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31:
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57:, in order to communicate the largest amount of information as simply as possible. Statisticians commonly try to describe the observations in
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Humans efficiently use summary statistics to quickly perceive the gist of auditory and visual information.
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Piazza, Elise A.; Sweeny, Timothy D.; Wessel, David; Silver, Michael A.; Whitney, David (2013).
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531:"Are summary statistics enough? Evidence for the importance of shape in guiding visual search"
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198:. Measures that assess spread in comparison to the typical size of data values include the
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was originally developed to measure income inequality and is equivalent to one of the
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summary statistics *ANOVA table might be referred to as summary statistics
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580:"Ensemble summary statistics as a basis for rapid visual categorization"
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Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre (2009).
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The common measure of dependence between paired random variables is the
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A simple summary of a dataset is sometimes given by quoting particular
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398:. Mathematics and Its Applications. Vol. 560 (2 ed.).
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482:"Humans Use Summary Statistics to Perceive Auditory Sequences"
633:
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528:
479:
529:
Alexander, R. G.; Schmidt, J.; Zelinsky, G. Z. (2014).
248:, for which a value of zero implies central symmetry.
2546:
Autoregressive conditional heteroskedasticity (ARCH)
91:
if more than one variable is measured, a measure of
232:Common measures of the shape of a distribution are
2008:
331:
325:
260:, while a common alternative summary statistic is
125:table can also be regarded as summary statistics.
2961:
81:a measure of the shape of the distribution like
2094:Multivariate adaptive regression splines (MARS)
258:Pearson product-moment correlation coefficient
649:
324:Upton, Graham; Cook, Ian (2 October 2008).
694:
656:
642:
1307:
595:
554:
505:
323:
577:
396:Handbook of Means and Their Inequalities
29:
262:Spearman's rank correlation coefficient
14:
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2620:KaplanâMeier estimator (product limit)
393:
272:Human perception of summary statistics
2693:
2260:
2007:
1306:
1076:
693:
637:
240:, while alternatives can be based on
41:, showing several summary statistics.
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2630:Accelerated failure time (AFT) model
317:
2942:
2225:Analysis of variance (ANOVA, anova)
1077:
106:used as summary statistics are the
24:
2320:CochranâMantelâHaenszel statistics
946:Pearson product-moment correlation
25:
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615:
2941:
2929:
2917:
2904:
2903:
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621:
394:Bullen, P. S. (31 August 2003).
138:Common measures of location, or
77:standard mean absolute deviation
2579:Least-squares spectral analysis
53:are used to summarize a set of
1560:Mean-unbiased minimum-variance
663:
571:
522:
473:
448:
387:
220:as approximations to selected
13:
1:
2873:Geographic information system
2089:Simultaneous equations models
338:(Second (revised) ed.).
311:
251:
244:. A different measure is the
2056:Coefficient of determination
1667:Uniformly most powerful test
547:10.1080/13506285.2014.890989
7:
2625:Proportional hazards models
2569:Spectral density estimation
2551:Vector autoregression (VAR)
1985:Maximum posterior estimator
1217:Randomized controlled trial
459:. Oxford University Press.
279:
196:distance standard deviation
133:
128:
39:MichelsonâMorley experiment
10:
2986:
2385:Multivariate distributions
805:Average absolute deviation
578:Utochkin, Igor S. (2015).
334:A Dictionary of Statistics
264:. A value of zero for the
110:, sometimes extended to a
61:a measure of location, or
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2373:Structural equation model
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2003:
1943:
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1709:Score/Lagrange multiplier
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1187:
1142:
1124:Sample size determination
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887:
843:
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715:
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689:
671:
408:10.1007/978-94-017-0399-4
161:
2868:Environmental statistics
2390:Elliptical distributions
2183:Generalized linear model
2112:Simple linear regression
1882:HodgesâLehmann estimator
1339:Probability distribution
1248:Stochastic approximation
810:Coefficient of variation
498:10.1177/0956797612473759
227:
200:coefficient of variation
192:mean absolute difference
2528:Cross-correlation (XCF)
2136:Non-standard predictors
1570:LehmannâScheffĂ© theorem
1243:Adaptive clinical trial
340:Oxford University Press
102:A common collection of
97:correlation coefficient
2924:Mathematics portal
2745:Engineering statistics
2653:NelsonâAalen estimator
2230:Analysis of covariance
2117:Ordinary least squares
2041:Pearson product-moment
1445:Statistical functional
1356:Empirical distribution
1189:Controlled experiments
918:Frequency distribution
696:Descriptive statistics
291:Descriptive statistics
286:Common test statistics
268:implies independence.
