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Percentile

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174:, but, as just noted, they are not the same. For percentile ranks, a score is given and a percentage is computed. Percentile ranks are exclusive: if the percentile rank for a specified score is 90%, then 90% of the scores were lower. In contrast, for percentiles a percentage is given and a corresponding score is determined, which can be either exclusive or inclusive. The score for a specified percentage (e.g., 90th) indicates a score below which (exclusive definition) or at or below which (inclusive definition) other scores in the distribution fall. 6644: 3968: 338:, the 95th or 98th percentile usually cuts off the top 5% or 2% of bandwidth peaks in each month, and then bills at the nearest rate. In this way, infrequent peaks are ignored, and the customer is charged in a fairer way. The reason this statistic is so useful in measuring data throughput is that it gives a very accurate picture of the cost of the bandwidth. The 95th percentile says that 95% of the time, the usage is below this amount: so, the remaining 5% of the time, the usage is above that amount. 219: 2135: 6630: 373: 6668: 6656: 784: 3314: 1329: 774:
Interpolation methods, as the name implies, can return a score that is between scores in the distribution. Algorithms used by statistical programs typically use interpolation methods, for example, the percentile.exc and percentile.inc functions in Microsoft Excel. The Interpolated Methods table
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There are many formulas or algorithms for a percentile score. Hyndman and Fan identified nine and most statistical and spreadsheet software use one of the methods they describe. Algorithms either return the value of a score that exists in the set of scores (nearest-rank methods) or interpolate
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The figure shows a 10-score distribution, illustrates the percentile scores that result from these different algorithms, and serves as an introduction to the examples given subsequently. The simplest are nearest-rank methods that return a score from the distribution, although compared to
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or the three-sigma rule. Note that in theory the 0th percentile falls at negative infinity and the 100th percentile at positive infinity, although in many practical applications, such as test results, natural lower and/or upper limits are enforced.
432: 3075: 2709: 2463: 1127: 1077: 3647: 442: 234:(Ό), which accounts for about 68.3% of the population. Two standard deviations from the mean (dark and medium blue) account for about 95.4%, and three standard deviations (dark, medium, and light blue) for about 99.7%. 2557: 3947: 908: 2899: 3793: 1720: 2148: 3390: 3410:, where the percentage in the total weight is counted instead of the total number. There is no standard function for a weighted percentile. One method extends the above approach in a natural way. 845:
percent of the data is less than or equal to that value. This is obtained by first calculating the ordinal rank and then taking the value from the ordered list that corresponds to that rank. The
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is a standard measure to assess (in a model-dependent way) the quantity under which the value of the portfolio is not expected to sink within a given period of time and given a confidence value.
1725: 2817: 3483: 433: 3554: 1647: 2112: 166:, which represents the fraction of scores in its distribution that are less than it, an exclusive definition. Percentile scores and percentile ranks are often used in the reporting of 1465: 289:
Percentiles represent the area under the normal curve, increasing from left to right. Each standard deviation represents a fixed percentile. Thus, rounding to two decimal places, −3
1956: 2928: 1358: 3067: 831: 2609: 1501: 1396: 3032: 3309:{\displaystyle x=f(p,N)={\begin{cases}1{\text{, }}p\in \left\\p(N+1){\text{, }}p\in \left({\frac {1}{N+1}},{\frac {N}{N+1}}\right)\\N{\text{, }}p\in \left\end{cases}}.} 1119: 268: 2030: 1555: 3681: 2966: 1712: 1682: 5765: 2985: 1426: 6270: 3813: 2620: 1324:{\displaystyle v(x)=v_{\lfloor x\rfloor }+(x{\bmod {1}})(v_{\lfloor x\rfloor +1}-v_{\lfloor x\rfloor }),\forall x\in :v(i)=v_{i}{\text{, for }}i=1,2,\ldots ,N,} 2062: 1991: 341:
Physicians will often use infant and children's weight and height to assess their growth in comparison to national averages and percentiles which are found in
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on the left and positive infinity on the right. Note, however, that only a very small proportion of individuals in a population will fall outside the −3
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interpolation methods, results can be a bit crude. The Nearest-Rank Methods table shows the computational steps for exclusive and inclusive methods.
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There is no standard definition of percentile; however, all definitions yield similar results when the number of observations is very large and the
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Using the nearest-rank method on lists with fewer than 100 distinct values can result in the same value being used for more than one percentile.
2119: 3825: 4680: 4380: 861: 5284: 4432: 1865:{\displaystyle {\begin{aligned}f(0.5,N)&={\frac {N+c_{1}}{2}}+c_{2}={\frac {N+1}{2}}\\\therefore 2c_{2}+c_{1}&=1\end{aligned}},} 6672: 246:, percentiles may often be represented by reference to a normal curve plot. The normal distribution is plotted along an axis scaled to 2988:. Adopted by Microsoft Excel since 2010 by means of PERCENTIL.EXC function. However, as the "EXC" suffix indicates, the Excel version 2823: 3693: 6067: 5959: 4177: 2354:{\displaystyle x=f(p)={\begin{cases}Np+{\frac {1}{2}},\forall p\in \left,\\1,\forall p\in \left,\\N,\forall p\in \left.\end{cases}}} 416: 383: 6245: 6119: 195: 102: 242:
section (below) are approximations for use in small-sample statistics. In general terms, for very large populations following a
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Johnson, Robert; Kuby, Patricia (2007), "Applied Example 2.15, The 85th Percentile Speed Limit: Going With 85% of the Flow",
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There are two ways in which the variant approaches differ. The first is in the linear relationship between the
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A percentile calculated using the nearest-rank method will always be a member of the original ordered list.
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The second way in which the variants differ is in the definition of the function near the margins of the
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to represent its fractional part (the remainder after division by 1). (Note that, though at the endpoint
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ordered values (sorted from least to greatest) is the smallest value in the list such that no more than
6643: 5533: 3967: 1337: 3037: 798: 6699: 6487: 6062: 6011: 5987: 5949: 5867: 5846: 5798: 5677: 5655: 5624: 5410: 5361: 5279: 5252: 5208: 5164: 4926: 4702: 4582: 2568: 930: 171: 3111: 2178: 1470: 6634: 6559: 6482: 6163: 5927: 5920: 5882: 5790: 5770: 5742: 5475: 5341: 5336: 5326: 5318: 5136: 5097: 4987: 4977: 4886: 4665: 4621: 4539: 4464: 4366: 243: 97: 88: 72: 6209: 4257: 1371: 112:, obtained adopting a subdivision into 100 groups. The 25th percentile is also known as the first 6648: 6459: 6313: 6158: 6034: 5931: 5915: 5892: 5669: 5403: 5386: 5346: 5257: 5152: 5114: 5085: 5045: 5005: 4951: 4868: 4554: 4549: 4043: 3973: 247: 227: 2999: 1085: 6554: 6524: 6516: 6336: 6327: 6252: 6183: 6039: 6024: 5999: 5887: 5828: 5694: 5682: 5308: 5225: 5169: 5092: 4936: 4858: 4637: 4511: 4173: 4167: 4148: 3996: 335: 445:
Interpolated and nearest-rank, exclusive and inclusive, percentiles for 10-score distribution
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Interpolated and nearest-rank, exclusive and inclusive, percentiles for 10-score distribution
253: 6579: 6534: 6298: 6285: 6178: 6153: 6087: 6019: 5897: 5505: 5398: 5331: 5244: 5191: 5010: 4881: 4675: 4474: 4441: 4318: 4138: 4130: 4035: 3034:, whereas the "INC" version, the second variant, does not; in fact, any number smaller than 2000: 1531: 937: 218: 3652: 2933: 1691: 1655: 6496: 6240: 6102: 6029: 5704: 5578: 5551: 5528: 5497: 5124: 5119: 5073: 4803: 4454: 3986: 3953: 3401: 2704:{\displaystyle p={\frac {1}{N}}\left(x-{\frac {1}{2}}\right),x\in (1,N)\cap \mathbb {R} .} 2134: 158: 1405: 2458:{\displaystyle p_{i}={\frac {1}{N}}\left(i-{\frac {1}{2}}\right),i\in \cap \mathbb {N} } 6445: 6440: 4903: 4833: 4479: 4143: 4118: 4019: 3798: 2138:
The result of using each of the three variants on the ordered list {15, 20, 35, 40, 50}
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The 85th percentile speed of traffic on a road is often used as a guideline in setting
2035: 1964: 1072:{\displaystyle \{v_{i},i=1,2,\ldots ,N:v_{i+1}\geq v_{i},\forall i=1,2,\ldots ,N-1\},} 153:, depending on the definition) which 50% of the scores in the distribution are found. 6688: 6602: 6569: 6432: 6393: 6204: 6173: 5637: 5591: 5196: 4898: 4725: 4489: 4484: 4023: 2968:, the only one of the three variants with this property; hence the "INC" suffix, for 846: 356: 4755: 6544: 6477: 6454: 6369: 5699: 4995: 4893: 4828: 4770: 4692: 4647: 4323: 4306: 1399: 342: 84: 4134: 4093: 87:, the corresponding percentiles will be expressed in kilograms or pounds. In the 16:
Statistic which divides a data set into 100 parts and analyzes it as a percentage
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and our revised function now has just one degree of freedom, looking like this:
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The 100th percentile is defined to be the largest value in the ordered list.
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is continuous. In the limit, as the sample size approaches infinity, the 100
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the sum of the weights. Then the formulas above are generalized by taking
2552:{\displaystyle \therefore p_{1}={\frac {1}{2N}},p_{N}={\frac {2N-1}{2N}}.} 5102: 4720: 4597: 4592: 4587: 4559: 4293: 3991: 271: 114: 109: 3942:{\displaystyle v=v_{k}+{\frac {P-p_{k}}{p_{k+1}-p_{k}}}(v_{k+1}-v_{k}).} 6607: 6308: 4062: 4047: 1082:
we seek a linear interpolation function that passes through the points
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range. For example, with human heights very few people are above the +3
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All of the following variants have the following in common. Given the
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the 50th percentile (both the mean and median of the distribution), +1
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There is the additional requirement that the midpoint of the range
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is undefined, it does not need to be because it is multiplied by
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percent of the data is strictly less than the value and at least
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One definition of percentile, often given in texts, is that the
231: 210:. Some methods for calculating the percentiles are given below. 6418: 5985: 5732: 5031: 4801: 4418: 4362: 3788:{\displaystyle p_{n}={\frac {S_{n}-Cw_{n}}{S_{N}+(1-2C)w_{n}}}} 2032:
should produce, or be forced to produce, a result in the range
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An alternative to rounding used in many applications is to use
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The percentile values for the ordered list {15, 20, 35, 40, 50}
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between existing scores and are either exclusive or inclusive.
