Knowledge

Stem-and-leaf display

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must first be sorted in ascending order: this can be done most easily if working by hand by constructing a draft of the stem-and-leaf display with the leaves unsorted, then sorting the leaves to produce the final stem-and-leaf display. Here is the sorted set of data values that will be used in the
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The stem-and-leaf display is drawn with two columns separated by a vertical line. The stems are listed to the left of the vertical line. It is important that each stem is listed only once and that no numbers are skipped, even if it means that some stems have no leaves. The leaves are listed in
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Next, it must be determined what the stems will represent and what the leaves will represent. Typically, the leaf contains the last digit of the number and the stem contains all of the other digits. In the case of very large numbers, the data values may be rounded to a particular
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Stem-and-leaf displays are useful for displaying the relative density and shape of the data, giving the reader a quick overview of the distribution. They retain (most of) the raw numerical data, often with perfect integrity. They are also useful for highlighting
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For negative numbers, a negative is placed in front of the stem unit, which is still the value X / 10. Non-integers are rounded. This allows the stem and leaf plot to retain its shape, even for more complicated data sets. As in this example below:
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a│abdeghilmnrstwxy b│aeioy c│h d│aeio e│adefhlmnrstwx f|aey g│iou h│aeimo i│dfnost j│ao k│aioy l│aio m│aeimouy n│aeouy o│bdefhikmnoprsuwxy p│aeio q│i r│e s│hiot t│aeio u│ghmnprst v│ w│eo x│iu y│aeou z│aeo
92:(typewriter) typestyles that allowed computer technology of the time to easily produce the graphics. Modern computers' superior graphic capabilities have meant these techniques are less often used. 121:
Unlike histograms, stem-and-leaf displays retain the original data to at least two significant digits, and put the data in order, thereby easing the move to order-based inference and
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When there is a repeated number in the data (such as two 72s), the plot must reflect such (so the plot would look like 7 | 2 2 5 6 7 when it has the numbers 72 72 75 76 77).
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may be better suited for such data. With very large data sets, a stem-and-leaf display will become very cluttered, since each data point must be represented numerically. A
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Rounding may be needed to create a stem-and-leaf display. Based on the following set of data, the stem plot below would be created:
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In this example, the leaf represents the ones place and the stem will represent the rest of the number (tens place and higher).
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Stem-and-leaf displays can also be used to convey non-numerical information. In this example of valid two-letter words in
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Some railway timetables use stem-and-leaf displays with hours as stems and minutes as leaves
