Knowledge

Semiparametric regression

Source 📝

25: 5558: 456: 5544: 5582: 5570: 2780: 2436: 2524: 519:
models. They are often used in situations where the fully nonparametric model may not perform well or when the researcher wants to use a parametric model but the functional form with respect to a subset of the regressors or the density of the errors is not known. Semiparametric regression models are
2211: 2775:{\displaystyle Y_{i}=\alpha \left(Z_{i}\right)+X'_{i}\beta \left(Z_{i}\right)+u_{i}=\left(1+X'_{i}\right)\left({\begin{array}{c}\alpha \left(Z_{i}\right)\\\beta \left(Z_{i}\right)\end{array}}\right)+u_{i}=W'_{i}\gamma \left(Z_{i}\right)+u_{i},} 1912: 666: 1689: 3086: 1062: 2037: 2504: 2431:{\displaystyle L\left(\beta \right)=\sum _{i}\left(1-Y_{i}\right)\ln \left(1-{\hat {g}}_{-i}\left(X'_{i}\beta \right)\right)+\sum _{i}Y_{i}\ln \left({\hat {g}}_{-i}\left(X'_{i}\beta \right)\right),} 1301: 967: 1206: 2093: 1965: 835: 2920: 2867: 1723: 1560: 1501: 1438: 1147: 893: 1466: 540:
Many different semiparametric regression methods have been proposed and developed. The most popular methods are the partially linear, index and varying coefficient models.
1089: 1587: 1371: 2836: 795: 749: 2199: 1743: 1109: 855: 769: 2810: 2175: 2148: 723: 696: 2887: 2121: 1529: 1391: 1344: 1324: 1226: 558: 1751: 1599: 4679: 2928: 5184: 976: 1064:
of unknown form. This type of model was proposed by Robinson (1988) and extended to handle categorical covariates by Racine and Li (2007).
5334: 4958: 3599: 4732: 486: 5171: 1973: 396: 2444: 3177: 3594: 3294: 386: 4198: 3346: 1242: 898: 5608: 4981: 4873: 2178: 800: 68: 46: 39: 5586: 5159: 5033: 350: 5217: 4878: 4623: 3994: 3584: 1156: 401: 339: 159: 134: 2894: 2052: 1924: 524:
and, since semiparametric models contain a parametric component, they rely on parametric assumptions and may be
5268: 4480: 4287: 4176: 4134: 261: 4208: 5511: 4470: 3373: 220: 5062: 5011: 4996: 4986: 4855: 4727: 4694: 4520: 4475: 4305: 479: 2841: 1697: 1534: 1511:
The single index model method developed by Ichimura (1993) is as follows. Consider the situation in which
1475: 5574: 5406: 5207: 5131: 4432: 4186: 3855: 3319: 3102: 1396: 1114: 860: 422: 5291: 5263: 5258: 5006: 4765: 4671: 4651: 4559: 4270: 4088: 3571: 3443: 525: 391: 360: 287: 3221:
Klein, R. W.; R. H. Spady (1993). "An Efficient Semiparametric Estimator for Binary Response Models".
5023: 4512: 4437: 4366: 4295: 4215: 4203: 4073: 4061: 4054: 3762: 3483: 2046: 1918: 381: 370: 334: 3235: 5506: 5273: 5136: 4821: 4786: 4750: 4535: 3977: 3886: 3845: 3757: 3448: 3287: 3097: 1590: 442: 313: 236: 129: 108: 33: 5415: 5028: 4968: 4905: 4543: 4527: 4265: 4127: 4117: 3967: 3881: 2507: 2043: 1070: 472: 365: 1565: 1349: 5453: 5383: 5176: 5113: 4868: 4755: 3752: 3649: 3556: 3435: 3334: 3230: 2815: 774: 728: 549: 329: 324: 266: 50: 1443: 5478: 5420: 5363: 5189: 5082: 4991: 4717: 4601: 4460: 4452: 4342: 4334: 4149: 4045: 4023: 3982: 3947: 3914: 3860: 3835: 3790: 3729: 3689: 3491: 3314: 417: 113: 2184: 1728: 1094: 840: 754: 5401: 4976: 4925: 4901: 4863: 4781: 4760: 4712: 4591: 4569: 4538: 4447: 4324: 4275: 4193: 4166: 4122: 4078: 3840: 3616: 3496: 2788: 2153: 2126: 701: 674: 529: 521: 437: 427: 308: 276: 231: 210: 118: 3187:
Racine, J.S.; Qui, L. (2007). "A Partially Linear Kernel Estimator for Categorical Data".
8: 5548: 5473: 5396: 5077: 4841: 4834: 4796: 4704: 4684: 4656: 4389: 4255: 4250: 4240: 4232: 4050: 4011: 3901: 3891: 3800: 3579: 3535: 3453: 3378: 3280: 508: 355: 256: 251: 205: 154: 144: 89: 5562: 5373: 5227: 5123: 5072: 4948: 4845: 4829: 4806: 4583: 4317: 4300: 4260: 4171: 4066: 4028: 3999: 3959: 3919: 3865: 3782: 3468: 3463: 3248: 3198:"Semiparametric Least Squares (SLS) and Weighted SLS Estimation of Single Index Models" 3156: 2872: 2202: 2106: 1514: 1376: 1329: 1309: 1211: 460: 189: 174: 5557: 5468: 5438: 5430: 5250: 5241: 5166: 5097: 4953: 4938: 4913: 4801: 4742: 4608: 4596: 4222: 4139: 4083: 4006: 3850: 3772: 3551: 3425: 3213: 3173: 1150: 837:. The parametric part of the partially linear model is given by the parameter vector 661:{\displaystyle Y_{i}=X'_{i}\beta +g\left(Z_{i}\right)+u_{i},\,\quad i=1,\ldots ,n,\,} 516: 455: 246: 149: 103: 5493: 5448: 5212: 5199: 5092: 5067: 5001: 4933: 4811: 4419: 4312: 4245: 4158: 4105: 3924: 3795: 3589: 3473: 3388: 3355: 3240: 3209: 3148: 512: 271: 200: 3121:
See Li and Racine (2007) for an in-depth look at nonparametric regression methods.
1907:{\displaystyle G\left(X'_{i}\beta \right)=E\left(Y_{i}|X'_{i}\beta \right)=E\left} 5410: 5154: 5016: 4943: 4618: 4492: 4465: 4442: 4411: 4038: 4033: 3987: 3717: 3368: 970: 432: 139: 4900: 5359: 5354: 3817: 3747: 3393: 184: 1440:. The single index model takes its name from the parametric part of the model 5602: 5516: 5483: 5346: 5307: 5118: 5087: 4551: 4505: 4110: 3812: 3639: 3403: 3398: 1684:{\displaystyle \sum _{i=1}\left(Y_{i}-g\left(X'_{i}\beta \right)\right)^{2}.} 303: 179: 5458: 5391: 5368: 5283: 4613: 3909: 3807: 3742: 3684: 3669: 3606: 3561: 169: 5501: 5463: 5146: 5047: 4909: 4722: 4689: 4181: 4098: 4093: 3737: 3694: 3674: 3654: 3644: 3413: 3081:{\displaystyle \gamma \left(Z_{i}\right)=\left(E\left\right)^{-1}E\left.} 2518:
Hastie and Tibshirani (1993) propose a smooth coefficient model given by
215: 164: 4347: 3827: 3527: 3458: 3408: 3383: 3303: 3252: 3160: 1057:{\displaystyle E\left(u_{i}^{2}|x,z\right)=\sigma ^{2}\left(x,z\right)} 500: 4500: 4352: 3972: 3767: 3679: 3664: 3659: 3624: 3244: 3152: 4016: 3634: 3511: 3506: 3501: 16:
Regression models that combine parametric and nonparametric models
5521: 5222: 3260:
Hastie, T.; R. Tibshirani (1993). "Varying-Coefficient Models".
2513: 5443: 4424: 4398: 4378: 3629: 3420: 3272: 1472:
single index. The nonparametric part is the unknown function
3197: 2181:, Klein and Spady (1993) propose a technique for estimating 1725:
is not known, we need to estimate it. For a given value for
3363: 2032:{\displaystyle {\hat {G}}_{-i}\left(X'_{i}\beta \right),\,} 2499:{\displaystyle {\hat {g}}_{-i}\left(X'_{i}\beta \right)} 2649: 1228:
using an appropriate nonparametric regression method.