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approximates the CDF. This can be seen as a consequence of the
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which is the extreme value limit of the sampled distribution.
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The inverse relationship is restricted to a narrower region:
1478: 1379: 1172: 431: 3299: 2347: 145:). For example, the 50th percentile (median) is the score 3406:
In addition to the percentile function, there is also a
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and assessing whether such a limit is too high or low.
2078: 71:" definition). Percentiles are expressed in the same 4194:"Rational Speed Limits and the 85th Percentile Speed" 3828: 3801: 3696: 3655: 3568: 3498: 3419: 3328: 3078: 3040: 3002: 2936: 2910: 2826: 2731: 2623: 2571: 2472: 2373: 2151: 2070: 2038: 2003: 1967: 1884: 1723: 1694: 1658: 1570: 1534: 1473: 1434: 1408: 1374: 1340: 1130: 1088: 948: 925:
The linear interpolation between closest ranks method
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Autoregressive conditional heteroskedasticity (ARCH)
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This is related to the 3478:{\displaystyle w_{1},w_{2},w_{3},\dots ,w_{N}} 4374: 4258:"Engineering Statistics Handbook: Percentile" 4117:Schoonjans F, De Bacquer D, Schmid P (2011). 8: 3952:The 50% weighted percentile is known as the 3069:is also excluded and would cause an error.) 1446: 1440: 1347: 1341: 1223: 1217: 1198: 1192: 1157: 1151: 1063: 949: 4292:, This is equivalent to Method 5 discussed 3549:{\displaystyle S_{N}=\sum _{k=1}^{N}w_{k},} 1507:is the continuous version of the subscript 1364:to represent the integral part of positive 566:Interpolated methods (exclusive/inclusive) 455:Nearest-rank methods (exclusive/inclusive) 6428: 6415: 6332: 6138: 6007: 5982: 5753: 5729: 5457: 5240: 5041: 5028: 4811: 4798: 4437: 4428: 4415: 4381: 4367: 4359: 4024:"Sample Quantiles in Statistical Packages" 1642:{\displaystyle x=f(p,N)=(N+c_{1})p+c_{2}.} 4322: 4282:"Matlab Statistics Toolbox – Percentiles" 4231:"Percentiles in Free Statistics Software" 4142: 4014: 4012: 3927: 3908: 3892: 3873: 3861: 3848: 3839: 3827: 3800: 3776: 3745: 3733: 3717: 3710: 3701: 3695: 3665: 3654: 3623: 3617: 3608: 3591: 3582: 3573: 3567: 3537: 3527: 3516: 3503: 3497: 3469: 3450: 3437: 3424: 3418: 3353: 3335: 3327: 3267: 3251: 3221: 3200: 3184: 3139: 3117: 3106: 3077: 3041: 3039: 3001: 2935: 2909: 2862: 2836: 2825: 2783: 2730: 2694: 2693: 2651: 2630: 2622: 2592: 2576: 2570: 2520: 2511: 2489: 2480: 2471: 2451: 2450: 2408: 2387: 2378: 2372: 2324: 2282: 2234: 2221: 2190: 2173: 2150: 2107:{\displaystyle C={\tfrac {1}{2}}(1+\xi )} 2077: 2069: 2037: 2002: 1966: 1883: 1839: 1826: 1794: 1785: 1766: 1753: 1724: 1722: 1693: 1657: 1630: 1611: 1569: 1533: 1481: 1477: 1472: 1439: 1433: 1407: 1382: 1378: 1373: 1339: 1286: 1280: 1216: 1191: 1175: 1171: 1150: 1129: 1096: 1087: 1018: 999: 956: 947: 876: 863: 800: 417:Learn how and when to remove this message 255: 4203:. 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Archived from 4080: 4078: 2133: 782: 564: 453: 397:Relevant discussion may be found on the 217: 4008: 1460:{\displaystyle v_{\lfloor x\rfloor +1}} 214:The normal distribution and percentiles 194:<1) approximates the inverse of the 6345:Kaplan–Meier estimator (product limit) 4252: 4250: 4248: 4119:"Estimation of population percentiles" 2142:(Sources: Matlab "prctile" function,) 2120:Generalized extreme value distribution 83:; for example, if the scores refer to 1951:{\displaystyle x=f(p,N)=(N+1-2C)p+C.} 7: 6655: 6355:Accelerated failure time (AFT) model 4307:"Quartiles in Elementary Statistics" 2984:(The primary variant recommended by 6667: 5950:Analysis of variance (ANOVA, anova) 3485:associated, respectively, with our 6045:Cochran–Mantel–Haenszel statistics 4671:Pearson product-moment correlation 2923:{\displaystyle x\leftrightarrow p} 2306: 2258: 2203: 1234: 1027: 95:, the percentile approximates the 14: 3413:Suppose we have positive weights 1353:{\displaystyle \lfloor x\rfloor } 1121:. This is simply accomplished by 855:is calculated using this formula 6666: 6654: 6642: 6629: 6628: 3966: 3062:{\displaystyle {\frac {1}{N+1}}} 826:{\displaystyle (0<P\leq 100)} 371: 198:(CDF) thus formed, evaluated at 196:cumulative distribution function 103:cumulative distribution function 6304:Least-squares spectral analysis 4311:Journal of Statistics Education 2992:both endpoints of the range of 2930:relationship is one-to-one for 2604:{\displaystyle P_{i}=100p_{i}.} 775:shows the computational steps. 5285:Mean-unbiased minimum-variance 4324:10.1080/10691898.2006.11910589 4022:; Fan, Yanan (November 1996). 3933: 3901: 3769: 3754: 3396:The weighted percentile method 3376: 3364: 3181: 3169: 3100: 3088: 3021: 3009: 2955: 2943: 2914: 2885: 2873: 2806: 2794: 2774: 2762: 2753: 2741: 2687: 2675: 2444: 2432: 2167: 2161: 2101: 2089: 2051: 2039: 2019: 2007: 1980: 1968: 1933: 1912: 1906: 1894: 1743: 1731: 1671: 1659: 1617: 1598: 1592: 1580: 1496:{\displaystyle x{\bmod {1}}=0} 1270: 1264: 1255: 1243: 1228: 1184: 1181: 1165: 1140: 1134: 1108: 1089: 820: 802: 336:"burstable" internet bandwidth 313:the 97.72nd percentile, and +3 125:), the 50th percentile as the 1: 6598:Geographic information system 5814:Simultaneous equations models 751:Interpolated score (exc/inc) 711:Difference: HiScore − LoScore 5781:Coefficient of determination 5392:Uniformly most powerful test 4135:10.1097/EDE.0b013e318225c1de 4087:"Statistical flaws in Excel" 1391:{\displaystyle x{\bmod {1}}} 753:= LoScore + Mod × Difference 749: 729: 709: 689: 669: 649: 629: 609: 589: 569: 538: 518: 498: 478: 458: 293:is the 0.13th percentile, −2 6350:Proportional hazards models 6294:Spectral density estimation 6276:Vector autoregression (VAR) 5710:Maximum posterior estimator 4942:Randomized controlled trial 3489:sorted sample values. Let 67:a given percentage falls (" 6716: 6110:Multivariate distributions 4530:Average absolute deviation 4339:"NumPy 1.12 documentation" 3399: 3027:{\displaystyle p\in (0,1)} 731:Mod: fractional part of OR 309:the 84.13th percentile, +2 230:(σ) to either side of the 156:A related quantity is the 108:Percentiles are a type of 6624: 6427: 6414: 6098:Structural equation model 6006: 5981: 5752: 5728: 5460: 5434:Score/Lagrange multiplier 5040: 5027: 4849:Sample size determination 4810: 4797: 4427: 4414: 4396: 2972:, on the Excel function. 1511:, linearly interpolating 1114:{\displaystyle (v_{i},i)} 611:OR: PC×(N+1) / PC×(N−1)+1 500:OR: ordinal rank = PC × N 301:the 15.87th percentile, 0 297:the 2.28th percentile, −1 238:The methods given in the 208:Glivenko–Cantelli theorem 162:of a score, expressed in 63:" definition) or a score 6593:Environmental statistics 6115:Elliptical distributions 5908:Generalized linear model 5837:Simple linear regression 5607:Hodges–Lehmann estimator 5064:Probability distribution 4973:Stochastic approximation 4535:Coefficient of variation 1515:between adjacent nodes. 