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under 100 shows that the most frequent tens digits are 0 and 1 while the least is 9
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in 1977. The popularity during those years is attributable to their use of
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as stems, it can be easily seen that the three most common initials are
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Exploring Data: An Introduction to Data Analysis for Social Scientists
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44, 46, 47, 49, 63, 64, 66, 68, 68, 72, 72, 75, 76, 81, 84, 88, 106
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Chance Encounters: A First Course in Data Analysis and Inference
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Two-Letter Scrabble Words Visualized as Stem and Leaf Plot
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may become more appropriate as the data size increases.
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increasing order in a row to the right of each stem.
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Autoregressive conditional heteroskedasticity (ARCH)
74:'s work in the early 1900s, and are useful tools in 2214: 717: 595: 555: 376: 342: 3167: 95:This plot has been implemented in Octave and R. 2300:Multivariate adaptive regression splines (MARS) 114:value with a vertical line, and the individual 855: 27:Format for presentation of quantitative data 900: 862: 848: 685: 134:To construct a stem-and-leaf display, the 1513: 29: 821:Elliott, Jane; Catherine Marsh (2008). 651:tournaments outside the US) with their 14: 3168: 2826:Kaplan–Meier estimator (product limit) 98:A stem-and-leaf plot is also called a 2899: 2466: 2213: 1512: 1282: 899: 843: 715: 3136: 2836:Accelerated failure time (AFT) model 810:pp. 49–54 John Wiley and Sons. 635: 3148: 2431:Analysis of variance (ANOVA, anova) 1283: 24: 2526:Cochran–Mantel–Haenszel statistics 1152:Pearson product-moment correlation 25: 3192: 118:values with symbols on the line. 3147: 3135: 3123: 3110: 3109: 2900: 673: 110:axis, and identifying the common 3176:Statistical charts and diagrams 2785:Least-squares spectral analysis 778:create a stem-and-leaf display. 129: 62:, to assist in visualizing the 1766:Mean-unbiased minimum-variance 869: 825:(2nd ed.). Polity Press. 806:Wild, C. and Seber, G. (2000) 781: 760: 749: 738: 709: 13: 1: 3079:Geographic information system 2295:Simultaneous equations models 800: 2262:Coefficient of determination 1873:Uniformly most powerful test 596:{\displaystyle -2\mid 4=-24} 50:is a device for presenting 7: 2831:Proportional hazards models 2775:Spectral density estimation 2757:Vector autoregression (VAR) 2191:Maximum posterior estimator 1423:Randomized controlled trial 10: 3197: 2591:Multivariate distributions 1011:Average absolute deviation 377:{\displaystyle 6\mid 3=63} 3181:Exploratory data analysis 3105: 3059: 2996: 2949: 2912: 2908: 2895: 2867: 2849: 2816: 2807: 2765: 2712: 2673: 2622: 2613: 2579:Structural equation model 2534: 2491: 2487: 2462: 2421: 2387: 2341: 2308: 2270: 2237: 2233: 2209: 2149: 2058: 1977: 1941: 1932: 1915:Score/Lagrange multiplier 1900: 1853: 1798: 1724: 1715: 1525: 1521: 1508: 1467: 1441: 1393: 1348: 1330:Sample size determination 1295: 1291: 1278: 1182: 1137: 1111: 1093: 1049: 1001: 921: 912: 908: 895: 877: 720:Exploratory