2931: 2897: 2875: 2844: 2818: 2791: 2527: 2447: 2214: 2187: 2156: 2129: 2109: 2055: 1976: 1927: 1754: 1731: 1700: 1602: 1568: 1537: 1517: 1478: 1446: 1399: 1379: 1352: 1332: 1312: 1245: 1214: 1159: 1117: 1097: 1073: 979: 901: 863: 857:
while the nonparametric part is the unknown function
843: 803: 777: 757: 731: 704: 677: 561: 5185:
Autoregressive conditional heteroskedasticity (ARCH)
3167: 3259: 1531:is continuous. Given a known form for the function 4647: 3262:Journal of the Royal Statistical Society, Series B 3080: 2914: 2881: 2861: 2830: 2804: 2774: 2498: 2430: 2193: 2169: 2142: 2115: 2087: 2031: 1959: 1906: 1737: 1717: 1683: 1581: 1554: 1523: 1495: 1460: 1432: 1385: 1365: 1338: 1318: 1295: 1220: 1200: 1141: 1103: 1083: 1056: 961: 887: 849: 829: 789: 763: 743: 717: 690: 660: 2205:methods. The log-likelihood function is given by 1296:{\displaystyle Y=g\left(X'\beta _{0}\right)+u,\,} 962:{\displaystyle E\left(u_{i}|X_{i},Z_{i}\right)=0} 5600: 3220: 4733:Multivariate adaptive regression splines (MARS) 3170:Nonparametric Econometrics: Theory and Practice 2869:is a vector of unspecified smooth functions of 830:{\displaystyle Z_{i}\in \operatorname {R} ^{q}} 2098: 3288: 3186: 2514:Smooth coefficient/varying coefficient models 480: 1921:method. Ichimura (1993) proposes estimating 3189:Unpublished Manuscript, Mcmaster University 1201:{\displaystyle Y_{i}-X'_{i}{\hat {\beta }}} 3333: 3295: 3281: 2915:{\displaystyle \gamma \left(\cdot \right)} 2088:{\displaystyle G\left(X'_{i}\beta \right)} 1960:{\displaystyle g\left(X'_{i}\beta \right)} 1373:are defined as earlier and the error term 1067:This method is implemented by obtaining a 543: 487: 473: 3946: 3234: 2028: 1292: 969:and the model allows for a conditionally 657: 631: 69:Learn how and when to remove this message 3195: 3134: 895:. The data is assumed to be i.i.d. with 32:This article includes a list of general 3229:(2). The Econometric Society: 387–421. 3147:(4). The Econometric Society: 931–954. 3139:Consistent Semiparametric Regression". 5601: 5259:Kaplan–Meier estimator (product limit) 532:, just like a fully parametric model. 5332: 4899: 4646: 3945: 3715: 3332: 3276: 5569: 5269:Accelerated failure time (AFT) model 2862:{\displaystyle \beta \left(z\right)} 1718:{\displaystyle g\left(\cdot \right)} 1555:{\displaystyle g\left(\cdot \right)} 1506: 1496:{\displaystyle g\left(\cdot \right)} 1236:A single index model takes the form 18: 5581: 4864:Analysis of variance (ANOVA, anova) 3716: 3168:Li, Qi; Racine, Jeffrey S. (2007). 1433:{\displaystyle E\left(u|X\right)=0} 1142:{\displaystyle g\left(Z_{i}\right)} 888:{\displaystyle g\left(Z_{i}\right)} 13: 4959:Cochran–Mantel–Haenszel statistics 3585:Pearson product-moment correlation 1111:and then deriving an estimator of 818: 38:it lacks sufficient corresponding 14: 5620: 797:vector of unknown parameters and 751:vector of explanatory variables, 5580: 5568: 5556: 5543: 5542: 5333: 1593:method to minimize the function 454: 23: 5218:Least-squares spectral analysis 1231: 632: 402:Least-squares spectral analysis 340:Generalized estimating equation 160:Multinomial logistic regression 135:Vector generalized linear model 4199:Mean-unbiased minimum-variance 3302: 3172:. Princeton University Press. 3115: 3056: 2994: 2455: 2379: 2292: 1984: 1879: 1806: 1412: 1192: 1004: 921: 1: 5512:Geographic information system 4728:Simultaneous equations models 3135:Robinson, P.M. (1988). "Root- 3128: 1694:Since the functional form of 1589:could be estimated using the 221:Nonlinear mixed-effects model 4695:Coefficient of determination 4306:Uniformly most powerful test 3214:10.1016/0304-4076(93)90114-K 1745:an estimate of the function 7: 5264:Proportional hazards models 5208:Spectral density estimation 5190:Vector autoregression (VAR) 4624:Maximum posterior estimator 3856:Randomized controlled trial 3103:Effective degree of freedom 3091: 2099:Klein and Spady's estimator 1084:{\displaystyle {\sqrt {n}}} 698:is the dependent variable, 423:Mean and predicted response 10: 5625: 5024:Multivariate distributions 3444:Average absolute deviation 2103:If the dependent variable 1582:{\displaystyle \beta _{0}} 1366:{\displaystyle \beta _{0}} 535: 216:Linear mixed-effects model 5538: 5492: 5429: 5382: 5345: 5341: 5328: 5300: 5282: 5249: 5240: 5198: 5145: 5106: 5055: 5046: 5012:Structural equation model 4967: 4924: 4920: 4895: 4854: 4820: 4774: 4741: 4703: 4670: 4666: 4642: 4582: 4491: 4410: 4374: 4365: 4348:Score/Lagrange multiplier 4333: 4286: 4231: 4157: 4148: 3958: 3954: 3941: 3900: 3874: 3826: 3781: 3763:Sample size determination 3728: 3724: 3711: 3615: 3570: 3544: 3526: 3482: 3434: 3354: 3345: 3341: 3328: 3310: 2831:{\displaystyle k\times 1} 790:{\displaystyle p\times 1} 744:{\displaystyle p\times 1} 505:semiparametric regression 382:Least absolute deviations 5609:Nonparametric statistics 5507:Environmental statistics 5029:Elliptical distributions 4822:Generalized linear model 4751:Simple linear regression 4521:Hodges–Lehmann estimator 3978:Probability distribution 3887:Stochastic approximation 3449:Coefficient of variation 3108: 3098:Nonparametric regression 1461:{\displaystyle x'\beta } 1151:nonparametric regression 1091:consistent estimator of 522:semiparametric modelling 130:Generalized linear model 5167:Cross-correlation (XCF) 4775:Non-standard predictors 4209:Lehmann–ScheffĂ© theorem 3882:Adaptive clinical trial 3202:Journal of Econometrics 1591:nonlinear least squares 544:Partially linear models 53:more precise citations. 