Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_percentiles.wasp
Title produced by softwarePercentiles
Date of computationSat, 01 Dec 2012 06:17:59 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/01/t1354360690imehytv6vi58ft6.htm/, Retrieved Sun, 28 Apr 2024 19:38:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195237, Retrieved Sun, 28 Apr 2024 19:38:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Percentiles] [Intrinsic Motivat...] [2010-10-12 12:10:58] [b98453cac15ba1066b407e146608df68]
- R  D    [Percentiles] [normal QQ plot] [2012-12-01 11:17:59] [18a55f974a2e8651a7d8da0218fcbdb6] [Current]
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Dataseries X:
867.887509505211
-2250.28069676838
33618.3570412959
9954.34468238836
354.191730842355
18882.406400463
20229.4310915672
268402.416151187
-113346.926055862
-45016.394227939
35069.861367254
58531.0957290091
-77256.3771198791
-31473.594568955
-52391.0075132882
32854.9847569661
101107.732845397
-176275.960398033
79531.884415102
-176414.251561376
151290.579462589
167731.594163443
143237.122434691
80251.9665265577
118735.726273623
75035.8259037494
19198.3085437346
-36364.5639276314
-36170.5787440905
-109567.395064155
-100783.336097857
-149267.403931369
38947.3510583149
58613.0600994635
16074.4602044407
-41563.0049150659
-15970.5964777959
-47563.9548420802
59595.3577179922
65897.8405390448
-166489.283203891
46312.3269884632
-15952.8722863516
-87780.6523566012
134744.172737777
75232.8122408289
24408.7558471514
-15406.1403381955
-3766.75348767364
27197.2239951006
-46777.2890031503
-82472.8212609495
-35154.7184801844
-46946.870011609
-43641.5364941684
-54920.7084991732
54905.4038222157
-10509.5840707596
-13706.8046976985
-42347.6087628011
-28990.4687708701




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195237&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195237&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195237&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.02-176383.827505-176381.061682-176275.960398-176275.960398-174318.624959-176414.251561-176309.150277-176414.251561
0.04-171969.822433-171578.355345-166489.283204-166489.283204-159600.531495-176275.960398-171186.888257-176275.960398
0.06-155122.842884-154089.530128-149267.403931-149267.403931-127715.117206-149267.403931-161667.157008-149267.403931
0.08-117657.383401-114783.745171-113346.926056-113346.926056-110323.301262-113346.926056-147830.584816-113346.926056
0.1-108688.989168-107810.583271-100783.336098-100783.336098-100783.336098-109567.395064-102540.147891-109567.395064
0.12-96622.477301-95062.155252-87780.652357-87780.652357-86719.086137-100783.336098-93501.833203-100783.336098
0.14-84914.423565-84171.327212-82472.821261-82472.821261-80386.243605-82472.821261-86082.146406-82472.821261
0.16-78508.323714-77673.692651-77256.37712-77256.37712-63854.975947-77256.37712-82055.50573-77256.37712
0.18-55367.421872-54515.956341-54920.708499-54920.708499-52896.94771-54920.708499-52795.759671-54920.708499
0.2-51425.596979-50460.186445-47563.954842-47563.954842-47563.954842-52391.007513-49494.775911-52391.007513
0.22-47304.779213-47169.020551-46946.870012-46946.870012-46912.95381-47563.954842-47341.804303-46946.870012
0.24-46838.338166-46797.638724-46777.289003-46777.289003-46072.931093-46777.289003-46926.520291-46777.289003
0.26-45262.919496-44851.4113-45016.394228-45016.394228-44191.479588-45016.394228-43806.519422-45016.394228
0.28-43538.022276-43175.722511-42347.608763-42347.608763-42606.394309-43641.536494-42813.422746-43641.536494
0.3-42112.227608-41876.846454-41563.004915-41563.004915-41563.004915-42347.608763-42033.767224-41563.004915
0.32-38859.815602-37196.314486-36364.563928-36364.563928-36325.766891-36364.563928-40731.254357-36364.563928
0.34-36221.014892-36089.309923-36170.578744-36170.578744-35764.234639-36170.578744-35235.987301-36170.578744