933:between adjacent ranks. 691:HiScore: score at HiRank 671:LoScore: score at LoRank 571:PC: percentile specified 460:PC: percentile specified 184:probability distribution 6253:Cross-correlation (XCF) 5861:Non-standard predictors 5295:Lehmann–ScheffĂ© theorem 4968:Adaptive clinical trial 1684:, corresponding to the 779:The nearest-rank method 540:Score at rank (exc/inc) 263:{\displaystyle \sigma } 6649:Mathematics portal 6470:Engineering statistics 6378:Nelson–Aalen estimator 5955:Analysis of covariance 5842:Ordinary least squares 5766:Pearson product-moment 5170:Statistical functional 5081:Empirical distribution 4914:Controlled experiments 4643:Frequency distribution 4421:Descriptive statistics 3943: 3809: 3789: 3677: 3643: 3550: 3532: 3479: 3386: 3310: 3063: 3028: 2962: 2924: 2895: 2813: 2705: 2605: 2553: 2459: 2355: 2139: 2108: 2058: 2026: 2025:{\displaystyle f(p,N)} 1987: 1952: 1866: 1708: 1678: 1643: 1551: 1550:{\displaystyle P=100p} 1497: 1461: 1422: 1392: 1354: 1325: 1115: 1073: 904: 827: 788: 437: 264: 235: 222:Representation of the 57:frequency distribution 6565:Population statistics 6507:System identification 6241:Autocorrelation (ACF) 6169:Exponential smoothing 6083:Discriminant analysis 6078:Canonical correlation 5942:Partition of variance 5804:Regression validation 5648:(Jonckheere–Terpstra) 5547:Likelihood-ratio test 5236:Frequentist inference 5148:Location–scale family 5069:Sampling distribution 5034:Statistical inference 5001:Cross-sectional study 4988:Observational studies 4947:Randomized experiment 4776:Stem-and-leaf display 4578:Central limit theorem 4305:Langford, E. (2006). 4169:Elementary Statistics 4028:American Statistician 3944: 3810: 3790: 3678: 3676:{\displaystyle C=1/2} 3644: 3551: 3512: 3480: 3387: 3311: 3064: 3029: 2963: 2961:{\displaystyle p\in } 2925: 2896: 2814: 2706: 2606: 2554: 2460: 2356: 2137: 2109: 2059: 2027: 1988: 1953: 1867: 1709: 1707:{\displaystyle p=0.5} 1679: 1677:{\displaystyle (1,N)} 1644: 1552: 1498: 1462: 1423: 1393: 1355: 1326: 1116: 1074: 905: 828: 786: 651:HIRank: OR rounded up 435: 384:synthesis of material 265: 221: 172:norm-referenced tests 101:, the inverse of the 75:as the input scores, 6488:Probabilistic design 6073:Principal components 5916:Exponential families 5868:Nonlinear regression 5847:General linear model 5809:Mixed effects models 5799:Errors and residuals 5776:Confounding variable 5678:Bayesian probability 5656:Van der Waerden test 5646:Ordered alternative 5411:Multiple comparisons 5290:Rao–Blackwellization 5253:Estimating equations 5209:Statistical distance 4927:Factorial experiment 4460:Arithmetic-Geometric 4210:on 23 September 2018 3826: 3799: 3694: 3653: 3566: 3496: 3417: 3326: 3076: 3038: 3000: 2934: 2908: 2824: 2729: 2621: 2569: 2470: 2371: 2149: 2118:is the shape of the 2068: 2036: 2001: 1965: 1882: 1721: 1692: 1656: 1568: 1532: 1471: 1432: 1406: 1372: 1338: 1128: 1086: 946: 931:linear interpolation 862: 799: 631:LoRank: OR truncated 254: 131:or second quartile ( 6560:Official statistics 6483:Methods engineering 6164:Seasonal adjustment 5932:Poisson regressions 5852:Bayesian regression 5791:Regression analysis 5771:Partial correlation 5743:Regression analysis 5342:Prediction interval 5337:Likelihood interval 5327:Confidence interval 5319:Interval estimation 5280:Unbiased estimators 5098:Model specification 4978:Up-and-down designs 4666:Partial correlation 4622:Index of dispersion 4540:Interquartile range 3408:weighted percentile 1421:{\displaystyle x=N} 591:N: number of scores 567: 480:N: Number of scores 456: 363:Calculation methods 248:standard deviations 244:normal distribution 240:calculation methods 98:percentile function 73:unit of measurement 6695:Summary statistics 6580:Spatial statistics 6460:Medical statistics 6360:First hitting time 6314:Whittle likelihood 5965:Degrees of freedom 5960:Multivariate ANOVA 5893:Heteroscedasticity 5705:Bayesian estimator 5670:Bayesian inference 5519:Kolmogorov–Smirnov 5404:Randomization test 5374:Testing hypotheses 5347:Tolerance interval 5258:Maximum likelihood 5153:Exponential family 5086:Density estimation 5046:Statistical theory 5006:Natural experiment 4952:Scientific control 4869:Survey methodology 4555:Standard deviation 3997:Summary statistics 3974:Mathematics portal 3939: 3805: 3785: 3673: 3639: 3546: 3475: 3382: 3306: 3298: 3059: 3024: 2958: 2920: 2891: 2809: 2701: 2601: 2549: 2455: 2351: 2346: 2140: 2104: 2087: 2054: 2022: 1983: 1948: 1862: 1857: 1704: 1674: 1639: 1547: 1503:.) As we can see, 1493: 1457: 1418: 1388: 1350: 1321: 1111: 1069: 900: 823: 789: 565: 520:Rank: >OR / ≄OR 454: 438: 394:to the main topic. 388:verifiably mention 382:possibly contains 260: 236: 228:standard deviation 6682: 6681: 6620: 6619: 6616: 6615: 6555:National accounts 6525:Actuarial science 6517:Social statistics 6410: 6409: 6406: 6405: 6402: 6401: 6337:Survival function 6322: 6321: 6184:Granger causality 6025:Contingency table 6000:Survival analysis 5977: 5976: 5973: 5972: 5829:Linear regression 5724: 5723: 5720: 5719: 5695:Credible interval 5664: 5663: 5447: 5446: 5263:Method of moments 5132:Parametric family 5093:Statistical model 5023: 5022: 5019: 5018: 4937:Random assignment 4859:Statistical power 4793: 4792: 4789: 4788: 4638:Contingency table 4608: 4607: 4475:Generalized/power 4229:Wessa, P (2021). 3899: 3808:{\displaystyle C} 3783: 3632: 3597: 3356: 3351: 3283: 3254: 3237: 3216: 3187: 3155: 3120: 3057: 2865: 2860: 2786: 2659: 2638: 2562:Furthermore, let 2544: 2502: 2416: 2395: 2198: 2086: 1810: 1776: 1289: 884: 772: 771: 559: 558: 427: 426: 419: 190:percentile (0< 65:at or below which 55:of scores in its 6707: 6670: 6669: 6658: 6657: 6647: 6646: 6632: 6631: 6535:Crime statistics 6429: 6416: 6333: 6299:Fourier analysis 6286:Frequency domain 6266: 6213: 6179:Structural break 6139: 6088:Cluster analysis 6035:Log-linear model 6008: 5983: 5924: 5898:Homoscedasticity 5754: 5730: 5649: 5641: 5633: 5632:(Kruskal–Wallis) 5617: 5602: 5557:Cross validation 5542: 5524:Anderson–Darling 5471: 5458: 5429:Likelihood-ratio 5421:Parametric tests 5399:Permutation test 5382:1- & 2-tails 5273:Minimum distance 5245:Point estimation 5241: 5192:Optimal decision 5143: 5042: 5029: 5011:Quasi-experiment 4961:Adaptive designs 4812: 4799: 4676:Rank correlation 4438: 4429: 4416: 4383: 4376: 4369: 4360: 4353: 4352: 4350: 4349: 4335: 4329: 4328: 4326: 4302: 4296: 4291: 4289: 4288: 4278: 4272: 4271: 4269: 4268: 4254: 4243: 4242: 4240: 4238: 4226: 4220: 4219: 4217: 4215: 4209: 4198: 4190: 4184: 4182: 4163: 4157: 4156: 4146: 4114: 4108: 4107: 4105: 4104: 4098: 4092:. Archived from 4091: 4082: 4073: 4072: 