Data Analysis 123:non-parametric statistics 85:exploratory data analysis 76:exploratory data analysis 3074:Environmental statistics 2596:Elliptical distributions 2389:Generalized linear model 2318:Simple linear regression 2088:Hodges–Lehmann estimator 1545:Probability distribution 1454:Stochastic approximation 1016:Coefficient of variation 774:stem functions. They do 702: 606: 34:A stem-and-leaf plot of 2734:Cross-correlation (XCF) 2342:Non-standard predictors 1776:Lehmann–ScheffĂ© theorem 1449:Adaptive clinical trial 724:(1 ed.). Pearson. 716:Tukey, John W. (1977). 647:(the word list used in 3130:Mathematics portal 2951:Engineering statistics 2859:Nelson–Aalen estimator 2436:Analysis of covariance 2323:Ordinary least squares 2247:Pearson product-moment 1651:Statistical functional 1562:Empirical distribution 1395:Controlled experiments 1124:Frequency distribution 902:Descriptive statistics 645:Collins Scrabble Words 597: 557: 378: 344: 39: 3046:Population statistics 2988:System identification 2722:Autocorrelation (ACF) 2650:Exponential smoothing 2564:Discriminant analysis 2559:Canonical correlation 2423:Partition of variance 2285:Regression validation 2129:(Jonckheere–Terpstra) 2028:Likelihood-ratio test 1717:Frequentist inference 1629:Location–scale family 1550:Sampling distribution 1515:Statistical inference 1482:Cross-sectional study 1469:Observational studies 1428:Randomized experiment 1257:Stem-and-leaf display 1059:Central limit theorem 598: 558: 379: 345: 106:values onto a common 58:format, similar to a 44:stem-and-leaf display 33: 2969:Probabilistic design 2554:Principal components 2397:Exponential families 2349:Nonlinear regression 2328:General linear model 2290:Mixed effects models 2280:Errors and residuals 2257:Confounding variable 2159:Bayesian probability 2137:Van der Waerden test 2127:Ordered alternative 1892:Multiple comparisons 1771:Rao–Blackwellization 1734:Estimating equations 1690:Statistical distance 1408:Factorial experiment 941:Arithmetic-Geometric 569: 409: 356: 169: 70:. They evolved from 3041:Official statistics 2964:Methods engineering 2645:Seasonal adjustment 2413:Poisson regressions 2333:Bayesian regression 2272:Regression analysis 2252:Partial correlation 2224:Regression analysis 1823:Prediction interval 1818:Likelihood interval 1808:Confidence interval 1800:Interval estimation 1761:Unbiased estimators 1579:Model specification 1459:Up-and-down designs 1147:Partial correlation 1103:Index of dispersion 1021:Interquartile range 139:following example: 3061:Spatial statistics 2941:Medical statistics 2841:First hitting time 2795:Whittle likelihood 2446:Degrees of freedom 2441:Multivariate ANOVA 2374:Heteroscedasticity 2186:Bayesian estimator 2151:Bayesian inference 2000:Kolmogorov–Smirnov 1885:Randomization test 1855:Testing hypotheses 1828:Tolerance interval 1739:Maximum likelihood 1634:Exponential family 1567:Density estimation 1527:Statistical theory 1487:Natural experiment 1433:Scientific control 1350:Survey methodology 1036:Standard deviation 745:Function in Octave 681:{{{annotations}}} 593: 553: 551: 374: 340: 338: 48:stem-and-leaf plot 40: 3163: 3162: 3101: 3100: 3097: 3096: 3036:National accounts 3006:Actuarial science 2998:Social statistics 2891: 2890: 2887: 2886: 2883: 2882: 2818:Survival function 2803: 2802: 2665:Granger causality 2506:Contingency table 2481:Survival analysis 2458: 2457: 2454: 2453: 2310:Linear regression 2205: 