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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationSat, 17 Dec 2011 06:56:02 -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/2011/Dec/17/t1324123045gmh3awz902olb6t.htm/, Retrieved Thu, 28 Mar 2024 17:55:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156217, Retrieved Thu, 28 Mar 2024 17:55:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [Central Tendency ...] [2011-12-17 11:56:02] [5959e8d69ed0f77745135d9c4c7e0d16] [Current]
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Dataseries X:
-0.162637151291579
-0.180394228269027
-0.364008335827929
-0.0270443217228204
-0.275283186461801
-0.185095913822426
-0.247007799961421
-0.220465409663496
-0.23063180956395
-0.193800129123004
0.0674648416370502
-0.0085671686385985
-0.333529742913951
0.0330930195427012
-0.0130726942059372
0.132787893099404
0.0219102352292198
-0.189134130859165
-0.169177671538496
0.120224579952096
-0.124484963403928
-0.147367463580677
0.0984383251674323
0.0217774561844254
-0.0744395264990117
-0.0446350398685368
-0.128084424821365
-0.0333288297285485
0.100330115888202
-0.13017731383983
-0.106962718698316
0.0778948024606463
0.0139494836972177
0.095391205127304
0.113695891822296
-0.134295597649715
0.0458095202906186
-0.0023515808296307
0.0313483588680372
0.137702034076043
0.0921371624665468
0.107585129709321
0.22267397135679
-0.121964006947163
0.157118631984031
0.387817135281783
-0.122794068789931
-0.198797205144297
0.0247956740720478
0.497297664258373
0.0653148798311518
-0.0446084464965516
0.187287550034541
-0.0634911901876058
0.15402676227634
0.0655254521706966
-0.000116440314518145
0.392274080407036
0.0458230530431735
0.0592643446680893
-0.0552469241494706
0.0409419991182435
0.354400172876773
0.254637001556926
0.11225700665814




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156217&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156217&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156217&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 time2 seconds
R Server'AstonUniversity' @ aston.wessa.net







Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean6.24041750432522e-190.02136424564749552.92096318648011e-17
Geometric MeanNaN
Harmonic Mean-0.00726026023411013
Quadratic Mean0.170913965179964
Winsorized Mean ( 1 / 21 )-0.001146846014420910.0207084932617343-0.055380466358703
Winsorized Mean ( 2 / 21 )0.0005082189494836160.0202518635526320.0250949226555285
Winsorized Mean ( 3 / 21 )0.0002709154461930.01953469621326120.0138684238155231
Winsorized Mean ( 4 / 21 )-0.004860603379799370.0177564860202779-0.273736784082648
Winsorized Mean ( 5 / 21 )-0.006537267249005680.0170629783377879-0.383125801345488
Winsorized Mean ( 6 / 21 )-0.007803564184671830.0160260705325781-0.486929354816489
Winsorized Mean ( 7 / 21 )-0.01051437794166440.0153386472838337-0.685482738282024
Winsorized Mean ( 8 / 21 )-0.01032063904244620.0151674333335659-0.680447298858825
Winsorized Mean ( 9 / 21 )-0.01202184828047730.0146930056056349-0.818202116241406
Winsorized Mean ( 10 / 21 )-0.01205453373020660.0144411234710973-0.834736560097467
Winsorized Mean ( 11 / 21 )-0.01228244635458420.0137726620277922-0.891799009501513
Winsorized Mean ( 12 / 21 )-0.01228026196373180.0133798870966754-0.9178150663755
Winsorized Mean ( 13 / 21 )-0.009514101454382630.0128122842415905-0.742576520703352
Winsorized Mean ( 14 / 21 )-0.007704873058228750.012198114988029-0.631644566868745
Winsorized Mean ( 15 / 21 )-0.008428733830051990.0118002193962164-0.714286196471443
Winsorized Mean ( 16 / 21 )-0.00837923271061930.0116504514326622-0.719219573511803
Winsorized Mean ( 17 / 21 )-0.008234774196553950.0113860349489159-0.723234579333343
Winsorized Mean ( 18 / 21 )-0.008667645963349070.0111838225664497-0.775016405334532