4070: 4069: 4058: 4052: 4051: 4016: 3976: 3971: 3970: 3948: 3946: 3945: 3940: 3932: 3931: 3919: 3918: 3900: 3898: 3897: 3896: 3884: 3883: 3867: 3866: 3865: 3849: 3844: 3843: 3814: 3812: 3811: 3806: 3794: 3792: 3791: 3786: 3784: 3782: 3781: 3780: 3750: 3749: 3739: 3738: 3737: 3722: 3721: 3711: 3706: 3705: 3682: 3680: 3679: 3674: 3669: 3648: 3646: 3645: 3640: 3638: 3634: 3633: 3628: 3627: 3618: 3613: 3612: 3598: 3596: 3595: 3583: 3578: 3577: 3555: 3553: 3552: 3547: 3542: 3541: 3531: 3526: 3508: 3507: 3484: 3482: 3481: 3476: 3474: 3473: 3455: 3454: 3442: 3441: 3429: 3428: 3391: 3389: 3388: 3383: 3357: 3354: 3352: 3350: 3336: 3315: 3313: 3312: 3307: 3302: 3301: 3295: 3291: 3284: 3282: 3268: 3255: 3252: 3243: 3239: 3238: 3236: 3222: 3217: 3215: 3201: 3188: 3185: 3161: 3157: 3156: 3154: 3140: 3121: 3118: 3068: 3066: 3065: 3060: 3058: 3056: 3042: 3033: 3031: 3030: 3025: 2967: 2965: 2964: 2959: 2929: 2927: 2926: 2921: 2900: 2898: 2897: 2892: 2866: 2863: 2861: 2859: 2848: 2837: 2818: 2816: 2815: 2810: 2787: 2784: 2715:Second variant, 2710: 2708: 2707: 2702: 2697: 2665: 2661: 2660: 2652: 2639: 2631: 2610: 2608: 2607: 2602: 2597: 2596: 2581: 2580: 2558: 2556: 2555: 2550: 2545: 2543: 2535: 2521: 2516: 2515: 2503: 2501: 2490: 2485: 2484: 2464: 2462: 2461: 2456: 2454: 2422: 2418: 2417: 2409: 2396: 2388: 2383: 2382: 2360: 2358: 2357: 2352: 2350: 2349: 2340: 2336: 2329: 2328: 2292: 2288: 2287: 2286: 2244: 2240: 2239: 2238: 2226: 2225: 2199: 2191: 2117: 2113: 2111: 2110: 2105: 2088: 2079: 2063: 2061: 2060: 2057:{\displaystyle } 2055: 2031: 2029: 2028: 2023: 1996: 1992: 1990: 1989: 1986:{\displaystyle } 1984: 1957: 1955: 1954: 1949: 1871: 1869: 1868: 1863: 1858: 1844: 1843: 1831: 1830: 1811: 1806: 1795: 1790: 1789: 1777: 1772: 1771: 1770: 1754: 1713: 1711: 1710: 1705: 1683: 1681: 1680: 1675: 1648: 1646: 1645: 1640: 1635: 1634: 1616: 1615: 1560: 1556: 1554: 1553: 1548: 1524: 1514: 1510: 1506: 1502: 1500: 1499: 1494: 1486: 1485: 1466: 1464: 1463: 1458: 1456: 1455: 1427: 1425: 1424: 1419: 1397: 1395: 1394: 1389: 1387: 1386: 1367: 1359: 1357: 1356: 1351: 1330: 1328: 1327: 1322: 1290: 1287: 1285: 1284: 1227: 1226: 1208: 1207: 1180: 1179: 1161: 1160: 1120: 1118: 1117: 1112: 1101: 1100: 1078: 1076: 1075: 1070: 1023: 1022: 1010: 1009: 961: 960: 938:order statistics 909: 907: 906: 901: 896: 892: 885: 877: 832: 830: 829: 824: 568: 457: 422: 415: 411: 408: 402: 375: 374: 367: 269: 267: 266: 261: 224:three-sigma rule 35:percentile score 33:, also known as 6715: 6714: 6710: 6709: 6708: 6706: 6705: 6704: 6685: 6684: 6683: 6678: 6641: 6612: 6574: 6511: 6497:quality control 6464: 6446:Clinical trials 6423: 6398: 6382: 6370:Hazard function 6364: 6318: 6280: 6264: 6227: 6223:Breusch–Godfrey 6211: 6188: 6128: 6103:Factor analysis 6049: 6030:Graphical model 6002: 5969: 5936: 5922: 5902: 5856: 5823: 5785: 5748: 5747: 5716: 5660: 5647: 5639: 5631: 5615: 5600: 5579:Rank statistics 5573: 5552:Model selection 5540: 5498:Goodness of fit 5492: 5469: 5443: 5415: 5368: 5313: 5302:Median unbiased 5230: 5141: 5074:Order statistic 5036: 5015: 4982: 4956: 4908: 4863: 4806: 4804:Data collection 4785: 4697: 4652: 4626: 4604: 4564: 4516: 4433:Continuous data 4423: 4410: 4392: 4387: 4357: 4356: 4347: 4345: 4337: 4336: 4332: 4304: 4303: 4299: 4286: 4284: 4280: 4279: 4275: 4266: 4264: 4256: 4255: 4246: 4236: 4234: 4228: 4227: 4223: 4213: 4211: 4207: 4196: 4192: 4191: 4187: 4180: 4165: 4164: 4160: 4116: 4115: 4111: 4102: 4100: 4096: 4089: 4084: 4083: 4076: 4067: 4065: 4060: 4059: 4055: 4040:10.2307/2684934 4020:Hyndman, Rob J. 4018: 4017: 4010: 4005: 3987:Percentile rank 3972: 3965: 3962: 3954:weighted median 3923: 3904: 3888: 3869: 3868: 3857: 3850: 3835: 3824: 3823: 3797: 3796: 3772: 3741: 3740: 3729: 3713: 3712: 3697: 3692: 3691: 3651: 3650: 3619: 3604: 3603: 3599: 3587: 3569: 3564: 3563: 3533: 3499: 3494: 3493: 3465: 3446: 3433: 3420: 3415: 3414: 3404: 3402:Weighted median 3398: 3340: 3324: 3323: 3297: 3296: 3272: 3266: 3262: 3245: 3244: 3226: 3205: 3199: 3195: 3163: 3162: 3144: 3132: 3128: 3107: 3074: 3073: 3046: 3036: 3035: 2998: 2997: 2982: 2976:Third variant, 2932: 2931: 2906: 2905: 2849: 2838: 2822: 2821: 2727: 2726: 2721: 2644: 2640: 2619: 2618: 2588: 2572: 2567: 2566: 2536: 2522: 2507: 2494: 2476: 2468: 2467: 2401: 2397: 2374: 2369: 2368: 2345: 2344: 2320: 2319: 2315: 2297: 2296: 2278: 2271: 2267: 2249: 2248: 2230: 2217: 2216: 2212: 2174: 2147: 2146: 2132: 2126:First variant, 2115: 2066: 2065: 2034: 2033: 1999: 1998: 1994: 1963: 1962: 1880: 1879: 1856: 1855: 1845: 1835: 1822: 1813: 1812: 1796: 1781: 1762: 1755: 1746: 1719: 1718: 1690: 1689: 1654: 1653: 1626: 1607: 1566: 1565: 1558: 1530: 1529: 1522: 1512: 1508: 1504: 1469: 1468: 1435: 1430: 1429: 1404: 1403: 1370: 1369: 1365: 1336: 1335: 1276: 1212: 1187: 1146: 1126: 1125: 1092: 1084: 1083: 1014: 995: 952: 944: 943: 927: 875: 871: 860: 859: 797: 796: 795:-th percentile 781: 752: 448: 447: 446: 444: 439: 423: 412: 406: 403: 396: 386:which does not 376: 372: 365: 328: 319:68–95–99.7 rule 252: 251: 216: 180: 159:percentile rank 144: 137: 124: 91:of an infinite 17: 12: 11: 5: 6713: 6711: 6703: 6702: 6697: 6687: 6686: 6680: 6679: 6677: 6676: 6664: 6652: 6638: 6625: 6622: 6621: 6618: 6617: 6614: 6613: 6611: 6610: 6605: 6600: 6595: 6590: 6584: 6582: 6576: 6575: 6573: 6572: 6567: 6562: 6557: 6552: 6547: 6542: 6537: 6532: 6527: 6521: 6519: 6513: 6512: 6510: 6509: 6504: 6499: 6490: 6485: 6480: 6474: 6472: 6466: 6465: 6463: 6462: 6457: 6452: 6443: 6441:Bioinformatics 6437: 6435: 6425: 6424: 6419: 6412: 6411: 6408: 6407: 6404: 6403: 6400: 6399: 6397: 6396: 6390: 6388: 6384: 6383: 6381: 6380: 6374: 6372: 6366: 6365: 6363: 6362: 6357: 6352: 6347: 6341: 6339: 6330: 6324: 6323: 6320: 6319: 6317: 6316: 6311: 6306: 6301: 6296: 6290: 6288: 6282: 6281: 6279: 6278: 6273: 6268: 6260: 6255: 6250: 6249: 6248: 6246:partial (PACF) 6237: 6235: 6229: 6228: 6226: 6225: 6220: 6215: 6207: 6202: 6196: 6194: 6193:Specific tests 6190: 6189: 6187: 6186: 6181: 6176: 6171: 6166: 6161: 6156: 6151: 6145: 6143: 6136: 6130: 6129: 6127: 6126: 6125: 6124: 6123: 6122: 6107: 6106: 6105: 6095: 6093:Classification 6090: 6085: 6080: 6075: 6070: 6065: 6059: 6057: 6051: 6050: 6048: 6047: 6042: 6040:McNemar's test 6037: 6032: 6027: 6022: 6016: 6014: 6004: 6003: 5986: 5979: 5978: 5975: 5974: 5971: 5970: 5968: 5967: 5962: 5957: 5952: 5946: 5944: 5938: 5937: 5935: 5934: 5918: 5912: 5910: 5904: 5903: 5901: 5900: 5895: 5890: 5885: 5880: 5878:Semiparametric 5875: 5870: 5864: 5862: 5858: 5857: 5855: 5854: 5849: 5844: 5839: 5833: 5831: 5825: 5824: 5822: 5821: 5816: 5811: 5806: 5801: 5795: 5793: 5787: 5786: 5784: 5783: 5778: 5773: 5768: 5762: 5760: 5750: 5749: 5746: 5745: 5740: 5734: 5733: 5726: 5725: 5722: 5721: 5718: 5717: 5715: 5714: 5713: 5712: 5702: 5697: 5692: 5691: 5690: 5685: 5674: 5672: 5666: 5665: 5662: 5661: 5659: 5658: 