0.36-35195.352891-33976.758829-35154.71848-35154.71848-32946.044133-35154.71848-32651.554221-35154.71848
0.38-31026.631925-30083.044122-28990.468771-28990.468771-29487.09393-31473.594569-30381.019218-28990.468771
0.4-23782.519854-18574.570936-15970.596478-15970.596478-15970.596478-28990.468771-26386.494312-15970.596478
0.42-15959.607479-15931.003008-15952.872286-15952.872286-15843.525897-15952.872286-15428.009616-15952.872286
0.44-15493.61745-14930.326359-15406.140338-15406.140338-14726.406082-15406.140338-14182.618677-15406.140338
0.46-13514.97146-12044.249972-10509.584071-10509.584071-11788.472322-13706.804698-12172.138797-10509.584071
0.48-8621.591507-5385.032828-3766.753488-3766.753488-5115.319604-10509.584071-8891.304731-3766.753488
0.5-3008.517092-2250.280697-2250.280697-2250.280697-2250.280697-2250.280697-2250.280697-2250.280697
0.52-375.060549477.478718354.191731354.191731456.930887354.191731744.600523354.191731
0.54837.0657635229.386952867.88751867.887514502.470379867.887515592.845239867.88751
0.5610933.56316614360.82785816074.46020416074.46020413626.4139969954.34468211667.97702916074.460204
0.5817141.47975918770.08855318882.406418882.406418320.81716116074.46020416186.77805218882.4064
0.619071.94768619404.53305319198.30854419198.30854419198.30854419198.30854420023.20658219198.308544
0.6220043.82903322068.33398420229.43109220229.43109221065.29604320229.43109222569.85295520229.431092
0.6424520.29457326304.91418827197.22399527197.22399525524.14310624408.75584725301.06565427197.223995
0.6628668.24179332402.36389632854.98475732854.98475730591.88045227197.22399527649.84485632854.984757
0.6833221.40345333850.59773333618.35704133618.35704133465.68258432854.98475734837.62067533618.357041
0.734634.41006936620.85724435069.86136735069.86136735069.86136735069.86136737396.35518235069.861367
0.7238637.15188343660.93565438947.35105838947.35105840420.34624438947.35105841598.74239346312.326988
0.7447515.35774553874.23460254905.40382254905.40382249749.55772246312.32698847343.49620954905.403822
0.7656210.65290958540.93145358531.09572958531.09572957080.81896654905.40382258603.22437558531.095729
0.7858578.63506458966.68724258613.06009958613.06009958596.66722558613.06009959241.73057558613.060099
0.859398.89819463376.84741159595.35771859595.35771859595.35771859595.35771862116.35084665897.840539
0.8266080.60024673573.74824575035.82590475035.82590467725.43761265897.84053967359.91819775035.825904
0.8475083.10262575576.73801575232.81224175232.81224175114.62043975035.82590479187.95864175232.812241
0.8677210.38544179762.31069179531.88441579531.88441577812.25554575232.81224180021.54025179531.884415
0.8880021.54025191931.19566580251.96652780251.96652780107.95010480251.96652789428.503707101107.732845
0.999022.156214115210.127588101107.732845101107.732845101107.732845101107.732845104633.331531118735.726274
0.92120656.739849135083.890726134744.172738134744.172738121937.415566118735.726274142897.404447134744.172738
0.94137631.775635145492.090403143237.122435143237.122435138141.352617134744.172738149035.611495143237.122435
0.96147747.05837159839.907107151290.579463151290.579463148069.196651151290.579463159182.266519167731.594163
0.98164114.570929244241.418874167731.594163167731.594163164443.391223167731.594163191892.591441268402.416151

\begin{tabular}{lllllllll}
\hline
Percentiles - Ungrouped Data \tabularnewline
p & Weighted Average at Xnp & Weighted Average at X(n+1)p & Empirical Distribution Function & Empirical Distribution Function - Averaging & Empirical Distribution Function - Interpolation & Closest Observation & True Basic - Statistics Graphics Toolkit & MS Excel (old versions) \tabularnewline
0.02 & -176383.827505 & -176381.061682 & -176275.960398 & -176275.960398 & -174318.624959 & -176414.251561 & -176309.150277 & -176414.251561 \tabularnewline
0.04 & -171969.822433 & -171578.355345 & -166489.283204 & -166489.283204 & -159600.531495 & -176275.960398 & -171186.888257 & -176275.960398 \tabularnewline