168:statistical dispersion
93:statistical dependence
73:statistical dispersion
47:descriptive statistics
42:
2840:Population statistics
2782:System identification
2516:Autocorrelation (ACF)
2444:Exponential smoothing
2358:Discriminant analysis
2353:Canonical correlation
2217:Partition of variance
2079:Regression validation
1923:(JonckheereâTerpstra)
1822:Likelihood-ratio test
1511:Frequentist inference
1423:Locationâscale family
1344:Sampling distribution
1309:Statistical inference
1276:Cross-sectional study
1263:Observational studies
1222:Randomized experiment
1051:Stem-and-leaf display
853:Central limit theorem
486:Psychological Science
457:Aggregation Functions
114:, and the associated
33:
2763:Probabilistic design
2348:Principal components
2191:Exponential families
2143:Nonlinear regression
2122:General linear model
2084:Mixed effects models
2074:Errors and residuals
2051:Confounding variable
1953:Bayesian probability
1931:Van der Waerden test
1921:Ordered alternative
1686:Multiple comparisons
1565:RaoâBlackwellization
1528:Estimating equations
1484:Statistical distance
1202:Factorial experiment
735:Arithmetic-Geometric
630:at Wikimedia Commons
301:Sufficient statistic
266:distance correlation
123:analysis of variance
112:seven-number summary
2835:Official statistics
2758:Methods engineering
2439:Seasonal adjustment
2207:Poisson regressions
2127:Bayesian regression
2066:Regression analysis
2046:Partial correlation
2018:Regression analysis
1617:Prediction interval
1612:Likelihood interval
1602:Confidence interval
1594:Interval estimation
1555:Unbiased estimators
1373:Model specification
1253:Up-and-down designs
941:Partial correlation
897:Index of dispersion
815:Interquartile range
224:of a distribution.
184:interquartile range
166:Common measures of
108:five-number summary
2970:Summary statistics
2855:Spatial statistics
2735:Medical statistics
2635:First hitting time
2589:Whittle likelihood
2240:Degrees of freedom
2235:Multivariate ANOVA
2168:Heteroscedasticity
1980:Bayesian estimator
1945:Bayesian inference
1794:KolmogorovâSmirnov
1679:Randomization test
1649:Testing hypotheses
1622:Tolerance interval
1533:Maximum likelihood
1428:Exponential family
1361:Density estimation
1321:Statistical theory
1281:Natural experiment
1227:Scientific control
1144:Survey methodology
830:Standard deviation
628:Summary statistics
400:Springer Dordrecht
188:absolute deviation
172:standard deviation
156:interquartile mean
51:summary statistics
43:
27:Type of statistics
2957:
2956:
2895:
2894:
2891:
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2830:National accounts
2800:Actuarial science
2792:Social statistics
2685:
2684:
2681:
2680:
2677:
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2612:Survival function
2597:
2596:
2459:Granger causality
2300:Contingency table
2275:Survival analysis
2252:
2251:
2248:
2247:
2104:Linear regression
1999:
1998:
1995:
1994:
1970:Credible interval
1939:
1938:
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1721:
1538:Method of moments
1407:Parametric family
1368:Statistical model
1298:
1297:
1294:
1293:
1212:Random assignment
1134:Statistical power
1068:
1067:
1064:
1063:
913:Contingency table
883:
882:
750:Generalized/power
626:Media related to
584:Journal of Vision
417:978-1-4020-1522-9
296:Sample statistics
246:distance skewness
18:Summary statistic
16:(Redirected from
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2810:Crime statistics
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2574:Fourier analysis
2561:Frequency domain
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2454:Structural break
2414:
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2363:Cluster analysis
2310:Log-linear model
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2173:Homoscedasticity
2029:
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2005:
2004:
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1908:
1907:(KruskalâWallis)
1892:
1877:
1832:Cross validation
1817:
1799:AndersonâDarling
1746:
1733:
1732:
1704:Likelihood-ratio
1696:Parametric tests
1674:Permutation test
1657:1- & 2-tails
1548:Minimum distance
1520:Point estimation
1516:
1515:
1467:Optimal decision
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1317:
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1286:Quasi-experiment
1236:Adaptive designs
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951:Rank correlation
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541:(3â4): 595â609.