5563:Mathematics portal 5384:Engineering statistics 5292:Nelson–Aalen estimator 4869:Analysis of covariance 4756:Ordinary least squares 4680:Pearson product-moment 4084:Statistical functional 3995:Empirical distribution 3828:Controlled experiments 3557:Frequency distribution 3335:Descriptive statistics 3082: 2916: 2883: 2863: 2832: 2806: 2776: 2500: 2432: 2195: 2194:{\displaystyle \beta } 2171: 2144: 2117: 2089: 2033: 1961: 1908: 1739: 1738:{\displaystyle \beta } 1719: 1685: 1583: 1556: 1525: 1497: 1462: 1434: 1387: 1367: 1340: 1320: 1297: 1222: 1202: 1143: 1105: 1104:{\displaystyle \beta } 1085: 1058: 963: 889: 851: 850:{\displaystyle \beta } 831: 791: 765: 764:{\displaystyle \beta } 745: 719: 692: 662: 550:partially linear model 461:Mathematics portal 387:Iteratively reweighted 5479:Population statistics 5421:System identification 5155:Autocorrelation (ACF) 5083:Exponential smoothing 4997:Discriminant analysis 4992:Canonical correlation 4856:Partition of variance 4718:Regression validation 4562:(Jonckheere–Terpstra) 4461:Likelihood-ratio test 4150:Frequentist inference 4062:Location–scale family 3983:Sampling distribution 3948:Statistical inference 3915:Cross-sectional study 3902:Observational studies 3861:Randomized experiment 3690:Stem-and-leaf display 3492:Central limit theorem 3196:Ichimura, H. (1993). 3083: 2917: 2884: 2864: 2833: 2807: 2805:{\displaystyle X_{i}} 2777: 2501: 2433: 2196: 2172: 2170:{\displaystyle u_{i}} 2145: 2143:{\displaystyle X_{i}} 2118: 2090: 2034: 1962: 1909: 1740: 1720: 1686: 1584: 1557: 1526: 1498: 1463: 1435: 1388: 1368: 1341: 1321: 1298: 1223: 1203: 1144: 1106: 1086: 1059: 964: 890: 852: 832: 792: 766: 746: 720: 718:{\displaystyle X_{i}} 693: 691:{\displaystyle Y_{i}} 663: 520:a particular type of 418:Regression validation 397:Bayesian multivariate 114:Polynomial regression 5402:Probabilistic design 4987:Principal components 4830:Exponential families 4782:Nonlinear regression 4761:General linear model 4723:Mixed effects models 4713:Errors and residuals 4690:Confounding variable 4592:Bayesian probability 4570:Van der Waerden test 4560:Ordered alternative 4325:Multiple comparisons 4204:Rao–Blackwellization 4167:Estimating equations 4123:Statistical distance 3841:Factorial experiment 3374:Arithmetic-Geometric 2929: 2922:may be expressed as 2895: 2873: 2842: 2816: 2789: 2525: 2445: 2212: 2185: 2154: 2127: 2107: 2053: 2047:nonparametric kernel 1974: 1925: 1752: 1729: 1698: 1600: 1566: 1535: 1515: 1476: 1444: 1397: 1377: 1350: 1330: 1310: 1243: 1212: 1157: 1115: 1095: 1071: 977: 899: 861: 841: 801: 775: 755: 729: 702: 675: 559: 511:models that combine 443:Gauss–Markov theorem 438:Studentized residual 428:Errors and residuals 262:Principal components 232:Nonlinear regression 119:General linear model 5474:Official statistics 5397:Methods engineering 5078:Seasonal adjustment 4846:Poisson regressions 4766:Bayesian regression 4705:Regression analysis 4685:Partial correlation 4657:Regression analysis 4256:Prediction interval 4251:Likelihood interval 4241:Confidence interval 4233:Interval estimation 4194:Unbiased estimators 4012:Model specification 3892:Up-and-down designs 3580:Partial correlation 3536:Index of dispersion 3454:Interquartile range 2992: 2734: 2638: 2577: 2487: 2411: 2324: 2076: 2016: 1948: 1895: 1862: 1822: 1775: 1658: 1185: 1002: 587: 288:Errors-in-variables 155:Logistic regression 145:Binomial regression 90:Regression analysis 84:Part of a series on 5494:Spatial statistics 5374:Medical statistics 5274:First hitting time 5228:Whittle likelihood 4879:Degrees of freedom 4874:Multivariate ANOVA 4807:Heteroscedasticity 4619:Bayesian estimator 4584:Bayesian inference 4433:Kolmogorov–Smirnov 4318:Randomization test 4288:Testing hypotheses 4261:Tolerance interval 4172:Maximum likelihood 4067:Exponential family 4000:Density estimation 3960:Statistical theory 3920:Natural experiment 3866:Scientific control 3783:Survey methodology 3469:Standard deviation 3078: 2980: 2912: 2879: 2859: 2828: 2802: 2772: 2722: 2700: 2626: 2565: 2496: 2475: 2428: 2399: 2350: 2312: 2241: 2203:maximum likelihood 2191: 2177:are assumed to be 2167: 2140: 2113: 2085: 2064: 2029: 2004: 1957: 1936: 1904: 1883: 1850: 1810: 1763: 1735: 1715: 1681: 1646: 1618: 1579: 1552: 1521: 1493: 1458: 1430: 1383: 1363: 1336: 1316: 1293: 1218: 1198: 1173: 1139: 1101: 1081: 1054: 988: 959: 885: 847: 827: 787: 761: 741: 715: 688: 658: 575: 175:Multinomial probit 5596: 5595: 5534: 5533: 5530: 5529: 5469:National accounts 5439:Actuarial science 5431:Social statistics 5324: 5323: 5320: 5319: 5316: 5315: 5251:Survival function 5236: 5235: 5098:Granger causality 4939:Contingency table 4914:Survival analysis 4891: 4890: 4887: 4886: 4743:Linear regression 4638: 4637: 4634: 4633: 4609:Credible interval 4578: 4577: 4361: 4360: 4177:Method of moments 4046:Parametric family 4007:Statistical model 3937: 3936: 3933: 3932: 3851:Random assignment 3773:Statistical power 3707: 3706: 3703: 3702: 3552:Contingency table 3522: 3521: 3389:Generalized/power 3179:978-0-691-12161-1 2882:{\displaystyle z} 2458: 2382: 2341: 2295: 2232: 2116:{\displaystyle y} 1987: 1603: 1524:{\displaystyle y} 1507:Ichimura's method 1386:{\displaystyle u} 1339:{\displaystyle X} 1319:{\displaystyle Y} 1221:{\displaystyle z} 1195: 1079: 497: 496: 150:Binary regression 109:Simple regression 104:Linear regression 79: 78: 71: 5616: 5584: 5583: 5572: 5571: 5561: 5560: 5546: 5545: 5449:Crime statistics 5343: 5342: 5330: 5329: 5247: 5246: 5213:Fourier analysis 5200:Frequency domain 5180: 5127: 5093:Structural break 5053: 5052: 5002:Cluster analysis 4949:Log-linear model 4922: 4921: 4897: 4896: 4838: 4812:Homoscedasticity 4668: 4667: 4644: 4643: 4563: 4555: 4547: 4546:(Kruskal–Wallis) 4531: 4516: 4471:Cross validation 4456: 4438:Anderson–Darling 4385: 4372: 4371: 4343:Likelihood-ratio 4335:Parametric tests 4313:Permutation test 4296:1- & 2-tails 4187:Minimum distance 4159:Point estimation 