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of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_centraltendency.wasp
Title produced by softwareCentral Tendency
Date of computationThu, 24 May 2012 06:59:49 -0400
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/May/24/t1337857228rbbxl633iwm64xx.htm/, Retrieved Sun, 05 May 2024 13:54:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167295, Retrieved Sun, 05 May 2024 13:54:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDG2011W52a
Estimated Impact115
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Central Tendency] [jens vanpachtenbe...] [2012-05-24 10:59:49] [4080e77d9380e2af46712fd05e0afa1e] [Current]
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Dataseries X:
2,3
2,31
2,31
2,32
2,33
2,34
2,36
2,37
2,37
2,38
2,39
2,4
2,4
2,39
2,4
2,42
2,42
2,44
2,44
2,44
2,45
2,46
2,47
2,48
2,48
2,49
2,5
2,51
2,52
2,52
2,52
2,54
2,54
2,54
2,56
2,57
2,58
2,58
2,58
2,58
2,59
2,6
2,61
2,61
2,62
2,63
2,65
2,67
2,68
2,67
2,68
2,68
2,68
2,68
2,69
2,69
2,69
2,7
2,71
2,72
2,71
2,72
2,73
2,74
2,74
2,75
2,75
2,76
2,75
2,78
2,79
2,8
2,81
2,81
2,82
2,82
2,83
2,83
2,84
2,84
2,84
2,86
2,87




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=167295&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=167295&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167295&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 Mean2.595662650602410.0179144740361174144.891926236254
Geometric Mean2.59055554333593
Harmonic Mean2.58541705633151
Quadratic Mean2.60072696046539
Winsorized Mean ( 1 / 27 )2.595662650602410.0178684854750818145.264838154423
Winsorized Mean ( 2 / 27 )2.595180722891570.0177845543814146145.923292045125
Winsorized Mean ( 3 / 27 )2.59554216867470.0177149309313716146.517205103985
Winsorized Mean ( 4 / 27 )2.596024096385540.0176248660253263147.293266947684
Winsorized Mean ( 5 / 27 )2.596024096385540.0174152072455065149.066506059259
Winsorized Mean ( 6 / 27 )2.597469879518070.0171635778196215151.336155364334
Winsorized Mean ( 7 / 27 )2.597469879518070.0168856792688212153.82679240593
Winsorized Mean ( 8 / 27 )2.597469879518070.0168856792688212153.82679240593
Winsorized Mean ( 9 / 27 )2.597469879518070.0165375141210156157.065315893956
Winsorized Mean ( 10 / 27 )2.598674698795180.0163471118535272158.968429535427
Winsorized Mean ( 11 / 27 )2.597349397590360.0161411678802747160.914589133569
Winsorized Mean ( 12 / 27 )2.597349397590360.0156981559186497165.455701360735
Winsorized Mean ( 13 / 27 )2.595783132530120.0154671791726308167.825244898137
Winsorized Mean ( 14 / 27 )2.592409638554220.0149920052761265172.919472132417
Winsorized Mean ( 15 / 27 )2.594216867469880.0141941125916178182.767105074386
Winsorized Mean ( 16 / 27 )2.594216867469880.0141941125916178182.767105074386
Winsorized Mean ( 17 / 27 )2.598313253012050.0135963592094656191.103604500471
Winsorized Mean ( 18 / 27 )2.596144578313250.013305814721987195.11353739379
Winsorized Mean ( 19 / 27 )2.596144578313250.013305814721987195.11353739379
Winsorized Mean ( 20 / 27 )2.596144578313250.0126491470273756205.242659658759
Winsorized Mean ( 21 / 27 )2.596144578313250.0119724329813466216.843525652482
Winsorized Mean ( 22 / 27 )2.598795180722890.0116092690357813223.855194733886
Winsorized Mean ( 23 / 27 )2.598795180722890.0108882572553291238.678708610687
Winsorized Mean ( 24 / 27 )2.598795180722890.0108882572553291238.678708610687
Winsorized Mean ( 25 / 27 )2.598795180722890.0101188900697338256.826110651804
Winsorized Mean ( 26 / 27 )2.598795180722890.00933334353323068278.442036497432
Winsorized Mean ( 27 / 27 )2.602048192771080.00891854120362966291.757153256421