0.06 & -155122.842884 & -154089.530128 & -149267.403931 & -149267.403931 & -127715.117206 & -149267.403931 & -161667.157008 & -149267.403931 \tabularnewline
0.08 & -117657.383401 & -114783.745171 & -113346.926056 & -113346.926056 & -110323.301262 & -113346.926056 & -147830.584816 & -113346.926056 \tabularnewline
0.1 & -108688.989168 & -107810.583271 & -100783.336098 & -100783.336098 & -100783.336098 & -109567.395064 & -102540.147891 & -109567.395064 \tabularnewline
0.12 & -96622.477301 & -95062.155252 & -87780.652357 & -87780.652357 & -86719.086137 & -100783.336098 & -93501.833203 & -100783.336098 \tabularnewline
0.14 & -84914.423565 & -84171.327212 & -82472.821261 & -82472.821261 & -80386.243605 & -82472.821261 & -86082.146406 & -82472.821261 \tabularnewline
0.16 & -78508.323714 & -77673.692651 & -77256.37712 & -77256.37712 & -63854.975947 & -77256.37712 & -82055.50573 & -77256.37712 \tabularnewline
0.18 & -55367.421872 & -54515.956341 & -54920.708499 & -54920.708499 & -52896.94771 & -54920.708499 & -52795.759671 & -54920.708499 \tabularnewline
0.2 & -51425.596979 & -50460.186445 & -47563.954842 & -47563.954842 & -47563.954842 & -52391.007513 & -49494.775911 & -52391.007513 \tabularnewline
0.22 & -47304.779213 & -47169.020551 & -46946.870012 & -46946.870012 & -46912.95381 & -47563.954842 & -47341.804303 & -46946.870012 \tabularnewline
0.24 & -46838.338166 & -46797.638724 & -46777.289003 & -46777.289003 & -46072.931093 & -46777.289003 & -46926.520291 & -46777.289003 \tabularnewline
0.26 & -45262.919496 & -44851.4113 & -45016.394228 & -45016.394228 & -44191.479588 & -45016.394228 & -43806.519422 & -45016.394228 \tabularnewline
0.28 & -43538.022276 & -43175.722511 & -42347.608763 & -42347.608763 & -42606.394309 & -43641.536494 & -42813.422746 & -43641.536494 \tabularnewline
0.3 & -42112.227608 & -41876.846454 & -41563.004915 & -41563.004915 & -41563.004915 & -42347.608763 & -42033.767224 & -41563.004915 \tabularnewline
0.32 & -38859.815602 & -37196.314486 & -36364.563928 & -36364.563928 & -36325.766891 & -36364.563928 & -40731.254357 & -36364.563928 \tabularnewline
0.34 & -36221.014892 & -36089.309923 & -36170.578744 & -36170.578744 & -35764.234639 & -36170.578744 & -35235.987301 & -36170.578744 \tabularnewline
0.36 & -35195.352891 & -33976.758829 & -35154.71848 & -35154.71848 & -32946.044133 & -35154.71848 & -32651.554221 & -35154.71848 \tabularnewline
0.38 & -31026.631925 & -30083.044122 & -28990.468771 & -28990.468771 & -29487.09393 & -31473.594569 & -30381.019218 & -28990.468771 \tabularnewline
0.4 & -23782.519854 & -18574.570936 & -15970.596478 & -15970.596478 & -15970.596478 & -28990.468771 & -26386.494312 & -15970.596478 \tabularnewline
0.42 & -15959.607479 & -15931.003008 & -15952.872286 & -15952.872286 & -15843.525897 & -15952.872286 & -15428.009616 & -15952.872286 \tabularnewline
0.44 & -15493.61745 & -14930.326359 & -15406.140338 & -15406.140338 & -14726.406082 & -15406.140338 & -14182.618677 & -15406.140338 \tabularnewline
0.46 & -13514.97146 & -12044.249972 & -10509.584071 & -10509.584071 & -11788.472322 & -13706.804698 & -12172.138797 & -10509.584071 \tabularnewline
0.48 & -8621.591507 & -5385.032828 & -3766.753488 & -3766.753488 & -5115.319604 & -10509.584071 & -8891.304731 & -3766.753488 \tabularnewline
0.5 & -3008.517092 & -2250.280697 & -2250.280697 & -2250.280697 & -2250.280697 & -2250.280697 & -2250.280697 & -2250.280697 \tabularnewline
0.52 & -375.060549 & 477.478718 & 354.191731 & 354.191731 & 456.930887 & 354.191731 & 744.600523 & 354.191731 \tabularnewline
0.54 & 837.065763 & 5229.386952 & 867.88751 & 867.88751 & 4502.470379 & 867.88751 & 5592.845239 & 867.88751 \tabularnewline
0.56 & 10933.563166 & 14360.827858 & 16074.460204 & 16074.460204 & 13626.413996 & 9954.344682 & 11667.977029 & 16074.460204 \tabularnewline
0.58 & 17141.479759 & 18770.088553 & 18882.4064 & 18882.4064 & 18320.817161 & 16074.460204 & 16186.778052 & 18882.4064 \tabularnewline