2204: 2201: 2200: 2176:Credible interval 2145: 2144: 1928: 1927: 1744:Method of moments 1613:Parametric family 1574:Statistical model 1504: 1503: 1500: 1499: 1418:Random assignment 1340:Statistical power 1274: 1273: 1270: 1269: 1119:Contingency table 1089: 1088: 956:Generalized/power 636:Non-numerical use 493: 487: 426: 419: 312: 306: 288: 282: 276: 258: 252: 246: 240: 214: 208: 202: 186: 179: 52:quantitative data 16:(Redirected from 3188: 3151: 3150: 3139: 3138: 3128: 3127: 3113: 3112: 3016:Crime statistics 2910: 2909: 2897: 2896: 2814: 2813: 2780:Fourier analysis 2767:Frequency domain 2747: 2694: 2660:Structural break 2620: 2619: 2569:Cluster analysis 2516:Log-linear model 2489: 2488: 2464: 2463: 2405: 2379:Homoscedasticity 2235: 2234: 2211: 2210: 2130: 2122: 2114: 2113:(Kruskal–Wallis) 2098: 2083: 2038:Cross validation 2023: 2005:Anderson–Darling 1952: 1939: 1938: 1910:Likelihood-ratio 1902:Parametric tests 1880:Permutation test 1863:1- & 2-tails 1754:Minimum distance 1726:Point estimation 1722: 1721: 1673:Optimal decision 1624: 1523: 1522: 1510: 1509: 1492:Quasi-experiment 1442:Adaptive designs 1293: 1292: 1280: 1279: 1157:Rank correlation 919: 918: 910: 909: 897: 896: 864: 857: 850: 841: 840: 836: 794: 785: 779: 764: 758: 753: 747: 742: 736: 735: 723: 713: 689: 677: 666: 662: 658: 616:and finding the 602: 600: 599: 594: 562: 560: 559: 554: 552: 537: 529: 491: 485: 427: 424: 420: 417: 383: 381: 380: 375: 349: 347: 346: 341: 339: 324: 310: 304: 286: 280: 274: 256: 250: 244: 238: 226: 212: 206: 200: 187: 184: 180: 177: 21: 3196: 3195: 3191: 3190: 3189: 3187: 3186: 3185: 3166: 3165: 3164: 3159: 3122: 3093: 3055: 2992: 2978:quality control 2945: 2927:Clinical trials 2904: 2879: 2863: 2851:Hazard function 2845: 2799: 2761: 2745: 2708: 2704:Breusch–Godfrey 2692: 2669: 2609: 2584:Factor analysis 2530: 2511:Graphical model 2483: 2450: 2417: 2403: 2383: 2337: 2304: 2266: 2229: 2228: 2197: 2141: 2128: 2120: 2112: 2096: 2081: 2060:Rank statistics 2054: 2033:Model selection 2021: 1979:Goodness of fit 1973: 1950: 1924: 1896: 1849: 1794: 1783:Median unbiased 1711: 1622: 1555:Order statistic 1517: 1496: 1463: 1437: 1389: 1344: 1287: 1285:Data collection 1266: 1178: 1133: 1107: 1085: 1045: 997: 914:Continuous data 904: 891: 873: 868: 833: 803: 798: 797: 787:Gideon Goldin, 786: 782: 765: 761: 754: 750: 743: 739: 732: 714: 710: 705: 700: 699: 698: 696: 691: 690: 683: 678: 664: 660: 656: 641: 638: 609: 570: 567: 566: 550: 549: 544: 538: 536: 530: 528: 522: 521: 516: 510: 509: 504: 498: 497: 480: 474: 473: 468: 459: 458: 453: 444: 443: 438: 429: 428: 423: 421: 416: 412: 410: 407: 406: 389:Stem unit: 10.0 357: 354: 353: 337: 336: 331: 325: 323: 317: 316: 299: 293: 292: 269: 263: 262: 233: 227: 225: 219: 218: 195: 189: 188: 183: 181: 176: 172: 170: 167: 166: 132: 126: 28: 23: 22: 15: 12: 11: 5: 3194: 3184: 3183: 3178: 3161: 3160: 3158: 3157: 3145: 3133: 3119: 3106: 3103: 3102: 3099: 3098: 3095: 3094: 3092: 3091: 3086: 3081: 3076: 3071: 3065: 3063: 3057: 3056: 3054: 3053: 3048: 3043: 3038: 3033: 3028: 3023: 3018: 3013: 3008: 3002: 3000: 2994: 2993: 2991: 2990: 2985: 2980: 2971: 2966: 2961: 2955: 2953: 2947: 2946: 2944: 2943: 2938: 2933: 2924: 2922:Bioinformatics 2918: 2916: 2906: 2905: 2893: 2892: 2889: 2888: 2885: 2884: 2881: 2880: 2878: 2877: 2871: 2869: 2865: 2864: 2862: 2861: 2855: 2853: 2847: 2846: 2844: 2843: 2838: 2833: 2828: 2822: 2820: 2811: 2805: 2804: 2801: 2800: 2798: 