Winsorized Mean ( 19 / 21 )-0.0125881638879570.0105729576096766-1.19060005276443
Winsorized Mean ( 20 / 21 )-0.01118160160326440.00940799429200589-1.18852129967443
Winsorized Mean ( 21 / 21 )-0.001300680720311150.00770408625085386-0.168829979047417
Trimmed Mean ( 1 / 21 )-0.002115703625880060.0197180840717653-0.107297626796793
Trimmed Mean ( 2 / 21 )-0.003148092883992280.018504321665258-0.170127440548271
Trimmed Mean ( 3 / 21 )-0.005162162961754420.0173160336005152-0.29811463068545
Trimmed Mean ( 4 / 21 )-0.007227368204541460.0162033228072158-0.446042351345546
Trimmed Mean ( 5 / 21 )-0.007926639630033440.0155650343716789-0.50925937204843
Trimmed Mean ( 6 / 21 )-0.008267429081983640.0150131443410844-0.550679384288561
Trimmed Mean ( 7 / 21 )-0.008365962475203470.0146413785072529-0.571391721828598
Trimmed Mean ( 8 / 21 )-0.00795882834890620.0143579173327581-0.554316351351869
Trimmed Mean ( 9 / 21 )-0.00755053660667190.0140336692003003-0.53803011164823
Trimmed Mean ( 10 / 21 )-0.006832918683715470.0137280367365576-0.497734586149489
Trimmed Mean ( 11 / 21 )-0.006043604781338910.0133838574122717-0.451559262413952
Trimmed Mean ( 12 / 21 )-0.005144436927101780.0130877663418839-0.393072186094764
Trimmed Mean ( 13 / 21 )-0.004153350116458720.0127772809652978-0.325057430273228
Trimmed Mean ( 14 / 21 )-0.003428924259982510.0124922988933496-0.274483046655884
Trimmed Mean ( 15 / 21 )-0.002861706562255970.0122442634486401-0.233718146808889
Trimmed Mean ( 16 / 21 )-0.002130682779616090.011978979136929-0.177868477376974
Trimmed Mean ( 17 / 21 )-0.001311820389464460.0116181382463865-0.11291141159148
Trimmed Mean ( 18 / 21 )-0.0003990577171301470.0111519508074383-0.0357836690656829
Trimmed Mean ( 19 / 21 )0.000706823426911480.01050089444540170.067310782961064
Trimmed Mean ( 20 / 21 )0.002526137480525070.00968846583599250.260736583406271
Trimmed Mean ( 21 / 21 )0.004463100611930110.008894271952762940.50179493449643
Median0.0139494836972177
Midrange0.066644664215222
Midmean - Weighted Average at Xnp-0.00527346427796136
Midmean - Weighted Average at X(n+1)p-0.0021306827796161
Midmean - Empirical Distribution Function-0.0021306827796161
Midmean - Empirical Distribution Function - Averaging-0.0021306827796161
Midmean - Empirical Distribution Function - Interpolation-0.0021306827796161
Midmean - Closest Observation-0.00589676016374003
Midmean - True Basic - Statistics Graphics Toolkit-0.0021306827796161
Midmean - MS Excel (old versions)-0.0021306827796161
Number of observations65

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 6.24041750432522e-19 & 0.0213642456474955 & 2.92096318648011e-17 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & -0.00726026023411013 &  &  \tabularnewline
Quadratic Mean & 0.170913965179964 &  &  \tabularnewline
Winsorized Mean ( 1 / 21 ) & -0.00114684601442091 & 0.0207084932617343 & -0.055380466358703 \tabularnewline
Winsorized Mean ( 2 / 21 ) & 0.000508218949483616 & 0.020251863552632 & 0.0250949226555285 \tabularnewline
Winsorized Mean ( 3 / 21 ) & 0.000270915446193 & 0.0195346962132612 & 0.0138684238155231 \tabularnewline
Winsorized Mean ( 4 / 21 ) & -0.00486060337979937 & 0.0177564860202779 & -0.273736784082648 \tabularnewline
Winsorized Mean ( 5 / 21 ) & -0.00653726724900568 & 0.0170629783377879 & -0.383125801345488 \tabularnewline
Winsorized Mean ( 6 / 21 ) & -0.00780356418467183 & 0.0160260705325781 & -0.486929354816489 \tabularnewline
Winsorized Mean ( 7 / 21 ) & -0.0105143779416644 & 0.0153386472838337 & -0.685482738282024 \tabularnewline
Winsorized Mean ( 8 / 21 ) & -0.0103206390424462 & 0.0151674333335659 & -0.680447298858825 \tabularnewline
Winsorized Mean ( 9 / 21 ) & -0.0120218482804773 & 0.0146930056056349 & -0.818202116241406 \tabularnewline
Winsorized Mean ( 10 / 21 ) & -0.0120545337302066 & 0.0144411234710973 & -0.834736560097467 \tabularnewline