0.6 & 19071.947686 & 19404.533053 & 19198.308544 & 19198.308544 & 19198.308544 & 19198.308544 & 20023.206582 & 19198.308544 \tabularnewline
0.62 & 20043.829033 & 22068.333984 & 20229.431092 & 20229.431092 & 21065.296043 & 20229.431092 & 22569.852955 & 20229.431092 \tabularnewline
0.64 & 24520.294573 & 26304.914188 & 27197.223995 & 27197.223995 & 25524.143106 & 24408.755847 & 25301.065654 & 27197.223995 \tabularnewline
0.66 & 28668.241793 & 32402.363896 & 32854.984757 & 32854.984757 & 30591.880452 & 27197.223995 & 27649.844856 & 32854.984757 \tabularnewline
0.68 & 33221.403453 & 33850.597733 & 33618.357041 & 33618.357041 & 33465.682584 & 32854.984757 & 34837.620675 & 33618.357041 \tabularnewline
0.7 & 34634.410069 & 36620.857244 & 35069.861367 & 35069.861367 & 35069.861367 & 35069.861367 & 37396.355182 & 35069.861367 \tabularnewline
0.72 & 38637.151883 & 43660.935654 & 38947.351058 & 38947.351058 & 40420.346244 & 38947.351058 & 41598.742393 & 46312.326988 \tabularnewline
0.74 & 47515.357745 & 53874.234602 & 54905.403822 & 54905.403822 & 49749.557722 & 46312.326988 & 47343.496209 & 54905.403822 \tabularnewline
0.76 & 56210.652909 & 58540.931453 & 58531.095729 & 58531.095729 & 57080.818966 & 54905.403822 & 58603.224375 & 58531.095729 \tabularnewline
0.78 & 58578.635064 & 58966.687242 & 58613.060099 & 58613.060099 & 58596.667225 & 58613.060099 & 59241.730575 & 58613.060099 \tabularnewline
0.8 & 59398.898194 & 63376.847411 & 59595.357718 & 59595.357718 & 59595.357718 & 59595.357718 & 62116.350846 & 65897.840539 \tabularnewline
0.82 & 66080.600246 & 73573.748245 & 75035.825904 & 75035.825904 & 67725.437612 & 65897.840539 & 67359.918197 & 75035.825904 \tabularnewline
0.84 & 75083.102625 & 75576.738015 & 75232.812241 & 75232.812241 & 75114.620439 & 75035.825904 & 79187.958641 & 75232.812241 \tabularnewline
0.86 & 77210.385441 & 79762.310691 & 79531.884415 & 79531.884415 & 77812.255545 & 75232.812241 & 80021.540251 & 79531.884415 \tabularnewline
0.88 & 80021.540251 & 91931.195665 & 80251.966527 & 80251.966527 & 80107.950104 & 80251.966527 & 89428.503707 & 101107.732845 \tabularnewline
0.9 & 99022.156214 & 115210.127588 & 101107.732845 & 101107.732845 & 101107.732845 & 101107.732845 & 104633.331531 & 118735.726274 \tabularnewline
0.92 & 120656.739849 & 135083.890726 & 134744.172738 & 134744.172738 & 121937.415566 & 118735.726274 & 142897.404447 & 134744.172738 \tabularnewline
0.94 & 137631.775635 & 145492.090403 & 143237.122435 & 143237.122435 & 138141.352617 & 134744.172738 & 149035.611495 & 143237.122435 \tabularnewline
0.96 & 147747.05837 & 159839.907107 & 151290.579463 & 151290.579463 & 148069.196651 & 151290.579463 & 159182.266519 & 167731.594163 \tabularnewline
0.98 & 164114.570929 & 244241.418874 & 167731.594163 & 167731.594163 & 164443.391223 & 167731.594163 & 191892.591441 & 268402.416151 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195237&T=1

[TABLE]
[ROW][C]Percentiles - Ungrouped Data[/C][/ROW]
[ROW][C]p[/C][C]Weighted Average at Xnp[/C][C]Weighted Average at X(n+1)p[/C][C]Empirical Distribution Function[/C][C]Empirical Distribution Function - Averaging[/C][C]Empirical Distribution Function - Interpolation[/C][C]Closest Observation[/C][C]True Basic - Statistics Graphics Toolkit[/C][C]MS Excel (old versions)[/C][/ROW]
[ROW][C]0.02[/C][C]-176383.827505[/C][C]-176381.061682[/C][C]-176275.960398[/C][C]-176275.960398[/C][C]-174318.624959[/C][C]-176414.251561[/C][C]-176309.150277[/C][C]-176414.251561[/C][/ROW]
[ROW][C]0.04[/C][C]-171969.822433[/C][C]-171578.355345[/C][C]-166489.283204[/C][C]-166489.283204[/C][C]-159600.531495[/C][C]-176275.960398[/C][C]-171186.888257[/C][C]-176275.960398[/C][/ROW]
[ROW][C]0.06[/C][C]-155122.842884[/C][C]-154089.530128[/C][C]-149267.403931[/C][C]-149267.403931[/C][C]-127715.117206[/C][C]-149267.403931[/C][C]-161667.157008[/C][C]-149267.403931[/C][/ROW]