2797: 2792: 2787: 2782: 2777: 2771: 2769: 2763: 2762: 2760: 2759: 2754: 2749: 2741: 2736: 2731: 2730: 2729: 2727:partial (PACF) 2718: 2716: 2710: 2709: 2707: 2706: 2701: 2696: 2688: 2683: 2677: 2675: 2674:Specific tests 2671: 2670: 2668: 2667: 2662: 2657: 2652: 2647: 2642: 2637: 2632: 2626: 2624: 2617: 2611: 2610: 2608: 2607: 2606: 2605: 2604: 2603: 2588: 2587: 2586: 2576: 2574:Classification 2571: 2566: 2561: 2556: 2551: 2546: 2540: 2538: 2532: 2531: 2529: 2528: 2523: 2521:McNemar's test 2518: 2513: 2508: 2503: 2497: 2495: 2485: 2484: 2460: 2459: 2456: 2455: 2452: 2451: 2449: 2448: 2443: 2438: 2433: 2427: 2425: 2419: 2418: 2416: 2415: 2399: 2393: 2391: 2385: 2384: 2382: 2381: 2376: 2371: 2366: 2361: 2359:Semiparametric 2356: 2351: 2345: 2343: 2339: 2338: 2336: 2335: 2330: 2325: 2320: 2314: 2312: 2306: 2305: 2303: 2302: 2297: 2292: 2287: 2282: 2276: 2274: 2268: 2267: 2265: 2264: 2259: 2254: 2249: 2243: 2241: 2231: 2230: 2227: 2226: 2221: 2215: 2207: 2206: 2203: 2202: 2199: 2198: 2196: 2195: 2194: 2193: 2183: 2178: 2173: 2172: 2171: 2166: 2155: 2153: 2147: 2146: 2143: 2142: 2140: 2139: 2134: 2133: 2132: 2124: 2116: 2100: 2097:(Mann–Whitney) 2092: 2091: 2090: 2077: 2076: 2075: 2064: 2062: 2056: 2055: 2053: 2052: 2051: 2050: 2045: 2040: 2030: 2025: 2022:(Shapiro–Wilk) 2017: 2012: 2007: 2002: 1997: 1989: 1983: 1981: 1975: 1974: 1972: 1971: 1963: 1954: 1942: 1936: 1934:Specific tests 1930: 1929: 1926: 1925: 1923: 1922: 1917: 1912: 1906: 1904: 1898: 1897: 1895: 1894: 1889: 1888: 1887: 1877: 1876: 1875: 1865: 1859: 1857: 1851: 1850: 1848: 1847: 1846: 1845: 1840: 1830: 1825: 1820: 1815: 1810: 1804: 1802: 1796: 1795: 1793: 1792: 1787: 1786: 1785: 1780: 1779: 1778: 1773: 1758: 1757: 1756: 1751: 1746: 1741: 1730: 1728: 1719: 1713: 1712: 1710: 1709: 1704: 1699: 1698: 1697: 1687: 1682: 1681: 1680: 1670: 1669: 1668: 1663: 1658: 1648: 1643: 1638: 1637: 1636: 1631: 1626: 1610: 1609: 1608: 1603: 1598: 1588: 1587: 1586: 1581: 1571: 1570: 1569: 1559: 1558: 1557: 1547: 1542: 1537: 1531: 1529: 1519: 1518: 1506: 1505: 1502: 1501: 1498: 1497: 1495: 1494: 1489: 1484: 1479: 1473: 1471: 1465: 1464: 1462: 1461: 1456: 1451: 1445: 1443: 1439: 1438: 1436: 1435: 1430: 1425: 1420: 1415: 1410: 1405: 1399: 1397: 1391: 1390: 1388: 1387: 1385:Standard error 1382: 1377: 1372: 1371: 1370: 1365: 1354: 1352: 1346: 1345: 1343: 1342: 1337: 1332: 1327: 1322: 1317: 1315:Optimal design 1312: 1307: 1301: 1299: 1289: 1288: 1276: 1275: 1272: 1271: 1268: 1267: 1265: 1264: 1259: 1254: 1249: 1244: 1239: 1234: 1229: 1224: 1219: 1214: 1209: 1204: 1199: 1194: 1188: 1186: 1180: 1179: 1177: 1176: 1171: 1170: 1169: 1164: 1154: 1149: 1143: 1141: 1135: 1134: 1132: 1131: 1126: 1121: 1115: 1113: 1112:Summary tables 1109: 1108: 1106: 1105: 1099: 1097: 1091: 1090: 1087: 1086: 1084: 1083: 1082: 1081: 1076: 1071: 1061: 1055: 1053: 1047: 1046: 1044: 1043: 1038: 1033: 1028: 1023: 1018: 1013: 1007: 1005: 999: 998: 996: 995: 990: 985: 984: 983: 978: 973: 968: 963: 958: 953: 948: 946:Contraharmonic 943: 938: 927: 925: 916: 906: 905: 893: 892: 890: 889: 884: 878: 875: 874: 867: 866: 859: 852: 844: 838: 837: 831: 818: 802: 799: 796: 795: 780: 759: 748: 737: 730: 707: 706: 704: 701: 693: 692: 684: 679: 672: 671: 670: 669: 639: 637: 634: 608: 605: 604: 603: 592: 589: 586: 583: 580: 577: 574: 563: 548: 545: 543: 540: 539: 535: 532: 531: 527: 524: 523: 520: 517: 515: 512: 511: 508: 505: 503: 500: 499: 496: 490: 484: 481: 479: 476: 475: 472: 