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of the mean, which depends on both the location and scale parameters, has been reduced to considering a distribution which depends only on the location parameter. However, the fact that a sample standard deviation is used, rather than the unknown population standard deviation, complicates the
50:. The term is also used for the standardisation of a higher-degree statistic by another statistic of the same degree: for example, an estimate of the third central moment would be standardised by dividing by the cube of the sample standard deviation.
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A simple example is the process of dividing a sample mean by the sample standard deviation when data arise from a
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73:, the idea of using Studentized statistics is of some importance in the development of
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57:. The consequence of "Studentization" is that the complication of treating the
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The
Advanced Theory of Statistics. Volume 2: Inference and Relationship
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Autoregressive conditional heteroskedasticity (ARCH)
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1647:Multivariate adaptive regression splines (MARS)
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77:with improved properties in the context of
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131:The Oxford Dictionary of Statistical Terms
172:Bootstrap Methods and their Application
122:
2173:KaplanâMeier estimator (product limit)
7:
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2183:Accelerated failure time (AFT) model
170:Davison, A.C., Hinkley, D.V. (1997)
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1778:Analysis of variance (ANOVA, anova)
2536:. You can help Knowledge (XXG) by
1873:CochranâMantelâHaenszel statistics
499:Pearson product-moment correlation
25:
149:Kendall, M.G., Stuart, A. (1973)
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2132:Least-squares spectral analysis
1113:Mean-unbiased minimum-variance
1:
2426:Geographic information system
1642:Simultaneous equations models
1609:Coefficient of determination
1220:Uniformly most powerful test
66:of a Studentized statistic.
2178:Proportional hazards models
2122:Spectral density estimation
2104:Vector autoregression (VAR)
1538:Maximum posterior estimator
770:Randomized controlled trial
62:mathematics of finding the
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1938:Multivariate distributions
358:Average absolute deviation
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1926:Structural equation model
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1262:Score/Lagrange multiplier
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677:Sample size determination
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2421:Environmental statistics
1943:Elliptical distributions
1736:Generalized linear model
1665:Simple linear regression
1435:HodgesâLehmann estimator
892:Probability distribution
801:Stochastic approximation
363:Coefficient of variation
71:computational statistics
64:probability distribution
59:probability distribution
2081:Cross-correlation (XCF)
1689:Non-standard predictors
1123:LehmannâScheffĂ© theorem
796:Adaptive clinical trial
2532:-related article is a
2477:Mathematics portal
2298:Engineering statistics
2206:NelsonâAalen estimator
1783:Analysis of covariance
1670:Ordinary least squares
1594:Pearson product-moment
998:Statistical functional
909:Empirical distribution
742:Controlled experiments
471:Frequency distribution
249:Descriptive statistics
39:, who wrote under the
2393:Population statistics
2335:System identification
2069:Autocorrelation (ACF)
1997:Exponential smoothing
1911:Discriminant analysis
1906:Canonical correlation
1770:Partition of variance