[ROW][C]0.08[/C][C]-117657.383401[/C][C]-114783.745171[/C][C]-113346.926056[/C][C]-113346.926056[/C][C]-110323.301262[/C][C]-113346.926056[/C][C]-147830.584816[/C][C]-113346.926056[/C][/ROW]
[ROW][C]0.1[/C][C]-108688.989168[/C][C]-107810.583271[/C][C]-100783.336098[/C][C]-100783.336098[/C][C]-100783.336098[/C][C]-109567.395064[/C][C]-102540.147891[/C][C]-109567.395064[/C][/ROW]
[ROW][C]0.12[/C][C]-96622.477301[/C][C]-95062.155252[/C][C]-87780.652357[/C][C]-87780.652357[/C][C]-86719.086137[/C][C]-100783.336098[/C][C]-93501.833203[/C][C]-100783.336098[/C][/ROW]
[ROW][C]0.14[/C][C]-84914.423565[/C][C]-84171.327212[/C][C]-82472.821261[/C][C]-82472.821261[/C][C]-80386.243605[/C][C]-82472.821261[/C][C]-86082.146406[/C][C]-82472.821261[/C][/ROW]
[ROW][C]0.16[/C][C]-78508.323714[/C][C]-77673.692651[/C][C]-77256.37712[/C][C]-77256.37712[/C][C]-63854.975947[/C][C]-77256.37712[/C][C]-82055.50573[/C][C]-77256.37712[/C][/ROW]
[ROW][C]0.18[/C][C]-55367.421872[/C][C]-54515.956341[/C][C]-54920.708499[/C][C]-54920.708499[/C][C]-52896.94771[/C][C]-54920.708499[/C][C]-52795.759671[/C][C]-54920.708499[/C][/ROW]
[ROW][C]0.2[/C][C]-51425.596979[/C][C]-50460.186445[/C][C]-47563.954842[/C][C]-47563.954842[/C][C]-47563.954842[/C][C]-52391.007513[/C][C]-49494.775911[/C][C]-52391.007513[/C][/ROW]
[ROW][C]0.22[/C][C]-47304.779213[/C][C]-47169.020551[/C][C]-46946.870012[/C][C]-46946.870012[/C][C]-46912.95381[/C][C]-47563.954842[/C][C]-47341.804303[/C][C]-46946.870012[/C][/ROW]
[ROW][C]0.24[/C][C]-46838.338166[/C][C]-46797.638724[/C][C]-46777.289003[/C][C]-46777.289003[/C][C]-46072.931093[/C][C]-46777.289003[/C][C]-46926.520291[/C][C]-46777.289003[/C][/ROW]
[ROW][C]0.26[/C][C]-45262.919496[/C][C]-44851.4113[/C][C]-45016.394228[/C][C]-45016.394228[/C][C]-44191.479588[/C][C]-45016.394228[/C][C]-43806.519422[/C][C]-45016.394228[/C][/ROW]
[ROW][C]0.28[/C][C]-43538.022276[/C][C]-43175.722511[/C][C]-42347.608763[/C][C]-42347.608763[/C][C]-42606.394309[/C][C]-43641.536494[/C][C]-42813.422746[/C][C]-43641.536494[/C][/ROW]
[ROW][C]0.3[/C][C]-42112.227608[/C][C]-41876.846454[/C][C]-41563.004915[/C][C]-41563.004915[/C][C]-41563.004915[/C][C]-42347.608763[/C][C]-42033.767224[/C][C]-41563.004915[/C][/ROW]
[ROW][C]0.32[/C][C]-38859.815602[/C][C]-37196.314486[/C][C]-36364.563928[/C][C]-36364.563928[/C][C]-36325.766891[/C][C]-36364.563928[/C][C]-40731.254357[/C][C]-36364.563928[/C][/ROW]
[ROW][C]0.34[/C][C]-36221.014892[/C][C]-36089.309923[/C][C]-36170.578744[/C][C]-36170.578744[/C][C]-35764.234639[/C][C]-36170.578744[/C][C]-35235.987301[/C][C]-36170.578744[/C][/ROW]
[ROW][C]0.36[/C][C]-35195.352891[/C][C]-33976.758829[/C][C]-35154.71848[/C][C]-35154.71848[/C][C]-32946.044133[/C][C]-35154.71848[/C][C]-32651.554221[/C][C]-35154.71848[/C][/ROW]
[ROW][C]0.38[/C][C]-31026.631925[/C][C]-30083.044122[/C][C]-28990.468771[/C][C]-28990.468771[/C][C]-29487.09393[/C][C]-31473.594569[/C][C]-30381.019218[/C][C]-28990.468771[/C][/ROW]
[ROW][C]0.4[/C][C]-23782.519854[/C][C]-18574.570936[/C][C]-15970.596478[/C][C]-15970.596478[/C][C]-15970.596478[/C][C]-28990.468771[/C][C]-26386.494312[/C][C]-15970.596478[/C][/ROW]
[ROW][C]0.42[/C][C]-15959.607479[/C][C]-15931.003008[/C][C]-15952.872286[/C][C]-15952.872286[/C][C]-15843.525897[/C][C]-15952.872286[/C][C]-15428.009616[/C][C]-15952.872286[/C][/ROW]
[ROW][C]0.44[/C][C]-15493.61745[/C][C]-14930.326359[/C][C]-15406.140338[/C][C]-15406.140338[/C][C]-14726.406082[/C][C]-15406.140338[/C][C]-14182.618677[/C][C]-15406.140338[/C][/ROW]
[ROW][C]0.46[/C][C]-13514.97146[/C][C]-12044.249972[/C][C]-10509.584071[/C][C]-10509.584071[/C][C]-11788.472322[/C][C]-13706.804698[/C][C]-12172.138797[/C][C]-10509.584071[/C][/ROW]
[ROW][C]0.48[/C][C]-8621.591507[/C][C]-5385.032828[/C][C]-3766.753488[/C][C]-3766.753488[/C][C]-5115.319604[/C][C]-10509.584071[/C][C]-8891.304731[/C][C]-3766.753488[/C][/ROW]
[ROW][C]0.5[/C][C]-3008.517092[/C][C]-2250.280697[/C][C]-2250.280697[/C][C]-2250.280697[/C][C]-2250.280697[/C][C]-2250.280697[/C][C]-2250.280697[/C][C]-2250.280697[/C][/ROW]