4155: 4154: 4106:Optimal decision 4057: 3956: 3955: 3943: 3942: 3925:Quasi-experiment 3875:Adaptive designs 3726: 3725: 3713: 3712: 3590:Rank correlation 3352: 3351: 3343: 3342: 3330: 3329: 3297: 3290: 3283: 3274: 3273: 3269: 3256: 3238: 3217: 3192: 3183: 3164: 3122: 3119: 3087: 3085: 3084: 3079: 3074: 3070: 3069: 3068: 3059: 3054: 3053: 3044: 3043: 3026: 3025: 3017: 3013: 3012: 3008: 3007: 3006: 2997: 2988: 2979: 2978: 2952: 2948: 2947: 2921: 2919: 2918: 2913: 2911: 2888: 2886: 2885: 2880: 2868: 2866: 2865: 2860: 2858: 2837: 2835: 2834: 2829: 2811: 2809: 2808: 2803: 2801: 2800: 2781: 2779: 2778: 2773: 2768: 2767: 2755: 2751: 2750: 2730: 2718: 2717: 2705: 2701: 2697: 2693: 2692: 2672: 2668: 2667: 2643: 2639: 2634: 2611: 2610: 2598: 2594: 2593: 2573: 2561: 2557: 2556: 2537: 2536: 2505: 2503: 2502: 2497: 2495: 2491: 2483: 2469: 2468: 2460: 2459: 2451: 2437: 2435: 2434: 2429: 2424: 2420: 2419: 2415: 2407: 2393: 2392: 2384: 2383: 2375: 2360: 2359: 2349: 2337: 2333: 2332: 2328: 2320: 2306: 2305: 2297: 2296: 2288: 2267: 2263: 2262: 2261: 2240: 2228: 2200: 2198: 2197: 2192: 2176: 2174: 2173: 2168: 2166: 2165: 2149: 2147: 2146: 2141: 2139: 2138: 2122: 2120: 2119: 2114: 2094: 2092: 2091: 2086: 2084: 2080: 2072: 2038: 2036: 2035: 2030: 2024: 2020: 2012: 1998: 1997: 1989: 1988: 1980: 1966: 1964: 1963: 1958: 1956: 1952: 1944: 1913: 1911: 1910: 1905: 1903: 1899: 1891: 1882: 1877: 1873: 1872: 1871: 1858: 1830: 1826: 1818: 1809: 1804: 1803: 1783: 1779: 1771: 1744: 1742: 1741: 1736: 1724: 1722: 1721: 1716: 1714: 1690: 1688: 1687: 1682: 1677: 1676: 1671: 1667: 1666: 1662: 1654: 1634: 1633: 1617: 1588: 1586: 1585: 1580: 1578: 1577: 1561: 1559: 1558: 1553: 1551: 1530: 1528: 1527: 1522: 1502: 1500: 1499: 1494: 1492: 1467: 1465: 1464: 1459: 1454: 1439: 1437: 1436: 1431: 1423: 1419: 1415: 1392: 1390: 1389: 1384: 1372: 1370: 1369: 1364: 1362: 1361: 1345: 1343: 1342: 1337: 1325: 1323: 1322: 1317: 1302: 1300: 1299: 1294: 1282: 1278: 1277: 1276: 1267: 1227: 1225: 1224: 1219: 1207: 1205: 1204: 1199: 1197: 1196: 1188: 1181: 1169: 1168: 1148: 1146: 1145: 1140: 1138: 1134: 1133: 1110: 1108: 1107: 1102: 1090: 1088: 1087: 1082: 1080: 1075: 1063: 1061: 1060: 1055: 1053: 1049: 1034: 1033: 1021: 1017: 1007: 1001: 996: 968: 966: 965: 960: 952: 948: 947: 946: 934: 933: 924: 919: 918: 894: 892: 891: 886: 884: 880: 879: 856: 854: 853: 848: 836: 834: 833: 828: 826: 825: 813: 812: 796: 794: 793: 788: 770: 768: 767: 762: 750: 748: 747: 742: 724: 722: 721: 716: 714: 713: 697: 695: 694: 689: 687: 686: 667: 665: 664: 659: 627: 626: 614: 610: 609: 583: 571: 570: 489: 482: 475: 459: 458: 366:Ridge regression 201:Multilevel model 81: 80: 74: 67: 63: 60: 54: 49:this article by 40:inline citations 27: 26: 19: 5624: 5623: 5619: 5618: 5617: 5615: 5614: 5613: 5599: 5598: 5597: 5592: 5555: 5526: 5488: 5425: 5411:quality control 5378: 5360:Clinical trials 5337: 5312: 5296: 5284:Hazard function 5278: 5232: 5194: 5178: 5141: 5137:Breusch–Godfrey 5125: 5102: 5042: 5017:Factor analysis 4963: 4944:Graphical model 4916: 4883: 4850: 4836: 4816: 4770: 4737: 4699: 4662: 4661: 4630: 4574: 4561: 4553: 4545: 4529: 4514: 4493:Rank statistics 4487: 4466:Model selection 4454: 4412:Goodness of fit 4406: 4383: 4357: 4329: 4282: 4227: 4216:Median unbiased 4144: 4055: 3988:Order statistic 3950: 3929: 3896: 3870: 3822: 3777: 3720: 3718:Data collection 3699: 3611: 3566: 3540: 3518: 3478: 3430: 3347:Continuous data 3337: 3324: 3306: 3301: 3245:10.2307/2951556 3236:10.1.1.318.4925 3208:(1–2): 71–120. 3180: 3153:10.2307/1912705 3131: 3126: 3125: 3120: 3116: 3111: 3094: 3064: 3060: 3055: 3049: 3045: 3039: 3035: 3034: 3030: 3018: 3002: 2998: 2993: 2984: 2974: 2970: 2969: 2965: 2961: 2957: 2956: 2943: 2939: 2935: 2930: 2927: 2926: 2901: 2896: 2893: 2892: 2874: 2871: 2870: 2848: 2843: 2840: 2839: 2817: 2814: 2813: 2796: 2792: 2790: 2787: 2786: 2763: 2759: 2746: 2742: 2738: 2726: 2713: 2709: 2699: 2698: 2688: 2684: 2680: 2674: 2673: 2663: 2659: 2655: 2648: 2644: 2630: 2619: 2615: 2606: 2602: 2589: 2585: 2581: 2569: 2552: 2548: 2544: 2532: 2528: 2526: 2523: 2522: 2516: 2479: 2474: 2470: 2461: 2450: 2449: 2448: 2446: 2443: 2442: 2403: 2398: 2394: 2385: 2374: 2373: 2372: 2371: 2367: 2355: 2351: 2345: 2316: 2311: 2307: 2298: 2287: 2286: 2285: 2278: 2274: 2257: 2253: 2246: 2242: 2236: 2218: 2213: 2210: 2209: 2186: 2183: 2182: 2161: 2157: 2155: 2152: 2151: 2134: 2130: 2128: 2125: 2124: 2108: 2105: 2104: 2101: 2068: 2063: 2059: 2054: 2051: 2050: 2008: 2003: 1999: 1990: 1979: 1978: 1977: 1975: 1972: 1971: 1940: 1935: 1931: 1926: 1923: 1922: 1887: 1878: 1867: 1863: 1854: 1849: 1845: 1841: 1837: 1814: 1805: 1799: 1795: 1794: 1790: 1767: 1762: 1758: 1753: 1750: 1749: 1730: 1727: 1726: 1704: 1699: 1696: 1695: 1672: 1650: 1645: 1641: 1629: 1625: 1624: 1620: 1619: 1607: 1601: 1598: 1597: 1573: 1569: 1567: 1564: 1563: 1541: 1536: 1533: 1532: 1516: 1513: 1512: 1509: 1482: 1477: 1474: 1473: 1447: 1445: 1442: 1441: 1411: 1407: 1403: 1398: 1395: 1394: 1378: 1375: 1374: 1357: 1353: 1351: 1348: 1347: 1331: 1328: 1327: 1311: 1308: 1307: 1272: 1268: 1260: 1259: 1255: 1244: 1241: 1240: 1234: 1213: 1210: 1209: 1187: 1186: 1177: 1164: 1160: 1158: 1155: 1154: 1129: 1125: 1121: 1116: 1113: 1112: 1096: 1093: 1092: 1074: 1072: 1069: 1068: 1039: 1035: 1029: 1025: 1003: 997: 992: 987: 983: 978: 975: 974: 971:heteroskedastic 942: 938: 929: 925: 920: 914: 910: 909: 905: 900: 897: 896: 875: 871: 867: 862: 859: 858: 842: 839: 838: 821: 817: 808: 804: 802: 799: 798: 776: 773: 772: 756: 753: 752: 730: 727: 726: 709: 705: 703: 700: 699: 682: 678: 676: 673: 672: 622: 618: 605: 601: 597: 579: 566: 562: 560: 557: 556: 546: 538: 493: 453: 433:Goodness of fit 140:Discrete choice 75: 64: 58: 55: 45:Please help to 44: 28: 24: 17: 