Winsorized Mean ( 11 / 21 ) & -0.0122824463545842 & 0.0137726620277922 & -0.891799009501513 \tabularnewline
Winsorized Mean ( 12 / 21 ) & -0.0122802619637318 & 0.0133798870966754 & -0.9178150663755 \tabularnewline
Winsorized Mean ( 13 / 21 ) & -0.00951410145438263 & 0.0128122842415905 & -0.742576520703352 \tabularnewline
Winsorized Mean ( 14 / 21 ) & -0.00770487305822875 & 0.012198114988029 & -0.631644566868745 \tabularnewline
Winsorized Mean ( 15 / 21 ) & -0.00842873383005199 & 0.0118002193962164 & -0.714286196471443 \tabularnewline
Winsorized Mean ( 16 / 21 ) & -0.0083792327106193 & 0.0116504514326622 & -0.719219573511803 \tabularnewline
Winsorized Mean ( 17 / 21 ) & -0.00823477419655395 & 0.0113860349489159 & -0.723234579333343 \tabularnewline
Winsorized Mean ( 18 / 21 ) & -0.00866764596334907 & 0.0111838225664497 & -0.775016405334532 \tabularnewline
Winsorized Mean ( 19 / 21 ) & -0.012588163887957 & 0.0105729576096766 & -1.19060005276443 \tabularnewline
Winsorized Mean ( 20 / 21 ) & -0.0111816016032644 & 0.00940799429200589 & -1.18852129967443 \tabularnewline
Winsorized Mean ( 21 / 21 ) & -0.00130068072031115 & 0.00770408625085386 & -0.168829979047417 \tabularnewline
Trimmed Mean ( 1 / 21 ) & -0.00211570362588006 & 0.0197180840717653 & -0.107297626796793 \tabularnewline
Trimmed Mean ( 2 / 21 ) & -0.00314809288399228 & 0.018504321665258 & -0.170127440548271 \tabularnewline
Trimmed Mean ( 3 / 21 ) & -0.00516216296175442 & 0.0173160336005152 & -0.29811463068545 \tabularnewline
Trimmed Mean ( 4 / 21 ) & -0.00722736820454146 & 0.0162033228072158 & -0.446042351345546 \tabularnewline
Trimmed Mean ( 5 / 21 ) & -0.00792663963003344 & 0.0155650343716789 & -0.50925937204843 \tabularnewline
Trimmed Mean ( 6 / 21 ) & -0.00826742908198364 & 0.0150131443410844 & -0.550679384288561 \tabularnewline
Trimmed Mean ( 7 / 21 ) & -0.00836596247520347 & 0.0146413785072529 & -0.571391721828598 \tabularnewline
Trimmed Mean ( 8 / 21 ) & -0.0079588283489062 & 0.0143579173327581 & -0.554316351351869 \tabularnewline
Trimmed Mean ( 9 / 21 ) & -0.0075505366066719 & 0.0140336692003003 & -0.53803011164823 \tabularnewline
Trimmed Mean ( 10 / 21 ) & -0.00683291868371547 & 0.0137280367365576 & -0.497734586149489 \tabularnewline
Trimmed Mean ( 11 / 21 ) & -0.00604360478133891 & 0.0133838574122717 & -0.451559262413952 \tabularnewline
Trimmed Mean ( 12 / 21 ) & -0.00514443692710178 & 0.0130877663418839 & -0.393072186094764 \tabularnewline
Trimmed Mean ( 13 / 21 ) & -0.00415335011645872 & 0.0127772809652978 & -0.325057430273228 \tabularnewline
Trimmed Mean ( 14 / 21 ) & -0.00342892425998251 & 0.0124922988933496 & -0.274483046655884 \tabularnewline
Trimmed Mean ( 15 / 21 ) & -0.00286170656225597 & 0.0122442634486401 & -0.233718146808889 \tabularnewline
Trimmed Mean ( 16 / 21 ) & -0.00213068277961609 & 0.011978979136929 & -0.177868477376974 \tabularnewline
Trimmed Mean ( 17 / 21 ) & -0.00131182038946446 & 0.0116181382463865 & -0.11291141159148 \tabularnewline
Trimmed Mean ( 18 / 21 ) & -0.000399057717130147 & 0.0111519508074383 & -0.0357836690656829 \tabularnewline
Trimmed Mean ( 19 / 21 ) & 0.00070682342691148 & 0.0105008944454017 & 0.067310782961064 \tabularnewline
Trimmed Mean ( 20 / 21 ) & 0.00252613748052507 & 0.0096884658359925 & 0.260736583406271 \tabularnewline
Trimmed Mean ( 21 / 21 ) & 0.00446310061193011 & 0.00889427195276294 & 0.50179493449643 \tabularnewline
Median & 0.0139494836972177 &  &  \tabularnewline
Midrange & 0.066644664215222 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & -0.00527346427796136 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & -0.0021306827796161 &  &  \tabularnewline