Trimmed Mean ( 1 / 27 )2.595925925925930.0176626286246247146.972796693849
Trimmed Mean ( 2 / 27 )2.596202531645570.0174207565496554149.029264271357
Trimmed Mean ( 3 / 27 )2.596753246753250.0171872418849111151.086094216953
Trimmed Mean ( 4 / 27 )2.59720.0169414040495813153.304885025995
Trimmed Mean ( 5 / 27 )2.597534246575340.0166812502655842155.715800987317
Trimmed Mean ( 6 / 27 )2.597887323943660.0164334099166069158.085713015553
Trimmed Mean ( 7 / 27 )2.597887323943660.0162022854604181160.340794531133
Trimmed Mean ( 8 / 27 )2.598059701492540.0159888003627762162.492472389681
Trimmed Mean ( 9 / 27 )2.598153846153850.0157289118707892165.183317669863
Trimmed Mean ( 10 / 27 )2.598253968253970.0154858832409112167.782097271003
Trimmed Mean ( 11 / 27 )2.598196721311480.0152259991133969170.642116944916
Trimmed Mean ( 12 / 27 )2.598305084745760.0149461385257423173.844573986158
Trimmed Mean ( 13 / 27 )2.598421052631580.0146850593982144176.943176201761
Trimmed Mean ( 14 / 27 )2.598421052631580.014401773519327180.423685259633
Trimmed Mean ( 15 / 27 )2.599433962264150.0141329348400981183.92740019497
Trimmed Mean ( 16 / 27 )2.60.0139410523697629186.499550467167
Trimmed Mean ( 17 / 27 )2.600612244897960.0136881203871622189.990456785946
Trimmed Mean ( 18 / 27 )2.600851063829790.0134749906668672193.013199647317
Trimmed Mean ( 19 / 27 )2.601333333333330.013244400379562196.410049438521
Trimmed Mean ( 20 / 27 )2.601860465116280.0129324671220991201.188252833073
Trimmed Mean ( 21 / 27 )2.602439024390240.0126528724580476205.679701033817
Trimmed Mean ( 22 / 27 )2.603076923076920.0124151851111169209.668796701714
Trimmed Mean ( 23 / 27 )2.603513513513510.0121626626523647214.057857882569
Trimmed Mean ( 24 / 27 )2.6040.0119677437621426217.584872449994
Trimmed Mean ( 25 / 27 )2.604545454545450.0116701096847929223.180889031351
Trimmed Mean ( 26 / 27 )2.605161290322580.0114335007455871227.853336287057
Trimmed Mean ( 27 / 27 )2.605862068965520.0112792284937235231.031942514118
Median2.6
Midrange2.585
Midmean - Weighted Average at Xnp2.59880952380952
Midmean - Weighted Average at X(n+1)p2.60186046511628
Midmean - Empirical Distribution Function2.60186046511628
Midmean - Empirical Distribution Function - Averaging2.60186046511628
Midmean - Empirical Distribution Function - Interpolation2.60243902439024
Midmean - Closest Observation2.59880952380952
Midmean - True Basic - Statistics Graphics Toolkit2.60186046511628
Midmean - MS Excel (old versions)2.60186046511628
Number of observations83

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 2.59566265060241 & 0.0179144740361174 & 144.891926236254 \tabularnewline
Geometric Mean & 2.59055554333593 &  &  \tabularnewline
Harmonic Mean & 2.58541705633151 &  &  \tabularnewline
Quadratic Mean & 2.60072696046539 &  &  \tabularnewline
Winsorized Mean ( 1 / 27 ) & 2.59566265060241 & 0.0178684854750818 & 145.264838154423 \tabularnewline
Winsorized Mean ( 2 / 27 ) & 2.59518072289157 & 0.0177845543814146 & 145.923292045125 \tabularnewline
Winsorized Mean ( 3 / 27 ) & 2.5955421686747 & 0.0177149309313716 & 146.517205103985 \tabularnewline
Winsorized Mean ( 4 / 27 ) & 2.59602409638554 & 0.0176248660253263 & 147.293266947684 \tabularnewline
Winsorized Mean ( 5 / 27 ) & 2.59602409638554 & 0.0174152072455065 & 149.066506059259 \tabularnewline
Winsorized Mean ( 6 / 27 ) & 2.59746987951807 & 0.0171635778196215 & 151.336155364334 \tabularnewline
Winsorized Mean ( 7 / 27 ) & 2.59746987951807 & 0.0168856792688212 & 153.82679240593 \tabularnewline
Winsorized Mean ( 8 / 27 ) & 2.59746987951807 & 0.0168856792688212 & 153.82679240593 \tabularnewline