1632:Regression validation
1476:(JonckheereâTerpstra)
1375:Likelihood-ratio test
1064:Frequentist inference
976:Locationâscale family
897:Sampling distribution
862:Statistical inference
829:Cross-sectional study
816:Observational studies
775:Randomized experiment
604:Stem-and-leaf display
406:Central limit theorem
55:location-scale family
2316:Probabilistic design
1901:Principal components
1744:Exponential families
1696:Nonlinear regression
1675:General linear model
1637:Mixed effects models
1627:Errors and residuals
1604:Confounding variable
1506:Bayesian probability
1484:Van der Waerden test
1474:Ordered alternative
1239:Multiple comparisons
1118:RaoâBlackwellization
1081:Estimating equations
1037:Statistical distance
755:Factorial experiment
288:Arithmetic-Geometric
100:Studentized residual
81:and, in particular,
75:confidence intervals
37:William Sealy Gosset
2388:Official statistics
2311:Methods engineering
1992:Seasonal adjustment
1760:Poisson regressions
1680:Bayesian regression
1619:Regression analysis
1599:Partial correlation
1571:Regression analysis
1170:Prediction interval
1165:Likelihood interval
1155:Confidence interval
1147:Interval estimation
1108:Unbiased estimators
926:Model specification
806:Up-and-down designs
494:Partial correlation
450:Index of dispersion
368:Interquartile range
2583:Statistical ratios
2408:Spatial statistics
2288:Medical statistics
2188:First hitting time
2142:Whittle likelihood
1793:Degrees of freedom
1788:Multivariate ANOVA
1721:Heteroscedasticity
1533:Bayesian estimator
1498:Bayesian inference
1347:KolmogorovâSmirnov
1232:Randomization test
1202:Testing hypotheses
1175:Tolerance interval
1086:Maximum likelihood
981:Exponential family
914:Density estimation
874:Statistical theory
834:Natural experiment
780:Scientific control
697:Survey methodology
383:Standard deviation
129:Dodge, Y. (2003)
48:standard deviation
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2345:Social statistics
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2165:Survival function
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2012:Granger causality
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960:Parametric family
921:Statistical model
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765:Random assignment
687:Statistical power
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466:Contingency table
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303:Generalized/power
161:(Section 20.31â2)
95:Studentized range
16:(Redirected from
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2588:Statistics stubs
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2114:Frequency domain
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2007:Structural break
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1863:Log-linear model
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1726:Homoscedasticity
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1460:(KruskalâWallis)
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1385:Cross validation
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1352:AndersonâDarling
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1257:Likelihood-ratio
1249:Parametric tests
1227:Permutation test
1210:1- & 2-tails
1101:Minimum distance
1073:Point estimation
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1020:Optimal decision
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839:Quasi-experiment
789:Adaptive designs
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504:Rank correlation
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112:Pivotal quantity
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2074:partial (PACF)
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2021:Specific tests
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1281:Specific tests
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732:Standard error
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662:Optimal design