Midmean - Empirical Distribution Function & -0.0021306827796161 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & -0.0021306827796161 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & -0.0021306827796161 &  &  \tabularnewline
Midmean - Closest Observation & -0.00589676016374003 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & -0.0021306827796161 &  &  \tabularnewline
Midmean - MS Excel (old versions) & -0.0021306827796161 &  &  \tabularnewline
Number of observations & 65 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156217&T=1

[TABLE]
[ROW][C]Central Tendency - Ungrouped Data[/C][/ROW]
[ROW][C]Measure[/C][C]Value[/C][C]S.E.[/C][C]Value/S.E.[/C][/ROW]
[ROW][C]Arithmetic Mean[/C][C]6.24041750432522e-19[/C][C]0.0213642456474955[/C][C]2.92096318648011e-17[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]-0.00726026023411013[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]0.170913965179964[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 21 )[/C][C]-0.00114684601442091[/C][C]0.0207084932617343[/C][C]-0.055380466358703[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 21 )[/C][C]0.000508218949483616[/C][C]0.020251863552632[/C][C]0.0250949226555285[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 21 )[/C][C]0.000270915446193[/C][C]0.0195346962132612[/C][C]0.0138684238155231[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 21 )[/C][C]-0.00486060337979937[/C][C]0.0177564860202779[/C][C]-0.273736784082648[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 21 )[/C][C]-0.00653726724900568[/C][C]0.0170629783377879[/C][C]-0.383125801345488[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 21 )[/C][C]-0.00780356418467183[/C][C]0.0160260705325781[/C][C]-0.486929354816489[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 21 )[/C][C]-0.0105143779416644[/C][C]0.0153386472838337[/C][C]-0.685482738282024[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 21 )[/C][C]-0.0103206390424462[/C][C]0.0151674333335659[/C][C]-0.680447298858825[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 21 )[/C][C]-0.0120218482804773[/C][C]0.0146930056056349[/C][C]-0.818202116241406[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 21 )[/C][C]-0.0120545337302066[/C][C]0.0144411234710973[/C][C]-0.834736560097467[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 21 )[/C][C]-0.0122824463545842[/C][C]0.0137726620277922[/C][C]-0.891799009501513[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 21 )[/C][C]-0.0122802619637318[/C][C]0.0133798870966754[/C][C]-0.9178150663755[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 21 )[/C][C]-0.00951410145438263[/C][C]0.0128122842415905[/C][C]-0.742576520703352[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 21 )[/C][C]-0.00770487305822875[/C][C]0.012198114988029[/C][C]-0.631644566868745[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 21 )[/C][C]-0.00842873383005199[/C][C]0.0118002193962164[/C][C]-0.714286196471443[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 21 )[/C][C]-0.0083792327106193[/C][C]0.0116504514326622[/C][C]-0.719219573511803[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 21 )[/C][C]-0.00823477419655395[/C][C]0.0113860349489159[/C][C]-0.723234579333343[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 21 )[/C][C]-0.00866764596334907[/C][C]0.0111838225664497[/C][C]-0.775016405334532[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 21 )[/C][C]-0.012588163887957[/C][C]0.0105729576096766[/C][C]-1.19060005276443[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 21 )[/C][C]-0.0111816016032644[/C][C]0.00940799429200589[/C][C]-1.18852129967443[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 21 )[/C][C]-0.00130068072031115[/C][C]0.00770408625085386[/C][C]-0.168829979047417[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 21 )[/C][C]-0.00211570362588006[/C][C]0.0197180840717653[/C][C]-0.107297626796793[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 21 )[/C][C]-0.00314809288399228[/C][C]0.018504321665258[/C][C]-0.170127440548271[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 21 )[/C][C]-0.00516216296175442[/C][C]0.0173160336005152[/C][C]-0.29811463068545[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 21 )[/C][C]-0.00722736820454146[/C][C]0.0162033228072158[/C][C]-0.446042351345546[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 21 )[/C][C]-0.00792663963003344[/C][C]0.0155650343716789[/C][C]-0.50925937204843[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 21 )[/C][C]-0.00826742908198364[/C][C]0.0150131443410844[/C][C]-0.550679384288561[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 21 )[/C][C]-0.00836596247520347[/C][C]0.0146413785072529[/C][C]-0.571391721828598[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 21 )[/C][C]-0.0079588283489062[/C][C]0.0143579173327581[/C][C]-0.554316351351869[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 21 )[/C][C]-0.0075505366066719[/C][C]0.0140336692003003[/C][C]-0.53803011164823[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 21 )[/C][C]-0.00683291868371547[/C][C]0.0137280367365576[/C][C]-0.497734586149489[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 21 )[/C][C]-0.00604360478133891[/C][C]0.0133838574122717[/C][C]-0.451559262413952[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 21 )[/C][C]-0.00514443692710178[/C][C]0.0130877663418839[/C][C]-0.393072186094764[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 21 )[/C][C]-0.00415335011645872[/C][C]0.0127772809652978[/C][C]-0.325057430273228[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 21 )[/C][C]-0.00342892425998251[/C][C]0.0124922988933496[/C][C]-0.274483046655884[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 21 )[/C][C]-0.00286170656225597[/C][C]0.0122442634486401[/C][C]-0.233718146808889[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 21 )[/C][C]-0.00213068277961609[/C][C]0.011978979136929[/C][C]-0.177868477376974[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 21 )[/C][C]-0.00131182038946446[/C][C]0.0116181382463865[/C][C]-0.11291141159148[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 21 )[/C][C]-0.000399057717130147[/C][C]0.0111519508074383[/C][C]-0.0357836690656829[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 21 )[/C][C]0.00070682342691148[/C][C]0.0105008944454017[/C][C]0.067310782961064[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 21 )[/C][C]0.00252613748052507[/C][C]0.0096884658359925[/C][C]0.260736583406271[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 21 )[/C][C]0.00446310061193011[/C][C]0.00889427195276294[/C][C]0.50179493449643[/C][/ROW]
[ROW][C]Median[/C][C]0.0139494836972177[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]0.066644664215222[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]-0.00527346427796136[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]-0.0021306827796161[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]-0.0021306827796161[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]-0.0021306827796161[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]-0.0021306827796161[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]-0.00589676016374003[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]-0.0021306827796161[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]-0.0021306827796161[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]65[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156217&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156217&T=1

As an alternative you can also use a QR Code:  

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

Central Tendency - Ungrouped Data
MeasureValueS.E.Value/S.E.
