*The author of this computation has been verified*

R Software Module: /rwasp_centraltendency.wasp (opens new window with default values)

Title produced by software: Central Tendency

Date of computation: Fri, 19 Nov 2010 17:17:55 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/19/t1290187028acg4kz4zjkjpevm.htm/, Retrieved Fri, 19 Nov 2010 18:17:08 +0100

BibTeX entries for LaTeX users:

@Manual{KEY, author = {{YOUR NAME}}, publisher = {Office for Research Development and Education}, title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/19/t1290187028acg4kz4zjkjpevm.htm/}, year = {2010}, } @Manual{R, title = {R: A Language and Environment for Statistical Computing}, author = {{R Development Core Team}}, organization = {R Foundation for Statistical Computing}, address = {Vienna, Austria}, year = {2010}, note = {{ISBN} 3-900051-07-0}, url = {http://www.R-project.org}, }

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

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0.00099950033305429 0.00099850232957088 -0.0009985023296184 -0.0030015030037291 0.001001502337127 -0.004012041489962 -0.0040282028286014 0.0020161297152037 0.0040201059166187 0.001002506349653 -0.0030105391528727 0.0010045204259987 -6.6613381477509E-15 0.0050075217305934 -0.0009995003331289 -4.5741188614556E-14 -0.001000500333546 0.001000500333538 -4.5741188614556E-14 -4.5741188614556E-14 -0.001000500333546 -0.0010015023370622 -0.001002506349673 0.002004008686753 0.001000500333538 -0.002002002670646 2.7089441800854E-14 -0.004016069654873 0.0020100509280176 -6.6613381477509E-15 0.0020060187268931 -0.001002506349673 0.002004008686753 -0.0020040086867623 -4.7073456244107E-14 -4.7073456244107E-14 -4.7073456244107E-14 0.001002506349653 0.0030015030037274 -2.8865798640254E-14 -0.0020000006666292 -0.0020040086867623 -4.7073456244107E-14 0.001002506349653 -0.001002506349673 -4.7073456244107E-14 0.001002506349653 -0.001002506349673 -0.0010035123772467 -6.6613381477509E- etc...

Output produced by software:

Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 9 seconds R Server 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 Central Tendency - Ungrouped Data Measure Value S.E. Value/S.E. Arithmetic Mean 6.37806184600552e-05 5.83697284598498e-05 1.09270027706103 Geometric Mean NaN Harmonic Mean -1.96121734863453e-13 Quadratic Mean 0.00146529410644789 Winsorized Mean ( 1 / 210 ) 6.22713721765544e-05 5.77450678142631e-05 1.07838425918643 Winsorized Mean ( 2 / 210 ) 6.2245950676248e-05 5.77320117438199e-05 1.07818779904048 Winsorized Mean ( 3 / 210 ) 6.21463210514313e-05 5.77137162140111e-05 1.07680331692701 Winsorized Mean ( 4 / 210 ) 6.21692853088301e-05 5.75816704480219e-05 1.07967144449117 Winsorized Mean ( 5 / 210 ) 5.52504477106888e-05 5.67203656065787e-05 0.97408483037494 Winsorized Mean ( 6 / 210 ) 6.37942851185688e-05 5.58612349439e-05 1.14201351227977 Winsorized Mean ( 7 / 210 ) 6.36830636179421e-05 5.58353004659381e-05 1.14055200001640 Winsorized Mean ( 8 / 210 ) 6.28831604564932e-05 5.57462839862653e-05 1.12802425489 Winsorized Mean ( 9 / 210 ) 6.27487436905976e-05 5.57144109503893e-05 1.12625697050754 Winsorized Mean ( 10 / 210 ) 6.20726517557309e-05 5.56309384491359e-05 1.11579371993670 Winsorized Mean ( 11 / 210 ) 4.73326836204558e-05 5.41708846536474e-05 0.873766118517114 Winsorized Mean ( 12 / 210 ) 4.71576720702558e-05 5.41455208029232e-05 0.87094317998895 Winsorized Mean ( 13 / 210 ) 4.70315021651948e-05 5.4112818099929e-05 0.869137919935028 Winsorized Mean ( 14 / 210 ) 4.69647017979526e-05 5.41070163777709e-05 0.867996517679866 Winsorized Mean ( 15 / 210 ) 4.70355625263264e-05 5.41006967321823e-05 0.869407703918661 Winsorized Mean ( 16 / 210 ) 4.69587677821715e-05 5.40807682365034e-05 0.868308075373738 Winsorized Mean ( 17 / 210 ) 4.66372110851344e-05 5.40389098103296e-05 0.863030198958966 Winsorized Mean ( 18 / 210 ) 4.61325537281372e-05 5.39954586855472e-05 0.854378402391189 Winsorized Mean ( 19 / 210 ) 4.61357057915064e-05 5.3949028713363e-05 0.8551721299123 Winsorized Mean ( 20 / 210 ) 4.68774615009191e-05 5.38832680439783e-05 0.869981781035604 Winsorized Mean ( 21 / 210 ) 4.66839010609491e-05 5.38666777367142e-05 0.866656400996688 Winsorized Mean ( 22 / 210 ) 7.90973174019063e-05 5.13721386569532e-05 1.53969290494392 Winsorized Mean ( 23 / 210 ) 7.91717406929337e-05 5.1367305595616e-05 1.54128661752682 Winsorized Mean ( 24 / 210 ) 7.9106245628507e-05 5.13377075375147e-05 1.54089945622719 Winsorized Mean ( 25 / 210 ) 7.91866527031578e-05 5.13324975202002e-05 1.54262224767062 Winsorized Mean ( 26 / 210 ) 7.83585068259185e-05 5.12592488721033e-05 1.52867060189334 Winsorized Mean ( 27 / 210 ) 7.75968240028385e-05 5.11789851845489e-05 1.51618528040421 Winsorized Mean ( 28 / 210 ) 3.81910487681852e-05 4.81495838250514e-05 0.793175054367033 Winsorized Mean ( 29 / 210 ) 3.82831977710756e-05 4.81309390990367e-05 0.795396858812627 Winsorized Mean ( 30 / 210 ) 3.82831977710756e-05 4.81309390990367e-05 0.795396858812627 Winsorized Mean ( 31 / 210 ) 3.81834929976131e-05 4.8124434731588e-05 0.793432550648749 Winsorized Mean ( 32 / 210 ) 3.81828760939433e-05 4.81108469592006e-05 0.793643814383967 Winsorized Mean ( 33 / 210 ) 3.81828760939433e-05 4.81108469592006e-05 0.793643814383967 Winsorized Mean ( 34 / 210 ) 3.8073961421161e-05 4.81037529407188e-05 0.791496693991462 Winsorized Mean ( 35 / 210 ) 3.8073961421161e-05 4.81037529407188e-05 0.791496693991462 Winsorized Mean ( 36 / 210 ) 3.80735008389325e-05 4.80885285740987e-05 0.791737696450116 Winsorized Mean ( 37 / 210 ) 3.80735008389325e-05 4.80885285740987e-05 0.791737696450116 Winsorized Mean ( 38 / 210 ) 3.79522603225455e-05 4.80806436813206e-05 0.789345928355155 Winsorized Mean ( 39 / 210 ) 3.80761939045378e-05 4.80722871424564e-05 0.792061209646707 Winsorized Mean ( 40 / 210 ) 3.80761939045378e-05 4.80722871424564e-05 0.792061209646707 Winsorized Mean ( 41 / 210 ) 3.82062227304788e-05 4.80635261102713e-05 0.79491094021739 Winsorized Mean ( 42 / 210 ) 3.80724883220988e-05 4.80548335207966e-05 0.792271776482635 Winsorized Mean ( 43 / 210 ) 3.82085878251202e-05 4.80456690826929e-05 0.795255608978163 Winsorized Mean ( 44 / 210 ) 3.82085878251202e-05 4.80456690826929e-05 0.795255608978163 Winsorized Mean ( 45 / 210 ) 3.80655875401774e-05 4.80363801816929e-05 0.79243247297565 Winsorized Mean ( 46 / 210 ) 3.82108920379573e-05 4.80266016834025e-05 0.795619317182765 Winsorized Mean ( 47 / 210 ) 3.8359059582585e-05 4.80166374943596e-05 0.798870174678327 Winsorized Mean ( 48 / 210 ) 3.82068307076059e-05 4.80067539061489e-05 0.7958636566492 Winsorized Mean ( 49 / 210 ) 3.83609958524848e-05 4.79963921881674e-05 0.799247487229718 Winsorized Mean ( 50 / 210 ) 3.85179944733261e-05 4.79858472182309e-05 0.80269489247847 Winsorized Mean ( 51 / 210 ) 3.85163946733904e-05 4.79646428295704e-05 0.803016397104179 Winsorized Mean ( 52 / 210 ) 3.88413342220532e-05 4.79428514794734e-05 0.810159033587793 Winsorized Mean ( 53 / 210 ) 3.93356623467528e-05 4.79097552146141e-05 0.821036596211915 Winsorized Mean ( 54 / 210 ) 3.98363401344013e-05 4.78762996389312e-05 0.832068067808814 Winsorized Mean ( 55 / 210 ) 3.94892189473688e-05 4.78537667855524e-05 0.82520607258217 Winsorized Mean ( 56 / 210 ) 3.96616113622221e-05 4.78422589332016e-05 0.829007915734048 Winsorized Mean ( 57 / 210 ) 3.98321838890665e-05 4.78072889000369e-05 0.83318223654878 Winsorized Mean ( 58 / 210 ) 4.00096828825014e-05 4.77954608104202e-05 0.837102147444483 Winsorized Mean ( 59 / 210 ) 4.00096828825013e-05 4.77954608104202e-05 0.837102147444482 Winsorized Mean ( 60 / 210 ) 4.00045441443014e-05 4.77710381504496e-05 0.83742254079368 Winsorized Mean ( 61 / 210 ) 4.00045441443014e-05 4.77710381504496e-05 0.837422540793681 Winsorized Mean ( 62 / 210 ) 3.98102524996652e-05 4.77584459499669e-05 0.833575123892672 Winsorized Mean ( 63 / 210 ) 4.05761846054052e-05 4.7707497436806e-05 0.850520081443235 Winsorized Mean ( 64 / 210 ) 4.01762590049785e-05 4.76815854304851e-05 0.842594864290983 Winsorized Mean ( 65 / 210 ) 4.05690720450682e-05 4.76554936115079e-05 0.851298957803083 Winsorized Mean ( 66 / 210 ) 4.05690720450682e-05 4.76554936115079e-05 0.851298957803083 Winsorized Mean ( 67 / 210 ) 4.0152056399443e-05 4.76284989632501e-05 0.843025862108821 Winsorized