469: 467: 464: 461: 460: 457: 454: 452: 449: 446: 445: 442: 439: 437: 434: 431: 430: 422: 415: 414: 399: 398: 391: 390: 387: 386:Leaf unit: 1.0 384: 373: 370: 367: 364: 361: 350: 335: 332: 330: 327: 326: 322: 319: 318: 315: 309: 303: 300: 298: 295: 294: 291: 285: 279: 273: 270: 268: 265: 264: 261: 255: 249: 243: 237: 234: 232: 229: 228: 224: 221: 220: 217: 211: 205: 199: 196: 194: 191: 190: 182: 175: 174: 145: 144: 131: 128: 26: 9: 6: 4: 3: 2: 3193: 3182: 3179: 3177: 3174: 3173: 3171: 3156: 3155: 3146: 3144: 3143: 3134: 3132: 3131: 3126: 3120: 3118: 3117: 3108: 3107: 3104: 3090: 3087: 3085: 3084:Geostatistics 3082: 3080: 3077: 3075: 3072: 3070: 3067: 3066: 3064: 3062: 3058: 3052: 3051:Psychometrics 3049: 3047: 3044: 3042: 3039: 3037: 3034: 3032: 3029: 3027: 3024: 3022: 3019: 3017: 3014: 3012: 3009: 3007: 3004: 3003: 3001: 2999: 2995: 2989: 2986: 2984: 2981: 2979: 2975: 2972: 2970: 2967: 2965: 2962: 2960: 2957: 2956: 2954: 2952: 2948: 2942: 2939: 2937: 2934: 2932: 2928: 2925: 2923: 2920: 2919: 2917: 2915: 2914:Biostatistics 2911: 2907: 2903: 2898: 2894: 2876: 2875:Log-rank test 2873: 2872: 2870: 2866: 2860: 2857: 2856: 2854: 2852: 2848: 2842: 2839: 2837: 2834: 2832: 2829: 2827: 2824: 2823: 2821: 2819: 2815: 2812: 2810: 2806: 2796: 2793: 2791: 2788: 2786: 2783: 2781: 2778: 2776: 2773: 2772: 2770: 2768: 2764: 2758: 2755: 2753: 2750: 2748: 2746:(Box–Jenkins) 2742: 2740: 2737: 2735: 2732: 2728: 2725: 2724: 2723: 2720: 2719: 2717: 2715: 2711: 2705: 2702: 2700: 2699:Durbin–Watson 2697: 2695: 2689: 2687: 2684: 2682: 2681:Dickey–Fuller 2679: 2678: 2676: 2672: 2666: 2663: 2661: 2658: 2656: 2655:Cointegration 2653: 2651: 2648: 2646: 2643: 2641: 2638: 2636: 2633: 2631: 2630:Decomposition 2628: 2627: 2625: 2621: 2618: 2616: 2612: 2602: 2599: 2598: 2597: 2594: 2593: 2592: 2589: 2585: 2582: 2581: 2580: 2577: 2575: 2572: 2570: 2567: 2565: 2562: 2560: 2557: 2555: 2552: 2550: 2547: 2545: 2542: 2541: 2539: 2537: 2533: 2527: 2524: 2522: 2519: 2517: 2514: 2512: 2509: 2507: 2504: 2502: 2501:Cohen's kappa 2499: 2498: 2496: 2494: 2490: 2486: 2482: 2478: 2474: 2470: 2465: 2461: 2447: 2444: 2442: 2439: 2437: 2434: 2432: 2429: 2428: 2426: 2424: 2420: 2414: 2410: 2406: 2400: 2398: 2395: 2394: 2392: 2390: 2386: 2380: 2377: 2375: 2372: 2370: 2367: 2365: 2362: 2360: 2357: 2355: 2354:Nonparametric 2352: 2350: 2347: 2346: 2344: 2340: 2334: 2331: 2329: 2326: 2324: 2321: 2319: 2316: 2315: 2313: 2311: 2307: 2301: 2298: 2296: 2293: 2291: 2288: 2286: 2283: 2281: 2278: 2277: 2275: 2273: 2269: 2263: 2260: 2258: 2255: 2253: 2250: 2248: 2245: 2244: 2242: 2240: 2236: 2232: 2225: 2222: 2220: 2217: 2216: 2212: 2208: 2192: 2189: 2188: 2187: 2184: 2182: 2179: 2177: 2174: 2170: 2167: 2165: 2162: 2161: 2160: 2157: 2156: 2154: 2152: 2148: 2138: 2135: 2131: 2125: 2123: 2117: 2115: 2109: 2108: 2107: 2104: 2103:Nonparametric 2101: 2099: 2093: 2089: 2086: 2085: 2084: 2078: 2074: 2073:Sample median 2071: 2070: 2069: 2066: 2065: 2063: 2061: 2057: 2049: 2046: 2044: 2041: 2039: 2036: 2035: 2034: 2031: 2029: 2026: 2024: 2018: 2016: 2013: 2011: 2008: 2006: 2003: 2001: 1998: 1996: 1994: 1990: 1988: 1985: 1984: 1982: 1980: 1976: 1970: 1968: 1964: 1962: 1960: 1955: 1953: 1948: 1944: 1943: 1940: 1937: 1935: 1931: 1921: 1918: 1916: 1913: 1911: 1908: 1907: 1905: 1903: 1899: 1893: 1890: 1886: 1883: 1882: 1881: 1878: 1874: 1871: 1870: 1869: 1866: 1864: 1861: 1860: 1858: 1856: 1852: 1844: 1841: 1839: 1836: 1835: 1834: 1831: 1829: 1826: 