Arithmetic Mean6.24041750432522e-190.02136424564749552.92096318648011e-17
Geometric MeanNaN
Harmonic Mean-0.00726026023411013
Quadratic Mean0.170913965179964
Winsorized Mean ( 1 / 21 )-0.001146846014420910.0207084932617343-0.055380466358703
Winsorized Mean ( 2 / 21 )0.0005082189494836160.0202518635526320.0250949226555285
Winsorized Mean ( 3 / 21 )0.0002709154461930.01953469621326120.0138684238155231
Winsorized Mean ( 4 / 21 )-0.004860603379799370.0177564860202779-0.273736784082648
Winsorized Mean ( 5 / 21 )-0.006537267249005680.0170629783377879-0.383125801345488
Winsorized Mean ( 6 / 21 )-0.007803564184671830.0160260705325781-0.486929354816489
Winsorized Mean ( 7 / 21 )-0.01051437794166440.0153386472838337-0.685482738282024
Winsorized Mean ( 8 / 21 )-0.01032063904244620.0151674333335659-0.680447298858825
Winsorized Mean ( 9 / 21 )-0.01202184828047730.0146930056056349-0.818202116241406
Winsorized Mean ( 10 / 21 )-0.01205453373020660.0144411234710973-0.834736560097467
Winsorized Mean ( 11 / 21 )-0.01228244635458420.0137726620277922-0.891799009501513
Winsorized Mean ( 12 / 21 )-0.01228026196373180.0133798870966754-0.9178150663755
Winsorized Mean ( 13 / 21 )-0.009514101454382630.0128122842415905-0.742576520703352
Winsorized Mean ( 14 / 21 )-0.007704873058228750.012198114988029-0.631644566868745
Winsorized Mean ( 15 / 21 )-0.008428733830051990.0118002193962164-0.714286196471443
Winsorized Mean ( 16 / 21 )-0.00837923271061930.0116504514326622-0.719219573511803
Winsorized Mean ( 17 / 21 )-0.008234774196553950.0113860349489159-0.723234579333343
Winsorized Mean ( 18 / 21 )-0.008667645963349070.0111838225664497-0.775016405334532
Winsorized Mean ( 19 / 21 )-0.0125881638879570.0105729576096766-1.19060005276443
Winsorized Mean ( 20 / 21 )-0.01118160160326440.00940799429200589-1.18852129967443
Winsorized Mean ( 21 / 21 )-0.001300680720311150.00770408625085386-0.168829979047417
Trimmed Mean ( 1 / 21 )-0.002115703625880060.0197180840717653-0.107297626796793
Trimmed Mean ( 2 / 21 )-0.003148092883992280.018504321665258-0.170127440548271
Trimmed Mean ( 3 / 21 )-0.005162162961754420.0173160336005152-0.29811463068545
Trimmed Mean ( 4 / 21 )-0.007227368204541460.0162033228072158-0.446042351345546
Trimmed Mean ( 5 / 21 )-0.007926639630033440.0155650343716789-0.50925937204843
Trimmed Mean ( 6 / 21 )-0.008267429081983640.0150131443410844-0.550679384288561
Trimmed Mean ( 7 / 21 )-0.008365962475203470.0146413785072529-0.571391721828598
Trimmed Mean ( 8 / 21 )-0.00795882834890620.0143579173327581-0.554316351351869
Trimmed Mean ( 9 / 21 )-0.00755053660667190.0140336692003003-0.53803011164823
Trimmed Mean ( 10 / 21 )-0.006832918683715470.0137280367365576-0.497734586149489
Trimmed Mean ( 11 / 21 )-0.006043604781338910.0133838574122717-0.451559262413952
Trimmed Mean ( 12 / 21 )-0.005144436927101780.0130877663418839-0.393072186094764
Trimmed Mean ( 13 / 21 )-0.004153350116458720.0127772809652978-0.325057430273228
Trimmed Mean ( 14 / 21 )-0.003428924259982510.0124922988933496-0.274483046655884
Trimmed Mean ( 15 / 21 )-0.002861706562255970.0122442634486401-0.233718146808889
Trimmed Mean ( 16 / 21 )-0.002130682779616090.011978979136929-0.177868477376974
Trimmed Mean ( 17 / 21 )-0.001311820389464460.0116181382463865-0.11291141159148
Trimmed Mean ( 18 / 21 )-0.0003990577171301470.0111519508074383-0.0357836690656829
Trimmed Mean ( 19 / 21 )0.000706823426911480.01050089444540170.067310782961064
Trimmed Mean ( 20 / 21 )0.002526137480525070.00968846583599250.260736583406271
Trimmed Mean ( 21 / 21 )0.004463100611930110.008894271952762940.50179493449643
Median0.0139494836972177
Midrange0.066644664215222
Midmean - Weighted Average at Xnp-0.00527346427796136
Midmean - Weighted Average at X(n+1)p-0.0021306827796161
Midmean - Empirical Distribution Function-0.0021306827796161
Midmean - Empirical Distribution Function - Averaging-0.0021306827796161
Midmean - Empirical Distribution Function - Interpolation-0.0021306827796161
Midmean - Closest Observation-0.00589676016374003
Midmean - True Basic - Statistics Graphics Toolkit-0.0021306827796161
Midmean - MS Excel (old versions)-0.0021306827796161
Number of observations65



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('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('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('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('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('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('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('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('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('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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('midmean.htm', 'Midmean', 'click to view the definition of the Midmean')
mylabel <- paste(mymid,hyperlink('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')