Mean ( 68 / 210 ) 4.01276787637287e-05 4.75198886332419e-05 0.844439663430902 Winsorized Mean ( 69 / 210 ) 3.99095456524344e-05 4.7478818573638e-05 0.840575794668016 Winsorized Mean ( 70 / 210 ) 3.99037586787232e-05 4.74511307518389e-05 0.84094431568792 Winsorized Mean ( 71 / 210 ) 3.98979061888665e-05 4.74231130390247e-05 0.841317737956896 Winsorized Mean ( 72 / 210 ) 4.01119001323407e-05 4.74089410159784e-05 0.846083023006603 Winsorized Mean ( 73 / 210 ) 4.03284469662979e-05 4.73946076351021e-05 0.850907919246688 Winsorized Mean ( 74 / 210 ) 4.0102426786328e-05 4.73800368840726e-05 0.846399231061151 Winsorized Mean ( 75 / 210 ) 4.03174729770899e-05 4.73359514715959e-05 0.851730486526348 Winsorized Mean ( 76 / 210 ) 0.000151201165082054 4.10706940081459e-05 3.68148551500164 Winsorized Mean ( 77 / 210 ) 0.000150967359949540 4.1054355492907e-05 3.67725563188108 Winsorized Mean ( 78 / 210 ) 0.000151092921241760 4.10487241214437e-05 3.68081894079699 Winsorized Mean ( 79 / 210 ) 0.00015061456939468 4.10153204162223e-05 3.67215391386066 Winsorized Mean ( 80 / 210 ) 0.000150501595962997 4.09927056470651e-05 3.67142382010036 Winsorized Mean ( 81 / 210 ) 0.000150257558172175 4.0975684954126e-05 3.66699320195365 Winsorized Mean ( 82 / 210 ) 0.000149650754860949 4.09183471679858e-05 3.65730204708843 Winsorized Mean ( 83 / 210 ) 0.000149650754860949 4.09183471679858e-05 3.65730204708843 Winsorized Mean ( 84 / 210 ) 0.000149399639510029 4.09008663760053e-05 3.65272554709686 Winsorized Mean ( 85 / 210 ) 0.00014889290581357 4.08656166722108e-05 3.64347629959587 Winsorized Mean ( 86 / 210 ) 0.000148774908589370 4.08416747182576e-05 3.64272301798787 Winsorized Mean ( 87 / 210 ) 0.000148516832226290 4.08237420883645e-05 3.63800143320569 Winsorized Mean ( 88 / 210 ) 0.000148516832226290 4.08237420883645e-05 3.63800143320569 Winsorized Mean ( 89 / 210 ) 0.000148516832226290 4.08237420883645e-05 3.63800143320569 Winsorized Mean ( 90 / 210 ) 0.000147862710257890 4.07619030169193e-05 3.62747318731697 Winsorized Mean ( 91 / 210 ) 0.000147060654776924 4.07062905899736e-05 3.61272551847667 Winsorized Mean ( 92 / 210 ) 1.39324232855090e-05 3.27225649016062e-05 0.425774181437259 Winsorized Mean ( 93 / 210 ) 1.3482393342428e-05 3.27008163068065e-05 0.412295314463502 Winsorized Mean ( 94 / 210 ) 1.33313801936924e-05 3.26935277561336e-05 0.40776817641502 Winsorized Mean ( 95 / 210 ) 1.33313801936924e-05 3.26935277561336e-05 0.40776817641502 Winsorized Mean ( 96 / 210 ) 1.31774638479553e-05 3.26861038401474e-05 0.40315186883087 Winsorized Mean ( 97 / 210 ) 1.31774638479553e-05 3.26861038401474e-05 0.40315186883087 Winsorized Mean ( 98 / 210 ) 1.33336435874131e-05 3.26783905553012e-05 0.408026324455873 Winsorized Mean ( 99 / 210 ) 1.31752359179459e-05 3.26707542203261e-05 0.403273087272316 Winsorized Mean ( 100 / 210 ) 1.31752359179459e-05 3.26707542203261e-05 0.403273087272316 Winsorized Mean ( 101 / 210 ) 1.31752359179460e-05 3.26707542203261e-05 0.403273087272316 Winsorized Mean ( 102 / 210 ) 1.30123552686126e-05 3.26629071056471e-05 0.398383255554216 Winsorized Mean ( 103 / 210 ) 1.31761748911025e-05 3.2654820000205e-05 0.40349862259292 Winsorized Mean ( 104 / 210 ) 1.31761748911025e-05 3.2654820000205e-05 0.40349862259292 Winsorized Mean ( 105 / 210 ) 1.31761748911025e-05 3.2654820000205e-05 0.40349862259292 Winsorized Mean ( 106 / 210 ) 1.31761748911025e-05 3.2654820000205e-05 0.40349862259292 Winsorized Mean ( 107 / 210 ) 1.31761748911025e-05 3.2654820000205e-05 0.40349862259292 Winsorized Mean ( 108 / 210 ) 1.31761748911025e-05 3.2654820000205e-05 0.40349862259292 Winsorized Mean ( 109 / 210 ) 1.31761748911025e-05 3.2654820000205e-05 0.40349862259292 Winsorized Mean ( 110 / 210 ) 1.31761748911025e-05 3.2654820000205e-05 0.403498622592920 Winsorized Mean ( 111 / 210 ) 1.33523654407820e-05 3.26461270868225e-05 0.409003046679054 Winsorized Mean ( 112 / 210 ) 1.33523654407820e-05 3.26461270868225e-05 0.409003046679054 Winsorized Mean ( 113 / 210 ) 1.31722806543724e-05 3.26374547648671e-05 0.403593991911154 Winsorized Mean ( 114 / 210 ) 1.31722806543724e-05 3.26374547648671e-05 0.403593991911154 Winsorized Mean ( 115 / 210 ) 1.31722806543724e-05 3.26374547648671e-05 0.403593991911154 Winsorized Mean ( 116 / 210 ) 1.29877847554455e-05 3.26285750049754e-05 0.398049401589405 Winsorized Mean ( 117 / 210 ) 1.29877847554455e-05 3.26285750049754e-05 0.398049401589404 Winsorized Mean ( 118 / 210 ) 1.29877847554455e-05 3.26285750049754e-05 0.398049401589404 Winsorized Mean ( 119 / 210 ) 1.29877847554455e-05 3.26285750049754e-05 0.398049401589405 Winsorized Mean ( 120 / 210 ) 1.31778806622074e-05 3.26191993192059e-05 0.403991542933071 Winsorized Mean ( 121 / 210 ) 1.29858170772409e-05 3.26099594912169e-05 0.398216289742354 Winsorized Mean ( 122 / 210 ) 1.29858170772409e-05 3.26099594912169e-05 0.398216289742354 Winsorized Mean ( 123 / 210 ) 1.29858170772409e-05 3.26099594912169e-05 0.398216289742355 Winsorized Mean ( 124 / 210 ) 1.29858170772409e-05 3.26099594912169e-05 0.398216289742355 Winsorized Mean ( 125 / 210 ) 1.29858170772409e-05 3.26099594912169e-05 0.398216289742355 Winsorized Mean ( 126 / 210 ) 1.29858170772409e-05 3.26099594912169e-05 0.398216289742354 Winsorized Mean ( 127 / 210 ) 1.27846322480455e-05 3.2600285920817e-05 0.392163193878059 Winsorized Mean ( 128 / 210 ) 1.29869966872623e-05 3.25903081719503e-05 0.398492601504145 Winsorized Mean ( 129 / 210 ) 1.29869966872623e-05 3.25903081719503e-05 0.398492601504145 Winsorized Mean ( 130 / 210 ) 1.29869966872623e-05 3.25903081719503e-05 0.398492601504146 Winsorized Mean ( 131 / 210 ) 1.31936912655685e-05 3.25801217404554e-05 0.40496138629174 Winsorized Mean ( 132 / 210 ) 1.34015490041405e-05 3.25698827450902e-05 0.411470594138407 Winsorized Mean ( 133 / 210 ) 1.31912797008290e-05 3.2559774311536e-05 0.405140391165283 Winsorized Mean ( 134 / 210 ) 1.31912797008290e-05 3.2559774311536e-05 0.405140391165284 Winsorized Mean ( 135 / 210 ) 1.34034386276369e-05 3.25493271467817e-05 0.411788500794313 Winsorized Mean ( 136 / 210 ) 1.34034386276369e-05 3.25493271467817e-05 0.411788500794313 Winsorized Mean ( 137 / 210 ) 1.34034386276369e-05 3.25493271467817e-05 0.411788500794313 Winsorized Mean ( 138 / 210 ) 1.34021419307017e-05 3.25282090075299e-05 