3884:
3870:
3908:
3896:
972:
401:
689:
1374:
761:
1457:
as a linear function of past values of the same time series and of current and past values of the innovations. This particular aspect of the structure means that it is relatively simple to derive relations for the mean and
173:
241:
524:
1229:
1524:
There are some other instances where "nonlinear model" is used to contrast with a linearly structured model, although the term "linear model" is not usually applied. One example of this is
450:
1404:
1152:
481:
57:
with a different meaning. In each case, the designation "linear" is used to identify a subclass of models for which substantial reduction in the complexity of the related
1514:
1179:
1125:
1068:
1038:
1008:
753:
719:
516:
1487:
967:{\displaystyle S=\sum _{i=1}^{n}\varepsilon _{i}^{2}=\sum _{i=1}^{n}\left(Y_{i}-\beta _{0}-\beta _{1}\phi _{1}(X_{i1})-\cdots -\beta _{p}\phi _{p}(X_{ip})\right)^{2}.}
233:
1455:
1221:
1095:
200:
3005:
3510:
1428:
3660:
3284:
1925:
3058:
3497:
1920:
1620:
518:
in a linear way in the above relationship. Alternatively, one may say that the predicted values corresponding to the above model, namely
2524:
1672:
1193:
1525:
1430:
at later times. In this instance the use of the term "linear model" refers to the structure of the above relationship in representing
396:{\displaystyle Y_{i}=\beta _{0}+\beta _{1}\phi _{1}(X_{i1})+\cdots +\beta _{p}\phi _{p}(X_{ip})+\varepsilon _{i}\qquad i=1,\ldots ,n}
3307:
3199:
1590:
82:
3912:
3485:
3359:
49:
in the system. The most common occurrence is in connection with regression models and the term is often taken as synonymous with
1462:
properties of the time series. Note that here the "linear" part of the term "linear model" is not referring to the coefficients
684:{\displaystyle {\hat {Y}}_{i}=\beta _{0}+\beta _{1}\phi _{1}(X_{i1})+\cdots +\beta _{p}\phi _{p}(X_{ip})\qquad (i=1,\ldots ,n),}
3543:
3204:
2949:
2320:
1910:
2534:
3594:
2806:
2613:
2502:
2460:
1407:
1699:
3837:
2796:
2846:
3388:
3337:
3322:
3312:
3181:
3053:
3020:
2801:
2631:
1369:{\displaystyle X_{t}=c+\varepsilon _{t}+\sum _{i=1}^{p}\phi _{i}X_{t-i}+\sum _{i=1}^{q}\theta _{i}\varepsilon _{t-i}.\,}
3457:
2758:
3732:
3533:
2512:
2181:
1645:
3617:
3584:
3939:
3589:
3332:
3091:
2997:
2977:
2885:
2596:
2414:
1897:
1769:
31:
2763:
2529:
2387:
3349:
3117:
2838:
2692:
2621:
2541:
2399:
2380:
2088:
1809:
1547:
409:
3462:
3832:
3599:
3147:
3112:
3076:
2861:
2303:
2212:
2171:
2083:
1774:
1613:
1542:
487:
representing errors in the relationship. The "linear" part of the designation relates to the appearance of the
2869:
2853:
3741:
3354:
3294:
3231:
2591:
2453:
2443:
2293:
2207:
3502:
3439:
3934:
3779:
3709:
3194:
3081:
2078:
1975:
1882:
1761:
1660:
488:
3900:
2778:
3804:
3746:
3689:
3515:
3408:
3317:
3043:
2927:
2786:
2668:
2660:
2475:
2371:
2349:
2308:
2273:
2240:
2186:
2161:
2116:
2055:
2015:
1817:
1640:
203:
3883:
2773:
1382:
1130:
459:
3727:
3302:
3251:
3227:
3189:
3107:
3086:
3038:
2917:
2895:
2864:
2650:
2601:
2519:
2492:
2448:
2404:
2166:
1942:
1822:
1537:
54:
3874:
3799:
3722:
3403:
3167:
3160:
3122:
3030:
3010:
2982:
2715:
2581:
2576:
2566:
2558:
2376:
2337:
2227:
2217:
2126:
1905:
1861:
1779:
1704:
1606:
3449:
1154:
which makes it relatively easy to determine the statistical properties of the estimated values of
3888:
3699:
3553:
3398:
3274:
3171:
3155:
3132:
2909:
2643:
2626:
2586:
2497:
2392:
2354:
2325:
2285:
2245:
2191:
2108:
1794:
1789:
1492:
58:
1157:
1103:
1046:
1016:
986:
731:
697:
494:
1465:
3794:
3764:
3756:
3576:
3567:
3492:
3423:
3279:
3264:
3239:
3127:
3068:
2934:
2922:
2548:
2465:
2409:
2332:
2176:
2098:
1877:
1751:
1586:
1562:
1557:
76:
70:
50:
977:
From this, it can readily be seen that the "linear" aspect of the model means the following:
3819:
3774:
3538:
3525:
3418:
3393:
3327:
3259:
3137:
2745:
2638:
2571:
2484:
2431:
2250:
2121:
1915:
1714:
1681:
453:
208:
1433:
1199:
1073:
178:
3736:
3480:
3342:
3269:
2944:
2818:
2791:
2768:
2737:
2364:
2359:
2313:
2043:
1694:
484:
3685:
3680:
2143:
2073:
1719:
1413:
1516:, as it would be in the case of a regression model, which looks structurally similar.