[ROW][C]0.52[/C][C]-375.060549[/C][C]477.478718[/C][C]354.191731[/C][C]354.191731[/C][C]456.930887[/C][C]354.191731[/C][C]744.600523[/C][C]354.191731[/C][/ROW]
[ROW][C]0.54[/C][C]837.065763[/C][C]5229.386952[/C][C]867.88751[/C][C]867.88751[/C][C]4502.470379[/C][C]867.88751[/C][C]5592.845239[/C][C]867.88751[/C][/ROW]
[ROW][C]0.56[/C][C]10933.563166[/C][C]14360.827858[/C][C]16074.460204[/C][C]16074.460204[/C][C]13626.413996[/C][C]9954.344682[/C][C]11667.977029[/C][C]16074.460204[/C][/ROW]
[ROW][C]0.58[/C][C]17141.479759[/C][C]18770.088553[/C][C]18882.4064[/C][C]18882.4064[/C][C]18320.817161[/C][C]16074.460204[/C][C]16186.778052[/C][C]18882.4064[/C][/ROW]
[ROW][C]0.6[/C][C]19071.947686[/C][C]19404.533053[/C][C]19198.308544[/C][C]19198.308544[/C][C]19198.308544[/C][C]19198.308544[/C][C]20023.206582[/C][C]19198.308544[/C][/ROW]
[ROW][C]0.62[/C][C]20043.829033[/C][C]22068.333984[/C][C]20229.431092[/C][C]20229.431092[/C][C]21065.296043[/C][C]20229.431092[/C][C]22569.852955[/C][C]20229.431092[/C][/ROW]
[ROW][C]0.64[/C][C]24520.294573[/C][C]26304.914188[/C][C]27197.223995[/C][C]27197.223995[/C][C]25524.143106[/C][C]24408.755847[/C][C]25301.065654[/C][C]27197.223995[/C][/ROW]
[ROW][C]0.66[/C][C]28668.241793[/C][C]32402.363896[/C][C]32854.984757[/C][C]32854.984757[/C][C]30591.880452[/C][C]27197.223995[/C][C]27649.844856[/C][C]32854.984757[/C][/ROW]
[ROW][C]0.68[/C][C]33221.403453[/C][C]33850.597733[/C][C]33618.357041[/C][C]33618.357041[/C][C]33465.682584[/C][C]32854.984757[/C][C]34837.620675[/C][C]33618.357041[/C][/ROW]
[ROW][C]0.7[/C][C]34634.410069[/C][C]36620.857244[/C][C]35069.861367[/C][C]35069.861367[/C][C]35069.861367[/C][C]35069.861367[/C][C]37396.355182[/C][C]35069.861367[/C][/ROW]
[ROW][C]0.72[/C][C]38637.151883[/C][C]43660.935654[/C][C]38947.351058[/C][C]38947.351058[/C][C]40420.346244[/C][C]38947.351058[/C][C]41598.742393[/C][C]46312.326988[/C][/ROW]
[ROW][C]0.74[/C][C]47515.357745[/C][C]53874.234602[/C][C]54905.403822[/C][C]54905.403822[/C][C]49749.557722[/C][C]46312.326988[/C][C]47343.496209[/C][C]54905.403822[/C][/ROW]
[ROW][C]0.76[/C][C]56210.652909[/C][C]58540.931453[/C][C]58531.095729[/C][C]58531.095729[/C][C]57080.818966[/C][C]54905.403822[/C][C]58603.224375[/C][C]58531.095729[/C][/ROW]
[ROW][C]0.78[/C][C]58578.635064[/C][C]58966.687242[/C][C]58613.060099[/C][C]58613.060099[/C][C]58596.667225[/C][C]58613.060099[/C][C]59241.730575[/C][C]58613.060099[/C][/ROW]
[ROW][C]0.8[/C][C]59398.898194[/C][C]63376.847411[/C][C]59595.357718[/C][C]59595.357718[/C][C]59595.357718[/C][C]59595.357718[/C][C]62116.350846[/C][C]65897.840539[/C][/ROW]
[ROW][C]0.82[/C][C]66080.600246[/C][C]73573.748245[/C][C]75035.825904[/C][C]75035.825904[/C][C]67725.437612[/C][C]65897.840539[/C][C]67359.918197[/C][C]75035.825904[/C][/ROW]
[ROW][C]0.84[/C][C]75083.102625[/C][C]75576.738015[/C][C]75232.812241[/C][C]75232.812241[/C][C]75114.620439[/C][C]75035.825904[/C][C]79187.958641[/C][C]75232.812241[/C][/ROW]
[ROW][C]0.86[/C][C]77210.385441[/C][C]79762.310691[/C][C]79531.884415[/C][C]79531.884415[/C][C]77812.255545[/C][C]75232.812241[/C][C]80021.540251[/C][C]79531.884415[/C][/ROW]
[ROW][C]0.88[/C][C]80021.540251[/C][C]91931.195665[/C][C]80251.966527[/C][C]80251.966527[/C][C]80107.950104[/C][C]80251.966527[/C][C]89428.503707[/C][C]101107.732845[/C][/ROW]
[ROW][C]0.9[/C][C]99022.156214[/C][C]115210.127588[/C][C]101107.732845[/C][C]101107.732845[/C][C]101107.732845[/C][C]101107.732845[/C][C]104633.331531[/C][C]118735.726274[/C][/ROW]
[ROW][C]0.92[/C][C]120656.739849[/C][C]135083.890726[/C][C]134744.172738[/C][C]134744.172738[/C][C]121937.415566[/C][C]118735.726274[/C][C]142897.404447[/C][C]134744.172738[/C][/ROW]
[ROW][C]0.94[/C][C]137631.775635[/C][C]145492.090403[/C][C]143237.122435[/C][C]143237.122435[/C][C]138141.352617[/C][C]134744.172738[/C][C]149035.611495[/C][C]143237.122435[/C][/ROW]