0.412015980578557 Winsorized Mean ( 139 / 210 ) 1.34021419307017e-05 3.25282090075299e-05 0.412015980578557 Winsorized Mean ( 140 / 210 ) 1.34021419307017e-05 3.25282090075299e-05 0.412015980578557 Winsorized Mean ( 141 / 210 ) 1.34021419307017e-05 3.25282090075299e-05 0.412015980578557 Winsorized Mean ( 142 / 210 ) 1.34021419307017e-05 3.25282090075299e-05 0.412015980578557 Winsorized Mean ( 143 / 210 ) 1.31769627273233e-05 3.2517391618171e-05 0.405228158582064 Winsorized Mean ( 144 / 210 ) 1.3402367561321e-05 3.25062994841016e-05 0.412300624002924 Winsorized Mean ( 145 / 210 ) 1.3402367561321e-05 3.25062994841016e-05 0.412300624002924 Winsorized Mean ( 146 / 210 ) 1.34023675613210e-05 3.25062994841016e-05 0.412300624002925 Winsorized Mean ( 147 / 210 ) 1.34023675613210e-05 3.25062994841016e-05 0.412300624002925 Winsorized Mean ( 148 / 210 ) 1.34009851479964e-05 3.2483755485754e-05 0.412544207022908 Winsorized Mean ( 149 / 210 ) 1.34009851479964e-05 3.2483755485754e-05 0.412544207022908 Winsorized Mean ( 150 / 210 ) 1.36348519583583e-05 3.24722548689125e-05 0.419892366988401 Winsorized Mean ( 151 / 210 ) 1.36329797803019e-05 3.24493323708893e-05 0.420131287278263 Winsorized Mean ( 152 / 210 ) 1.38690281225492e-05 3.24377321233901e-05 0.427558501001016 Winsorized Mean ( 153 / 210 ) 1.43428240681681e-05 3.24144613795030e-05 0.4424822581577 Winsorized Mean ( 154 / 210 ) 1.43428240681681e-05 3.24144613795030e-05 0.442482258157701 Winsorized Mean ( 155 / 210 ) 1.45821090433569e-05 3.24027153927132e-05 0.450027377848591 Winsorized Mean ( 156 / 210 ) 1.48224635077131e-05 3.23909212521009e-05 0.457611668169263 Winsorized Mean ( 157 / 210 ) 1.50638827485426e-05 3.23790791777894e-05 0.465235057051153 Winsorized Mean ( 158 / 210 ) 1.48165635484461e-05 3.23671993670514e-05 0.457764769216604 Winsorized Mean ( 159 / 210 ) 1.48165635484461e-05 3.23671993670514e-05 0.457764769216604 Winsorized Mean ( 160 / 210 ) 1.48165635484461e-05 3.23671993670514e-05 0.457764769216604 Winsorized Mean ( 161 / 210 ) 1.50636470008691e-05 3.23550823015222e-05 0.465572822856346 Winsorized Mean ( 162 / 210 ) 1.50636470008691e-05 3.23550823015222e-05 0.465572822856346 Winsorized Mean ( 163 / 210 ) 1.50586688234292e-05 3.23306131879653e-05 0.46577120996377 Winsorized Mean ( 164 / 210 ) 1.50586688234292e-05 3.23306131879653e-05 0.46577120996377 Winsorized Mean ( 165 / 210 ) 1.48014153342416e-05 3.2318262349081e-05 0.457989206671023 Winsorized Mean ( 166 / 210 ) 1.45431149876818e-05 3.23058656960504e-05 0.450169487006187 Winsorized Mean ( 167 / 210 ) 1.45431149876818e-05 3.23058656960504e-05 0.450169487006188 Winsorized Mean ( 168 / 210 ) 1.42822194499751e-05 3.22933489050844e-05 0.442265046339819 Winsorized Mean ( 169 / 210 ) 1.42786331541833e-05 3.22681181528235e-05 0.442499717106493 Winsorized Mean ( 170 / 210 ) 1.40156731410338e-05 3.22555094022429e-05 0.434520285085288 Winsorized Mean ( 171 / 210 ) 1.40156731410338e-05 3.22555094022429e-05 0.434520285085288 Winsorized Mean ( 172 / 210 ) 1.34851378020137e-05 3.22300833804359e-05 0.418402200293388 Winsorized Mean ( 173 / 210 ) 1.32191153341334e-05 3.22173405272815e-05 0.410310569332670 Winsorized Mean ( 174 / 210 ) 1.32175468534651e-05 3.21915311197078e-05 0.410590810493425 Winsorized Mean ( 175 / 210 ) 1.29495052678735e-05 3.21786981967164e-05 0.402424771465581 Winsorized Mean ( 176 / 210 ) 1.29495052678735e-05 3.21786981967164e-05 0.40242477146558 Winsorized Mean ( 177 / 210 ) 1.29484462907862e-05 3.2152527738013e-05 0.402719387921641 Winsorized Mean ( 178 / 210 ) 1.29484462907862e-05 3.2152527738013e-05 0.402719387921642 Winsorized Mean ( 179 / 210 ) 1.29484462907862e-05 3.2152527738013e-05 0.402719387921642 Winsorized Mean ( 180 / 210 ) 1.29484462907862e-05 3.2152527738013e-05 0.402719387921642 Winsorized Mean ( 181 / 210 ) 1.29484462907862e-05 3.2152527738013e-05 0.402719387921642 Winsorized Mean ( 182 / 210 ) 1.29473605976813e-05 3.21256748607696e-05 0.403022213659145 Winsorized Mean ( 183 / 210 ) 1.29473605976813e-05 3.21256748607696e-05 0.403022213659144 Winsorized Mean ( 184 / 210 ) 1.29473605976813e-05 3.21256748607696e-05 0.403022213659144 Winsorized Mean ( 185 / 210 ) 1.26656651062760e-05 3.21121968296809e-05 0.394419141532206 Winsorized Mean ( 186 / 210 ) 1.26656651062760e-05 3.21121968296809e-05 0.394419141532206 Winsorized Mean ( 187 / 210 ) 1.35148913856797e-05 3.20705609060221e-05 0.42141113232422 Winsorized Mean ( 188 / 210 ) 1.37955964597366e-05 3.20291323174586e-05 0.430720268129675 Winsorized Mean ( 189 / 210 ) 1.37955964597366e-05 3.20291323174586e-05 0.430720268129676 Winsorized Mean ( 190 / 210 ) 1.37927999866271e-05 3.20013598535631e-05 0.431006683770388 Winsorized Mean ( 191 / 210 ) 1.37899969983819e-05 3.19734985233539e-05 0.43129459193555 Winsorized Mean ( 192 / 210 ) 1.37899969983819e-05 3.19734985233539e-05 0.43129459193555 Winsorized Mean ( 193 / 210 ) 1.37871729078256e-05 3.19454029996484e-05 0.431585505682223 Winsorized Mean ( 194 / 210 ) 1.37871729078256e-05 3.19454029996484e-05 0.431585505682223 Winsorized Mean ( 195 / 210 ) 1.40749541601989e-05 3.19028416783221e-05 0.441181832706859 Winsorized Mean ( 196 / 210 ) 1.37799861866158e-05 3.18887304826463e-05 0.432127148934787 Winsorized Mean ( 197 / 210 ) 1.37771286897396e-05 3.18602266220102e-05 0.432424064435934 Winsorized Mean ( 198 / 210 ) 1.37742650334402e-05 3.18316357042014e-05 0.432722501647068 Winsorized Mean ( 199 / 210 ) 1.37742650334401e-05 3.18316357042014e-05 0.432722501647067 Winsorized Mean ( 200 / 210 ) 1.34750281026147e-05 3.18173260762900e-05 0.423512273479707 Winsorized Mean ( 201 / 210 ) 1.31748780636419e-05 3.18029759478154e-05 0.414265573299184 Winsorized Mean ( 202 / 210 ) 1.31731353145961e-05 3.17739238131723e-05 0.414589504023894 Winsorized Mean ( 203 / 210 ) 1.34733529170987e-05 3.17592207084542e-05 0.424234367737875 Winsorized Mean ( 204 / 210 ) 1.28670367565631e-05 3.17302396081332e-05 0.405513381413764 Winsorized Mean ( 205 / 210 ) 1.28670367565631e-05 3.17302396081332e-05 0.405513381413764 Winsorized Mean ( 206 / 210 ) 1.34745852646895e-05 3.17004841049961e-05 0.425059289948378 Winsorized Mean ( 207 / 210 ) 1.40792105528013e-05 3.16412006633873e-05 0.444964484836778 Winsorized Mean ( 208 / 210 ) 1.37715984090128e-05 