Winsorized Mean ( 9 / 27 ) & 2.59746987951807 & 0.0165375141210156 & 157.065315893956 \tabularnewline
Winsorized Mean ( 10 / 27 ) & 2.59867469879518 & 0.0163471118535272 & 158.968429535427 \tabularnewline
Winsorized Mean ( 11 / 27 ) & 2.59734939759036 & 0.0161411678802747 & 160.914589133569 \tabularnewline
Winsorized Mean ( 12 / 27 ) & 2.59734939759036 & 0.0156981559186497 & 165.455701360735 \tabularnewline
Winsorized Mean ( 13 / 27 ) & 2.59578313253012 & 0.0154671791726308 & 167.825244898137 \tabularnewline
Winsorized Mean ( 14 / 27 ) & 2.59240963855422 & 0.0149920052761265 & 172.919472132417 \tabularnewline
Winsorized Mean ( 15 / 27 ) & 2.59421686746988 & 0.0141941125916178 & 182.767105074386 \tabularnewline
Winsorized Mean ( 16 / 27 ) & 2.59421686746988 & 0.0141941125916178 & 182.767105074386 \tabularnewline
Winsorized Mean ( 17 / 27 ) & 2.59831325301205 & 0.0135963592094656 & 191.103604500471 \tabularnewline
Winsorized Mean ( 18 / 27 ) & 2.59614457831325 & 0.013305814721987 & 195.11353739379 \tabularnewline
Winsorized Mean ( 19 / 27 ) & 2.59614457831325 & 0.013305814721987 & 195.11353739379 \tabularnewline
Winsorized Mean ( 20 / 27 ) & 2.59614457831325 & 0.0126491470273756 & 205.242659658759 \tabularnewline
Winsorized Mean ( 21 / 27 ) & 2.59614457831325 & 0.0119724329813466 & 216.843525652482 \tabularnewline
Winsorized Mean ( 22 / 27 ) & 2.59879518072289 & 0.0116092690357813 & 223.855194733886 \tabularnewline
Winsorized Mean ( 23 / 27 ) & 2.59879518072289 & 0.0108882572553291 & 238.678708610687 \tabularnewline
Winsorized Mean ( 24 / 27 ) & 2.59879518072289 & 0.0108882572553291 & 238.678708610687 \tabularnewline
Winsorized Mean ( 25 / 27 ) & 2.59879518072289 & 0.0101188900697338 & 256.826110651804 \tabularnewline
Winsorized Mean ( 26 / 27 ) & 2.59879518072289 & 0.00933334353323068 & 278.442036497432 \tabularnewline
Winsorized Mean ( 27 / 27 ) & 2.60204819277108 & 0.00891854120362966 & 291.757153256421 \tabularnewline
Trimmed Mean ( 1 / 27 ) & 2.59592592592593 & 0.0176626286246247 & 146.972796693849 \tabularnewline
Trimmed Mean ( 2 / 27 ) & 2.59620253164557 & 0.0174207565496554 & 149.029264271357 \tabularnewline
Trimmed Mean ( 3 / 27 ) & 2.59675324675325 & 0.0171872418849111 & 151.086094216953 \tabularnewline
Trimmed Mean ( 4 / 27 ) & 2.5972 & 0.0169414040495813 & 153.304885025995 \tabularnewline
Trimmed Mean ( 5 / 27 ) & 2.59753424657534 & 0.0166812502655842 & 155.715800987317 \tabularnewline
Trimmed Mean ( 6 / 27 ) & 2.59788732394366 & 0.0164334099166069 & 158.085713015553 \tabularnewline
Trimmed Mean ( 7 / 27 ) & 2.59788732394366 & 0.0162022854604181 & 160.340794531133 \tabularnewline
Trimmed Mean ( 8 / 27 ) & 2.59805970149254 & 0.0159888003627762 & 162.492472389681 \tabularnewline
Trimmed Mean ( 9 / 27 ) & 2.59815384615385 & 0.0157289118707892 & 165.183317669863 \tabularnewline
Trimmed Mean ( 10 / 27 ) & 2.59825396825397 & 0.0154858832409112 & 167.782097271003 \tabularnewline
Trimmed Mean ( 11 / 27 ) & 2.59819672131148 & 0.0152259991133969 & 170.642116944916 \tabularnewline
Trimmed Mean ( 12 / 27 ) & 2.59830508474576 & 0.0149461385257423 & 173.844573986158 \tabularnewline
Trimmed Mean ( 13 / 27 ) & 2.59842105263158 & 0.0146850593982144 & 176.943176201761 \tabularnewline
Trimmed Mean ( 14 / 27 ) & 2.59842105263158 & 0.014401773519327 & 180.423685259633 \tabularnewline
Trimmed Mean ( 15 / 27 ) & 2.59943396226415 & 0.0141329348400981 & 183.92740019497 \tabularnewline
Trimmed Mean ( 16 / 27 ) & 2.6 & 0.0139410523697629 & 186.499550467167 \tabularnewline
Trimmed Mean ( 17 / 27 ) & 2.60061224489796 & 0.0136881203871622 & 189.990456785946 \tabularnewline