12: 11: 5: 5622: 5612: 5611: 5594: 5593: 5591: 5590: 5578: 5566: 5552: 5539: 5536: 5535: 5532: 5531: 5528: 5527: 5525: 5524: 5519: 5514: 5509: 5504: 5498: 5496: 5490: 5489: 5487: 5486: 5481: 5476: 5471: 5466: 5461: 5456: 5451: 5446: 5441: 5435: 5433: 5427: 5426: 5424: 5423: 5418: 5413: 5404: 5399: 5394: 5388: 5386: 5380: 5379: 5377: 5376: 5371: 5366: 5357: 5355:Bioinformatics 5351: 5349: 5339: 5338: 5326: 5325: 5322: 5321: 5318: 5317: 5314: 5313: 5311: 5310: 5304: 5302: 5298: 5297: 5295: 5294: 5288: 5286: 5280: 5279: 5277: 5276: 5271: 5266: 5261: 5255: 5253: 5244: 5238: 5237: 5234: 5233: 5231: 5230: 5225: 5220: 5215: 5210: 5204: 5202: 5196: 5195: 5193: 5192: 5187: 5182: 5174: 5169: 5164: 5163: 5162: 5160:partial (PACF) 5151: 5149: 5143: 5142: 5140: 5139: 5134: 5129: 5121: 5116: 5110: 5108: 5107:Specific tests 5104: 5103: 5101: 5100: 5095: 5090: 5085: 5080: 5075: 5070: 5065: 5059: 5057: 5050: 5044: 5043: 5041: 5040: 5039: 5038: 5037: 5036: 5021: 5020: 5019: 5009: 5007:Classification 5004: 4999: 4994: 4989: 4984: 4979: 4973: 4971: 4965: 4964: 4962: 4961: 4956: 4954:McNemar's test 4951: 4946: 4941: 4936: 4930: 4928: 4918: 4917: 4893: 4892: 4889: 4888: 4885: 4884: 4882: 4881: 4876: 4871: 4866: 4860: 4858: 4852: 4851: 4849: 4848: 4832: 4826: 4824: 4818: 4817: 4815: 4814: 4809: 4804: 4799: 4794: 4792:Semiparametric 4789: 4784: 4778: 4776: 4772: 4771: 4769: 4768: 4763: 4758: 4753: 4747: 4745: 4739: 4738: 4736: 4735: 4730: 4725: 4720: 4715: 4709: 4707: 4701: 4700: 4698: 4697: 4692: 4687: 4682: 4676: 4674: 4664: 4663: 4660: 4659: 4654: 4648: 4640: 4639: 4636: 4635: 4632: 4631: 4629: 4628: 4627: 4626: 4616: 4611: 4606: 4605: 4604: 4599: 4588: 4586: 4580: 4579: 4576: 4575: 4573: 4572: 4567: 4566: 4565: 4557: 4549: 4533: 4530:(Mann–Whitney) 4525: 4524: 4523: 4510: 4509: 4508: 4497: 4495: 4489: 4488: 4486: 4485: 4484: 4483: 4478: 4473: 4463: 4458: 4455:(Shapiro–Wilk) 4450: 4445: 4440: 4435: 4430: 4422: 4416: 4414: 4408: 4407: 4405: 4404: 4396: 4387: 4375: 4369: 4367:Specific tests 4363: 4362: 4359: 4358: 4356: 4355: 4350: 4345: 4339: 4337: 4331: 4330: 4328: 4327: 4322: 4321: 4320: 4310: 4309: 4308: 4298: 4292: 4290: 4284: 4283: 4281: 4280: 4279: 4278: 4273: 4263: 4258: 4253: 4248: 4243: 4237: 4235: 4229: 4228: 4226: 4225: 4220: 4219: 4218: 4213: 4212: 4211: 4206: 4191: 4190: 4189: 4184: 4179: 4174: 4163: 4161: 4152: 4146: 4145: 4143: 4142: 4137: 4132: 4131: 4130: 4120: 4115: 4114: 4113: 4103: 4102: 4101: 4096: 4091: 4081: 4076: 4071: 4070: 4069: 4064: 4059: 4043: 4042: 4041: 4036: 4031: 4021: 4020: 4019: 4014: 4004: 4003: 4002: 3992: 3991: 3990: 3980: 3975: 3970: 3964: 3962: 3952: 3951: 3939: 3938: 3935: 3934: 3931: 3930: 3928: 3927: 3922: 3917: 3912: 3906: 3904: 3898: 3897: 3895: 3894: 3889: 3884: 3878: 3876: 3872: 3871: 3869: 3868: 3863: 3858: 3853: 3848: 3843: 3838: 3832: 3830: 3824: 3823: 3821: 3820: 3818:Standard error 3815: 3810: 3805: 3804: 3803: 3798: 3787: 3785: 3779: 3778: 3776: 3775: 3770: 3765: 3760: 3755: 3750: 3748:Optimal design 3745: 3740: 3734: 3732: 3722: 3721: 3709: 3708: 3705: 3704: 3701: 3700: 3698: 3697: 3692: 3687: 3682: 3677: 3672: 3667: 3662: 3657: 3652: 3647: 3642: 3637: 3632: 3627: 3621: 3619: 3613: 3612: 3610: 3609: 3604: 3603: 3602: 3597: 3587: 3582: 3576: 3574: 3568: 3567: 3565: 3564: 3559: 3554: 3548: 3546: 3545:Summary tables 3542: 3541: 3539: 3538: 3532: 3530: 3524: 3523: 3520: 3519: 3517: 3516: 3515: 3514: 3509: 3504: 3494: 3488: 3486: 3480: 3479: 3477: 3476: 3471: 3466: 3461: 3456: 3451: 3446: 3440: 3438: 3432: 3431: 3429: 3428: 3423: 3418: 3417: 3416: 3411: 3406: 3401: 3396: 3391: 3386: 3381: 3379:Contraharmonic 3376: 3371: 3360: 3358: 3349: 3339: 3338: 3326: 3325: 3323: 3322: 3317: 3311: 3308: 3307: 3300: 3299: 3292: 3285: 3277: 3271: 3270: 3257: 3218: 3193: 3184: 3178: 3165: 3130: 3127: 3124: 3123: 3113: 3112: 3110: 3107: 3106: 3105: 3100: 3093: 3090: 3089: 3088: 3077: 3073: 3067: 3063: 3058: 3052: 3048: 3042: 3038: 3033: 3029: 3024: 3021: 3016: 3011: 3005: 3001: 2996: 2991: 2987: 2983: 2977: 2973: 2968: 2964: 2960: 2955: 2951: 2946: 2942: 2938: 2934: 2910: 2907: 2904: 2900: 2878: 2857: 2854: 2851: 2847: 2827: 2824: 2821: 2799: 2795: 2783: 2782: 2771: 2766: 2762: 2758: 2754: 2749: 2745: 2741: 2737: 2733: 2729: 2725: 2721: 2716: 2712: 2708: 2704: 2696: 2691: 2687: 2683: 2679: 2676: 2675: 2671: 2666: 2662: 2658: 2654: 2651: 2650: 2647: 2642: 2637: 2633: 2629: 2625: 2622: 2618: 2614: 2609: 2605: 2601: 2597: 2592: 2588: 2584: 2580: 2576: 2572: 2568: 2564: 2560: 2555: 2551: 2547: 2543: 2540: 2535: 2531: 2515: 2512: 2494: 2490: 2486: 2482: 2478: 2473: 2467: 2464: 2457: 2454: 2439: 2438: 2427: 2423: 2418: 2414: 2410: 2406: 2402: 2397: 2391: 2388: 2381: 2378: 2370: 2366: 2363: 2358: 2354: 2348: 2344: 2340: 2336: 2331: 2327: 2323: 2319: 2315: 2310: 2304: 2301: 2294: 2291: 2284: 2281: 2277: 2273: 2270: 2266: 2260: 2256: 2252: 2249: 2245: 2239: 2235: 2231: 2227: 2224: 2221: 2217: 2190: 2164: 2160: 2137: 2133: 2123:is binary and 2112: 2100: 2097: 2083: 2079: 2075: 2071: 2067: 2062: 2058: 2040: 2039: 2027: 2023: 2019: 2015: 2011: 2007: 2002: 1996: 1993: 1986: 1983: 1955: 1951: 1947: 1943: 1939: 1934: 1930: 1915: 1914: 1902: 1898: 1894: 1890: 1886: 1881: 1876: 1870: 1866: 1861: 1857: 1853: 1848: 1844: 1840: 1836: 1833: 1829: 1825: 1821: 1817: 1813: 1808: 1802: 1798: 1793: 1789: 1786: 1782: 1778: 1774: 1770: 1766: 1761: 1757: 1734: 1713: 1710: 1707: 1703: 1692: 1691: 1680: 1675: 1670: 1665: 1661: 1657: 1653: 1649: 1644: 1640: 1637: 1632: 1628: 1623: 1616: 1613: 1610: 1606: 1576: 1572: 1550: 1547: 1544: 1540: 1520: 1508: 1505: 1491: 1488: 1485: 1481: 1457: 1453: 1450: 1429: 1426: 1422: 1418: 1414: 1410: 1406: 1402: 1382: 1360: 1356: 1335: 1315: 1304: 1303: 1291: 1288: 1285: 1281: 1275: 1271: 