3.16264934591685e-05 0.435444998883377 Winsorized Mean ( 209 / 210 ) 1.40771401003912e-05 3.16115359285792e-05 0.445316549382352 Winsorized Mean ( 210 / 210 ) 0.000333821369244957 1.82982381731779e-05 18.2433612507177 Trimmed Mean ( 1 / 210 ) 6.08781920747012e-05 5.70146552355638e-05 1.06776392531314 Trimmed Mean ( 2 / 210 ) 5.9476109863571e-05 5.62645602177621e-05 1.05707944100832 Trimmed Mean ( 3 / 210 ) 5.80778729148639e-05 5.55007558543076e-05 1.04643390924839 Trimmed Mean ( 4 / 210 ) 5.67042811002671e-05 5.47221838806631e-05 1.03622109132060 Trimmed Mean ( 5 / 210 ) 5.53159937408338e-05 5.39578572930811e-05 1.02517031839081 Trimmed Mean ( 6 / 210 ) 5.53293574945527e-05 5.33640088201766e-05 1.03682910481854 Trimmed Mean ( 7 / 210 ) 5.38864721040954e-05 5.29143849209263e-05 1.01837094364078 Trimmed Mean ( 8 / 210 ) 5.2450489634639e-05 5.24584750052889e-05 0.999847777301017 Trimmed Mean ( 9 / 210 ) 5.11080503744739e-05 5.2004564134907e-05 0.982760863871344 Trimmed Mean ( 10 / 210 ) 4.97722331086892e-05 5.15440673060282e-05 0.96562486645031 Trimmed Mean ( 11 / 210 ) 4.84976831501965e-05 5.10824305335194e-05 0.94940046203113 Trimmed Mean ( 12 / 210 ) 4.86077866161035e-05 5.07654599589139e-05 0.957497216718677 Trimmed Mean ( 13 / 210 ) 4.87338313407012e-05 5.04441488540795e-05 0.966094828592991 Trimmed Mean ( 14 / 210 ) 4.88708703619853e-05 5.01188620002207e-05 0.975099362028014 Trimmed Mean ( 15 / 210 ) 4.90138330042877e-05 4.97869858754659e-05 0.98447078372826 Trimmed Mean ( 16 / 210 ) 4.91527750779907e-05 4.944832859219e-05 0.994022982725327 Trimmed Mean ( 17 / 210 ) 4.92977231271063e-05 4.91036938445576e-05 1.00395141927943 Trimmed Mean ( 18 / 210 ) 4.94637087268728e-05 4.87544194621278e-05 1.01454820450269 Trimmed Mean ( 19 / 210 ) 4.9660652012271e-05 4.84003186752616e-05 1.02603977352847 Trimmed Mean ( 20 / 210 ) 4.98587533609848e-05 4.8041300542215e-05 1.03783104949819 Trimmed Mean ( 21 / 210 ) 5.00184654249169e-05 4.76783293972623e-05 1.04908175385417 Trimmed Mean ( 22 / 210 ) 5.01891769111269e-05 4.73080166167842e-05 1.06090215782415 Trimmed Mean ( 23 / 210 ) 4.87716700221799e-05 4.70760338917424e-05 1.03601909486124 Trimmed Mean ( 24 / 210 ) 4.73409181528705e-05 4.68393075456362e-05 1.01070918067577 Trimmed Mean ( 25 / 210 ) 4.5903263245568e-05 4.65990441220322e-05 0.985068773628873 Trimmed Mean ( 26 / 210 ) 4.44521535321921e-05 4.63537991873907e-05 0.958975408951682 Trimmed Mean ( 27 / 210 ) 4.30258045354608e-05 4.61069554267129e-05 0.93317383759703 Trimmed Mean ( 28 / 210 ) 4.1620478540852e-05 4.58587007846474e-05 0.907580847881014 Trimmed Mean ( 29 / 210 ) 4.17553774392524e-05 4.57486697493742e-05 0.912712384163336 Trimmed Mean ( 30 / 210 ) 4.18877109656257e-05 4.56370795102217e-05 0.9178438106725 Trimmed Mean ( 31 / 210 ) 4.20209764182411e-05 4.55230623566922e-05 0.923070071362713 Trimmed Mean ( 32 / 210 ) 4.21587636378351e-05 4.54068375628966e-05 0.928467294808576 Trimmed Mean ( 33 / 210 ) 4.22975496059563e-05 4.52886409626898e-05 0.933954932337279 Trimmed Mean ( 34 / 210 ) 4.24373233745624e-05 4.51678615097104e-05 0.939546880372872 Trimmed Mean ( 35 / 210 ) 4.25816993215499e-05 4.50447200003607e-05 0.9453205463639 Trimmed Mean ( 36 / 210 ) 4.27271102215624e-05 4.49188780157491e-05 0.951206087707308 Trimmed Mean ( 37 / 210 ) 4.28735817399006e-05 4.47908542980061e-05 0.957194999109654 Trimmed Mean ( 38 / 210 ) 4.30211108143279e-05 4.46600110934775e-05 0.963302734616002 Trimmed Mean ( 39 / 210 ) 4.31733503170845e-05 4.45265712700072e-05 0.96960868725515 Trimmed Mean ( 40 / 210 ) 4.33230570089215e-05 4.43904844312064e-05 0.97595368836447 Trimmed Mean ( 41 / 210 ) 4.3473856450334e-05 4.42513789411924e-05 0.982429417806581 Trimmed Mean ( 42 / 210 ) 4.36221013017371e-05 4.4109490734744e-05 0.988950463383541 Trimmed Mean ( 43 / 210 ) 4.36221013017371e-05 4.39647406561069e-05 0.992206496632154 Trimmed Mean ( 44 / 210 ) 4.39255964556387e-05 4.38170692907907e-05 1.00247682390914 Trimmed Mean ( 45 / 210 ) 4.40771838056903e-05 4.36660842371338e-05 1.00941461950936 Trimmed Mean ( 46 / 210 ) 4.42336193962427e-05 4.35120118203146e-05 1.01658410047570 Trimmed Mean ( 47 / 210 ) 4.43875096556408e-05 4.33547853941047e-05 1.02382030615879 Trimmed Mean ( 48 / 210 ) 4.45388334083711e-05 4.3194323753747e-05 1.03112699859105 Trimmed Mean ( 49 / 210 ) 4.46950505802649e-05 4.30305320753559e-05 1.03868226639620 Trimmed Mean ( 50 / 210 ) 4.48487068944159e-05 4.28633345924041e-05 1.04631866187946 Trimmed Mean ( 51 / 210 ) 4.49997807135556e-05 4.26926410003673e-05 1.05404068849169 Trimmed Mean ( 52 / 210 ) 4.51520409538189e-05 4.25186891232562e-05 1.06193398443985 Trimmed Mean ( 53 / 210 ) 4.52979505707087e-05 4.23414018936303e-05 1.06982642389843 Trimmed Mean ( 54 / 210 ) 4.54337216102913e-05 4.21610329412472e-05 1.07762354099826 Trimmed Mean ( 55 / 210 ) 4.55593038869939e-05 4.19774951422044e-05 1.08532688128855 Trimmed Mean ( 56 / 210 ) 4.56935318094918e-05 4.17903458078611e-05 1.09339922717023 Trimmed Mean ( 57 / 210 ) 4.58250417029642e-05 4.1599139906595e-05 1.10158627812637 Trimmed Mean ( 58 / 210 ) 4.59539071689604e-05 4.14044709276422e-05 1.10987789819290 Trimmed Mean ( 59 / 210 ) 4.60800137590894e-05 4.12055264759949e-05 1.11829693004734 Trimmed Mean ( 60 / 210 ) 4.62071094205134e-05 4.10018189334412e-05 1.12695267240515 Trimmed Mean ( 61 / 210 ) 4.6335312049254e-05 4.07939388059146e-05 1.13583815158677 Trimmed Mean ( 62 / 210 ) 4.64645281375104e-05 4.05810226636526e-05 1.14498169557288 Trimmed Mean ( 63 / 210 ) 4.65986869205314e-05 4.03632897856307e-05 1.15448188609048 Trimmed Mean ( 64 / 210 ) 4.67186570861714e-05 4.01417339465024e-05 1.16384252729178 Trimmed Mean ( 65 / 210 ) 4.68474605483949e-05 3.99154737524482e-05 1.17366665466476 Trimmed Mean ( 66 / 210 ) 4.69696534664393e-05 3.96843640132936e-05 1.18358085443187 Trimmed Mean ( 67 / 210 ) 4.7092831811242e-05 3.94474696346923e-05 1.19381121900468 Trimmed Mean ( 68 / 210 ) 4.72249451869576e-05 3.92053940680499e-05 1.20455223852585 Trimmed Mean ( 69 / 210 ) 4.73585917031769e-05 3.8960366055083e-05 1.21555818126093 Trimmed Mean ( 70 / 210 ) 4.74973938035013e-05 3.87102785054688e-05 1.22699695371066 Trimmed Mean ( 71 / 210 ) 4.76374403529337e-05 3.84545604008862e-05 1.23879820381033 Trimmed Mean ( 72 / 210 ) 4.77787464018343e-05 