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459:Summary tables
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35:, named after
33:Studentization
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2431:Geostatistics
2429:
2427:
2424:
2422:
2419:
2417:
2414:
2413:
2411:
2409:
2405:
2399:
2398:Psychometrics
2396:
2394:
2391:
2389:
2386:
2384:
2381:
2379:
2376:
2374:
2371:
2369:
2366:
2364:
2361:
2359:
2356:
2354:
2351:
2350:
2348:
2346:
2342:
2336:
2333:
2331:
2328:
2326:
2322:
2319:
2317:
2314:
2312:
2309:
2307:
2304:
2303:
2301:
2299:
2295:
2289:
2286:
2284:
2281:
2279:
2275:
2272:
2270:
2267:
2266:
2264:
2262:
2261:Biostatistics
2258:
2254:
2250:
2245:
2241:
2223:
2222:Log-rank test
2220:
2219:
2217:
2213:
2207:
2204:
2203:
2201:
2199:
2195:
2189:
2186:
2184:
2181:
2179:
2176:
2174:
2171:
2170:
2168:
2166:
2162:
2159:
2157:
2153:
2143:
2140:
2138:
2135:
2133:
2130:
2128:
2125:
2123:
2120:
2119:
2117:
2115:
2111:
2105:
2102:
2100:
2097:
2095:
2093:(BoxâJenkins)
2089:
2087:
2084:
2082:
2079:
2075:
2072:
2071:
2070:
2067:
2066:
2064:
2062:
2058:
2052:
2049:
2047:
2046:DurbinâWatson
2044:
2042:
2036:
2034:
2031:
2029:
2028:DickeyâFuller
2026:
2025:
2023:
2019:
2013:
2010:
2008:
2005:
2003:
2002:Cointegration
2000:
1998:
1995:
1993:
1990:
1988:
1985:
1983:
1980:
1978:
1977:Decomposition
1975:
1974:
1972:
1968:
1965:
1963:
1959:
1949:
1946:
1945:
1944:
1941:
1940:
1939:
1936:
1932:
1929:
1928:
1927:
1924:
1922:
1919:
1917:
1914:
1912:
1909:
1907:
1904:
1902:
1899:
1897:
1894:
1892:
1889:
1888:
1886:
1884:
1880:
1874:
1871:
1869:
1866:
1864:
1861:
1859:
1856:
1854:
1851:
1849:
1848:Cohen's kappa
1846:
1845:
1843:
1841:
1837:
1833:
1829:
1825:
1821:
1817:
1812:
1808:
1794:
1791:
1789:
1786:
1784:
1781:
1779:
1776:
1775:
1773:
1771:
1767:
1761:
1757:
1753:
1747:
1745:
1742:
1741:
1739:
1737:
1733:
1727:
1724:
1722:
1719:
1717:
1714:
1712:
1709:
1707:
1704:
1702:
1701:Nonparametric
1699:
1697:
1694:
1693:
1691:
1687:
1681:
1678:
1676:
1673:
1671:
1668:
1666:
1663:
1662:
1660:
1658:
1654:
1648:
1645:
1643:
1640:
1638:
1635:
1633:
1630:
1628:
1625:
1624:
1622:
1620:
1616:
1610:
1607:
1605:
1602:
1600:
1597:
1595:
1592:
1591:
1589:
1587:
1583:
1579:
1572:
1569:
1567:
1564:
1563:
1559:
1555:
1539:
1536:
1535:
1534:
1531:
1529:
1526:
1524:
1521:
1517:
1514:
1512:
1509:
1508:
1507:
1504:
1503:
1501:
1499:
1495:
1485:
1482:
1478:
1472:
1470:
1464:
1462:
1456:
1455:
1454:
1451:
1450:Nonparametric
1448:
1446:
1440:
1436:
1433:
1432:
1431:
1425:
1421:
1420:Sample median
1418:
1417:
1416:
1413:
1412:
1410:
1408:
1404:
1396:
1393:
1391:
1388:
1386:
1383:
1382:
1381:
1378:
1376:
1373:
1371:
1365:
1363:
1360:
1358:
1355:
1353:
1350:
1348:
1345:
1343:
1341:
1337:
1335:
1332:
1331:
1329:
1327:
1323:
1317:
1315:
1311:
1309:
1307:
1302:
1300:
1295:
1291:
1290:
1287:
1284:
1282:
1278:
1268:
1265:
1263:
1260:
1258:
1255:
1254:
1252:
1250:
1246:
1240:
1237:
1233:
1230:
1229:
1228:
1225:
1221:
1218:
1217:
1216:
1213:
1211:
1208:
1207:
1205:
1203:
1199:
1191:
1188:
1186:
1183:
1182:
1181:
1178:
1176:
1173:
1171:
1168:
1166:
1163:
1161:
1158:
1156:
1153:
1152:
1150:
1148:
1144:
1138:
1135:
1131:
1128:
1124:
1121:
1119:
1116:
1115:
1114:
1111:
1110:
1109:
1106:
1102:
1099:
1097:
1094:
1092:
1089:
1087:
1084:
1083:
1082:
1079:
1078:
1076:
1074:
1070:
1067:
1065:
1061:
1055:
1052:
1050:
1047:
1043:
1040:
1039:
1038:
1035:
1033:
1030:
1026:
1025:loss function
1023:
1022:
1021:
1018:
1014:
1011:
1009:
1006:
1004:
1001:
1000:
999:
996:
994:
991:
989:
986:
982:
979:
977:
974:
972:
966:
963:
962:
961:
958:
954:
951:
949:
946:
944:
941:
940:
939:
936:
932:
929:
927:
924:
923:
922:
919:
915:
912:
911:
910:
907:
903:
900:
899:
898:
895:
893:
890:
888:
885:
883:
880:
879:
877:
875:
871:
867:
863:
858:
854:
840:
837:
835:
832:
830:
827:
825:
822:
821:
819:
817:
813:
807:
804:
802:
799:
797:
794:
793:
791:
787:
781:
778:
776:
773:
771:
768:
766:
763:
761:
758:
756:
753:
751:
748:
747:
745:
743:
739:
733:
730:
728:
727:Questionnaire
725:
723:
720:
716:
713:
711:
708:
707:
706:
703:
702:
700:
698:
694:
688:
685:
683:
680:
678:
675:
673:
670:
668:
665:
663:
660:
658:
655:
653:
650:
649:
647:
645:
641:
637:
633:
628:
624:
610:
607:
605:
602:
600:
597:
595:
592:
590:
587:
585:
582:
580:
577:
575:
572:
570:
567:
565:
562:
560:
557:
555:
554:Control chart
552:
550:
547:
545:
542:
540:
537:
536:
534:
532:
528:
522:
519:
515:
512:
510:
507:
506:
505:
502:
500:
497:
495:
492:
491:
489:
487:
483:
477:
474:
472:
469:
467:
464:
463:
461:
457:
451:
448:
447:
445:
443:
439:
427:
424:
422:
419:
417:
414:
413:
412:
409:
407:
404:
403:
401:
399:
395:
389:
386:
384:
381:
379:
376:
374:
371:
369:
366:
364:
361:
359:
356:
355:
353:
351:
347:
341:
338:
336:
333:
329:
326:
324:
321:
319:
316:
314:
311:
309:
306:
304:
301:
299:
296:
294:
291:
289:
286:
284:
281:
280:
279:
276:
275:
273:
271:
267:
264:
262:
258:
254:
250:
245:
241:
235:
232:
230:
227:
226:
223:
219:
212:
207:
205:
200:
198:
193:
192:
189:
181:
180:0-521-57471-4
177:
173:
167:
164:
160:
159:0-85264-215-6
156:
152:
146:
143:
140:
139:0-19-850994-4
136:
132:
126:
123:
117:
113:
110:
109:
105:
101:
98:
96:
93:
92:
88:
86:
84:
83:bootstrapping
80:
76:
72:
67:
65:
60:
56:
51:
49:
45:
42:
38:
34:
30:
19:
2538:expanding it
2527:
2512:
2499:
2487:
2468:
2461:
2373:Econometrics
2323: /
2306:Chemometrics
2283:Epidemiology
2276: /
2249:Applications
2091:ARIMA model
2038:Q-statistic
1987:Stationarity
1883:Multivariate
1826: /
1822: /
1820:Multivariate
1818: /
1758: /
1754: /
1528:Bayes factor
1427:Signed rank
1339:
1313:
1305:
1293:
988:Completeness
824:Cohort study
722:Opinion poll
657:Missing data
644:Study design
599:Scatter plot
521:Scatter plot
514:Spearman's Ï
476:Grouped data
171:
166:
150:
145:
130:
125:
68:
52:
43:
32:
26:
2501:WikiProject
2416:Cartography
2378:Jurimetrics
2330:Reliability
2061:Time domain
2040:(LjungâBox)
1962:Time-series
1840:Categorical
1824:Time-series
1816:Categorical
1751:(Bernoulli)
1586:Correlation
1566:Correlation
1362:JarqueâBera
1334:Chi-squared
1096:M-estimator
1049:Asymptotics
993:Sufficiency
760:Interaction
672:Replication
652:Effect size
609:Violin plot
589:Radar chart
569:Forest plot
559:Correlogram
509:Kendall's Ï
153:, Griffin.
18:Studentized
2577:Categories
2530:statistics
2368:Demography
2086:ARMA model
1891:Regression
1468:(Friedman)
1429:(Wilcoxon)
1367:Normality
1357:Lilliefors
1304:Student's
1180:Resampling
1054:Robustness
1042:divergence
1032:Efficiency
970:(monotone)
965:Likelihood
882:Population
715:Stratified
667:Population
486:Dependence
442:Count data
373:Percentile
350:Dispersion
283:Arithmetic
218:Statistics
118:References
79:resampling
29:statistics
1749:Logistic
1516:posterior
1442:Rank sum
1190:Jackknife
1185:Bootstrap
1003:Bootstrap
938:Parameter
887:Statistic
682:Statistic
594:Run chart
579:Pie chart
574:Histogram
564:Fan chart
539:Bar chart
421:L-moments
308:Geometric
41:pseudonym
2463:Category
2156:Survival
2033:Johansen
1756:Binomial
1711:Isotonic
1298:(normal)
943:location
750:Blocking
705:Sampling
584:QâQ plot
549:Box plot
531:Graphics
426:Skewness
416:Kurtosis
388:Variance
318:Heronian
313:Harmonic
106:See also
89:Examples
2489:Commons
2436:Kriging
2321:Process
2278:studies
2137:Wavelet
1970:General
1137:Plug-in
931:L space
710:Cluster
411:Moments
229:Outline
174:, CUP.
133:, OUP.
44:Student
2358:Census
1948:Normal
1896:Manova
1716:Robust
1466:2-way
1458:1-way
1296:-test
967:
544:Biplot
335:Median
328:Lehmer
270:Center
178:
157:
137:
2528:This
1982:Trend
1511:prior
1453:anova
1342:-test
1316:-test
1308:-test
1215:Power
1160:Pivot
953:shape
948:scale
398:Shape
378:Range
323:Heinz
298:Cubic
234:Index
2534:stub
2215:Test
1415:Sign
1267:Wald
340:Mode
278:Mean
176:ISBN
155:ISBN
135:ISBN
1395:BIC
1390:AIC
69:In
27:In
2579::
85:.
31:,
2565:e
2558:t
2551:v
2540:.
1340:G
1314:F
1306:t
1294:Z
1013:V
1008:U
210:e
203:t
196:v
20:)
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