1824: 1821: 1819: 1816: 1814: 1811: 1809: 1806: 1805: 1803: 1801: 1797: 1791: 1788: 1784: 1781: 1777: 1774: 1772: 1769: 1768: 1767: 1764: 1763: 1762: 1759: 1755: 1752: 1750: 1747: 1745: 1742: 1740: 1737: 1736: 1735: 1732: 1731: 1729: 1727: 1723: 1720: 1718: 1714: 1708: 1705: 1703: 1700: 1696: 1693: 1692: 1691: 1688: 1686: 1683: 1679: 1678:loss function 1676: 1675: 1674: 1671: 1667: 1664: 1662: 1659: 1657: 1654: 1653: 1652: 1649: 1647: 1644: 1642: 1639: 1635: 1632: 1630: 1627: 1625: 1619: 1616: 1615: 1614: 1611: 1607: 1604: 1602: 1599: 1597: 1594: 1593: 1592: 1589: 1585: 1582: 1580: 1577: 1576: 1575: 1572: 1568: 1565: 1564: 1563: 1560: 1556: 1553: 1552: 1551: 1548: 1546: 1543: 1541: 1538: 1536: 1533: 1532: 1530: 1528: 1524: 1520: 1516: 1511: 1507: 1493: 1490: 1488: 1485: 1483: 1480: 1478: 1475: 1474: 1472: 1470: 1466: 1460: 1457: 1455: 1452: 1450: 1447: 1446: 1444: 1440: 1434: 1431: 1429: 1426: 1424: 1421: 1419: 1416: 1414: 1411: 1409: 1406: 1404: 1401: 1400: 1398: 1396: 1392: 1386: 1383: 1381: 1380:Questionnaire 1378: 1376: 1373: 1369: 1366: 1364: 1361: 1360: 1359: 1356: 1355: 1353: 1351: 1347: 1341: 1338: 1336: 1333: 1331: 1328: 1326: 1323: 1321: 1318: 1316: 1313: 1311: 1308: 1306: 1303: 1302: 1300: 1298: 1294: 1290: 1286: 1281: 1277: 1263: 1260: 1258: 1255: 1253: 1250: 1248: 1245: 1243: 1240: 1238: 1235: 1233: 1230: 1228: 1225: 1223: 1220: 1218: 1215: 1213: 1210: 1208: 1207:Control chart 1205: 1203: 1200: 1198: 1195: 1193: 1190: 1189: 1187: 1185: 1181: 1175: 1172: 1168: 1165: 1163: 1160: 1159: 1158: 1155: 1153: 1150: 1148: 1145: 1144: 1142: 1140: 1136: 1130: 1127: 1125: 1122: 1120: 1117: 1116: 1114: 1110: 1104: 1101: 1100: 1098: 1096: 1092: 1080: 1077: 1075: 1072: 1070: 1067: 1066: 1065: 1062: 1060: 1057: 1056: 1054: 1052: 1048: 1042: 1039: 1037: 1034: 1032: 1029: 1027: 1024: 1022: 1019: 1017: 1014: 1012: 1009: 1008: 1006: 1004: 1000: 994: 991: 989: 986: 982: 979: 977: 974: 972: 969: 967: 964: 962: 959: 957: 954: 952: 949: 947: 944: 942: 939: 937: 934: 933: 932: 929: 928: 926: 924: 920: 917: 915: 911: 907: 903: 898: 894: 888: 885: 883: 880: 879: 876: 872: 865: 860: 858: 853: 851: 846: 845: 842: 834: 832:0-7456-2282-8 828: 824: 819: 817: 816:0-471-32936-3 813: 809: 805: 804: 792: 791: 784: 777: 773: 769: 763: 757: 756:Function in R 752: 746: 741: 733: 731:0-201-07616-0 727: 722: 721: 712: 708: 695: 688: 682: 676: 668: 654: 650: 646: 633: 631: 627: 623: 619: 615: 590: 587: 584: 581: 578: 575: 572: 564: 546: 541: 533: 525: 518: 513: 506: 501: 494: 488: 482: 477: 470: 465: 462: 455: 450: 447: 440: 435: 432: 405: 404: 403: 396: 395: 394: 388: 385: 371: 368: 365: 362: 359: 351: 333: 328: 320: 313: 307: 301: 296: 289: 283: 277: 271: 266: 259: 253: 247: 241: 235: 230: 222: 215: 209: 203: 197: 192: 165: 164: 163: 160: 156: 153: 151: 142: 141: 140: 137: 127: 124: 119: 117: 113: 109: 105: 101: 96: 93: 91: 87: 86: 81: 77: 73: 72:Arthur Bowley 69: 65: 61: 57: 53: 49: 45: 37: 36:prime numbers 32: 19: 3152: 3140: 3121: 3114: 3026:Econometrics 2976: / 2959:Chemometrics 2936:Epidemiology 2929: / 2902:Applications 2744:ARIMA model 2691:Q-statistic 2640:Stationarity 2536:Multivariate 2479: / 2475: / 2473:Multivariate 2471: / 2411: / 2407: / 2181:Bayes factor 2080:Signed rank 1992: 1966: 1958: 1946: 1641:Completeness 1477:Cohort study 1375:Opinion poll 1310:Missing data 1297:Study design 1256: 1252:Scatter plot 1174:Scatter plot 1167:Spearman's ρ 1129:Grouped data 822: 807: 793:, 