5653: 5652: 5651: 5643: 5635: 5619: 5616:(Mann–Whitney) 5611: 5610: 5609: 5596: 5595: 5594: 5583: 5581: 5575: 5574: 5572: 5571: 5570: 5569: 5564: 5559: 5549: 5544: 5541:(Shapiro–Wilk) 5536: 5531: 5526: 5521: 5516: 5508: 5502: 5500: 5494: 5493: 5491: 5490: 5482: 5473: 5461: 5455: 5453:Specific tests 5449: 5448: 5445: 5444: 5442: 5441: 5436: 5431: 5425: 5423: 5417: 5416: 5414: 5413: 5408: 5407: 5406: 5396: 5395: 5394: 5384: 5378: 5376: 5370: 5369: 5367: 5366: 5365: 5364: 5359: 5349: 5344: 5339: 5334: 5329: 5323: 5321: 5315: 5314: 5312: 5311: 5306: 5305: 5304: 5299: 5298: 5297: 5292: 5277: 5276: 5275: 5270: 5265: 5260: 5249: 5247: 5238: 5232: 5231: 5229: 5228: 5223: 5218: 5217: 5216: 5206: 5201: 5200: 5199: 5189: 5188: 5187: 5182: 5177: 5167: 5162: 5157: 5156: 5155: 5150: 5145: 5129: 5128: 5127: 5122: 5117: 5107: 5106: 5105: 5100: 5090: 5089: 5088: 5078: 5077: 5076: 5066: 5061: 5056: 5050: 5048: 5038: 5037: 5032: 5025: 5024: 5021: 5020: 5017: 5016: 5014: 5013: 5008: 5003: 4998: 4992: 4990: 4984: 4983: 4981: 4980: 4975: 4970: 4964: 4962: 4958: 4957: 4955: 4954: 4949: 4944: 4939: 4934: 4929: 4924: 4918: 4916: 4910: 4909: 4907: 4906: 4904:Standard error 4901: 4896: 4891: 4890: 4889: 4884: 4873: 4871: 4865: 4864: 4862: 4861: 4856: 4851: 4846: 4841: 4836: 4834:Optimal design 4831: 4826: 4820: 4818: 4808: 4807: 4802: 4795: 4794: 4791: 4790: 4787: 4786: 4784: 4783: 4778: 4773: 4768: 4763: 4758: 4753: 4748: 4743: 4738: 4733: 4728: 4723: 4718: 4713: 4707: 4705: 4699: 4698: 4696: 4695: 4690: 4689: 4688: 4683: 4673: 4668: 4662: 4660: 4654: 4653: 4651: 4650: 4645: 4640: 4634: 4632: 4631:Summary tables 4628: 4627: 4625: 4624: 4618: 4616: 4610: 4609: 4606: 4605: 4603: 4602: 4601: 4600: 4595: 4590: 4580: 4574: 4572: 4566: 4565: 4563: 4562: 4557: 4552: 4547: 4542: 4537: 4532: 4526: 4524: 4518: 4517: 4515: 4514: 4509: 4504: 4503: 4502: 4497: 4492: 4487: 4482: 4477: 4472: 4467: 4465:Contraharmonic 4462: 4457: 4446: 4444: 4435: 4425: 4424: 4419: 4412: 4411: 4409: 4408: 4403: 4397: 4394: 4393: 4388: 4386: 4385: 4378: 4371: 4363: 4355: 4354: 4330: 4297: 4273: 4244: 4221: 4185: 4178: 4158: 4129:(5): 750–751. 4109: 4085:Pottel, Hans. 4074: 4053: 4007: 4006: 4004: 4001: 4000: 3999: 3994: 3989: 3984: 3978: 3977: 3961: 3958: 3950: 3949: 3938: 3935: 3930: 3926: 3922: 3917: 3914: 3911: 3907: 3903: 3895: 3891: 3887: 3882: 3879: 3876: 3872: 3864: 3860: 3856: 3853: 3847: 3842: 3838: 3834: 3831: 3817: 3816: 3804: 3779: 3775: 3771: 3768: 3765: 3762: 3759: 3756: 3753: 3748: 3744: 3736: 3732: 3728: 3725: 3720: 3716: 3709: 3704: 3700: 3685: 3684: 3672: 3668: 3664: 3661: 3658: 3637: 3631: 3626: 3622: 3616: 3611: 3607: 3602: 3594: 3590: 3586: 3581: 3576: 3572: 3557: 3556: 3545: 3540: 3536: 3530: 3525: 3522: 3519: 3515: 3511: 3506: 3502: 3472: 3468: 3464: 3461: 3458: 3453: 3449: 3445: 3440: 3436: 3432: 3427: 3423: 3397: 3394: 3393: 3392: 3381: 3378: 3375: 3372: 3369: 3366: 3363: 3360: 3349: 3346: 3343: 3339: 3334: 3331: 3317: 3316: 3305: 3300: 3294: 3290: 3287: 3281: 3278: 3275: 3271: 3265: 3261: 3258: 3250: 3247: 3246: 3242: 3235: 3232: 3229: 3225: 3220: 3214: 3211: 3208: 3204: 3198: 3194: 3191: 3183: 3180: 3177: 3174: 3171: 3168: 3165: 3164: 3160: 3153: 3150: 3147: 3143: 3138: 3135: 3131: 3127: 3124: 3116: 3113: 3112: 3110: 3105: 3102: 3099: 3096: 3093: 3090: 3087: 3084: 3081: 3055: 3052: 3049: 3045: 3023: 3020: 3017: 3014: 3011: 3008: 3005: 2981: 2974: 2957: 2954: 2951: 2948: 2945: 2942: 2939: 2919: 2916: 2913: 2904:Note that the 2902: 2901: 2890: 2887: 2884: 2881: 2878: 2875: 2872: 2869: 2858: 2855: 2852: 2847: 2844: 2841: 2835: 2832: 2829: 2819: 2808: 2805: 2802: 2799: 2796: 2793: 2790: 2782: 2779: 2776: 2773: 2770: 2767: 2764: 2761: 2758: 2755: 2752: 2749: 2746: 2743: 2740: 2737: 2734: 2720: 2713: 2712: 2711: 2700: 2696: 2692: 2689: 2686: 2683: 2680: 2677: 2674: 2671: 2668: 2664: 2658: 2655: 2650: 2647: 2643: 2637: 2634: 2629: 2626: 2612: 2611: 2600: 2595: 2591: 2587: 2584: 2579: 2575: 2560: 2559: 2548: 2542: 2539: 2534: 2531: 2528: 2525: 2519: 2514: 2510: 2506: 2500: 2497: 2493: 2488: 2483: 2479: 2475: 2465: 2453: 2449: 2446: 2443: 2440: 2437: 2434: 2431: 2428: 2425: 2421: 2415: 2412: 2407: 2404: 2400: 2394: 2391: 2386: 2381: 2377: 2362: 2361: 2348: 2343: 2339: 2335: 2332: 2327: 2323: 2318: 2314: 2311: 2308: 2305: 2302: 2299: 2298: 2295: 2291: 2285: 2281: 2277: 2274: 2270: 2266: 2263: 2260: 2257: 2254: 2251: 2250: 2247: 2243: 2237: 2233: 2229: 2224: 2220: 2215: 2211: 2208: 2205: 2202: 2197: 2194: 2189: 2186: 2183: 2180: 2179: 2177: 2172: 2169: 2166: 2163: 2160: 2157: 2154: 2131: 2124: 2103: 2100: 2097: 2094: 2091: 2085: 2082: 2076: 2073: 2053: 2050: 2047: 2044: 2041: 2021: 2018: 2015: 2012: 2009: 2006: 1982: 1979: 1976: 1973: 1970: 1959: 1958: 1947: 1944: 1941: 1938: 1935: 1932: 1929: 1926: 1923: 1920: 1917: 1914: 1911: 1908: 1905: 1902: 1899: 1896: 1893: 1890: 1887: 1873: 1872: 1861: 1854: 1851: 1848: 1846: 1842: 1838: 1834: 1829: 1825: 1821: 1818: 1815: 1814: 1809: 1805: 1802: 1799: 1793: 1788: 1784: 1780: 1775: 1769: 1765: 1761: 1758: 1752: 1749: 1747: 1745: 1742: 1739: 1736: 1733: 1730: 1727: 1726: 1703: 1700: 1697: 1673: 1670: 1667: 1664: 1661: 1650: 1649: 1638: 1633: 1629: 1625: 1622: 1619: 1614: 1610: 1606: 1603: 1600: 1597: 1594: 1591: 1588: 1585: 1582: 1579: 1576: 1573: 1546: 1543: 1540: 1537: 1492: 1489: 1484: 1480: 1476: 1454: 1451: 1448: 1445: 1442: 1438: 1417: 1414: 1411: 1385: 1381: 1377: 1362:floor function 1349: 1346: 1343: 1332: 1331: 1320: 1317: 1314: 1311: 1308: 1305: 1302: 1299: 1296: 1293: 1283: 1279: 1275: 1272: 1269: 1266: 1263: 1260: 1257: 1254: 1251: 1248: 1245: 1242: 1239: 1236: 1233: 1230: 1225: 1222: 1219: 1215: 1211: 1206: 1203: 1200: 1197: 1194: 1190: 1186: 1183: 1178: 1174: 1170: 1167: 1164: 1159: 1156: 1153: 1149: 1145: 1142: 1139: 1136: 1133: 1110: 1107: 1104: 1099: 1095: 1091: 1080: 1079: 1068: 1065: 1062: 1059: 1056: 1053: 1050: 1047: 1044: 1041: 1038: 1035: 1032: 1029: 1026: 1021: 1017: 1013: 1008: 1005: 1002: 998: 994: 991: 988: 985: 982: 979: 976: 973: 970: 967: 964: 959: 955: 951: 926: 923: 922: 921: 918: 915: 911: 910: 899: 895: 891: 888: 883: 880: 874: 870: 867: 822: 819: 816: 813: 810: 807: 804: 780: 777: 770: 769: 766: 763: 760: 757: 754: 748: 747: 744: 741: 738: 735: 732: 728: 727: 724: 721: 718: 715: 712: 708: 707: 704: 701: 698: 695: 692: 688: 687: 684: 681: 678: 675: 672: 668: 667: 664: 661: 658: 655: 652: 648: 647: 644: 641: 638: 635: 632: 628: 627: 624: 621: 618: 615: 612: 608: 607: 604: 601: 598: 595: 592: 588: 587: 584: 581: 578: 575: 572: 557: 556: 553: 550: 547: 544: 541: 537: 536: 533: 530: 527: 524: 521: 517: 516: 513: 510: 507: 504: 501: 497: 496: 493: 490: 487: 484: 481: 477: 476: 473: 470: 467: 464: 461: 441: 440: 430: 429: 428: 425: 424: 379: 377: 370: 364: 361: 327: 324: 286:height level. 