3928:
3842:
3809:
3672:
3633:
3444:
3413:
2877:
2831:
2436:
2138:
1965:
1729:
1724:
1552:
1410:
which are new random effects that appear at a certain time but also affect values of
725:
1995:
3784:
3717:
3694:
3609:
2939:
2235:
2133:
2068:
2010:
1932:
1887:
3827:
3789:
3472:
3373:
3235:
3048:
3015:
2507:
2424:
2419:
2063:
2020:
2000:
1980:
1970:
1739:
2673:
2153:
1853:
1784:
1734:
1709:
1629:
1459:
38:
17:
2826:
2678:
2298:
2093:
2005:
1990:
1985:
1950:
46:
2342:
1960:
1837:
1832:
1827:
1799:
3847:
3548:
3769:
2750:
2724:
2704:
1955:
1746:
1689:
3658:
3225:
2972:
2271:
2041:
1658:
1602:
1598:
168:{\displaystyle (Y_{i},X_{i1},\ldots ,X_{ip}),\,i=1,\ldots ,n}
1013:
the derivatives of the function are linear functions of the
983:
the function to be minimised is a quadratic function of the
755:
are determined by minimising a sum of squares function
1010:
for which minimisation is a relatively simple problem;
724:
Given that estimation is undertaken on the basis of a
1495:
1468:
1436:
1416:
1385:
1232:
1202:
1160:
1133:
1106:
1076:
1049:
1019:
989:
764:
734:
700:
527:
497:
462:
412:
244:
211:
181:
85:
3511:
Autoregressive conditional heteroskedasticity (ARCH)
3818:
3755:
3708:
3671:
3626:
3608:
3575:
3566:
3524:
3471:
3432:
3381:
3372:
3293:
3250:
3180:
3146:
3100:
3067:
3029:
2996:
2908:
2817:
2736:
2691:
2659:
2612:
2557:
2483:
2474:
2284:
2226:
2200:
2152:
2107:
2054:
1941:
1896:
1870:
1852:
1808:
1760:
1680:
1671:
1583:Non-linear and Non-stationary time series analysis
1508:
1481:
1449:
1422:
1398:
1368:
1215:
1173:
1146:
1119:
1089:
1062:
1032:
1002:
966:
747:
713:
683:
510:
475:
444:
395:
227:
194:
167:
3059:Multivariate adaptive regression splines (MARS)
1192:An example of a linear time series model is an
1223:} in a time series can be written in the form
728:analysis, estimates of the unknown parameters
1614:
1040:making it easy to find the minimising values;
8:
445:{\displaystyle \phi _{1},\ldots ,\phi _{p}}
3668:
3655:
3572:
3378:
3247:
3222:
2993:
2969:
2697:
2480:
2281:
2268:
2051:
2038:
1677:
1668:
1655:
1621:
1607:
1599:
1127:are linear functions of the random errors
53:model. However, the term is also used in
1500:
1494:
1473:
1467:
1441:
1435:
1415:
1390:
1384:
1365:
1350:
1340:
1330:
1319:
1300:
1290:
1280:
1269:
1256:
1237:
1231:
1207:
1201:
1165:
1159:
1138:
1132:
1111:
1105:
1081:
1075:
1070:are linear functions of the observations
1054:
1048:
1024:
1018:
994:
988:
955:
938:
925:
915:
890:
877:
867:
854:
841:
825:
814:
801:
796:
786:
775:
763:
739:
733:
705:
699:
638:
625:
615:
590:
577:
567:
554:
541:
530:
529:
526:
502:
496:
467:
461:
436:
417:
411:
365:
346:
333:
323:
298:
285:
275:
262:
249:
243:
216:
210:
186:
180:
143:
128:
106:
93:
84:
456:functions. In the above, the quantities
1574:
79:is as follows. Given a (random) sample
3585:KaplanâMeier estimator (product limit)
175:the relation between the observations
7:
3895:
3595:Accelerated failure time (AFT) model
3907:
3190:Analysis of variance (ANOVA, anova)
1194:autoregressive moving average model
3285:CochranâMantelâHaenszel statistics
1911:Pearson product-moment correlation
1526:nonlinear dimensionality reduction
1406:are random variables representing
45:refers to any model which assumes
25:
3906:
3894:
3882:
3869:
3868:
1399:{\displaystyle \varepsilon _{i}}
1147:{\displaystyle \varepsilon _{i}}
476:{\displaystyle \varepsilon _{i}}
3544:Least-squares spectral analysis
650:
371:
2525:Mean-unbiased minimum-variance
947:
931:
899:
883:
675:
651:
647:
631:
599:
583:
535:
355:
339:
307:
291:
137:
86:
1:
3838:Geographic information system
3054:Simultaneous equations models
1196:. Here the model for values {
75:For the regression case, the
3021:Coefficient of determination
2632:Uniformly most powerful test
694:are linear functions of the
3590:Proportional hazards models
3534:Spectral density estimation
3516:Vector autoregression (VAR)
2950:Maximum posterior estimator
2182:Randomized controlled trial
1509:{\displaystyle \theta _{i}}
1379:where again the quantities
3956:
3350:Multivariate distributions
1770:Average absolute deviation