3.81930222438336e-05 1.25098103252482 Trimmed Mean ( 73 / 210 ) 4.79173515771608e-05 3.79250496064482e-05 1.26347498749253 Trimmed Mean ( 74 / 210 ) 4.80532297646457e-05 3.76504150029937e-05 1.27630013535906 Trimmed Mean ( 75 / 210 ) 4.81942490742274e-05 3.73688775246956e-05 1.28968950277882 Trimmed Mean ( 76 / 210 ) 4.83326694073152e-05 3.70810563012676e-05 1.30343291773117 Trimmed Mean ( 77 / 210 ) 4.65412288866638e-05 3.69533030789751e-05 1.25946058968525 Trimmed Mean ( 78 / 210 ) 4.47387064862689e-05 3.68225223597383e-05 1.21498212559132 Trimmed Mean ( 79 / 210 ) 4.29187598517632e-05 3.66883102742557e-05 1.16982111007384 Trimmed Mean ( 80 / 210 ) 4.10914407025029e-05 3.65513373608196e-05 1.1242116888054 Trimmed Mean ( 81 / 210 ) 4.10914407025029e-05 3.64112010838211e-05 1.12853845738039 Trimmed Mean ( 82 / 210 ) 3.73976383985407e-05 3.62676737048149e-05 1.03115624958255 Trimmed Mean ( 83 / 210 ) 3.5538947708588e-05 3.61217180500379e-05 0.983866483298426 Trimmed Mean ( 84 / 210 ) 3.36641644585492e-05 3.597172130607e-05 0.935850808253332 Trimmed Mean ( 85 / 210 ) 3.17771730174925e-05 3.58180314416691e-05 0.887183682030173 Trimmed Mean ( 86 / 210 ) 3.17771730174925e-05 3.56610136864648e-05 0.891090009299246 Trimmed Mean ( 87 / 210 ) 2.79719008433418e-05 3.55002232761407e-05 0.787935913128224 Trimmed Mean ( 88 / 210 ) 2.60491881295016e-05 3.53353985810446e-05 0.737198083948472 Trimmed Mean ( 89 / 210 ) 2.41094602589019e-05 3.51659143245288e-05 0.685591736259367 Trimmed Mean ( 90 / 210 ) 2.21524903627857e-05 3.49916148973268e-05 0.633079965808552 Trimmed Mean ( 91 / 210 ) 2.21524903627857e-05 3.48140145939759e-05 0.636309561570036 Trimmed Mean ( 92 / 210 ) 1.82188796301844e-05 3.46328557210987e-05 0.526057677048136 Trimmed Mean ( 93 / 210 ) 1.82849897823864e-05 3.46407742069481e-05 0.527845875301449 Trimmed Mean ( 94 / 210 ) 1.83585954788096e-05 3.46485707205435e-05 0.529851451215117 Trimmed Mean ( 95 / 210 ) 1.84351705665665e-05 3.46559395987267e-05 0.531948369601954 Trimmed Mean ( 96 / 210 ) 1.85124449701933e-05 3.46627177457458e-05 0.534073672641128 Trimmed Mean ( 97 / 210 ) 1.85927450014196e-05 3.46690398342875e-05 0.536292469889272 Trimmed Mean ( 98 / 210 ) 1.86737851250997e-05 3.46747396953851e-05 0.538541465318771 Trimmed Mean ( 99 / 210 ) 1.87532515170295e-05 3.46799582224989e-05 0.540751848566622 Trimmed Mean ( 100 / 210 ) 1.8835801430758e-05 3.4684676498064e-05 0.543058299298521 Trimmed Mean ( 101 / 210 ) 1.89191228390074e-05 3.468872330522e-05 0.545396919700426 Trimmed Mean ( 102 / 210 ) 1.90032266078975e-05 3.46920792854723e-05 0.547768453182781 Trimmed Mean ( 103 / 210 ) 1.90904965150320e-05 3.4694883558679e-05 0.550239532660326 Trimmed Mean ( 104 / 210 ) 1.91762192091624e-05 3.46971252873529e-05 0.552674581837827 Trimmed Mean ( 105 / 210 ) 1.92627583099037e-05 3.46986206910111e-05 0.555144784613697 Trimmed Mean ( 106 / 210 ) 1.93501255360109e-05 3.46993480518133e-05 0.557650982580916 Trimmed Mean ( 107 / 210 ) 1.94383328315999e-05 3.46992849689594e-05 0.560194045755946 Trimmed Mean ( 108 / 210 ) 1.95273923715907e-05 3.46984083331558e-05 0.562774873824153 Trimmed Mean ( 109 / 210 ) 1.96173165673096e-05 3.46966942999389e-05 0.56539439745256 Trimmed Mean ( 110 / 210 ) 1.9708118072255e-05 3.46941182617948e-05 0.56805357967427 Trimmed Mean ( 111 / 210 ) 1.97998097880332e-05 3.46906548190102e-05 0.570753417349247 Trimmed Mean ( 112 / 210 ) 1.98899418152548e-05 3.46864565684414e-05 0.573420977032032 Trimmed Mean ( 113 / 210 ) 1.99809662387855e-05 3.46813212551198e-05 0.576130479337948 Trimmed Mean ( 114 / 210 ) 2.00753939215703e-05 3.46753973841019e-05 0.578952093877791 Trimmed Mean ( 115 / 210 ) 2.01707658811829e-05 3.46684833760793e-05 0.581818525557434 Trimmed Mean ( 116 / 210 ) 2.02670963529524e-05 3.46605495860059e-05 0.584730957674577 Trimmed Mean ( 117 / 210 ) 2.03669301718837e-05 3.46517466627514e-05 0.587760564282809 Trimmed Mean ( 118 / 210 ) 2.0467777532124e-05 3.46418654189036e-05 0.590839358233723 Trimmed Mean ( 119 / 210 ) 2.05696539470606e-05 3.46308732206321e-05 0.593968676908955 Trimmed Mean ( 120 / 210 ) 2.06725752483042e-05 3.46187363217962e-05 0.597149909116949 Trimmed Mean ( 121 / 210 ) 2.07739854198945e-05 3.46056156795690e-05 0.600306771370617 Trimmed Mean ( 122 / 210 ) 2.08790371489201e-05 3.45914740700366e-05 0.603589112931319 Trimmed Mean ( 123 / 210 ) 2.09851831667898e-05 3.45760878975602e-05 0.606927632442494 Trimmed Mean ( 124 / 210 ) 2.10924406612863e-05 3.45594187337693e-05 0.610323941608315 Trimmed Mean ( 125 / 210 ) 2.12008271820408e-05 3.45414267939825e-05 0.613779717568997 Trimmed Mean ( 126 / 210 ) 2.13103606501048e-05 3.45220708788676e-05 0.617296706355751 Trimmed Mean ( 127 / 210 ) 2.1421059367829e-05 3.45013083130419e-05 0.62087672657131 Trimmed Mean ( 128 / 210 ) 2.15356104875701e-05 3.44792976938053e-05 0.624595392830153 Trimmed Mean ( 129 / 210 ) 2.16487158868938e-05 3.44560085634958e-05 0.628300165615507 Trimmed Mean ( 130 / 210 ) 2.17630440472912e-05 3.44311849882927e-05 0.632073629028192 Trimmed Mean ( 131 / 210 ) 2.18786149050842e-05 3.44047780118449e-05 0.635917920980388 Trimmed Mean ( 132 / 210 ) 2.19927329106090e-05 3.43769574180649e-05 0.639752164310271 Trimmed Mean ( 133 / 210 ) 2.21053795527393e-05 3.43476778104722e-05 0.643577119673564 Trimmed Mean ( 134 / 210 ) 2.22220223248638e-05 3.43168842447243e-05 0.647553611405733 Trimmed Mean ( 135 / 210 ) 2.23399611277896e-05 3.42843087895833e-05 0.651608911379808 Trimmed Mean ( 136 / 210 ) 2.24564521101007e-05 3.4250123164531e-05 0.655660477547022 Trimmed Mean ( 137 / 210 ) 2.25742519798535e-05 3.42140422906218e-05 0.659794939987001 Trimmed Mean ( 138 / 210 ) 2.26933829215809e-05 3.41760033006854e-05 0.664015119670994 Trimmed Mean ( 139 / 210 ) 2.2813884441349e-05 3.41364086770787e-05 0.668315306895997 Trimmed Mean ( 140 / 210 ) 2.2935763121343e-05 3.40947345290792e-05 0.672706898532417 Trimmed Mean ( 141 / 210 ) 2.30590427057047e-05 3.40509105753942e-05 0.677193129818022 Trimmed Mean ( 142 / 210 ) 2.31837474875735e-05 3.40048636793583e-05 0.681777398262197 Trimmed Mean ( 143 / 210 ) 2.33099023250455e-05 3.39565177035097e-05 0.686463274254892 Trimmed Mean ( 144 / 210 ) 2.34404333835366e-05 3.39060373611839e-05 0.691335089790573 Trimmed Mean ( 145 / 210 ) 2.35695996716901e-05 3.38533594411859e-05 0.696226314337814 Trimmed Mean ( 146 / 210 ) 2.37002945549697e-05 3.37981481670545e-05 0.701230565586788 Trimmed Mean ( 147 / 210 ) 2.38325453297169e-05 3.37403142630724e-05 0.706352203595232 Trimmed Mean ( 148 / 210 ) 2.39663799460778e-05 3.36797645981447e-05 0.71159582710973 Trimmed Mean ( 149 / 210 ) 2.41018447523866e-05 3.36169329110959e-05 0.716955494307792 Trimmed Mean ( 150 / 210 ) 2.42389515563477e-05 3.35512018189275e-05 0.72244659631458 Trimmed Mean ( 151 / 210 ) 2.43747357585171e-05 3.34827436313625e-05 0.727979045769888 Trimmed Mean ( 152 / 210 ) 2.45122099848665e-05 3.34117301432020e-05 0.733640846487377 Trimmed Mean ( 153 / 210 ) 2.46483617996257e-05 3.33377953283242e-05 0.739351884456623 Trimmed Mean ( 154 / 210 ) 2.47801461695932e-05 3.32611184068541e-05 0.745018428619247 Trimmed Mean ( 155 / 210 ) 2.49135778441852e-05 3.31810174765124e-05 0.750838272570172 Trimmed Mean ( 156 / 210 ) 2.50456294843662e-05 3.30976573727114e-05 0.756719099552226 Trimmed Mean ( 157 / 210 ) 2.51762809482840e-05 3.30109147778193e-05 0.762665352285254 Trimmed Mean ( 158 / 210 ) 2.53055115634375e-05 3.29206605009652e-05 0.76868176939207 Trimmed Mean ( 159 / 210 ) 2.54395597062776e-05 3.28267525011176e-05 0.774964252263806 Trimmed Mean ( 160 / 210 ) 2.55753375025737e-05 3.27287447534003e-05 0.781433498145894 Trimmed Mean ( 161 / 210 ) 2.57128786468736e-05 3.26264738506579e-05 0.788098608650444 Trimmed Mean ( 162 / 210 ) 2.57128786468736e-05 3.25200894779395e-05 0.790676749653974 Trimmed Mean ( 163 / 210 ) 2.59870293471426e-05 3.24091002736771e-05 0.80184359108079 Trimmed Mean ( 164 / 210 ) 2.61268917598908e-05 3.22939718211783e-05 0.809033088421685 Trimmed Mean ( 165 / 210 ) 2.62686190048089e-05 3.21738713918231e-05 0.816458134145615 Trimmed Mean ( 166 / 210 ) 2.64155447382328e-05 3.20489233222198e-05 0.824225652532879 Trimmed Mean ( 167 / 210 ) 2.65677677670274e-05 3.19189228685047e-05 0.83235163907246 Trimmed Mean ( 168 / 210 ) 2.67220618574381e-05 3.17833100353622e-05 0.840757675261233 Trimmed Mean ( 169 / 210 ) 2.68818201075340e-05 3.16421890345566e-05 0.849556270527812 Trimmed Mean ( 170 / 210 ) 2.70438280198092e-05 3.14956857982111e-05 0.858651822763145 Trimmed Mean ( 171 / 210 ) 2.7211469718617e-05 3.13431903195573e-05 0.868178045731286 Trimmed Mean ( 172 / 210 ) 2.7211469718617e-05 3.11840651074008e-05 0.87260816140866 Trimmed Mean ( 173 / 210 ) 2.75606789623250e-05 3.10187497360988e-05 0.888516758309266 Trimmed Mean ( 174 / 210 ) 2.77458793289416e-05 3.08465793354184e-05 0.899479939971286 Trimmed Mean ( 175 / 210 ) 2.7933745697159e-05 3.06676343087399e-05 0.910854271181856 Trimmed Mean ( 176 / 210 ) 2.81277862207037e-05 3.04811819251854e-05 0.922791848745956 Trimmed Mean ( 177 / 210 ) 2.83246389257490e-05 3.0286456083377e-05 0.935224604944627 Trimmed Mean ( 178 / 210 ) 2.85243791492640e-05 3.008387832992e-05 0.94816163117157 Trimmed Mean ( 179 / 210 ) 2.87270567290070e-05 2.98722029380097e-05 0.961665157023102 Trimmed Mean ( 180 / 210 ) 2.89327369395611e-05 2.96509552665587e-05 0.975777565324934 Trimmed Mean ( 181 / 210 ) 2.91414870040041e-05 2.94196256818479e-05 0.990545811804281 Trimmed Mean ( 182 / 210 ) 2.91414870040041e-05 2.91776659439766e-05 0.99876004680971 Trimmed Mean ( 183 / 210 ) 2.95684900076694e-05 2.89254207082792e-05 1.02223197739717 Trimmed Mean ( 184 / 210 ) 2.97868880289494e-05 2.86613622425408e-05 1.03926979383897 Trimmed Mean ( 185 / 210 ) 3.00086460197876e-05 2.83848029458808e-05 1.05720818555629 Trimmed Mean ( 186 / 210 ) 3.02375602870307e-05 2.80954853635114e-05 1.07624267371801 Trimmed Mean ( 187 / 210 ) 3.04700513396994e-05 2.77921346307713e-05 1.09635520065318 Trimmed Mean ( 188 / 210 ) 3.06949397722868e-05 2.74754990094758e-05 1.11717496965935 Trimmed Mean ( 189 / 210 ) 3.09196650822941e-05 2.71447118479082e-05 1.13906772175505 Trimmed Mean ( 190 / 210 ) 3.11479859972615e-05 2.67971759245379e-05 1.16236076835020 Trimmed Mean ( 191 / 210 ) 3.13800268968095e-05 2.64328841839012e-05 1.18715864218561 Trimmed Mean ( 192 / 210 ) 3.16158784022794e-05 2.60506661951950e-05 1.21363032198044 Trimmed Mean ( 193 / 210 ) 3.18555963258718e-05 2.56480124168656e-05 1.24202982313453 Trimmed Mean ( 194 / 210 ) 3.20993146223084e-05 2.52246124702838e-05 1.27253945566551 Trimmed Mean ( 195 / 210 ) 3.23470948903523e-05 2.47775475669953e-05 1.30550026401483 Trimmed Mean ( 196 / 210 ) 3.25951329998114e-05 2.43068763681124e-05 1.34098402880644 Trimmed Mean ( 197 / 210 ) 3.28513925659717e-05 2.38091694427704e-05 1.37977902357896 Trimmed Mean ( 198 / 210 ) 3.31120716896219e-05 2.32827109318585e-05 1.42217423849530 Trimmed Mean ( 199 / 210 ) 3.33772845552043e-05 2.27247670001428e-05 1.46876245441789 Trimmed Mean ( 200 / 210 ) 3.36471098184491e-05 2.21306071108252e-05 1.52038801511191 Trimmed Mean ( 201 / 210 ) 3.36471098184491e-05 2.14970891568303e-05 1.56519376055889 Trimmed Mean ( 202 / 210 ) 3.42135916042395e-05 2.08196513863381e-05 1.64333162786244 Trimmed Mean ( 203 / 210 ) 3.45065435018366e-05 2.00937298222037e-05 1.71727916156743 Trimmed Mean ( 204 / 210 ) 3.48005769210081e-05 1.93118369748771e-05 1.80203348683403 Trimmed Mean ( 205 / 210 ) 3.51084675249208e-05 1.84665284093339e-05 1.90119478586864 Trimmed Mean ( 206 / 210 ) 3.54220074977126e-05 1.75452079954502e-05 2.01889926337142 Trimmed Mean ( 207 / 210 ) 3.57327517445394e-05 1.65359873119577e-05 2.16090827057540 Trimmed Mean ( 208 / 210 ) 3.60407053982212e-05 1.54224870950814e-05 2.33689321158293 Trimmed Mean ( 209 / 210 ) 3.63588643560223e-05 1.41740538550221e-05 2.56517046766686 Trimmed Mean ( 210 / 210 ) 3.66786977185434e-05 1.27488928224603e-05 2.87701043763775 Median -3.99680288865055e-15 Midrange 0.0009751425034612 Midmean - Weighted Average at Xnp 2.21021038753996e-05 Midmean - Weighted Average at X(n+1)p 4.32203637673885e-05 Midmean - Empirical Distribution Function 4.32203637673885e-05 Midmean - Empirical Distribution Function - Averaging 4.32203637673885e-05 Midmean - Empirical Distribution Function - Interpolation 2.21021038753996e-05 Midmean - Closest Observation 4.32203637673885e-05 Midmean - True Basic - Statistics Graphics Toolkit 4.32203637673885e-05 Midmean - MS Excel (old versions) 4.32203637673885e-05 Number of observations 630