1266: 1263: 1258: 1254: 1251: 1248: 1233: 1230: 1217: 1194: 1191: 1184: 1180: 1176: 1172: 1167: 1163: 1137: 1132: 1128: 1124: 1120: 1100: 1078: 1052: 1048: 1045: 1042: 1038: 1032: 1028: 1024: 1020: 1016: 1013: 1010: 1006: 1000: 995: 991: 986: 982: 973:error process 958: 955: 951: 945: 941: 937: 932: 928: 923: 917: 913: 908: 904: 883: 878: 874: 870: 866: 846: 824: 820: 816: 811: 807: 786: 783: 780: 760: 740: 737: 734: 712: 708: 685: 681: 669: 668: 656: 653: 650: 647: 644: 641: 638: 635: 630: 625: 621: 617: 613: 608: 604: 600: 596: 593: 590: 586: 582: 578: 574: 569: 565: 545: 542: 537: 534: 495: 494: 492: 491: 484: 477: 469: 466: 465: 464: 463: 448: 447: 446: 445: 440: 435: 430: 425: 420: 412: 411: 407: 406: 405: 404: 399: 394: 389: 384: 376: 375: 374: 373: 368: 363: 358: 353: 345: 344: 343: 342: 337: 332: 327: 319: 318: 317: 316: 311: 306: 298: 297: 293: 292: 291: 290: 282: 281: 280: 279: 274: 269: 264: 259: 254: 249: 244: 242:Semiparametric 239: 234: 226: 225: 224: 223: 218: 213: 211:Random effects 208: 203: 195: 194: 193: 192: 187: 185:Ordered probit 182: 177: 172: 167: 162: 157: 152: 147: 142: 137: 132: 124: 123: 122: 121: 116: 111: 106: 98: 97: 93: 92: 86: 85: 77: 76: 31: 29: 22: 15: 9: 6: 4: 3: 2: 5621: 5610: 5607: 5606: 5604: 5589: 5588: 5579: 5577: 5576: 5567: 5565: 5564: 5559: 5553: 5551: 5550: 5541: 5540: 5537: 5523: 5520: 5518: 5517:Geostatistics 5515: 5513: 5510: 5508: 5505: 5503: 5500: 5499: 5497: 5495: 5491: 5485: 5484:Psychometrics 5482: 5480: 5477: 5475: 5472: 5470: 5467: 5465: 5462: 5460: 5457: 5455: 5452: 5450: 5447: 5445: 5442: 5440: 5437: 5436: 5434: 5432: 5428: 5422: 5419: 5417: 5414: 5412: 5408: 5405: 5403: 5400: 5398: 5395: 5393: 5390: 5389: 5387: 5385: 5381: 5375: 5372: 5370: 5367: 5365: 5361: 5358: 5356: 5353: 5352: 5350: 5348: 5347:Biostatistics 5344: 5340: 5336: 5331: 5327: 5309: 5308:Log-rank test 5306: 5305: 5303: 5299: 5293: 5290: 5289: 5287: 5285: 5281: 5275: 5272: 5270: 5267: 5265: 5262: 5260: 5257: 5256: 5254: 5252: 5248: 5245: 5243: 5239: 5229: 5226: 5224: 5221: 5219: 5216: 5214: 5211: 5209: 5206: 5205: 5203: 5201: 5197: 5191: 5188: 5186: 5183: 5181: 5179:(Box–Jenkins) 5175: 5173: 5170: 5168: 5165: 5161: 5158: 5157: 5156: 5153: 5152: 5150: 5148: 5144: 5138: 5135: 5133: 5132:Durbin–Watson 5130: 5128: 5122: 5120: 5117: 5115: 5114:Dickey–Fuller 5112: 5111: 5109: 5105: 5099: 5096: 5094: 5091: 5089: 5088:Cointegration 5086: 5084: 5081: 5079: 5076: 5074: 5071: 5069: 5066: 5064: 5063:Decomposition 5061: 5060: 5058: 5054: 5051: 5049: 5045: 5035: 5032: 5031: 5030: 5027: 5026: 5025: 5022: 5018: 5015: 5014: 5013: 5010: 5008: 5005: 5003: 5000: 4998: 4995: 4993: 4990: 4988: 4985: 4983: 4980: 4978: 4975: 4974: 4972: 4970: 4966: 4960: 4957: 4955: 4952: 4950: 4947: 4945: 4942: 4940: 4937: 4935: 4934:Cohen's kappa 4932: 4931: 4929: 4927: 4923: 4919: 4915: 4911: 4907: 4903: 4898: 4894: 4880: 4877: 4875: 4872: 4870: 4867: 4865: 4862: 4861: 4859: 4857: 4853: 4847: 4843: 4839: 4833: 4831: 4828: 4827: 4825: 4823: 4819: 4813: 4810: 4808: 4805: 4803: 4800: 4798: 4795: 4793: 4790: 4788: 4787:Nonparametric 4785: 4783: 4780: 4779: 4777: 4773: 4767: 4764: 4762: 4759: 4757: 4754: 4752: 4749: 4748: 4746: 4744: 4740: 4734: 4731: 4729: 4726: 4724: 4721: 4719: 4716: 4714: 4711: 4710: 4708: 4706: 4702: 4696: 4693: 4691: 4688: 4686: 4683: 4681: 4678: 4677: 4675: 4673: 4669: 4665: 4658: 4655: 4653: 4650: 4649: 4645: 4641: 4625: 4622: 4621: 4620: 4617: 4615: 4612: 4610: 4607: 4603: 4600: 4598: 4595: 4594: 4593: 4590: 4589: 4587: 4585: 4581: 4571: 4568: 4564: 4558: 4556: 4550: 4548: 4542: 4541: 4540: 4537: 4536:Nonparametric 4534: 4532: 4526: 4522: 4519: 4518: 4517: 4511: 4507: 4506:Sample median 4504: 4503: 4502: 4499: 4498: 4496: 4494: 4490: 4482: 4479: 4477: 4474: 4472: 4469: 4468: 4467: 4464: 4462: 4459: 4457: 4451: 4449: 4446: 4444: 4441: 4439: 4436: 4434: 4431: 4429: 4427: 4423: 4421: 4418: 4417: 4415: 4413: 4409: 4403: 4401: 4397: 4395: 4393: 4388: 4386: 4381: 4377: 4376: 4373: 4370: 4368: 4364: 4354: 4351: 4349: 4346: 4344: 4341: 4340: 4338: 4336: 4332: 4326: 4323: 4319: 4316: 4315: 4314: 4311: 4307: 4304: 4303: 4302: 4299: 4297: 4294: 4293: 4291: 4289: 4285: 4277: 4274: 4272: 4269: 4268: 4267: 4264: 4262: 4259: 4257: 4254: 4252: 4249: 4247: 4244: 4242: 4239: 4238: 4236: 4234: 4230: 4224: 4221: 4217: 4214: 4210: 4207: 4205: 4202: 4201: 4200: 4197: 4196: 4195: 4192: 4188: 4185: 4183: 4180: 4178: 4175: 4173: 4170: 4169: 4168: 4165: 4164: 4162: 4160: 4156: 4153: 4151: 4147: 4141: 4138: 4136: 4133: 4129: 4126: 4125: 4124: 4121: 4119: 4116: 4112: 4111:loss function 4109: 4108: 4107: 4104: 4100: 4097: 4095: 4092: 4090: 4087: 4086: 4085: 4082: 4080: 4077: 4075: 4072: 4068: 4065: 4063: 4060: 4058: 4052: 4049: 4048: 4047: 4044: 4040: 4037: 4035: 4032: 4030: 4027: 4026: 4025: 4022: 4018: 4015: 4013: 4010: 4009: 4008: 4005: 4001: 3998: 3997: 3996: 3993: 3989: 3986: 3985: 3984: 3981: 3979: 3976: 3974: 3971: 3969: 3966: 3965: 3963: 3961: 3957: 3953: 3949: 3944: 3940: 3926: 3923: 3921: 3918: 3916: 3913: 3911: 3908: 3907: 3905: 3903: 3899: 3893: 3890: 3888: 3885: 3883: 3880: 3879: 3877: 3873: 3867: 3864: 3862: 3859: 3857: 3854: 3852: 3849: 3847: 3844: 3842: 3839: 3837: 3834: 3833: 3831: 3829: 3825: 3819: 3816: 3814: 3813:Questionnaire 3811: 3809: 3806: 3802: 3799: 3797: 3794: 3793: 3792: 3789: 3788: 3786: 3784: 3780: 3774: 3771: 3769: 3766: 3764: 3761: 3759: 3756: 3754: 3751: 3749: 3746: 3744: 3741: 3739: 3736: 3735: 3733: 3731: 3727: 3723: 3719: 3714: 3710: 3696: 3693: 3691: 3688: 3686: 3683: 3681: 3678: 3676: 3673: 3671: 3668: 3666: 3663: 3661: 3658: 3656: 3653: 3651: 3648: 3646: 3643: 3641: 3640:Control chart 3638: 3636: 3633: 3631: 3628: 3626: 3623: 3622: 3620: 3618: 3614: 3608: 3605: 3601: 3598: 3596: 3593: 