1174:{\displaystyle \beta _{j}}
1120:{\displaystyle \beta _{j}}
1063:{\displaystyle \beta _{j}}
1033:{\displaystyle \beta _{j}}
1003:{\displaystyle \beta _{j}}
748:{\displaystyle \beta _{j}}
714:{\displaystyle \beta _{j}}
511:{\displaystyle \beta _{j}}
68:
32:linear model of innovation
29:
3864:
3667:
3654:
3338:Structural equation model
3246:
3221:
2992:
2968:
2700:
2674:Score/Lagrange multiplier
2280:
2267:
2089:Sample size determination
2050:
2037:
1667:
1654:
1636:
1548:Linear predictor function
1482:{\displaystyle \phi _{i}}
27:Type of statistical model
3833:Environmental statistics
3355:Elliptical distributions
3148:Generalized linear model
3077:Simple linear regression
2847:HodgesâLehmann estimator
2304:Probability distribution
2213:Stochastic approximation
1775:Coefficient of variation
1543:Generalized linear model
1520:Other uses in statistics
65:Linear regression models
30:Not to be confused with
3493:Cross-correlation (XCF)
3101:Non-standard predictors
2535:LehmannâScheffĂ© theorem
2208:Adaptive clinical trial
1581:Priestley, M.B. (1988)
1100:the minimising values
1043:the minimising values
489:regression coefficients
3889:Mathematics portal
3710:Engineering statistics
3618:NelsonâAalen estimator
3195:Analysis of covariance
3082:Ordinary least squares
3006:Pearson product-moment
2410:Statistical functional
2321:Empirical distribution
2154:Controlled experiments
1883:Frequency distribution
1661:Descriptive statistics
1510:
1483:
1451:
1424:
1400:
1370:
1335:
1285:
1217:
1175:
1148:
1121:
1091:
1064:
1034:
1004:
968:
830:
791:
749:
715:
685:
512:
477:
446:
397:
229:
228:{\displaystyle X_{ij}}
196:
169:
3805:Population statistics
3747:System identification
3481:Autocorrelation (ACF)
3409:Exponential smoothing
3323:Discriminant analysis
3318:Canonical correlation
3182:Partition of variance
3044:Regression validation
2888:(JonckheereâTerpstra)
2787:Likelihood-ratio test
2476:Frequentist inference
2388:Locationâscale family
2309:Sampling distribution
2274:Statistical inference
2241:Cross-sectional study
2228:Observational studies
2187:Randomized experiment
2016:Stem-and-leaf display
1818:Central limit theorem
1511:
1484:
1452:
1450:{\displaystyle X_{t}}
1425:
1401:
1371:
1315:
1265:
1218:
1216:{\displaystyle X_{t}}
1176:
1149:
1122:
1092:
1090:{\displaystyle Y_{i}}
1065:
1035:
1005:
969:
810:
771:
750:
716:
686:
513:
478:
447:
398:
230:
204:independent variables
197:
195:{\displaystyle Y_{i}}
170:
3728:Probabilistic design
3313:Principal components
3156:Exponential families
3108:Nonlinear regression
3087:General linear model
3049:Mixed effects models
3039:Errors and residuals
3016:Confounding variable
2918:Bayesian probability
2896:Van der Waerden test
2886:Ordered alternative
2651:Multiple comparisons
2530:RaoâBlackwellization
2493:Estimating equations
2449:Statistical distance
2167:Factorial experiment
1700:Arithmetic-Geometric
1538:General linear model
1493:
1466:
1434:
1414:
1383:
1230:
1200:
1158:
1131:
1104:
1074:
1047:
1017:
987:
762:
732:
698:
525:
495:
460:
410:
242:
209:
179:
83:
55:time series analysis
3800:Official statistics
3723:Methods engineering
3404:Seasonal adjustment
3172:Poisson regressions
3092:Bayesian regression
3031:Regression analysis
3011:Partial correlation
2983:Regression analysis
2582:Prediction interval
2577:Likelihood interval
2567:Confidence interval
2559:Interval estimation
2520:Unbiased estimators
2338:Model specification
2218:Up-and-down designs
1906:Partial correlation
1862:Index of dispersion
1780:Interquartile range
806:
3820:Spatial statistics
3700:Medical statistics
3600:First hitting time
3554:Whittle likelihood
3205:Degrees of freedom
3200:Multivariate ANOVA
3133:Heteroscedasticity
2945:Bayesian estimator
2910:Bayesian inference
2759:KolmogorovâSmirnov
2644:Randomization test
2614:Testing hypotheses
2587:Tolerance interval
2498:Maximum likelihood
2393:Exponential family
2326:Density estimation
2286:Statistical theory
2246:Natural experiment
2192:Scientific control
2109:Survey methodology
1795:Standard deviation
1585:, Academic Press.