535:Visual Cognition
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492:(8): 1389â1397.
477:
471:
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452:
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391:
385:
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378:Internet Archive
337:
329:
327:"Dictionary (S)"
321:
218:order statistics
207:Gini coefficient
140:central tendency
104:order statistics
63:central tendency
21:
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2772:quality control
2739:
2721:Clinical trials
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2645:Hazard function
2639:
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2498:BreuschâGodfrey
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2378:Factor analysis
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2305:Graphical model
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1991:
1935:
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1854:Rank statistics
1848:
1827:Model selection
1815:
1773:Goodness of fit
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1577:Median unbiased
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1349:Order statistic
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1079:Data collection
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708:Continuous data
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380:. p. 378:
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306:Data processing
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144:arithmetic mean
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67:arithmetic mean
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2716:Bioinformatics
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2521:partial (PACF)
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2468:Specific tests
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2368:Classification
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2153:Semiparametric
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1728:Specific tests
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1404:
1403:
1402:
1397:
1392:
1382:
1381:
1380:
1375:
1365:
1364:
1363:
1353:
1352:
1351:
1341:
1336:
1331:
1325:
1323:
1313:
1312:
1300:
1299:
1296:
1295:
1292:
1291:
1289:
1288:
1283:
1278:
1273:
1267:
1265:
1259:
1258:
1256:
1255:
1250:
1245:
1239:
1237:
1233:
1232:
1230:
1229:
1224:
1219:
1214:
1209:
1204:
1199:
1193:
1191:
1185:
1184:
1182:
1181:
1179:Standard error
1176:
1171:
1166:
1165:
1164:
1159:
1148:
1146:
1140:
1139:
1137:
1136:
1131:
1126:
1121:
1116:
1111:
1109:Optimal design
1106:
1101:
1095:
1093:
1083:
1082:
1070:
1069:
1066:
1065:
1062:
1061:
1059:
1058:
1053:
1048:
1043:
1038:
1033:
1028:
1023:
1018:
1013:
1008:
1003:
998:
993:
988:
982:
980:
974:
973:
971:
970:
965:
964:
963:
958:
948:
943:
937:
935:
929:
928:
926:
925:
920:
915:
909:
907:
906:Summary tables
903:
902:
900:
899:
893:
891:
885:
884:
881:
880:
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877:
876:
875:
870:
865:
855:
849:
847:
841:
840:
838:
837:
832:
827:
822:
817:
812:
807:
801:
799:
793:
792:
790:
789:
784:
779:
778:
777:
772:
767:
762:
757:
752:
747:
742:
740:Contraharmonic
737:
732:
721:
719:
710:
700:
699:
687:
686:
684:
683:
678:
672:
669:
668:
661:
660:
653:
646:
638:
632:
631:
617:
616:External links
614:
612:
611:
597:10.1167/15.4.8
570:
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466:978-0521519267
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121:Entries in an
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65:, such as the
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2898:
2884:
2881:
2879:
2878:Geostatistics
2876:
2874:
2871:
2869:
2866:
2864:
2861:
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2856:
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2846:
2845:Psychometrics
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2713:
2711:
2709:
2708:Biostatistics
2705:
2701:
2697:
2692:
2688:
2670:
2669:Log-rank test
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2558:
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2549:
2547:
2544:
2542:
2540:(BoxâJenkins)
2536:
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2529:
2526:
2522:
2519:
2518:
2517:
2514:
2513:
2511:
2509:
2505:
2499:
2496:
2494:
2493:DurbinâWatson
2491:
2489:
2483:
2481:
2478:
2476:
2475:DickeyâFuller
2473:
2472:
2470:
2466:
2460:
2457:
2455:
2452:
2450:
2449:Cointegration
2447:
2445:
2442:
2440:
2437:
2435:
2432:
2430:
2427:
2425:
2424:Decomposition
2422:
2421:
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2321:
2318:
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2303:
2301:
2298:
2296:
2295:Cohen's kappa
2293:
2292:
2290:
2288:
2284:
2280:
2276:
2272:
2268:
2264:
2259:
2255:
2241:
2238:
2236:
2233:
2231:
2228:
2226:
2223:
2222:
2220:
2218:
2214:
2208:
2204:
2200:
2194:
2192:
2189:
2188:
2186:
2184:
2180:
2174:
2171:
2169:
2166:
2164:
2161:
2159:
2156:
2154:
2151:
2149:
2148:Nonparametric
2146:
2144:
2141:
2140:
2138:
2134:
2128:
2125:
2123:
2120:
2118:
2115:
2113:
2110:
2109:
2107:
2105:
2101:
2095:
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2090:
2087:
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2063:
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2038:
2036:
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2026:
2019:
2016:
2014:
2011:
2010:
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2002:
1986:
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1971:
1968:
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1932:
1929:
1925:
1919:
1917:
1911:
1909:
1903:
1902:
1901:
1898:
1897:Nonparametric
1895:
1893:
1887:
1883:
1880:
1879:
1878:
1872:
1868:
1867:Sample median
1865:
1864:
1863:
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1477:
1473:
1472:loss function
1470:
1469:
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1461:
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1284:
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1279:
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1269:
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1264:
1260:
1254:
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1234:
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1225:
1223:
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1218:
1215:
1213:
1210:
1208:
1205:
1203:
1200:
1198:
1195:
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1192:
1190:
1186:
1180:
1177:
1175:
1174:Questionnaire
1172:
1170:
1167:
1163:
1160:
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1155:
1154:
1153:
1150:
1149:
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1135:
1132:
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1127:
1125:
1122:
1120:
1117:
1115:
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1110:
1107:
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1019:
1017:
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1009:
1007:
1004:
1002:
1001:Control chart
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992:
989:
987:
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962:
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924:
921:
919:
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910:
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904:
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895:
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831:
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811:
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773:
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766:
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756:
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751:
748:
746:
743:
741:
738:
736:
733:
731:
728:
727:
726:
723:
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720:
718:
714:
711:
709:
705:
701:
697:
692:
688:
682:
679:
677:
674:
673:
670:
666:
659:
654:
652:
647:
645:
640:
639:
636:
629:
624:
620:
619:
607:
603:
598:
593:
589:
585:
581:
574:
566:
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508:
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491:
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397:
390:
383:
379:
375:
371:
367:
363:
359:
355:
351:
345:
341:
336:
335:
328:
320:
316:
307:
304:
302:
299:
297:
294:
292:
289:
287:
284:
283:
277:
269:
267:
263:
259:
249:
247:
243:
239:
235:
225:
223:
219:
214:
212:
208:
203:
201:
197:
193:
189:
185:
181:
177:
173:
169:
159:
157:
153:
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145:
141:
126:
124:
119:
117:
113:
109:
105:
98:
94:
90:
88:
84:
80:
78:
74:
71:a measure of
70:
68:
64:
60:
59:
58:
56:
52:
48:
40:
36:
32:
19:
2946:
2934:
2915:
2908:
2820:Econometrics
2770: /
2753:Chemometrics
2730:Epidemiology
2723: /
2696:Applications
2538:ARIMA model
2485:Q-statistic
2434:Stationarity
2330:Multivariate
2273: /
2269: /
2267:Multivariate
2265: /
2205: /
2201: /
1975:Bayes factor
1874:Signed rank
1786:
1760:
1752:
1740:
1435:Completeness
1271:Cohort study
1169:Opinion poll
1104:Missing data
1091:Study design
1046:Scatter plot
968:Scatter plot
961:Spearman's Ï
923:Grouped data
587:
583:
573:
538:
534:
524:
489:
485:
475:
456:
450:
395:
389:
381:
376:– via
333:
319:
275:
255:
231:
215:
204:
165:
137:
120:
101:
55:observations
50:
44:
2948:WikiProject
2863:Cartography
2825:Jurimetrics
2777:Reliability
2508:Time domain
2487:(LjungâBox)
2409:Time-series
2287:Categorical
2271:Time-series
2263:Categorical
2198:(Bernoulli)
2033:Correlation
2013:Correlation
1809:JarqueâBera
1781:Chi-squared
1543:M-estimator
1496:Asymptotics
1440:Sufficiency
1207:Interaction
1119:Replication
1099:Effect size
1056:Violin plot
1036:Radar chart
1016:Forest plot
1006:Correlogram
956:Kendall's Ï
222:percentiles
2815:Demography
2533:ARMA model
2338:Regression
1915:(Friedman)
1876:(Wilcoxon)
1814:Normality
1804:Lilliefors
1751:Student's
1627:Resampling
1501:Robustness
1489:divergence
1479:Efficiency
1417:(monotone)
1412:Likelihood
1329:Population
1162:Stratified
1114:Population
933:Dependence
889:Count data
820:Percentile
797:Dispersion
730:Arithmetic
665:Statistics
426:2003060794
358:2008300706
312:References
252:Dependence
142:, are the
95:such as a
2196:Logistic
1963:posterior
1889:Rank sum
1637:Jackknife
1632:Bootstrap
1450:Bootstrap
1385:Parameter
1334:Statistic
1129:Statistic
1041:Run chart
1026:Pie chart
1021:Histogram
1011:Fan chart
986:Bar chart
868:L-moments
755:Geometric
434:939214285
374:23145891M
366:935100347
242:L-moments
211:L-moments
75:like the
2964:Category
2910:Category
2603:Survival
2480:Johansen
2203:Binomial
2158:Isotonic
1745:(normal)
1390:location
1197:Blocking
1152:Sampling
1031:QâQ plot
996:Box plot
978:Graphics
873:Skewness
863:Kurtosis
835:Variance
765:Heronian
760:Harmonic
606:26317396
590:(4): 8.
565:26180505
516:23761928
442:8370727M
280:See also
238:kurtosis
234:skewness
194:and the
176:variance
170:are the
134:Location
129:Examples
116:box plot
87:kurtosis
83:skewness
35:Box plot
2936:Commons
2883:Kriging
2768:Process
2725:studies
2584:Wavelet
2417:General
1584:Plug-in
1378:L space
1157:Cluster
858:Moments
676:Outline
556:4500174
507:4381997
37:of the
2805:Census
2395:Normal
2343:Manova
2163:Robust
1913:2-way
1905:1-way
1743:-test
1414:
991:Biplot
782:Median
775:Lehmer
717:Center
604:
563:
553:
514:
504:
463:
440:
432:
424:
414:
372:
364:
356:
346:
162:Spread
154:, and
148:median
2429:Trend
1958:prior
1900:anova
1789:-test
1763:-test
1755:-test
1662:Power
1607:Pivot
1400:shape
1395:scale
845:Shape
825:Range
770:Heinz
745:Cubic
681:Index
228:Shape
180:range
2662:Test
1862:Sign
1714:Wald
787:Mode
725:Mean
602:PMID
561:PMID
512:PMID
461:ISBN
430:OCLC
422:LCCN
412:ISBN
362:OCLC
354:LCCN
344:ISBN
205:The
152:mode
1842:BIC
1837:AIC
592:doi
551:PMC
543:doi
502:PMC
494:doi
404:doi
236:or
182:,
85:or
45:In
2966::
600:.
588:15
586:.
582:.
559:.
549:.
539:22
537:.
533:.
510:.
500:.
490:24
488:.
484:.
438:OL
436:.
428:.
420:.
410:.
402:.
370:OL
368:.
360:.
352:.
342:.
330:.
213:.
202:.
190:,
186:,
178:,
174:,
158:.
150:,
146:,
118:.
49:,
1787:G
1761:F
1753:t
1741:Z
1460:V
1455:U
657:e
650:t
643:v
608:.
594::
567:.
545::
518:.
496::
469:.
444:.
406::
20:)
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