[ROW][C]0.96[/C][C]147747.05837[/C][C]159839.907107[/C][C]151290.579463[/C][C]151290.579463[/C][C]148069.196651[/C][C]151290.579463[/C][C]159182.266519[/C][C]167731.594163[/C][/ROW]
[ROW][C]0.98[/C][C]164114.570929[/C][C]244241.418874[/C][C]167731.594163[/C][C]167731.594163[/C][C]164443.391223[/C][C]167731.594163[/C][C]191892.591441[/C][C]268402.416151[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195237&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195237&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Percentiles - Ungrouped Data
pWeighted Average at XnpWeighted Average at X(n+1)pEmpirical Distribution FunctionEmpirical Distribution Function - AveragingEmpirical Distribution Function - InterpolationClosest ObservationTrue Basic - Statistics Graphics ToolkitMS Excel (old versions)
0.02-176383.827505-176381.061682-176275.960398-176275.960398-174318.624959-176414.251561-176309.150277-176414.251561
0.04-171969.822433-171578.355345-166489.283204-166489.283204-159600.531495-176275.960398-171186.888257-176275.960398
0.06-155122.842884-154089.530128-149267.403931-149267.403931-127715.117206-149267.403931-161667.157008-149267.403931
0.08-117657.383401-114783.745171-113346.926056-113346.926056-110323.301262-113346.926056-147830.584816-113346.926056
0.1-108688.989168-107810.583271-100783.336098-100783.336098-100783.336098-109567.395064-102540.147891-109567.395064
0.12-96622.477301-95062.155252-87780.652357-87780.652357-86719.086137-100783.336098-93501.833203-100783.336098
0.14-84914.423565-84171.327212-82472.821261-82472.821261-80386.243605-82472.821261-86082.146406-82472.821261
0.16-78508.323714-77673.692651-77256.37712-77256.37712-63854.975947-77256.37712-82055.50573-77256.37712
0.18-55367.421872-54515.956341-54920.708499-54920.708499-52896.94771-54920.708499-52795.759671-54920.708499
0.2-51425.596979-50460.186445-47563.954842-47563.954842-47563.954842-52391.007513-49494.775911-52391.007513
0.22-47304.779213-47169.020551-46946.870012-46946.870012-46912.95381-47563.954842-47341.804303-46946.870012
0.24-46838.338166-46797.638724-46777.289003-46777.289003-46072.931093-46777.289003-46926.520291-46777.289003
0.26-45262.919496-44851.4113-45016.394228-45016.394228-44191.479588-45016.394228-43806.519422-45016.394228
0.28-43538.022276-43175.722511-42347.608763-42347.608763-42606.394309-43641.536494-42813.422746-43641.536494
0.3-42112.227608-41876.846454-41563.004915-41563.004915-41563.004915-42347.608763-42033.767224-41563.004915
0.32-38859.815602-37196.314486-36364.563928-36364.563928-36325.766891-36364.563928-40731.254357-36364.563928
0.34-36221.014892-36089.309923-36170.578744-36170.578744-35764.234639-36170.578744-35235.987301-36170.578744
0.36-35195.352891-33976.758829-35154.71848-35154.71848-32946.044133-35154.71848-32651.554221-35154.71848
0.38-31026.631925-30083.044122-28990.468771-28990.468771-29487.09393-31473.594569-30381.019218-28990.468771
0.4-23782.519854-18574.570936-15970.596478-15970.596478-15970.596478-28990.468771-26386.494312-15970.596478
0.42-15959.607479-15931.003008-15952.872286-15952.872286-15843.525897-15952.872286-15428.009616-15952.872286
0.44-15493.61745-14930.326359-15406.140338-15406.140338-14726.406082-15406.140338-14182.618677-15406.140338
0.46-13514.97146-12044.249972-10509.584071-10509.584071-11788.472322-13706.804698-12172.138797-10509.584071
0.48-8621.591507-5385.032828-3766.753488-3766.753488-5115.319604-10509.584071-8891.304731-3766.753488
0.5-3008.517092-2250.280697-2250.280697-2250.280697-2250.280697-2250.280697-2250.280697-2250.280697
0.52-375.060549477.478718354.191731354.191731456.930887354.191731744.600523354.191731
0.54837.0657635229.386952867.88751867.887514502.470379867.887515592.845239867.88751
0.5610933.56316614360.82785816074.46020416074.46020413626.4139969954.34468211667.97702916074.460204
0.5817141.47975918770.08855318882.406418882.406418320.81716116074.46020416186.77805218882.4064