259: 215: 212: 179: 176: 152: 148: 142: 135: 122: 78: 66: 47: 15: 13: 10: 9: 6: 4: 3: 2: 6712: 6701: 6698: 6696: 6693: 6692: 6690: 6675: 6674: 6665: 6663: 6662: 6653: 6651: 6650: 6645: 6639: 6637: 6636: 6627: 6626: 6623: 6609: 6606: 6604: 6603:Geostatistics 6601: 6599: 6596: 6594: 6591: 6589: 6586: 6585: 6583: 6581: 6577: 6571: 6570:Psychometrics 6568: 6566: 6563: 6561: 6558: 6556: 6553: 6551: 6548: 6546: 6543: 6541: 6538: 6536: 6533: 6531: 6528: 6526: 6523: 6522: 6520: 6518: 6514: 6508: 6505: 6503: 6500: 6498: 6494: 6491: 6489: 6486: 6484: 6481: 6479: 6476: 6475: 6473: 6471: 6467: 6461: 6458: 6456: 6453: 6451: 6447: 6444: 6442: 6439: 6438: 6436: 6434: 6433:Biostatistics 6430: 6426: 6422: 6417: 6413: 6395: 6394:Log-rank test 6392: 6391: 6389: 6385: 6379: 6376: 6375: 6373: 6371: 6367: 6361: 6358: 6356: 6353: 6351: 6348: 6346: 6343: 6342: 6340: 6338: 6334: 6331: 6329: 6325: 6315: 6312: 6310: 6307: 6305: 6302: 6300: 6297: 6295: 6292: 6291: 6289: 6287: 6283: 6277: 6274: 6272: 6269: 6267: 6265:(Box–Jenkins) 6261: 6259: 6256: 6254: 6251: 6247: 6244: 6243: 6242: 6239: 6238: 6236: 6234: 6230: 6224: 6221: 6219: 6218:Durbin–Watson 6216: 6214: 6208: 6206: 6203: 6201: 6200:Dickey–Fuller 6198: 6197: 6195: 6191: 6185: 6182: 6180: 6177: 6175: 6174:Cointegration 6172: 6170: 6167: 6165: 6162: 6160: 6157: 6155: 6152: 6150: 6149:Decomposition 6147: 6146: 6144: 6140: 6137: 6135: 6131: 6121: 6118: 6117: 6116: 6113: 6112: 6111: 6108: 6104: 6101: 6100: 6099: 6096: 6094: 6091: 6089: 6086: 6084: 6081: 6079: 6076: 6074: 6071: 6069: 6066: 6064: 6061: 6060: 6058: 6056: 6052: 6046: 6043: 6041: 6038: 6036: 6033: 6031: 6028: 6026: 6023: 6021: 6020:Cohen's kappa 6018: 6017: 6015: 6013: 6009: 6005: 6001: 5997: 5993: 5989: 5984: 5980: 5966: 5963: 5961: 5958: 5956: 5953: 5951: 5948: 5947: 5945: 5943: 5939: 5933: 5929: 5925: 5919: 5917: 5914: 5913: 5911: 5909: 5905: 5899: 5896: 5894: 5891: 5889: 5886: 5884: 5881: 5879: 5876: 5874: 5873:Nonparametric 5871: 5869: 5866: 5865: 5863: 5859: 5853: 5850: 5848: 5845: 5843: 5840: 5838: 5835: 5834: 5832: 5830: 5826: 5820: 5817: 5815: 5812: 5810: 5807: 5805: 5802: 5800: 5797: 5796: 5794: 5792: 5788: 5782: 5779: 5777: 5774: 5772: 5769: 5767: 5764: 5763: 5761: 5759: 5755: 5751: 5744: 5741: 5739: 5736: 5735: 5731: 5727: 5711: 5708: 5707: 5706: 5703: 5701: 5698: 5696: 5693: 5689: 5686: 5684: 5681: 5680: 5679: 5676: 5675: 5673: 5671: 5667: 5657: 5654: 5650: 5644: 5642: 5636: 5634: 5628: 5627: 5626: 5623: 5622:Nonparametric 5620: 5618: 5612: 5608: 5605: 5604: 5603: 5597: 5593: 5592:Sample median 5590: 5589: 5588: 5585: 5584: 5582: 5580: 5576: 5568: 5565: 5563: 5560: 5558: 5555: 5554: 5553: 5550: 5548: 5545: 5543: 5537: 5535: 5532: 5530: 5527: 5525: 5522: 5520: 5517: 5515: 5513: 5509: 5507: 5504: 5503: 5501: 5499: 5495: 5489: 5487: 5483: 5481: 5479: 5474: 5472: 5467: 5463: 5462: 5459: 5456: 5454: 5450: 5440: 5437: 5435: 5432: 5430: 5427: 5426: 5424: 5422: 5418: 5412: 5409: 5405: 5402: 5401: 5400: 5397: 5393: 5390: 5389: 5388: 5385: 5383: 5380: 5379: 5377: 5375: 5371: 5363: 5360: 5358: 5355: 5354: 5353: 5350: 5348: 5345: 5343: 5340: 5338: 5335: 5333: 5330: 5328: 5325: 5324: 5322: 5320: 5316: 5310: 5307: 5303: 5300: 5296: 5293: 5291: 5288: 5287: 5286: 5283: 5282: 5281: 5278: 5274: 5271: 5269: 5266: 5264: 5261: 5259: 5256: 5255: 5254: 5251: 5250: 5248: 5246: 5242: 5239: 5237: 5233: 5227: 5224: 5222: 5219: 5215: 5212: 5211: 5210: 5207: 5205: 5202: 5198: 5197:loss function 5195: 5194: 5193: 5190: 5186: 5183: 5181: 5178: 5176: 5173: 5172: 5171: 5168: 5166: 5163: 5161: 5158: 5154: 5151: 5149: 5146: 5144: 5138: 5135: 5134: 5133: 5130: 5126: 5123: 5121: 5118: 5116: 5113: 5112: 5111: 5108: 5104: 5101: 5099: 5096: 5095: 5094: 5091: 5087: 5084: 5083: 5082: 5079: 5075: 5072: 5071: 5070: 5067: 5065: 5062: 5060: 5057: 5055: 5052: 5051: 5049: 5047: 5043: 5039: 5035: 5030: 5026: 5012: 5009: 5007: 5004: 5002: 4999: 4997: 4994: 4993: 4991: 4989: 4985: 4979: 4976: 4974: 4971: 4969: 4966: 4965: 4963: 4959: 4953: 4950: 4948: 4945: 4943: 4940: 4938: 4935: 4933: 4930: 4928: 4925: 4923: 4920: 4919: 4917: 4915: 4911: 4905: 4902: 4900: 4899:Questionnaire 4897: 4895: 4892: 4888: 4885: 4883: 4880: 4879: 4878: 4875: 4874: 4872: 4870: 4866: 4860: 4857: 4855: 4852: 4850: 4847: 4845: 4842: 4840: 4837: 4835: 4832: 4830: 4827: 4825: 4822: 4821: 4819: 4817: 4813: 4809: 4805: 4800: 4796: 4782: 4779: 4777: 4774: 4772: 4769: 4767: 4764: 4762: 4759: 4757: 4754: 4752: 4749: 4747: 4744: 4742: 4739: 4737: 4734: 4732: 4729: 4727: 4726:Control chart 4724: 4722: 4719: 4717: 4714: 4712: 4709: 4708: 4706: 4704: 4700: 4694: 4691: 4687: 4684: 4682: 4679: 4678: 4677: 4674: 4672: 4669: 4667: 4664: 4663: 4661: 4659: 4655: 4649: 4646: 4644: 4641: 4639: 4636: 4635: 4633: 4629: 4623: 4620: 4619: 4617: 4615: 4611: 4599: 4596: 4594: 4591: 4589: 4586: 4585: 4584: 4581: 4579: 4576: 4575: 4573: 4571: 4567: 4561: 4558: 4556: 4553: 4551: 4548: 4546: 4543: 4541: 4538: 4536: 4533: 4531: 4528: 4527: 4525: 4523: 4519: 4513: 4510: 4508: 4505: 4501: 4498: 4496: 4493: 4491: 4488: 4486: 4483: 4481: 4478: 4476: 4473: 4471: 4468: 4466: 4463: 4461: 4458: 4456: 4453: 4452: 4451: 4448: 4447: 4445: 4443: 4439: 4436: 4434: 4430: 4426: 4422: 4417: 4413: 4407: 4404: 4402: 4399: 4398: 4395: 4391: 4384: 4379: 4377: 4372: 4370: 4365: 4364: 4361: 4344: 4340: 4334: 4331: 4325: 4320: 4316: 4312: 4308: 4301: 4298: 4295: 4283: 4277: 4274: 4263: 4259: 4253: 4251: 4249: 4245: 4232: 4225: 4222: 4206: 4202: 4195: 4189: 4186: 4181: 4179:9781111802493 4175: 4171: 4170: 4162: 4159: 4154: 4150: 4145: 4140: 4136: 4132: 4128: 4124: 4120: 4113: 4110: 4099:on 2013-06-04 4095: 4088: 4081: 4079: 4075: 4064: 4063:"Percentiles" 4061:Lane, David. 4057: 4054: 4049: 4045: 4041: 4037: 4033: 4029: 4025: 4021: 4015: 4013: 4009: 4002: 3998: 3995: 3993: 3990: 3988: 3985: 3983: 3980: 3979: 3975: 3969: 3964: 3959: 3957: 3955: 3936: 3928: 3924: 3920: 3915: 3912: 3909: 3905: 3893: 3889: 3885: 3880: 3877: 3874: 3870: 3862: 3858: 3854: 3851: 3845: 3840: 3836: 3832: 3829: 3822: 3821: 3820: 3802: 3777: 3773: 3766: 3763: 3760: 3757: 3751: 3746: 3742: 3734: 3730: 3726: 3723: 3718: 3714: 3707: 3702: 3698: 3690: 3689: 3688: 3670: 3666: 3662: 3659: 3656: 3635: 3629: 3624: 3620: 3614: 3609: 3605: 3600: 3592: 3588: 3584: 3579: 3574: 3570: 3562: 3561: 3560: 3543: 3538: 3534: 3528: 3523: 3520: 3517: 3513: 3509: 3504: 3500: 3492: 3491: 3490: 3488: 3470: 3466: 3462: 3459: 3456: 3451: 3447: 3443: 3438: 3434: 3430: 3425: 3421: 3411: 3409: 3403: 3395: 3379: 3373: 3370: 3367: 3361: 3358: 3347: 3344: 3341: 3337: 3332: 3329: 3322: 3321: 3320: 3303: 3292: 3288: 3285: 3279: 3276: 3273: 3269: 3263: 3259: 3256: 3248: 3240: 3233: 3230: 3227: 3223: 3218: 3212: 3209: 3206: 3202: 3196: 3192: 3189: 3178: 3175: 3172: 3166: 3158: 3151: 3148: 3145: 3141: 3136: 3133: 3129: 3125: 3122: 3114: 3108: 3103: 3097: 3094: 3091: 3085: 3082: 3079: 3072: 3071: 3070: 3053: 3050: 3047: 3043: 3018: 3015: 