3592: 3591: 3588: 3586: 3583: 3581: 3578: 3577: 3575: 3573: 3569: 3563: 3560: 3558: 3555: 3553: 3550: 3549: 3547: 3543: 3537: 3534: 3533: 3531: 3529: 3525: 3513: 3510: 3508: 3505: 3503: 3500: 3499: 3498: 3495: 3493: 3490: 3489: 3487: 3485: 3481: 3475: 3472: 3470: 3467: 3465: 3462: 3460: 3457: 3455: 3452: 3450: 3447: 3445: 3442: 3441: 3439: 3437: 3433: 3427: 3424: 3422: 3419: 3415: 3412: 3410: 3407: 3405: 3402: 3400: 3397: 3395: 3392: 3390: 3387: 3385: 3382: 3380: 3377: 3375: 3372: 3370: 3367: 3366: 3365: 3362: 3361: 3359: 3357: 3353: 3350: 3348: 3344: 3340: 3336: 3331: 3327: 3321: 3318: 3316: 3313: 3312: 3309: 3305: 3298: 3293: 3291: 3286: 3284: 3279: 3278: 3275: 3267: 3263: 3258: 3254: 3250: 3246: 3242: 3237: 3232: 3228: 3224: 3219: 3215: 3211: 3207: 3203: 3199: 3194: 3190: 3185: 3181: 3175: 3171: 3166: 3162: 3158: 3154: 3150: 3146: 3142: 3138: 3133: 3132: 3118: 3114: 3104: 3101: 3099: 3096: 3095: 3075: 3071: 3065: 3061: 3050: 3046: 3040: 3036: 3031: 3027: 3022: 3019: 3014: 3009: 3003: 2999: 2989: 2985: 2981: 2975: 2971: 2966: 2962: 2958: 2953: 2949: 2944: 2940: 2936: 2932: 2925: 2924: 2923: 2908: 2905: 2902: 2898: 2890: 2876: 2855: 2852: 2849: 2845: 2825: 2822: 2819: 2797: 2793: 2769: 2764: 2760: 2756: 2752: 2747: 2743: 2739: 2735: 2731: 2727: 2723: 2719: 2714: 2710: 2706: 2702: 2694: 2689: 2685: 2681: 2677: 2669: 2664: 2660: 2656: 2652: 2645: 2640: 2635: 2631: 2627: 2623: 2620: 2616: 2612: 2607: 2603: 2599: 2595: 2590: 2586: 2582: 2578: 2574: 2570: 2566: 2562: 2558: 2553: 2549: 2545: 2541: 2538: 2533: 2529: 2521: 2520: 2519: 2511: 2509: 2508:leave-one-out 2492: 2488: 2484: 2480: 2476: 2471: 2465: 2462: 2452: 2425: 2421: 2416: 2412: 2408: 2404: 2400: 2395: 2389: 2386: 2376: 2368: 2364: 2361: 2356: 2352: 2346: 2342: 2338: 2334: 2329: 2325: 2321: 2317: 2313: 2308: 2302: 2299: 2289: 2282: 2279: 2275: 2271: 2268: 2264: 2258: 2254: 2250: 2247: 2243: 2237: 2233: 2229: 2225: 2222: 2219: 2215: 2208: 2207: 2206: 2204: 2188: 2180: 2162: 2158: 2135: 2131: 2110: 2096: 2081: 2077: 2073: 2069: 2065: 2060: 2056: 2049:estimator of 2048: 2045: 2044:leave-one-out 2025: 2021: 2017: 2013: 2009: 2005: 2000: 1994: 1991: 1981: 1970: 1969: 1968: 1953: 1949: 1945: 1941: 1937: 1932: 1928: 1920: 1900: 1896: 1892: 1888: 1884: 1874: 1868: 1864: 1859: 1855: 1851: 1846: 1842: 1838: 1834: 1831: 1827: 1823: 1819: 1815: 1811: 1800: 1796: 1791: 1787: 1784: 1780: 1776: 1772: 1768: 1764: 1759: 1755: 1748: 1747: 1746: 1732: 1711: 1708: 1705: 1701: 1678: 1673: 1668: 1663: 1659: 1655: 1651: 1647: 1642: 1638: 1635: 1630: 1626: 1621: 1614: 1611: 1608: 1604: 1596: 1595: 1594: 1592: 1574: 1570: 1548: 1545: 1542: 1538: 1518: 1504: 1489: 1486: 1483: 1479: 1471: 1455: 1451: 1448: 1427: 1424: 1420: 1416: 1408: 1404: 1400: 1380: 1358: 1354: 1333: 1313: 1289: 1286: 1283: 1279: 1273: 1269: 1264: 1261: 1256: 1252: 1249: 1246: 1239: 1238: 1237: 1229: 1215: 1189: 1182: 1178: 1174: 1170: 1165: 1161: 1152: 1135: 1130: 1126: 1122: 1118: 1098: 1076: 1065: 1050: 1046: 1043: 1040: 1036: 1030: 1026: 1022: 1018: 1014: 1011: 1008: 998: 993: 989: 984: 980: 972: 956: 953: 949: 943: 939: 935: 930: 926: 915: 911: 906: 902: 881: 876: 872: 868: 864: 844: 822: 814: 809: 805: 784: 781: 778: 758: 738: 735: 732: 710: 706: 683: 679: 654: 651: 648: 645: 642: 639: 636: 633: 628: 623: 619: 615: 611: 606: 602: 598: 594: 591: 588: 584: 580: 576: 572: 567: 563: 555: 554: 553: 551: 541: 533: 531: 527: 523: 518: 517:nonparametric 514: 510: 506: 502: 490: 485: 483: 478: 476: 471: 470: 468: 467: 462: 457: 452: 451: 450: 449: 444: 441: 439: 436: 434: 431: 429: 426: 424: 421: 419: 416: 415: 414: 413: 409: 408: 403: 400: 398: 395: 393: 390: 388: 385: 383: 380: 379: 378: 377: 372: 369: 367: 364: 362: 359: 357: 354: 352: 349: 348: 347: 346: 341: 338: 336: 333: 331: 328: 326: 323: 322: 321: 320: 315: 312: 310: 307: 305: 304:Least squares 302: 301: 300: 299: 295: 294: 289: 286: 285: 284: 283: 278: 275: 273: 270: 268: 265: 263: 260: 258: 255: 253: 250: 248: 245: 243: 240: 238: 237:Nonparametric 235: 233: 230: 229: 228: 227: 222: 219: 217: 214: 212: 209: 207: 206:Fixed effects 204: 202: 199: 198: 197: 196: 191: 188: 186: 183: 181: 180:Ordered logit 178: 176: 173: 171: 168: 166: 163: 161: 158: 156: 153: 151: 148: 146: 143: 141: 138: 136: 133: 131: 128: 127: 126: 125: 120: 117: 115: 112: 110: 107: 105: 102: 101: 100: 99: 95: 94: 91: 88: 87: 83: 82: 73: 70: 62: 52: 48: 42: 41: 35: 30: 21: 20: 5585: 5573: 5554: 5547: 5459:Econometrics 5409: / 5392:Chemometrics 5369:Epidemiology 5362: / 5335:Applications 5177:ARIMA model 5124:Q-statistic 5073:Stationarity 4969:Multivariate 4912: / 4908: / 4906:Multivariate 4904: / 4844: / 4840: / 4791: 4614:Bayes factor 4513:Signed rank 4425: 4399: 4391: 4379: 4074:Completeness 3910:Cohort study 3808:Opinion poll 3743:Missing data 3730:Study design 3685:Scatter plot 3607:Scatter plot 3600:Spearman's ρ 3562:Grouped data 3265: 3261: 3226: 3223:Econometrica 3222: 3205: 3201: 3188: 3169: 3144: 3141:Econometrica 3140: 3136: 3117: 2891: 2784: 2517: 2440: 2102: 2041: 1916: 1693: 1510: 1469: 1305: 1235: 1232:Index models 1066: 670: 552:is given by 547: 539: 530:inconsistent 526:misspecified 504: 498: 361:Non-negative 241: 65: 56: 37: 5587:WikiProject 5502:Cartography 5464:Jurimetrics 5416:Reliability 5147:Time domain 5126:(Ljung–Box) 5048:Time-series 4926:Categorical 4910:Time-series 4902:Categorical 4837:(Bernoulli) 4672:Correlation 4652:Correlation 4448:Jarque–Bera 4420:Chi-squared 4182:M-estimator 4135:Asymptotics 4079:Sufficiency 3846:Interaction 3758:Replication 3738:Effect size 3695:Violin plot 3675:Radar chart 3655:Forest plot 3645:Correlogram 3595:Kendall's τ 2838:vector and 2510:estimator. 