1506:
1479:
1447:
1420:
1396:
1366:
1213:
1188:Time series models
1171:
1144:
1117:
1087:
1060:
1030:
1000:
964:
792:
745:
711:
681:
508:
473:
442:
393:
225:
192:
165:
59:statistical theory
3940:Regression models
3922:
3921:
3860:
3859:
3856:
3855:
3795:National accounts
3765:Actuarial science
3757:Social statistics
3650:
3649:
3646:
3645:
3642:
3641:
3577:Survival function
3562:
3561:
3424:Granger causality
3265:Contingency table
3240:Survival analysis
3217:
3216:
3213:
3212:
3069:Linear regression
2964:
2963:
2960:
2959:
2935:Credible interval
2904:
2903:
2687:
2686:
2503:Method of moments
2372:Parametric family
2333:Statistical model
2263:
2262:
2259:
2258:
2177:Random assignment
2099:Statistical power
2033:
2032:
2029:
2028:
1878:Contingency table
1848:
1847:
1715:Generalized/power
1563:Statistical model
1558:Linear regression
1423:{\displaystyle X}
538:
235:is formulated as
77:statistical model
71:Linear regression
51:linear regression
16:(Redirected from
3947:
3910:
3909:
3898:
3897:
3887:
3886:
3872:
3871:
3775:Crime statistics
3669:
3656:
3573:
3539:Fourier analysis
3526:Frequency domain
3506:
3453:
3419:Structural break
3379:
3328:Cluster analysis
3275:Log-linear model
3248:
3223:
3164:
3138:Homoscedasticity
2994:
2970:
2889:
2881:
2873:
2872:(KruskalâWallis)
2857:
2842:
2797:Cross validation
2782:
2764:AndersonâDarling
2711:
2698:
2669:Likelihood-ratio
2661:Parametric tests
2639:Permutation test
2622:1- & 2-tails
2513:Minimum distance
2485:Point estimation
2481:
2432:Optimal decision
2383:
2282:
2269:
2251:Quasi-experiment
2201:Adaptive designs
2052:
2039:
1916:Rank correlation
1678:
1669:
1656:
1623:
1616:
1609:
1600:
1593:
1579:
1515:
1513:
1512:
1507:
1505:
1504:
1488:
1486:
1485:
1480:
1478:
1477:
1456:
1454:
1453:
1448:
1446:
1445:
1429:
1427:
1426:
1421:
1405:
1403:
1402:
1397:
1395:
1394:
1375:
1373:
1372:
1367:
1361:
1360:
1345:
1344:
1334:
1329:
1311:
1310:
1295:
1294:
1284:
1279:
1261:
1260:
1242:
1241:
1222:
1220:
1219:
1214:
1212:
1211:
1180:
1178:
1177:
1172:
1170:
1169:
1153:
1151:
1150:
1145:
1143:
1142:
1126:
1124:
1123:
1118:
1116:
1115:
1096:
1094:
1093:
1088:
1086:
1085:
1069:
1067:
1066:
1061:
1059:
1058:
1039:
1037:
1036:
1031:
1029:
1028:
1009:
1007:
1006:
1001:
999:
998:
973:
971:
970:
965:
960:
959:
954:
950:
946:
945:
930:
929:
920:
919:
898:
897:
882:
881:
872:
871:
859:
858:
846:
845:
829:
824:
805:
800:
790:
785:
754:
752:
751:
746:
744:
743:
720:
718:
717:
712:
710:
709:
690:
688:
687:
682:
646:
645:
630:
629:
620:
619:
598:
597:
582:
581:
572:
571:
559:
558:
546:
545:
540:
539:
531:
517:
515:
514:
509:
507:
506:
485:random variables
482:
480:
479:
474:
472:
471:
451:
449:
448:
443:
441:
440:
422:
421:
402:
400:
399:
394:
370:
369:
354:
353:
338:
337:
328:
327:
306:
305:
290:
289:
280:
279:
267:
266:
254:
253:
234:
232:
231:
226:
224:
223:
201:
199:
198:
193:
191:
190:
174:
172:
171:
166:
136:
135:
114:
113:
98:
97:
21:
3955:
3954:
3950:
3949:
3948:
3946:
3945:
3944:
3925:
3924:
3923:
3918:
3881:
3852:
3814:
3751:
3737:quality control
3704:
3686:Clinical trials
3663:
3638:
3622:
3610:Hazard function
3604:
3558:
3520:
3504:
3467:
3463:BreuschâGodfrey
3451:
3428:
3368:
3343:Factor analysis
3289:
3270:Graphical model
3242:
3209:
3176:
3162:
3142:
3096:
3063:
3025:
2988:
2987:
2956:
2900:
2887:
2879:
2871:
2855:
2840:
2819:Rank statistics
2813:
2792:Model selection
2780:
2738:Goodness of fit
2732:
2709:
2683:
2655:
2608:
2553:
2542:Median unbiased
2470:
2381:
2314:Order statistic
2276:
2255:
2222:
2196:
2148:
2103:
2046:
2044:Data collection
2025:
1937:
1892:
1866:
1844:
1804:
1756:
1673:Continuous data
1663:
1650:
1632:
1627:
1597:
1596:
1580:
1576:
1571:
1534:
1522:
1496:
1491:
1490:
1469:
1464:
1463:
1437:
1432:
1431:
1412:
1411:
1386:
1381:
1380:
1346:
1336:
1296:
1286:
1252:
1233:
1228:
1227:
1203:
1198:
1197:
1190:
1161:
1156:
1155:
1134:
1129:
1128:
1107:
1102:
1101:
1077:
1072:
1071:
1050:
1045:
1044:
1020:
1015:
1014:
990:
985:
984:
934:
921:
911:
886:
873:
863:
850:
837:
836:
832:
831:
760:
759:
735:
730:
729:
701:
696:
695:
634:
621:
611:
586:
573:
563:
550:
528:
523:
522:
498:
493:
492:
463:
458:
457:
432:
413:
408:
407:
361:
342:
329:
319:
294:
281:
271:
258:
245:
240:
239:
212:
207:
206:
182:
177:
176:
124:
102:
89:
81:
80:
73:
67:
35:
28:
23:
22:
15:
12:
11:
5:
3953:
3951:
3943:
3942:
3937:
3927:
3926:
3920:
3919:
3917:
3916:
3904:
3892:
3878:
3865:
3862:
3861:
3858:
3857:
3854:
3853:
3851:
3850:
3845:
3840:
3835:
3830:
3824:
3822:
3816:
3815:
3813:
3812:
3807:
3802:
3797:
3792:
3787:
3782:
3777:
3772:
3767:
3761:
3759:
3753:
3752:
3750:
3749:
3744:
3739:
3730:
3725:
3720:
3714:
3712:
3706:
3705:
3703:
3702:
3697:
3692:
3683:
3681:Bioinformatics
3677:
3675:
3665:
3664:
3659:
3652:
3651:
3648:
3647:
3644:
3643:
3640:
3639:
3637:
3636:
3630:
3628:
3624:
3623:
3621:
3620:
3614:
3612:
3606:
3605:
3603:
3602:
3597:
3592:
3587:
3581:
3579:
3570:
3564:
3563:
3560:
3559:
3557:
3556:
3551:
3546:
3541:
3536:
3530:
3528:
3522:
3521:
3519:
3518:
3513:
3508:
3500:
3495:
3490:
3489:
3488:
3486:partial (PACF)
3477:
3475:
3469:
3468:
3466:
3465:
3460:
3455:
3447:
3442:
3436:
3434:
3433:Specific tests
3430:
3429:
3427:
3426:
3421:
3416:
3411:
3406:
3401:
3396:
3391:
3385:
3383:
3376:
3370:
3369:
3367:
3366:
3365:
3364:
3363:
3362:
3347:
3346:
3345:
3335:
3333:Classification
3330:
3325:
3320:
3315:
3310:
3305:
3299:
3297:
3291:
3290:
3288:
3287:
3282:
3280:McNemar's test
3277:
3272:
3267:
3262:
3256:
3254:
3244:
3243:
3226:
3219:
3218:
3215:
3214:
3211:
3210:
3208:
3207:
3202:
3197:
3192:
3186:
3184:
3178:
3177:
3175:
3174:
3158:
3152:
3150:
3144:
3143:
3141:
3140:
3135:
3130:
3125:
3120:
3118:Semiparametric
3115:
3110:
3104:
3102:
3098:
3097:
3095:
3094:
3089:
3084:
3079:
3073:
3071:
3065:
3064:
3062:
3061:
3056:
3051:
3046:
3041:
3035:
3033:
3027:
3026:
3024:
3023:
3018:
3013:
3008:
3002:
3000:
2990:
2989:
2986:
2985:
2980:
2974:
2973:
2966:
2965:
2962:
2961:
2958:
2957:
2955:
2954:
2953:
2952:
2942:
2937:
2932:
2931:
2930:
2925:
2914:
2912:
2906:
2905:
2902:
2901:
2899:
2898:
2893:
2892:
2891:
2883:
2875:
2859:
2856:(MannâWhitney)
2851:
2850:
2849:
2836:
2835:
2834:
2823:
2821:
2815:
2814:
2812:
2811:
2810:
2809:
2804:
2799:
2789:
2784:
2781:(ShapiroâWilk)
2776:
2771:
2766:
2761:
2756:
2748:
2742:
2740:
2734:
2733:
2731:
2730:
2722:
2713:
2701:
2695:
2693:Specific tests
2689:
2688:
2685:
2684:
2682:
2681:
2676:
2671:
2665:
2663:
2657:
2656:
2654:
2653:
2648:
2647:
2646:
2636:
2635:
2634:
2624:
2618:
2616:
2610:
2609:
2607:
2606:
2605:
2604:
2599:
2589:
2584:
2579:
2574:
2569:
2563:
2561:
2555:
2554:
2552:
2551:
2546:
2545:
2544:
2539:
2538:
2537:
2532:
2517:
2516:
2515:
2510:
2505:
2500:
2489:
2487:
2478:
2472:
2471:
2469:
2468:
2463:
2458:
2457:
2456:
2446:
2441:
2440:
2439:
2429:
2428:
2427:
2422:
2417:
2407:
2402:
2397:
2396:
2395:
2390:
2385:
2369:
2368:
2367:
2362:
2357:
2347:
2346:
2345:
2340:
2330:
2329:
2328:
2318:
2317:
2316:
2306:
2301:
2296:
2290:
2288:
2278:
2277:
2272:
2265:
2264:
2261:
2260:
2257:
2256:
2254:
2253:
2248:
2243:
2238:
2232:
2230:
2224:
2223:
2221:
2220:
2215:
2210:
2204:
2202:
2198:
2197:
2195:
2194:
2189:
2184:
2179:
2174:
2169:
2164:
2158:
2156:
2150:
2149:
2147:
2146:
2144:Standard error
2141:
2136:
2131:
2130:
2129:
2124:
2113:
2111:
2105:
2104:
2102:
2101:
2096:
2091:
2086:
2081:
2076:
2074:Optimal design
2071:
2066:
2060:
2058:
2048:
2047:
2042:
2035:
2034:
2031:
2030:
2027:
2026:
2024:
2023:
2018:
2013:
2008:
2003:
1998:
1993:
1988:
1983:
1978:
1973:
1968:
1963:
1958:
1953:
1947:
1945:
1939:
1938:
1936:
1935:
1930:
1929:
1928:
1923:
1913:
1908:
1902:
1900:
1894:
1893:
1891:
1890:
1885:
1880:
1874:
1872:
1871:Summary tables
1868:
1867:
1865:
1864:
1858:
1856:
1850:
1849:
1846:
1845:
1843:
1842:
1841:
1840:
1835:
1830:
1820:
1814:
1812:
1806:
1805:
1803:
1802:
1797:
1792:
1787:
1782:
1777:
1772:
1766:
1764:
1758:
1757:
1755:
1754:
1749:
1744:
1743:
1742:
1737:
1732:
1727:
1722:
1717:
1712:
1707:
1705:Contraharmonic
1702:
1697:
1686:
1684:
1675:
1665:
1664:
1659:
1652:
1651:
1649:
1648:
1643:
1637:
1634:
1633:
1628:
1626:
1625:
1618:
1611:
1603:
1595:
1594:
1573:
1572:
1570:
1567:
1566:
1565:
1560:
1555:
1550:
1545:
1540:
1533:
1530:
1521:
1518:
1503:
1499:
1476:
1472:
1444:
1440:
1419:
1393:
1389:
1377:
1376:
1364:
1359:
1356:
1353:
1349:
1343:
1339:
1333:
1328:
1325:
1322:
1318:
1314:
1309:
1306:
1303:
1299:
1293:
1289:
1283:
1278:
1275:
1272:
1268:
1264:
1259:
1255:
1251:
1248:
1245:
1240:
1236:
1210:
1206:
1189:
1186:
1185:
1184:
1183:
1182:
1168:
1164:
1141:
1137:
1114:
1110:
1098:
1084:
1080:
1057:
1053:
1041:
1027:
1023:
1011:
997:
993:
975:
974:
963:
958:
953:
949:
944:
941:
937:
933:
928:
924:
918:
914:
910:
907:
904:
901:
896:
893:
889:
885:
880:
876:
870:
866:
862:
857:
853:
849:
844:
840:
835:
828:
823:
820:
817:
813:
809:
804:
799:
795:
789:
784:
781:
778:
774:
770:
767:
742:
738:
708:
704:
692:
691:
680:
677:
674:
671:
668:
665:
662:
659:
656:
653:
649:
644:
641:
637:
633:
628:
624:
618:
614:
610:
607:
604:
601:
596:
593:
589:
585:
580:
576:
570:
566:
562:
557:
553:
549:
544:
537:
534:
505:
501:
470:
466:
439:
435:
431:
428:
425:
420:
416:
404:
403:
392:
389:
386:
383:
380:
377:
374:
368:
364:
360:
357:
352:
349:
345:
341:
336:
332:
326:
322:
318:
315:
312:
309:
304:
301:
297:
293:
288:
284:
278:
274:
270:
265:
261:
257:
252:
248:
222:
219:
215:
189:
185:
164:
161:
158:
155:
152:
149:
146:
142:
139:
134:
131:
127:
123:
120:
117:
112:
109:
105:
101:
96:
92:
88:
69:Main article:
66:
63:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
3952:
3941:
3938:
3936:
3935:Curve fitting
3933:
3932:
3930:
3915:
3914:
3905:
3903:
3902:
3893:
3891:
3890:
3885:
3879:
3877:
3876:
3867:
3866:
3863:
3849:
3846:
3844:
3843:Geostatistics
3841:
3839:
3836:
3834:
3831:
3829:
3826:
3825:
3823:
3821:
3817:
3811:
3810:Psychometrics
3808:
3806:
3803:
3801:
3798:
3796:
3793:
3791:
3788:
3786:
3783:
3781:
3778:
3776:
3773:
3771:
3768:
3766:
3763:
3762:
3760:
3758:
3754:
3748:
3745:
3743:
3740:
3738:
3734:
3731:
3729:
3726:
3724:
3721:
3719:
3716:
3715:
3713:
3711:
3707:
3701:
3698:
3696:
3693:
3691:
3687:
3684:
3682:
3679:
3678:
3676:
3674:
3673:Biostatistics
3670:
3666:
3662:
3657:
3653:
3635:
3634:Log-rank test
3632:
3631:
3629:
3625:
3619:
3616:
3615:
3613:
3611:
3607:
3601:
3598:
3596:
3593:
3591:
3588:
3586:
3583:
3582:
3580:
3578:
3574:
3571:
3569:
3565:
3555:
3552:
3550:
3547:
3545:
3542:
3540:
3537:
3535:
3532:
3531:
3529:
3527:
3523:
3517:
3514:
3512:
3509:
3507:
3505:(BoxâJenkins)
3501:
3499:
3496:
3494:
3491:
3487:
3484:
3483:
3482:
3479:
3478:
3476:
3474:
3470:
3464:
3461:
3459:
3458:DurbinâWatson
3456:
3454:
3448:
3446:
3443:
3441:
3440:DickeyâFuller
3438:
3437:
3435:
3431:
3425:
3422:
3420:
3417:
3415:
3414:Cointegration
3412:
3410:
3407:
3405:
3402:
3400:
3397:
3395:
3392:
3390:
3389:Decomposition
3387:
3386:
3384:
3380:
3377:
3375:
3371:
3361:
3358:
3357:
3356:
3353:
3352:
3351:
3348:
3344:
3341:
3340:
3339:
3336:
3334:
3331:
3329:
3326:
3324:
3321:
3319:
3316:
3314:
3311:
3309:
3306:
3304:
3301:
3300:
3298:
3296:
3292:
3286:
3283:
3281:
3278:
3276:
3273:
3271:
3268:
3266:
3263:
3261:
3260:Cohen's kappa
3258:
3257:
3255:
3253:
3249:
3245:
3241:
3237:
3233:
3229:
3224:
3220:
3206:
3203:
3201:
3198:
3196:
3193:
3191:
3188:
3187:
3185:
3183:
3179:
3173:
3169:
3165:
3159:
3157:
3154:
3153:
3151:
3149:
3145:
3139:
3136:
3134:
3131:
3129:
3126:
3124:
3121:
3119:
3116:
3114:
3113:Nonparametric
3111:
3109:
3106:
3105:
3103:
3099:
3093:
3090:
3088:
3085:
3083:
3080:
3078:
3075:
3074:
3072:
3070:
3066:
3060:
3057:
3055:
3052:
3050:
3047:
3045:
3042:
3040:
3037:
3036:
3034:
3032:
3028:
3022:
3019:
3017:
3014:
3012:
3009:
3007:
3004:
3003:
3001:
2999:
2995:
2991:
2984:
2981:
2979:
2976:
2975:
2971:
2967:
2951:
2948:
2947:
2946:
2943:
2941:
2938:
2936:
2933:
2929:
2926:
2924:
2921:
2920:
2919:
2916:
2915:
2913:
2911:
2907:
2897:
2894:
2890:
2884:
2882:
2876:
2874:
2868:
2867:
2866:
2863:
2862:Nonparametric
2860:
2858:
2852:
2848:
2845:
2844:
2843:
2837:
2833:
2832:Sample median
2830:
2829:
2828:
2825:
2824:
2822:
2820:
2816:
2808:
2805:
2803:
2800:
2798:
2795:
2794:
2793:
2790:
2788:
2785:
2783:
2777:
2775:
2772:
2770:
2767:
2765:
2762:
2760:
2757:
2755:
2753:
2749:
2747:
2744:
2743:
2741:
2739:
2735:
2729:
2727:
2723:
2721:
2719:
2714:
2712:
2707:
2703:
2702:
2699:
2696:
2694:
2690:
2680:
2677:
2675:
2672:
2670:
2667:
2666:
2664:
2662:
2658:
2652:
2649:
2645:
2642:
2641:
2640:
2637:
2633:
2630:
2629:
2628:
2625:
2623:
2620:
2619:
2617:
2615:
2611:
2603:
2600:
2598:
2595:
2594:
2593:
2590:
2588:
2585:
2583:
2580:
2578:
2575:
2573:
2570:
2568:
2565:
2564:
2562:
2560:
2556:
2550:
2547:
2543:
2540:
2536:
2533:
2531:
2528:
2527:
2526:
2523:
2522:
2521:
2518:
2514:
2511:
2509:
2506:
2504:
2501:
2499:
2496:
2495:
2494:
2491:
2490:
2488:
2486:
2482:
2479:
2477:
2473:
2467:
2464:
2462:
2459:
2455:
2452:
2451:
2450:
2447:
2445:
2442:
2438:
2437:loss function
2435:
2434:
2433:
2430:
2426:
2423:
2421:
2418:
2416:
2413:
2412:
2411:
2408:
2406:
2403:
2401:
2398:
2394:
2391:
2389:
2386:
2384:
2378:
2375:
2374:
2373:
2370:
2366:
2363:
2361:
2358:
2356:
2353:
2352:
2351:
2348:
2344:
2341:
2339:
2336:
2335:
2334:
2331:
2327:
2324:
2323:
2322:
2319:
2315:
2312:
2311:
2310:
2307:
2305:
2302:
2300:
2297:
2295:
2292:
2291:
2289:
2287:
2283:
2279:
2275:
2270:
2266:
2252:
2249:
2247:
2244:
2242:
2239:
2237:
2234:
2233:
2231:
2229:
2225:
2219:
2216:
2214:
2211:
2209:
2206:
2205:
2203:
2199:
2193:
2190:
2188:
2185:
2183:
2180:
2178:
2175:
2173:
2170:
2168:
2165:
2163:
2160:
2159:
2157:
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2139:Questionnaire
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1553:Linear system
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793:
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779:
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736:
727:
726:least squares
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78:
72:
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61:is possible.