3012: 3006: 3003: 2995: 2991: 2987: 2979: 2975: 2973: 2971: 2952: 2949: 2946: 2940: 2937: 2917: 2911: 2888: 2882: 2879: 2876: 2870: 2867: 2856: 2853: 2850: 2845: 2842: 2839: 2833: 2830: 2827: 2820: 2803: 2800: 2797: 2791: 2788: 2780: 2777: 2771: 2768: 2765: 2759: 2756: 2750: 2747: 2744: 2738: 2735: 2732: 2725: 2724: 2723: 2718: 2714: 2698: 2690: 2684: 2681: 2678: 2672: 2669: 2666: 2662: 2656: 2653: 2648: 2645: 2641: 2635: 2632: 2627: 2624: 2617: 2616: 2615: 2598: 2593: 2589: 2585: 2582: 2577: 2573: 2565: 2564: 2563: 2546: 2540: 2537: 2532: 2529: 2526: 2523: 2517: 2512: 2508: 2504: 2498: 2495: 2491: 2486: 2481: 2477: 2473: 2466: 2447: 2441: 2438: 2435: 2429: 2426: 2423: 2419: 2413: 2410: 2405: 2402: 2398: 2392: 2389: 2384: 2379: 2375: 2367: 2366: 2365: 2341: 2337: 2333: 2330: 2325: 2321: 2316: 2312: 2309: 2303: 2300: 2293: 2289: 2283: 2279: 2275: 2272: 2268: 2264: 2261: 2255: 2252: 2245: 2241: 2235: 2231: 2227: 2222: 2218: 2213: 2209: 2206: 2200: 2195: 2192: 2187: 2184: 2181: 2175: 2170: 2164: 2158: 2155: 2152: 2145: 2144: 2143: 2136: 2129: 2125: 2123: 2121: 2098: 2095: 2092: 2083: 2080: 2074: 2071: 2048: 2045: 2042: 2016: 2013: 2010: 2004: 1977: 1974: 1971: 1945: 1942: 1939: 1936: 1930: 1927: 1924: 1921: 1918: 1915: 1909: 1903: 1900: 1897: 1891: 1888: 1885: 1878: 1877: 1876: 1859: 1852: 1849: 1847: 1840: 1836: 1832: 1827: 1823: 1819: 1816: 1807: 1803: 1800: 1797: 1791: 1786: 1782: 1778: 1773: 1767: 1763: 1759: 1756: 1750: 1748: 1740: 1737: 1734: 1728: 1717: 1716: 1715: 1701: 1698: 1695: 1687: 1668: 1665: 1662: 1636: 1631: 1627: 1623: 1620: 1612: 1608: 1604: 1601: 1595: 1589: 1586: 1583: 1577: 1574: 1571: 1564: 1563: 1562: 1544: 1541: 1538: 1535: 1528: 1521: 1516: 1490: 1487: 1482: 1474: 1452: 1449: 1443: 1436: 1415: 1412: 1409: 1401: 1383: 1375: 1363: 1344: 1318: 1315: 1312: 1309: 1306: 1303: 1300: 1297: 1294: 1291: 1281: 1277: 1273: 1267: 1261: 1258: 1252: 1249: 1246: 1240: 1237: 1231: 1220: 1213: 1209: 1204: 1201: 1195: 1188: 1176: 1168: 1162: 1154: 1147: 1143: 1137: 1131: 1124: 1123: 1122: 1105: 1102: 1097: 1093: 1066: 1060: 1057: 1054: 1051: 1048: 1045: 1042: 1039: 1036: 1033: 1030: 1024: 1019: 1015: 1011: 1006: 1003: 1000: 996: 992: 989: 986: 983: 980: 977: 974: 971: 968: 965: 962: 957: 953: 942: 941: 940: 939: 934: 932: 924: 919: 916: 913: 912: 897: 893: 889: 886: 881: 878: 872: 868: 865: 858: 857: 856: 854: 851: 848: 844: 840: 836: 833:of a list of 817: 814: 811: 808: 805: 794: 785: 778: 776: 767: 764: 761: 758: 755: 750: 745: 742: 739: 736: 733: 730: 725: 722: 719: 716: 713: 710: 705: 702: 699: 696: 693: 690: 685: 682: 679: 676: 673: 670: 665: 662: 659: 656: 653: 650: 645: 642: 639: 636: 633: 630: 625: 622: 619: 616: 613: 610: 605: 602: 599: 596: 593: 590: 585: 582: 579: 576: 573: 570: 563: 554: 551: 548: 545: 542: 539: 534: 531: 528: 525: 522: 519: 514: 511: 508: 505: 502: 499: 494: 491: 488: 485: 482: 479: 474: 471: 468: 465: 462: 459: 452: 443: 434: 421: 418: 410: 407:February 2023 400: 395: 393: 389: 385: 380:This section 378: 369: 368: 362: 360: 358: 357:value at risk 353: 351: 346: 344: 343:growth charts 339: 337: 333: 325: 323: 320: 316: 312: 308: 304: 300: 296: 292: 287: 285: 281: 277: 273: 257: 249: 245: 241: 233: 229: 225: 220: 213: 211: 209: 205: 201: 197: 193: 189: 185: 177: 175: 173: 169: 165: 161: 160: 154: 150: 146: 141: 134: 130: 129: 121: 117: 116: 111: 106: 104: 100: 99: 94: 90: 86: 82: 76: 74: 70: 64: 62: 58: 54: 51: 45: 44: 40: 36: 32: 29: 27: 22: 6671: 6659: 6640: 6633: 6545:Econometrics 6495: / 6478:Chemometrics 6455:Epidemiology 6448: / 6421:Applications 6263:ARIMA model 6210:Q-statistic 6159:Stationarity 6055:Multivariate 5998: / 5994: / 5992:Multivariate 5990: / 5930: / 5926: / 5700:Bayes factor 5599:Signed rank 5511: 5485: 5477: 5465: 5160:Completeness 4996:Cohort study 4894:Opinion poll 4829:Missing data 4816:Study design 4771:Scatter plot 4693:Scatter plot 4686:Spearman's ρ 4648:Grouped data 4544: 4346:. Retrieved 4333: 4314: 4310: 4300: 4285:. Retrieved 4276: 4265:. Retrieved 4235:. Retrieved 4224: 4212:. Retrieved 4205:the original 4200: 4188: 4168: 4161: 4126: 4123:Epidemiology 4122: 4112: 4101:. Retrieved 4094:the original 4066:. Retrieved 4056: 4031: 4027: 3951: 3818: 3795:for general 3686: 3558: 3486: 3412: 3407: 3405: 3318: 2993: 2989: 2983: 2977: 2969: 2903: 2722: 2716: 2613: 2561: 2363: 2141: 2127: 1960: 1874: 1651: 1527:percent rank 1526: 1519: 1517: 1400:mod function 1333: 1081: 935: 928: 852: 842: 838: 834: 792: 790: 773: 560: 449: 413: 404: 381: 355:In finance, 354: 350:speed limits 347: 340: 329: 326:Applications 314: 310: 306: 302: 298: 294: 290: 288: 283: 279: 275: 250:, or sigma ( 239: 237: 203: 199: 191: 187: 181: 157: 155: 139: 132: 126: 119: 113: 107: 96: 85:human weight 68: 60: 52: 38: 34: 30: 25: 24: 18: 6700:Percentages 6673:WikiProject 6588:Cartography 6550:Jurimetrics 6502:Reliability 6233:Time domain 6212:(Ljung–Box) 6134:Time-series 6012:Categorical 5996:Time-series 5988:Categorical 5923:(Bernoulli) 5758:Correlation 5738:Correlation 5534:Jarque–Bera 5506:Chi-squared 5268:M-estimator 5221:Asymptotics 5165:Sufficiency 4932:Interaction 4844:Replication 4824:Effect size 4781:Violin plot 4761:Radar chart 4741:Forest plot 4731:Correlogram 4681:Kendall's τ 4237:13 November 1688:, occur at 1288:, for  178:Definitions 168:test scores 151:at or below 93:sample size 46:below which 6689:Categories 6540:Demography 6258:ARMA model 6063:Regression 5640:(Friedman) 5601:(Wilcoxon) 5539:Normality 5529:Lilliefors 5476:Student's 5352:Resampling 5226:Robustness 5214:divergence 5204:Efficiency 5142:(monotone) 5137:Likelihood 5054:Population 4887:Stratified 4839:Population 4658:Dependence 4614:Count data 4545:Percentile 4522:Dispersion 4455:Arithmetic 4390:Statistics 4348:2017-03-19 4287:2006-09-15 4267:2009-02-18 4214:28 October 4103:2013-03-25 4068:2007-09-15 4003:References 3400:See also: 1368:, whereas 50:percentage 31:percentile 21:statistics 5921:Logistic 5688:posterior 5614:Rank sum 5362:Jackknife 5357:Bootstrap 5175:Bootstrap 5110:Parameter 5059:Statistic 4854:Statistic 4766:Run chart 4751:Pie chart 4746:Histogram 4736:Fan chart 4711:Bar chart 4593:L-moments 4480:Geometric 3921:− 3886:− 3855:− 3761:− 3724:− 3615:− 3514:∑ 3460:… 3362:∈ 3260:∈ 3193:∈ 3126:∈ 3007:∈ 2970:inclusive 2941:∈ 2915:↔ 2871:∈ 2854:− 2843:− 2828:∴ 2792:∈ 2769:− 2691:∩ 2673:∈ 2649:− 2530:− 2474:∴ 2448:∩ 2430:∈ 2406:− 2313:∈ 2307:∀ 2265:∈ 2259:∀ 2210:∈ 2204:∀ 2099:ξ 1993:range of 1925:− 1817:∴ 1447:⌋ 1441:⌊ 1398:uses the 1360:uses the 1348:⌋ 1342:⌊ 1310:… 1241:∈ 1235:∀ 1224:⌋ 1218:⌊ 1210:− 1199:⌋ 1193:⌊ 1158:⌋ 1152:⌊ 1058:− 1049:… 1028:∀ 1012:≥ 984:… 887:× 815:≤ 743:0.25/0.75 737:0.75/0.25 623:8.25/7.75 617:2.75/3.25 399:talk page 258:σ 110:quantiles 69:inclusive 61:exclusive 6635:Category 6328:Survival 6205:Johansen 5928:Binomial 5883:Isotonic 5470:(normal) 