2020-10-01 789: 783: 775: 772:Matplotlib's 762: 751: 740: 719: 711: 680: 642: 610: 400: 392: 161: 157: 154: 146: 136:observations 133: 130:Construction 120: 115: 111: 107: 103: 99: 97: 94: 83: 68:distribution 47: 43: 41: 3154:WikiProject 3069:Cartography 3031:Jurimetrics 2983:Reliability 2714:Time domain 2693:(Ljung–Box) 2615:Time-series 2493:Categorical 2477:Time-series 2469:Categorical 2404:(Bernoulli) 2239:Correlation 2219:Correlation 2015:Jarque–Bera 1987:Chi-squared 1749:M-estimator 1702:Asymptotics 1646:Sufficiency 1413:Interaction 1325:Replication 1305:Effect size 1262:Violin plot 1242:Radar chart 1222:Forest plot 1212:Correlogram 1162:Kendall's τ 150:place value 82:'s book on 3170:Categories 3021:Demography 2739:ARMA model 2544:Regression 2121:(Friedman) 2082:(Wilcoxon) 2020:Normality 2010:Lilliefors 1957:Student's 1833:Resampling 1707:Robustness 1695:divergence 1685:Efficiency 1623:(monotone) 1618:Likelihood 1535:Population 1368:Stratified 1320:Population 1139:Dependence 1095:Count data 1026:Percentile 1003:Dispersion 936:Arithmetic 871:Statistics 801:References 766:Examples: 90:monospaced 80:John Tukey 2402:Logistic 2169:posterior 2095:Rank sum 1843:Jackknife 1838:Bootstrap 1656:Bootstrap 1591:Parameter 1540:Statistic 1335:Statistic 1247:Run chart 1232:Pie chart 1227:Histogram 1217:Fan chart 1192:Bar chart 1074:L-moments 961:Geometric 630:histogram 588:− 579:∣ 573:− 463:− 448:− 433:− 363:∣ 60:histogram 56:graphical 3116:Category 2809:Survival 2686:Johansen 2409:Binomial 2364:Isotonic 1951:(normal) 1596:location 1403:Blocking 1358:Sampling 1237:Q–Q plot 1202:Box plot 1184:Graphics 1079:Skewness 1069:Kurtosis 1041:Variance 971:Heronian 966:Harmonic 768:MATLAB's 653:initials 649:Scrabble 626:box plot 622:dot plot 614:outliers 100:stemplot 18:Stemplot 3142:Commons 3089:Kriging 2974:Process 2931:studies 2790:Wavelet 2623:General 1790:Plug-in 1584:L space 1363:Cluster 1064:Moments 882:Outline 3011:Census 2601:Normal 2549:Manova 2369:Robust 2119:2-way 2111:1-way 1949:-test 1620:  1197:Biplot 988:Median 981:Lehmer 923:Center 829:  814:  728:  492:  486:  311:  305:  287:  281:  275:  257:  251:  245:  239:  213:  207:  201:  2635:Trend 2164:prior 2106:anova 1995:-test 1969:-test 1961:-test 1868:Power 1813:Pivot 1606:shape 1601:scale 1051:Shape 1031:Range 976:Heinz 951:Cubic 887:Index 703:Notes 607:Usage 565:Key: 352:Key: 66:of a 64:shape 54:in a 2868:Test 2068:Sign 1920:Wald 993:Mode 931:Mean 827:ISBN 812:ISBN 770:and 726:ISBN 663:and 618:mode 425:Leaf 418:Stem 185:Leaf 178:Stem 2048:BIC 2043:AIC 776:not 628:or 46:or 3172:: 667:. 659:, 591:24 372:63 329:10 125:. 116:y 42:A 1993:G 1967:F 1959:t 1947:Z 1666:V 1661:U 863:e 856:t 849:v 835:. 734:. 665:e 661:a 657:o 585:= 582:4 576:2 547:7 542:5 534:4 526:3 519:5 514:2 507:7 502:1 495:6 489:6 483:4 478:0 471:3 466:0 456:2 451:1 441:4 436:2 369:= 366:3 360:6 334:6 321:9 314:8 308:4 302:1 297:8 290:6 284:5 278:2 272:2 267:7 260:8 254:8 248:6 242:4 236:3 231:6 223:5 216:9 210:7 204:6 198:4 193:4 112:x 108:x 104:y 20:)

Index

Stemplot

prime numbers
quantitative data
graphical
histogram
shape
distribution
Arthur Bowley
exploratory data analysis
John Tukey
exploratory data analysis
monospaced
non-parametric statistics
observations
place value
outliers
mode
dot plot
box plot
histogram
Collins Scrabble Words
Scrabble
initials



Exploratory Data Analysis
ISBN
0-201-07616-0

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