60:
56:
52:
48:
44:
40:
33:
19:
18:Linear models
3911:
3899:
3880:
3873:
3785:Econometrics
3735: /
3718:Chemometrics
3695:Epidemiology
3688: /
3661:Applications
3503:ARIMA model
3450:Q-statistic
3399:Stationarity
3295:Multivariate
3238: /
3234: /
3232:Multivariate
3230: /
3170: /
3166: /
2940:Bayes factor
2839:Signed rank
2751:
2725:
2717:
2705:
2400:Completeness
2236:Cohort study
2134:Opinion poll
2069:Missing data
2056:Study design
2011:Scatter plot
1933:Scatter plot
1926:Spearman's Ï
1888:Grouped data
1582:
1577:
1523:
1378:
1191:
976:
723:
693:
405:
74:
43:linear model
42:
36:
3913:WikiProject
3828:Cartography
3790:Jurimetrics
3742:Reliability
3473:Time domain
3452:(LjungâBox)
3374:Time-series
3252:Categorical
3236:Time-series
3228:Categorical
3163:(Bernoulli)
2998:Correlation
2978:Correlation
2774:JarqueâBera
2746:Chi-squared
2508:M-estimator
2461:Asymptotics
2405:Sufficiency
2172:Interaction
2084:Replication
2064:Effect size
2021:Violin plot
2001:Radar chart
1981:Forest plot
1971:Correlogram
1921:Kendall's Ï
1408:innovations
41:, the term
3929:Categories
3780:Demography
3498:ARMA model
3303:Regression
2880:(Friedman)
2841:(Wilcoxon)
2779:Normality
2769:Lilliefors
2716:Student's
2592:Resampling
2466:Robustness
2454:divergence
2444:Efficiency
2382:(monotone)
2377:Likelihood
2294:Population
2127:Stratified
2079:Population
1898:Dependence
1854:Count data
1785:Percentile
1762:Dispersion
1695:Arithmetic
1630:Statistics
1569:References
1460:covariance
39:statistics
3161:Logistic
2928:posterior
2854:Rank sum
2602:Jackknife
2597:Bootstrap
2415:Bootstrap
2350:Parameter
2299:Statistic
2094:Statistic
2006:Run chart
1991:Pie chart
1986:Histogram
1976:Fan chart
1951:Bar chart
1833:L-moments
1720:Geometric
1498:θ
1471:ϕ
1388:ε
1355:−
1348:ε
1338:θ
1317:∑
1305:−
1288:ϕ
1267:∑
1254:ε
1163:β
1136:ε
1109:β
1052:β
1022:β
992:β
923:ϕ
913:β
909:−
906:⋯
903:−
875:ϕ
865:β
861:−
852:β
848:−
812:∑
794:ε
773:∑
737:β
703:β
667:…
623:ϕ
613:β
606:⋯
575:ϕ
565:β
552:β
536:^
500:β
465:ε
454:nonlinear
434:ϕ
427:…
415:ϕ
385:…
363:ε
331:ϕ
321:β
314:⋯
283:ϕ
273:β
260:β
157:…
119:…
47:linearity
3875:Category
3568:Survival
3445:Johansen
3168:Binomial
3123:Isotonic
2710:(normal)
2355:location
2162:Blocking
2117:Sampling
1996:QâQ plot
1961:Box plot
1943:Graphics
1838:Skewness
1828:Kurtosis
1800:Variance
1730:Heronian
1725:Harmonic
1532:See also
202:and the
3901:Commons
3848:Kriging
3733:Process
3690:studies
3549:Wavelet
3382:General
2549:Plug-in
2343:L space
2122:Cluster
1823:Moments
1641:Outline
452:may be
3770:Census
3360:Normal
3308:Manova
3128:Robust
2878:2-way
2870:1-way
2708:-test
2379:
1956:Biplot
1747:Median
1740:Lehmer
1682:Center
1589:
406:where
3394:Trend
2923:prior
2865:anova
2754:-test
2728:-test
2720:-test
2627:Power
2572:Pivot
2365:shape
2360:scale
1810:Shape
1790:Range
1735:Heinz
1710:Cubic
1646:Index
3627:Test
2827:Sign
2679:Wald
1752:Mode
1690:Mean
1587:ISBN
1489:and
483:are
2807:BIC
2802:AIC
37:In
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