:Questionnaire 1368: 1366: 1363: 1359: 1356: 1354: 1351: 1350: 1349: 1346: 1345: 1343: 1341: 1337: 1331: 1328: 1326: 1323: 1321: 1318: 1316: 1313: 1311: 1308: 1306: 1303: 1301: 1298: 1296: 1293: 1292: 1290: 1288: 1284: 1280: 1276: 1271: 1267: 1253: 1250: 1248: 1245: 1243: 1240: 1238: 1235: 1233: 1230: 1228: 1225: 1223: 1220: 1218: 1215: 1213: 1210: 1208: 1205: 1203: 1200: 1198: 1197:Control chart 1195: 1193: 1190: 1188: 1185: 1183: 1180: 1179: 1177: 1175: 1171: 1165: 1162: 1158: 1155: 1153: 1150: 1149: 1148: 1145: 1143: 1140: 1138: 1135: 1134: 1132: 1130: 1126: 1120: 1117: 1115: 1112: 1110: 1107: 1106: 1104: 1100: 1094: 1091: 1090: 1088: 1086: 1082: 1070: 1067: 1065: 1062: 1060: 1057: 1056: 1055: 1052: 1050: 1047: 1046: 1044: 1042: 1038: 1032: 1029: 1027: 1024: 1022: 1019: 1017: 1014: 1012: 1009: 1007: 1004: 1002: 999: 998: 996: 994: 990: 984: 981: 979: 976: 972: 969: 967: 964: 962: 959: 957: 954: 952: 949: 947: 944: 942: 939: 937: 934: 932: 929: 927: 924: 923: 922: 919: 918: 916: 914: 910: 907: 905: 901: 897: 893: 888: 884: 878: 875: 873: 870: 869: 866: 862: 855: 850: 848: 843: 841: 836: 835: 832: 824: 818: 814: 809: 808: 804: 796: 792: 788: 784: 780: 776: 769: 766: 761: 757: 752: 747: 743: 739: 735: 731: 730: 725: 721: 720:Hutton, J. L. 714: 712: 708: 703: 699: 695: 691: 687: 683: 679: 675: 671: 667: 663: 656: 653: 647: 642: 638: 634: 630: 626: 619: 616: 611: 607: 603: 599: 595: 591: 583: 580: 575: 571: 567: 563: 556: 553: 548: 544: 540: 536: 535: 527: 520: 517: 512: 508: 504: 500: 499: 491: 488: 483: 479: 475: 471: 466: 461: 457: 453: 449: 445: 441: 434: 431: 426: 422: 417: 416:1721.1/128459 412: 407: 402: 398: 394: 390: 383: 380: 374: 369: 365: 361: 360: 355: 348: 346: 342: 337: 333: 329: 325: 321: 317: 312: 307: 303: 299: 292: 289: 284: 280: 276: 272: 265: 262: 257: 253: 249: 245: 241: 237: 230: 227: 221: 217: 214: 213: 209: 198: 195: 189: 184: 179: 177: 175: 171: 170:sampling bias 166: 164: 160: 156: 151: 149: 144: 140: 139:Overmatching, 133: 131: 129: 124: 122: 117: 115: 111: 107: 103: 95: 93: 91: 87: 83: 79: 75: 71: 67: 63: 59: 54: 52: 48: 44: 40: 36: 32: 28: 22: 3142: 3130: 3111: 3104: 3016:Econometrics 2966: / 2949:Chemometrics 2926:Epidemiology 2919: / 2892:Applications 2734:ARIMA model 2681:Q-statistic 2630:Stationarity 2526:Multivariate 2469: / 2465: / 2463:Multivariate 2461: / 2401: / 2397: / 2171:Bayes factor 2070:Signed rank 1982: 1956: 1948: 1936: 1631:Completeness 1467:Cohort study 1365:Opinion poll 1300:Missing data 1287:Study design 1242:Scatter plot 1164:Scatter plot 1157:Spearman's ρ 1119:Grouped data 812: 781:(2): 73–75. 778: 774: 768: 733: 727: 669: 665: 655: 636: 632: 618: 593: 589: 582: 568:(1): 37–62. 565: 561: 555: 538: 532: 519: 502: 496: 490: 447: 443: 433: 396: 392: 382: 366:(1): 41–55. 363: 357: 301: 297: 291: 277:(2): 61–66. 274: 270: 264: 239: 235: 229: 167: 152: 142: 138: 137: 134:Overmatching 125: 118: 110:McNemar test 99: 58:Donald Rubin 55: 26: 25: 3144:WikiProject 3059:Cartography 3021:Jurimetrics 2973:Reliability 2704:Time domain 2683:(Ljung–Box) 2605:Time-series 2483:Categorical 2467:Time-series 2459:Categorical 2394:(Bernoulli) 2229:Correlation 2209:Correlation 2005:Jarque–Bera 1977:Chi-squared 1739:M-estimator 1692:Asymptotics 1636:Sufficiency 1403:Interaction 1315:Replication 1295:Effect size 1252:Violin plot 1232:Radar chart 1212:Forest plot 1202:Correlogram 1152:Kendall's τ 465:2434/151476 82:Sadek Wahba 43:confounding 3160:Categories 3011:Demography 2729:ARMA model 2534:Regression 2111:(Friedman) 2072:(Wilcoxon) 2010:Normality 2000:Lilliefors 1947:Student's 1823:Resampling 1697:Robustness 1685:divergence 1675:Efficiency 1613:(monotone) 1608:Likelihood 1525:Population 1358:Stratified 1310:Population 1129:Dependence 1085:Count data 1016:Percentile 993:Dispersion 926:Arithmetic 861:Statistics 359:Biometrika 298:Biometrics 236:Biometrics 222:References 92:journals. 