2179:independent 1468:which is a 371:Regularized 335:Generalized 267:Least angle 165:Mixed logit 59:August 2015 51:introducing 5454:Demography 5172:ARMA model 4977:Regression 4554:(Friedman) 4515:(Wilcoxon) 4453:Normality 4443:Lilliefors 4390:Student's 4266:Resampling 4140:Robustness 4128:divergence 4118:Efficiency 4056:(monotone) 4051:Likelihood 3968:Population 3801:Stratified 3753:Population 3572:Dependence 3528:Count data 3459:Percentile 3436:Dispersion 3369:Arithmetic 3304:Statistics 3268:: 757–796. 3129:References 1393:satisfies 513:parametric 509:regression 501:statistics 410:Background 314:Non-linear 296:Estimation 34:references 4835:Logistic 4602:posterior 4528:Rank sum 4276:Jackknife 4271:Bootstrap 4089:Bootstrap 4024:Parameter 3973:Statistic 3768:Statistic 3680:Run chart 3665:Pie chart 3660:Histogram 3650:Fan chart 3625:Bar chart 3507:L-moments 3394:Geometric 3231:CiteSeerX 3020:− 2933:γ 2906:⋅ 2899:γ 2846:β 2823:× 2736:γ 2678:β 2653:α 2579:β 2542:α 2489:β 2463:− 2456:^ 2413:β 2387:− 2380:^ 2365:⁡ 2343:∑ 2326:β 2300:− 2293:^ 2283:− 2272:⁡ 2251:− 2234:∑ 2223:β 2189:β 2078:β 2018:β 1992:− 1985:^ 1950:β 1897:β 1865:β 1824:β 1777:β 1733:β 1709:⋅ 1660:β 1636:− 1605:∑ 1571:β 1546:⋅ 1487:⋅ 1456:β 1355:β 1270:β 1193:^ 1190:β 1171:− 1149:from the 1099:β 1027:σ 845:β 815:∈ 782:× 759:β 736:× 646:… 589:β 507:includes 277:Segmented 5603:Category 5549:Category 5242:Survival 5119:Johansen 4842:Binomial 4797:Isotonic 4384:(normal) 4029:location 3836:Blocking 3791:Sampling 3670:Q–Q plot 3635:Box plot 3617:Graphics 3512:Skewness 3502:Kurtosis 3474:Variance 3404:Heronian 3399:Harmonic 3092:See also 2990:′ 2732:′ 2636:′ 2575:′ 2485:′ 2409:′ 2322:′ 2074:′ 2014:′ 1946:′ 1893:′ 1860:′ 1820:′ 1773:′ 1656:′ 1452:′ 1265:′ 1183:′ 585:′ 392:Bayesian 330:Weighted 325:Ordinary 257:Isotonic 252:Quantile 5575:Commons 5522:Kriging 5407:Process 5364:studies 5223:Wavelet 5056:General 4223:Plug-in 4017:L space 3796:Cluster 3497:Moments 3315:Outline 3253:2951556 3161:1912705 2506:is the 536:Methods 351:Partial 190:Poisson 47:improve 5444:Census 5034:Normal 4982:Manova 4802:Robust 4552:2-way 4544:1-way 4382:-test 4053:  3630:Biplot 3421:Median 3414:Lehmer 3356:Center 3251:  3233:  3176:  3159:  2785:where 2441:where 2201:using 1919:kernel 1917:using 1470:scalar 1306:where 671:where 309:Linear 247:Robust 170:Probit 96:Models 36:, but 5068:Trend 4597:prior 4539:anova 4428:-test 4402:-test 4394:-test 4301:Power 4246:Pivot 4039:shape 4034:scale 3484:Shape 3464:Range 3409:Heinz 3384:Cubic 3320:Index 3249:JSTOR 3157:JSTOR 3109:Notes 2812:is a 1967:with 771:is a 725:is a 356:Total 272:Local 5301:Test 4501:Sign 4353:Wald 3426:Mode 3364:Mean 3174:ISBN 2150:and 2042:the 1346:and 528:and 515:and 4481:BIC 4476:AIC 3241:doi 3210:doi 3149:doi 1208:on 1153:of 499:In 5605:: 3266:55 3264:. 3247:. 3239:. 3227:61 3225:. 3206:58 3204:. 3200:. 3155:. 3145:56 3143:. 2889:. 2362:ln 2269:ln 2095:. 1562:, 1503:. 1326:, 548:A 503:, 4426:G 4400:F 4392:t 4380:Z 4099:V 4094:U 3296:e 3289:t 3282:v 3255:. 3243:: 3216:. 3212:: 3191:. 3182:. 3163:. 3151:: 3137:n 3076:. 3072:] 3066:i 3062:Z 3057:| 3051:i 3047:Y 3041:i 3037:W 3032:[ 3028:E 3023:1 3015:) 3010:] 3004:i 3000:Z 2995:| 2986:i 2982:W 2976:i 2972:W 2967:[ 2963:E 2959:( 2954:= 2950:) 2945:i 2941:Z 2937:( 2909:) 2903:( 2877:z 2856:) 2853:z 2850:( 2826:1 2820:k 2798:i 2794:X 2770:, 2765:i 2761:u 2757:+ 2753:) 2748:i 2744:Z 2740:( 2728:i 2724:W 2720:= 2715:i 2711:u 2707:+ 2703:) 2695:) 2690:i 2686:Z 2682:( 2670:) 2665:i 2661:Z 2657:( 2646:( 2641:) 2632:i 2628:X 2624:+ 2621:1 2617:( 2613:= 2608:i 2604:u 2600:+ 2596:) 2591:i 2587:Z 2583:( 2571:i 2567:X 2563:+ 2559:) 2554:i 2550:Z 2546:( 2539:= 2534:i 2530:Y 2493:) 2481:i 2477:X 2472:( 2466:i 2453:g 2426:, 2422:) 2417:) 2405:i 2401:X 2396:( 2390:i 2377:g 2369:( 2357:i 2353:Y 2347:i 2339:+ 2335:) 2330:) 2318:i 2314:X 2309:( 2303:i 2290:g 2280:1 2276:( 2265:) 2259:i 2255:Y 2248:1 2244:( 2238:i 2230:= 2226:) 2220:( 2216:L 2163:i 2159:u 2136:i 2132:X 2111:y 2082:) 2070:i 2066:X 2061:( 2057:G 2026:, 2022:) 2010:i 2006:X 2001:( 1995:i 1982:G 1954:) 1942:i 1938:X 1933:( 1929:g 1901:] 1889:i 1885:X 1880:| 1875:) 1869:o 1856:i 1852:X 1847:( 1843:g 1839:[ 1835:E 1832:= 1828:) 1816:i 1812:X 1807:| 1801:i 1797:Y 1792:( 1788:E 1785:= 1781:) 1769:i 1765:X 1760:( 1756:G 1712:) 1706:( 1702:g 1679:. 1674:2 1669:) 1664:) 1652:i 1648:X 1643:( 1639:g 1631:i 1627:Y 1622:( 1615:1 1612:= 1609:i 1575:0 1549:) 1543:( 1539:g 1519:y 1490:) 1484:( 1480:g 1449:x 1428:0 1425:= 1421:) 1417:X 1413:| 1409:u 1405:( 1401:E 1381:u 1359:0 1334:X 1314:Y 1290:, 1287:u 1284:+ 1280:) 1274:0 1262:X 1257:( 1253:g 1250:= 1247:Y 1216:z 1179:i 1175:X 1166:i 1162:Y 1136:) 1131:i 1127:Z 1123:( 1119:g 1077:n 1051:) 1047:z 1044:, 1041:x 1037:( 1031:2 1023:= 1019:) 1015:z 1012:, 1009:x 1005:| 999:2 994:i 990:u 985:( 981:E 957:0 954:= 950:) 944:i 940:Z 936:, 931:i 927:X 922:| 916:i 912:u 907:( 903:E 882:) 877:i 873:Z 869:( 865:g 823:q 819:R 810:i 806:Z 785:1 779:p 739:1 733:p 711:i 707:X 684:i 680:Y 655:, 652:n 649:, 643:, 640:1 637:= 634:i 629:, 624:i 620:u 616:+ 612:) 607:i 603:Z 599:( 595:g 592:+ 581:i 577:X 573:= 568:i 564:Y 488:e 481:t 474:v 72:) 66:( 61:) 57:( 43:.

Index

references
inline citations
improve
introducing
Learn how and when to remove this message
Regression analysis
Linear regression
Simple regression
Polynomial regression
General linear model
Generalized linear model
Vector generalized linear model
Discrete choice
Binomial regression
Binary regression
Logistic regression
Multinomial logistic regression
Mixed logit
Probit
Multinomial probit
Ordered logit
Ordered probit
Poisson
Multilevel model
Fixed effects
Random effects
Linear mixed-effects model
Nonlinear mixed-effects model
Nonlinear regression
Nonparametric

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