5115:location 4922:Blocking 4877:Sampling 4756:Q–Q plot 4721:Box plot 4703:Graphics 4598:Skewness 4588:Kurtosis 4560:Variance 4490:Heronian 4485:Harmonic 4153:21811118 3992:Quantile 3960:See also 2996:, i.e., 2990:excludes 894:⌉ 873:⌈ 768:6.8/5.2 746:0.9/0.1 626:9.9/9.1 272:infinity 115:quartile 59:falls (" 48:a given 6661:Commons 6608:Kriging 6493:Process 6450:studies 6309:Wavelet 6142:General 5309:Plug-in 5103:L space 4882:Cluster 4583:Moments 4401:Outline 4201:lsp.org 4144:3171208 4048:2684934 3355:,  3253:,  3186:,  3119:,  2864:,  2785:,  847:ordinal 762:3.5/3.5 756:1.1/1.9 740:0.5/0.5 734:0.1/0.9 620:5.5/5.5 614:1.1/1.9 164:percent 81:percent 41:, is a 39:centile 6530:Census 6120:Normal 6068:Manova 5888:Robust 5638:2-way 5630:1-way 5468:-test 5139:  4716:Biplot 4507:Median 4500:Lehmer 4442:Center 4176:  4151:  4141:  4046:  3982:Decile 2364:where 2116:ξ 2114:where 1686:median 1525:, the 1334:where 765:5/4.75 759:2.75/3 666:10/10 392:relate 128:median 6154:Trend 5683:prior 5625:anova 5514:-test 5488:-test 5480:-test 5387:Power 5332:Pivot 5125:shape 5120:scale 4570:Shape 4550:Range 4495:Heinz 4470:Cubic 4406:Index 4343:SciPy 4317:(3). 4208:(PDF) 4197:(PDF) 4097:(PDF) 4090:(PDF) 4044:JSTOR 3649:when 2130:= 1/2 586:0.90 535:10/9 475:0.90 334:bill 330:When 278:to +3 202:, as 170:from 147:below 89:limit 43:score 6387:Test 5587:Sign 5439:Wald 4512:Mode 4450:Mean 4294:here 4262:NIST 4239:2021 4216:2018 4174:ISBN 4149:PMID 3819:and 2986:NIST 1520:rank 850:rank 809:< 726:2/2 706:7/7 686:5/5 646:9/9 583:0.75 580:0.50 577:0.25 574:0.10 555:7/5 472:0.75 469:0.50 466:0.25 463:0.10 332:ISPs 232:mean 149:(or 23:, a 5567:BIC 5562:AIC 4319:doi 4139:PMC 4131:doi 4036:doi 3687:or 2980:= 0 2719:= 1 2586:100 1735:0.5 1702:0.5 1542:100 1479:mod 1380:mod 1173:mod 882:100 818:100 723:0/1 720:1/1 717:1/0 714:1/1 703:5/5 700:4/4 697:3/3 694:2/2 683:5/4 680:3/3 677:2/3 674:1/1 663:9/8 660:6/6 657:3/4 654:2/2 643:8/7 640:5/5 637:2/3 634:1/1 606:10 552:5/5 549:4/3 546:3/3 543:2/1 532:8/8 529:6/5 526:3/3 523:2/1 512:7.5 506:2.5 495:10 390:or 79:in 77:not 37:or 28:-th 19:In 6691:: 4341:. 4315:14 4313:. 4309:. 4260:. 4247:^ 4199:. 4147:. 4137:. 4127:22 4125:. 4121:. 4077:^ 4042:. 4032:50 4030:. 4026:. 4011:^ 3956:. 1997:: 1714:: 1561:: 1428:, 603:10 600:10 597:10 594:10 515:9 492:10 489:10 486:10 483:10 345:. 105:. 5512:G 5486:F 5478:t 5466:Z 5185:V 5180:U 4382:e 4375:t 4368:v 4351:. 4327:. 4321:: 4290:. 4270:. 4241:. 4218:. 4183:. 4155:. 4133:: 4106:. 4071:. 4050:. 4038:: 3937:. 3934:) 3929:k 3925:v 3916:1 3913:+ 3910:k 3906:v 3902:( 3894:k 3890:p 3881:1 3878:+ 3875:k 3871:p 3863:k 3859:p 3852:P 3846:+ 3841:k 3837:v 3833:= 3830:v 3815:, 3803:C 3778:n 3774:w 3770:) 3767:C 3764:2 3758:1 3755:( 3752:+ 3747:N 3743:S 3735:n 3731:w 3727:C 3719:n 3715:S 3708:= 3703:n 3699:p 3683:, 3671:2 3667:/ 3663:1 3660:= 3657:C 3636:) 3630:2 3625:n 3621:w 3610:n 3606:S 3601:( 3593:N 3589:S 3585:1 3580:= 3575:n 3571:p 3544:, 3539:k 3535:w 3529:N 3524:1 3521:= 3518:k 3510:= 3505:N 3501:S 3487:N 3471:N 3467:w 3463:, 3457:, 3452:3 3448:w 3444:, 3439:2 3435:w 3431:, 3426:1 3422:w 3380:. 3377:) 3374:N 3371:, 3368:0 3365:( 3359:x 3348:1 3345:+ 3342:N 3338:x 3333:= 3330:p 3304:. 3293:] 3289:1 3286:, 3280:1 3277:+ 3274:N 3270:N 3264:[ 3257:p 3249:N 3241:) 3234:1 3231:+ 3228:N 3224:N 3219:, 3213:1 3210:+ 3207:N 3203:1 3197:( 3190:p 3182:) 3179:1 3176:+ 3173:N 3170:( 3167:p 3159:] 3152:1 3149:+ 3146:N 3142:1 3137:, 3134:0 3130:[ 3123:p 3115:1 3109:{ 3104:= 3101:) 3098:N 3095:, 3092:p 3089:( 3086:f 3083:= 3080:x 3054:1 3051:+ 3048:N 3044:1 3022:) 3019:1 3016:, 3013:0 3010:( 3004:p 2994:p 2978:C 2956:] 2953:1 2950:, 2947:0 2944:[ 2938:p 2918:p 2912:x 2889:. 2886:] 2883:N 2880:, 2877:1 2874:[ 2868:x 2857:1 2851:N 2846:1 2840:x 2834:= 2831:p 2807:] 2804:1 2801:, 2798:0 2795:[ 2789:p 2781:1 2778:+ 2775:) 2772:1 2766:N 2763:( 2760:p 2757:= 2754:) 2751:N 2748:, 2745:p 2742:( 2739:f 2736:= 2733:x 2717:C 2699:. 2695:R 2688:) 2685:N 2682:, 2679:1 2676:( 2670:x 2667:, 2663:) 2657:2 2654:1 2646:x 2642:( 2636:N 2633:1 2628:= 2625:p 2599:. 2594:i 2590:p 2583:= 2578:i 2574:P 2547:. 2541:N 2538:2 2533:1 2527:N 2524:2 2518:= 2513:N 2509:p 2505:, 2499:N 2496:2 2492:1 2487:= 2482:1 2478:p 2452:N 2445:] 2442:N 2439:, 2436:1 2433:[ 2427:i 2424:, 2420:) 2414:2 2411:1 2403:i 2399:( 2393:N 2390:1 2385:= 2380:i 2376:p 2342:. 2338:] 2334:1 2331:, 2326:N 2322:p 2317:[ 2310:p 2304:, 2301:N 2294:, 2290:] 2284:1 2280:p 2276:, 2273:0 2269:[ 2262:p 2256:, 2253:1 2246:, 2242:] 2236:N 2232:p 2228:, 2223:1 2219:p 2214:[ 2207:p 2201:, 2196:2 2193:1 2188:+ 2185:p 2182:N 2176:{ 2171:= 2168:) 2165:p 2162:( 2159:f 2156:= 2153:x 2128:C 2102:) 2096:+ 2093:1 2090:( 2084:2 2081:1 2075:= 2072:C 2052:] 2049:N 2046:, 2043:1 2040:[ 2020:) 2017:N 2014:, 2011:p 2008:( 2005:f 1995:p 1981:] 1978:1 1975:, 1972:0 1969:[ 1946:. 1943:C 1940:+ 1937:p 1934:) 1931:C 1928:2 1922:1 1919:+ 1916:N 1913:( 1910:= 1907:) 1904:N 1901:, 1898:p 1895:( 1892:f 1889:= 1886:x 1860:, 1853:1 1850:= 1841:1 1837:c 1833:+ 1828:2 1824:c 1820:2 1808:2 1804:1 1801:+ 1798:N 1792:= 1787:2 1783:c 1779:+ 1774:2 1768:1 1764:c 1760:+ 1757:N 1751:= 1744:) 1741:N 1738:, 1732:( 1729:f 1699:= 1696:p 1672:) 1669:N 1666:, 1663:1 1660:( 1637:. 1632:2 1628:c 1624:+ 1621:p 1618:) 1613:1 1609:c 1605:+ 1602:N 1599:( 1596:= 1593:) 1590:N 1587:, 1584:p 1581:( 1578:f 1575:= 1572:x 1559:N 1545:p 1539:= 1536:P 1523:x 1513:v 1509:i 1505:x 1491:0 1488:= 1483:1 1475:x 1453:1 1450:+ 1444:x 1437:v 1416:N 1413:= 1410:x 1384:1 1376:x 1366:x 1345:x 1319:, 1316:N 1313:, 1307:, 1304:2 1301:, 1298:1 1295:= 1292:i 1282:i 1278:v 1274:= 1271:) 1268:i 1265:( 1262:v 1259:: 1256:] 1253:N 1250:, 1247:1 1244:[ 1238:x 1232:, 1229:) 1221:x 1214:v 1205:1 1202:+ 1196:x 1189:v 1185:( 1182:) 1177:1 1169:x 1166:( 1163:+ 1155:x 1148:v 1144:= 1141:) 1138:x 1135:( 1132:v 1109:) 1106:i 1103:, 1098:i 1094:v 1090:( 1067:, 1064:} 1061:1 1055:N 1052:, 1046:, 1043:2 1040:, 1037:1 1034:= 1031:i 1025:, 1020:i 1016:v 1007:1 1004:+ 1001:i 997:v 993:: 990:N 987:, 981:, 978:2 975:, 972:1 969:= 966:i 963:, 958:i 954:v 950:{ 898:. 890:N 879:P 869:= 866:n 853:n 843:P 839:P 835:N 821:) 812:P 806:0 803:( 793:P 509:5 503:1 420:) 414:( 409:) 405:( 401:. 315:σ 311:σ 307:σ 303:σ 299:σ 295:σ 291:σ 284:σ 280:σ 276:σ 204:p 200:p 192:p 188:p 143:3 140:Q 136:2 133:Q 123:1 120:Q 118:( 53:k 26:k

Index

statistics
score
percentage
frequency distribution
unit of measurement
percent
human weight
limit
sample size
percentile function
cumulative distribution function
quantiles
quartile
median
percentile rank
percent
test scores
norm-referenced tests
probability distribution
cumulative distribution function
Glivenko–Cantelli theorem

three-sigma rule
standard deviation
mean
normal distribution
standard deviations
infinity
68–95–99.7 rule
ISPs

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