70:experiment 2392:Logistic 2159:posterior 2085:Rank sum 1833:Jackknife 1828:Bootstrap 1646:Bootstrap 1581:Parameter 1530:Statistic 1325:Statistic 1237:Run chart 1222:Pie chart 1217:Histogram 1207:Fan chart 1182:Bar chart 1064:L-moments 951:Geometric 686:0020-8833 474:0162-1459 425:1047-1987 306:CiteSeerX 90:sociology 62:economics 3106:Category 2799:Survival 2676:Johansen 2399:Binomial 2354:Isotonic 1941:(normal) 1586:location 1393:Blocking 1348:Sampling 1227:Q–Q plot 1192:Box plot 1174:Graphics 1069:Skewness 1059:Kurtosis 1031:Variance 961:Heronian 956:Harmonic 760:12169512 702:12669035 627:(2007). 610:37012563 482:14790456 180:See also 96:Analysis 27:Matching 21:Matching 3132:Commons 3079:Kriging 2964:Process 2921:studies 2780:Wavelet 2613:General 1780:Plug-in 1574:L space 1353:Cluster 1054:Moments 872:Outline 795:8902436 751:1123834 694:4621711 511:1806062 336:7272415 328:2530417 283:4615774 256:2529684 3001:Census 2591:Normal 2539:Manova 2359:Robust 2109:2-way 2101:1-way 1939:-test 1610:  1187:Biplot 978:Median 971:Lehmer 913:Center 819:  793:  758:  748:  700:  692:  684:  608:  509:  480:  472:  423:  334:  326:  308:  281:  254:  74:biased 2625:Trend 2154:prior 2096:anova 1985:-test 1959:-test 1951:-test 1858:Power 1803:Pivot 1596:shape 1591:scale 1041:Shape 1021:Range 966:Heinz 941:Cubic 877:Index 698:S2CID 690:JSTOR 606:S2CID 529:(PDF) 507:JSTOR 478:S2CID 324:JSTOR 279:JSTOR 252:JSTOR 3166:Bias 2858:Test 2058:Sign 1910:Wald 983:Mode 921:Mean 817:ISBN 791:PMID 756:PMID 682:ISSN 470:ISSN 421:ISSN 332:PMID 112:and 88:and 80:and 2038:BIC 2033:AIC 783:doi 746:PMC 738:doi 734:325 674:doi 641:doi 598:doi 570:doi 543:doi 460:hdl 452:doi 448:106 411:hdl 401:doi 368:doi 316:doi 244:doi 141:or 64:by 33:or 3162:: 789:. 779:69 777:. 754:. 744:. 732:. 726:. 710:^ 696:. 688:. 680:. 670:51 668:. 664:. 637:15 635:. 631:. 604:. 594:39 592:. 566:14 564:. 539:94 537:. 531:. 503:76 501:. 476:. 468:. 458:. 446:. 442:. 419:. 409:. 397:27 395:. 391:. 364:70 362:. 356:. 344:^ 330:. 322:. 314:. 302:37 300:. 273:. 250:. 240:29 238:. 150:. 130:. 108:, 76:. 45:. 1983:G 1957:F 1949:t 1937:Z 1656:V 1651:U 853:e 846:t 839:v 825:. 797:. 785:: 762:. 740:: 704:. 676:: 649:. 643:: 612:. 600:: 576:. 572:: 549:. 545:: 513:. 484:. 462:: 454:: 427:. 413:: 403:: 376:. 370:: 338:. 318:: 285:. 275:7 258:. 246:: 23:.

Index

Matching
observational study
quasi-experiment
K-nearest neighbors algorithm
confounding
Propensity score matching
Rubin causal model
Donald Rubin
economics
Robert LaLonde
experiment
biased
Rajeev Dehejia
Sadek Wahba
political science
sociology
conditional logistic regression
paired difference test
McNemar test
Cochran–Mantel–Haenszel test
average treatment effect
regression analysis
statistical bias
multiple births
perinatal mortality
in vitro fertilization
sampling bias
external validity
icon
Mathematics portal

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