0.619071.94768619404.53305319198.30854419198.30854419198.30854419198.30854420023.20658219198.308544
0.6220043.82903322068.33398420229.43109220229.43109221065.29604320229.43109222569.85295520229.431092
0.6424520.29457326304.91418827197.22399527197.22399525524.14310624408.75584725301.06565427197.223995
0.6628668.24179332402.36389632854.98475732854.98475730591.88045227197.22399527649.84485632854.984757
0.6833221.40345333850.59773333618.35704133618.35704133465.68258432854.98475734837.62067533618.357041
0.734634.41006936620.85724435069.86136735069.86136735069.86136735069.86136737396.35518235069.861367
0.7238637.15188343660.93565438947.35105838947.35105840420.34624438947.35105841598.74239346312.326988
0.7447515.35774553874.23460254905.40382254905.40382249749.55772246312.32698847343.49620954905.403822
0.7656210.65290958540.93145358531.09572958531.09572957080.81896654905.40382258603.22437558531.095729
0.7858578.63506458966.68724258613.06009958613.06009958596.66722558613.06009959241.73057558613.060099
0.859398.89819463376.84741159595.35771859595.35771859595.35771859595.35771862116.35084665897.840539
0.8266080.60024673573.74824575035.82590475035.82590467725.43761265897.84053967359.91819775035.825904
0.8475083.10262575576.73801575232.81224175232.81224175114.62043975035.82590479187.95864175232.812241
0.8677210.38544179762.31069179531.88441579531.88441577812.25554575232.81224180021.54025179531.884415
0.8880021.54025191931.19566580251.96652780251.96652780107.95010480251.96652789428.503707101107.732845
0.999022.156214115210.127588101107.732845101107.732845101107.732845101107.732845104633.331531118735.726274
0.92120656.739849135083.890726134744.172738134744.172738121937.415566118735.726274142897.404447134744.172738
0.94137631.775635145492.090403143237.122435143237.122435138141.352617134744.172738149035.611495143237.122435
0.96147747.05837159839.907107151290.579463151290.579463148069.196651151290.579463159182.266519167731.594163
0.98164114.570929244241.418874167731.594163167731.594163164443.391223167731.594163191892.591441268402.416151



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
x <-sort(x[!is.na(x)])
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
lx <- length(x)
qval <- array(NA,dim=c(99,8))
mystep <- 25
mystart <- 25
if (lx>10){
mystep=10
mystart=10
}
if (lx>20){
mystep=5
mystart=5
}
if (lx>50){
mystep=2
mystart=2
}
if (lx>=100){
mystep=1
mystart=1
}
for (perc in seq(mystart,99,mystep)) {
qval[perc,1] <- q1(x,lx,perc/100,i,f)
qval[perc,2] <- q2(x,lx,perc/100,i,f)
qval[perc,3] <- q3(x,lx,perc/100,i,f)
qval[perc,4] <- q4(x,lx,perc/100,i,f)
qval[perc,5] <- q5(x,lx,perc/100,i,f)
qval[perc,6] <- q6(x,lx,perc/100,i,f)
qval[perc,7] <- q7(x,lx,perc/100,i,f)
qval[perc,8] <- q8(x,lx,perc/100,i,f)
}
bitmap(file='test1.png')
myqqnorm <- qqnorm(x,col=2)
qqline(x)
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Percentiles - Ungrouped Data',9,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p',1,TRUE)
a<-table.element(a,hyperlink('method_1.htm', 'Weighted Average at Xnp',''),1,TRUE)
a<-table.element(a,hyperlink('method_2.htm','Weighted Average at X(n+1)p',''),1,TRUE)
a<-table.element(a,hyperlink('method_3.htm','Empirical Distribution Function',''),1,TRUE)
a<-table.element(a,hyperlink('method_4.htm','Empirical Distribution Function - Averaging',''),1,TRUE)
a<-table.element(a,hyperlink('method_5.htm','Empirical Distribution Function - Interpolation',''),1,TRUE)
a<-table.element(a,hyperlink('method_6.htm','Closest Observation',''),1,TRUE)
a<-table.element(a,hyperlink('method_7.htm','True Basic - Statistics Graphics Toolkit',''),1,TRUE)
a<-table.element(a,hyperlink('method_8.htm','MS Excel (old versions)',''),1,TRUE)
a<-table.row.end(a)
for (perc in seq(mystart,99,mystep)) {
a<-table.row.start(a)
a<-table.element(a,round(perc/100,2),1,TRUE)
for (j in 1:8) {
a<-table.element(a,round(qval[perc,j],6))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')