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Nov/19/t1290187028acg4kz4zjkjpevm/1oxxk1290187063.png (open in new window) http://www.freestatistics.org/blog/date/2010/Nov/19/t1290187028acg4kz4zjkjpevm/1oxxk1290187063.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Nov/19/t1290187028acg4kz4zjkjpevm/2y7e51290187063.png (open in new window) http://www.freestatistics.org/blog/date/2010/Nov/19/t1290187028acg4kz4zjkjpevm/2y7e51290187063.ps (open in new window)

Parameters (Session):

Parameters (R input):

R code (references can be found in the software module):

geomean <- function(x) { return(exp(mean(log(x)))) } harmean <- function(x) { return(1/mean(1/x)) } quamean <- function(x) { return(sqrt(mean(x*x))) } winmean <- function(x) { x <-sort(x[!is.na(x)]) n<-length(x) denom <- 3 nodenom <- n/denom if (nodenom>40) denom <- n/40 sqrtn = sqrt(n) roundnodenom = floor(nodenom) win <- array(NA,dim=c(roundnodenom,2)) for (j in 1:roundnodenom) { win[j,1] <- (j*x[j+1]+sum(x[(j+1):(n-j)])+j*x[n-j])/n win[j,2] <- sd(c(rep(x[j+1],j),x[(j+1):(n-j)],rep(x[n-j],j)))/sqrtn } return(win) } trimean <- function(x) { x <-sort(x[!is.na(x)]) n<-length(x) denom <- 3 nodenom <- n/denom if (nodenom>40) denom <- n/40 sqrtn = sqrt(n) roundnodenom = floor(nodenom) tri <- array(NA,dim=c(roundnodenom,2)) for (j in 1:roundnodenom) { tri[j,1] <- mean(x,trim=j/n) tri[j,2] <- sd(x[(j+1):(n-j)]) / sqrt(n-j*2) } return(tri) } midrange <- function(x) { return((max(x)+min(x))/2) } 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] } } } } midmean <- function(x,def) { x <-sort(x[!is.na(x)]) n<-length(x) if (def==1) { qvalue1 <- q1(x,n,0.25,i,f) qvalue3 <- q1(x,n,0.75,i,f) } if (def==2) { qvalue1 <- q2(x,n,0.25,i,f) qvalue3 <- q2(x,n,0.75,i,f) } if (def==3) { qvalue1 <- q3(x,n,0.25,i,f) qvalue3 <- q3(x,n,0.75,i,f) } if (def==4) { qvalue1 <- q4(x,n,0.25,i,f) qvalue3 <- q4(x,n,0.75,i,f) } if (def==5) { qvalue1 <- q5(x,n,0.25,i,f) qvalue3 <- q5(x,n,0.75,i,f) } if (def==6) { qvalue1 <- q6(x,n,0.25,i,f) qvalue3 <- q6(x,n,0.75,i,f) } if (def==7) { qvalue1 <- q7(x,n,0.25,i,f) qvalue3 <- q7(x,n,0.75,i,f) } if (def==8) { qvalue1 <- q8(x,n,0.25,i,f) qvalue3 <- q8(x,n,0.75,i,f) } midm <- 0 myn <- 0 roundno4 <- round(n/4) round3no4 <- round(3*n/4) for (i in 1:n) { if ((x[i]>=qvalue1) & (x[i]<=qvalue3)){ midm = midm + x[i] myn = myn + 1 } } midm = midm / myn return(midm) } (arm <- mean(x)) sqrtn <- sqrt(length(x)) (armse <- sd(x) / sqrtn) (armose <- arm / armse) (geo <- geomean(x)) (har <- harmean(x)) (qua <- quamean(x)) (win <- winmean(x)) (tri <- trimean(x)) (midr <- midrange(x)) midm <- array(NA,dim=8) for (j in 1:8) midm[j] <- midmean(x,j) midm bitmap(file='test1.png') lb <- win[,1] - 2*win[,2] ub <- win[,1] + 2*win[,2] if ((ylimmin == '') | (ylimmax == '')) plot(win[,1],type='b',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(win[,1],type='l',main=main, xlab='j', pch=19, ylab='Winsorized Mean(j/n)', ylim=c(ylimmin,ylimmax)) lines(ub,lty=3) lines(lb,lty=3) grid() dev.off() bitmap(file='test2.png') lb <- tri[,1] - 2*tri[,2] ub <- tri[,1] + 2*tri[,2] if ((ylimmin == '') | (ylimmax == '')) plot(tri[,1],type='b',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(min(lb),max(ub))) else plot(tri[,1],type='l',main=main, xlab='j', pch=19, ylab='Trimmed Mean(j/n)', ylim=c(ylimmin,ylimmax)) lines(ub,lty=3) lines(lb,lty=3) grid() dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Central Tendency - Ungrouped Data',4,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Measure',header=TRUE) a<-table.element(a,'Value',header=TRUE) a<-table.element(a,'S.E.',header=TRUE) a<-table.element(a,'Value/S.E.',header=TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm', 'Arithmetic Mean', 'click to view the definition of the Arithmetic Mean'),header=TRUE) a<-table.element(a,arm) a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean_standard_error.htm', armse, 'click to view the definition of the Standard Error of the Arithmetic Mean')) a<-table.element(a,armose) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/geometric_mean.htm', 'Geometric Mean', 'click to view the definition of the Geometric Mean'),header=TRUE) a<-table.element(a,geo) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/harmonic_mean.htm', 'Harmonic Mean', 'click to view the definition of the Harmonic Mean'),header=TRUE) a<-table.element(a,har) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/quadratic_mean.htm', 'Quadratic Mean', 'click to view the definition of the Quadratic Mean'),header=TRUE) a<-table.element(a,qua) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) for (j in 1:length(win[,1])) { a<-table.row.start(a) mylabel <- paste('Winsorized Mean (',j) mylabel <- paste(mylabel,'/') mylabel <- paste(mylabel,length(win[,1])) mylabel <- paste(mylabel,')') a<-table.element(a,hyperlink('http://www.xycoon.com/winsorized_mean.htm', mylabel, 'click to view the definition of the Winsorized Mean'),header=TRUE) a<-table.element(a,win[j,1]) a<-table.element(a,win[j,2]) a<-table.element(a,win[j,1]/win[j,2]) a<-table.row.end(a) } for (j in 1:length(tri[,1])) { a<-table.row.start(a) mylabel <- paste('Trimmed Mean (',j) mylabel <- paste(mylabel,'/') mylabel <- paste(mylabel,length(tri[,1])) mylabel <- paste(mylabel,')') a<-table.element(a,hyperlink('http://www.xycoon.com/arithmetic_mean.htm', mylabel, 'click to view the definition of the Trimmed Mean'),header=TRUE) a<-table.element(a,tri[j,1]) a<-table.element(a,tri[j,2]) a<-table.element(a,tri[j,1]/tri[j,2]) a<-table.row.end(a) } a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/median_1.htm', 'Median', 'click to view the definition of the Median'),header=TRUE) a<-table.element(a,median(x)) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,hyperlink('http://www.xycoon.com/midrange.htm', 'Midrange', 'click to view the definition of the Midrange'),header=TRUE) a<-table.element(a,midr) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_1.htm','Weighted Average at Xnp',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[1]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_2.htm','Weighted Average at X(n+1)p',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[2]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_3.htm','Empirical Distribution Function',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[3]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_4.htm','Empirical Distribution Function - Averaging',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[4]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_5.htm','Empirical Distribution Function - Interpolation',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[5]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_6.htm','Closest Observation',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[6]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_7.htm','True Basic - Statistics Graphics Toolkit',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[7]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) mymid <- hyperlink('http://www.xycoon.com/midmean.htm', 'Midmean', 'click to view the definition of the Midmean') mylabel <- paste(mymid,hyperlink('http://www.xycoon.com/method_8.htm','MS Excel (old versions)',''),sep=' - ') a<-table.element(a,mylabel,header=TRUE) a<-table.element(a,midm[8]) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Number of observations',header=TRUE) a<-table.element(a,length(x)) a<-table.element(a,'') a<-table.element(a,'') a<-table.row.end(a) a<-table.end(a) table.save(a,file='mytable.tab')

Copyright

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.

Privacy Policy

We may request personal information to be submitted to our servers in order to be able to:

• personalize online software applications according to your needs
• enforce strict security rules with respect to the data that you upload (e.g. statistical data)
• manage user sessions of online applications
• alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.

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