Trimmed Mean ( 18 / 27 ) & 2.60085106382979 & 0.0134749906668672 & 193.013199647317 \tabularnewline
Trimmed Mean ( 19 / 27 ) & 2.60133333333333 & 0.013244400379562 & 196.410049438521 \tabularnewline
Trimmed Mean ( 20 / 27 ) & 2.60186046511628 & 0.0129324671220991 & 201.188252833073 \tabularnewline
Trimmed Mean ( 21 / 27 ) & 2.60243902439024 & 0.0126528724580476 & 205.679701033817 \tabularnewline
Trimmed Mean ( 22 / 27 ) & 2.60307692307692 & 0.0124151851111169 & 209.668796701714 \tabularnewline
Trimmed Mean ( 23 / 27 ) & 2.60351351351351 & 0.0121626626523647 & 214.057857882569 \tabularnewline
Trimmed Mean ( 24 / 27 ) & 2.604 & 0.0119677437621426 & 217.584872449994 \tabularnewline
Trimmed Mean ( 25 / 27 ) & 2.60454545454545 & 0.0116701096847929 & 223.180889031351 \tabularnewline
Trimmed Mean ( 26 / 27 ) & 2.60516129032258 & 0.0114335007455871 & 227.853336287057 \tabularnewline
Trimmed Mean ( 27 / 27 ) & 2.60586206896552 & 0.0112792284937235 & 231.031942514118 \tabularnewline
Median & 2.6 &  &  \tabularnewline
Midrange & 2.585 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 2.59880952380952 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 2.60186046511628 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 2.60186046511628 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 2.60186046511628 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 2.60243902439024 &  &  \tabularnewline
Midmean - Closest Observation & 2.59880952380952 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 2.60186046511628 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 2.60186046511628 &  &  \tabularnewline
Number of observations & 83 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167295&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]2.59566265060241[/C][C]0.0179144740361174[/C][C]144.891926236254[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]2.59055554333593[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]2.58541705633151[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]2.60072696046539[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 27 )[/C][C]2.59566265060241[/C][C]0.0178684854750818[/C][C]145.264838154423[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 27 )[/C][C]2.59518072289157[/C][C]0.0177845543814146[/C][C]145.923292045125[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 27 )[/C][C]2.5955421686747[/C][C]0.0177149309313716[/C][C]146.517205103985[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 27 )[/C][C]2.59602409638554[/C][C]0.0176248660253263[/C][C]147.293266947684[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 27 )[/C][C]2.59602409638554[/C][C]0.0174152072455065[/C][C]149.066506059259[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 27 )[/C][C]2.59746987951807[/C][C]0.0171635778196215[/C][C]151.336155364334[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 27 )[/C][C]2.59746987951807[/C][C]0.0168856792688212[/C][C]153.82679240593[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 27 )[/C][C]2.59746987951807[/C][C]0.0168856792688212[/C][C]153.82679240593[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 27 )[/C][C]2.59746987951807[/C][C]0.0165375141210156[/C][C]157.065315893956[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 27 )[/C][C]2.59867469879518[/C][C]0.0163471118535272[/C][C]158.968429535427[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 27 )[/C][C]2.59734939759036[/C][C]0.0161411678802747[/C][C]160.914589133569[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 27 )[/C][C]2.59734939759036[/C][C]0.0156981559186497[/C][C]165.455701360735[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 27 )[/C][C]2.59578313253012[/C][C]0.0154671791726308[/C][C]167.825244898137[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 27 )[/C][C]2.59240963855422[/C][C]0.0149920052761265[/C][C]172.919472132417[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 27 )[/C][C]2.59421686746988[/C][C]0.0141941125916178[/C][C]182.767105074386[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 27 )[/C][C]2.59421686746988[/C][C]0.0141941125916178[/C][C]182.767105074386[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 27 )[/C][C]2.59831325301205[/C][C]0.0135963592094656[/C][C]191.103604500471[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 27 )[/C][C]2.59614457831325[/C][C]0.013305814721987[/C][C]195.11353739379[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 27 )[/C][C]2.59614457831325[/C][C]0.013305814721987[/C][C]195.11353739379[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 27 )[/C][C]2.59614457831325[/C][C]0.0126491470273756[/C][C]205.242659658759[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 27 )[/C][C]2.59614457831325[/C][C]0.0119724329813466[/C][C]216.843525652482[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 27 )[/C][C]2.59879518072289[/C][C]0.0116092690357813[/C][C]223.855194733886[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 27 )[/C][C]2.59879518072289[/C][C]0.0108882572553291[/C][C]238.678708610687[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 27 )[/C][C]2.59879518072289[/C][C]0.0108882572553291[/C][C]238.678708610687[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 27 )[/C][C]2.59879518072289[/C][C]0.0101188900697338[/C][C]256.826110651804[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 27 )[/C][C]2.59879518072289[/C][C]0.00933334353323068[/C][C]278.442036497432[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 27 )[/C][C]2.60204819277108[/C][C]0.00891854120362966[/C][C]291.757153256421[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 27 )[/C][C]2.59592592592593[/C][C]0.0176626286246247[/C][C]146.972796693849[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 27 )[/C][C]2.59620253164557[/C][C]0.0174207565496554[/C][C]149.029264271357[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 27 )[/C][C]2.59675324675325[/C][C]0.0171872418849111[/C][C]151.086094216953[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 27 )[/C][C]2.5972[/C][C]0.0169414040495813[/C][C]153.304885025995[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 27 )[/C][C]2.59753424657534[/C][C]0.0166812502655842[/C][C]155.715800987317[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 27 )[/C][C]2.59788732394366[/C][C]0.0164334099166069[/C][C]158.085713015553[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 27 )[/C][C]2.59788732394366[/C][C]0.0162022854604181[/C][C]160.340794531133[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 27 )[/C][C]2.59805970149254[/C][C]0.0159888003627762[/C][C]162.492472389681[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 27 )[/C][C]2.59815384615385[/C][C]0.0157289118707892[/C][C]165.183317669863[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 27 )[/C][C]2.59825396825397[/C][C]0.0154858832409112[/C][C]167.782097271003[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 27 )[/C][C]2.59819672131148[/C][C]0.0152259991133969[/C][C]170.642116944916[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 27 )[/C][C]2.59830508474576[/C][C]0.0149461385257423[/C][C]173.844573986158[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 27 )[/C][C]2.59842105263158[/C][C]0.0146850593982144[/C][C]176.943176201761[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 27 )[/C][C]2.59842105263158[/C][C]0.014401773519327[/C][C]180.423685259633[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 27 )[/C][C]2.59943396226415[/C][C]0.0141329348400981[/C][C]183.92740019497[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 27 )[/C][C]2.6[/C][C]0.0139410523697629[/C][C]186.499550467167[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 27 )[/C][C]2.60061224489796[/C][C]0.0136881203871622[/C][C]189.990456785946[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 27 )[/C][C]2.60085106382979[/C][C]0.0134749906668672[/C][C]193.013199647317[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 27 )[/C][C]2.60133333333333[/C][C]0.013244400379562[/C][C]196.410049438521[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 27 )[/C][C]2.60186046511628[/C][C]0.0129324671220991[/C][C]201.188252833073[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 27 )[/C][C]2.60243902439024[/C][C]0.0126528724580476[/C][C]205.679701033817[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 27 )[/C][C]2.60307692307692[/C][C]0.0124151851111169[/C][C]209.668796701714[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 27 )[/C][C]2.60351351351351[/C][C]0.0121626626523647[/C][C]214.057857882569[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 27 )[/C][C]2.604[/C][C]0.0119677437621426[/C][C]217.584872449994[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 27 )[/C][C]2.60454545454545[/C][C]0.0116701096847929[/C][C]223.180889031351[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 27 )[/C][C]2.60516129032258[/C][C]0.0114335007455871[/C][C]227.853336287057[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 27 )[/C][C]2.60586206896552[/C][C]0.0112792284937235[/C][C]231.031942514118[/C][/ROW]
[ROW][C]Median[/C][C]2.6[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]2.585[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]2.59880952380952[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]2.60186046511628[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]2.60186046511628[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]2.60186046511628[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]2.60243902439024[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]2.59880952380952[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]2.60186046511628[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]2.60186046511628[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]83[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167295&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167295&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 Mean2.595662650602410.0179144740361174144.891926236254
Geometric Mean2.59055554333593
Harmonic Mean2.58541705633151
Quadratic Mean2.60072696046539
Winsorized Mean ( 1 / 27 )2.595662650602410.0178684854750818145.264838154423
Winsorized Mean ( 2 / 27 )2.595180722891570.0177845543814146145.923292045125
Winsorized Mean ( 3 / 27 )2.59554216867470.0177149309313716146.517205103985
Winsorized Mean ( 4 / 27 )2.596024096385540.0176248660253263147.293266947684
Winsorized Mean ( 5 / 27 )2.596024096385540.0174152072455065149.066506059259
Winsorized Mean ( 6 / 27 )2.597469879518070.0171635778196215151.336155364334
Winsorized Mean ( 7 / 27 )2.597469879518070.0168856792688212153.82679240593
Winsorized Mean ( 8 / 27 )2.597469879518070.0168856792688212153.82679240593
Winsorized Mean ( 9 / 27 )2.597469879518070.0165375141210156157.065315893956
Winsorized Mean ( 10 / 27 )2.598674698795180.0163471118535272158.968429535427
Winsorized Mean ( 11 / 27 )2.597349397590360.0161411678802747160.914589133569
Winsorized Mean ( 12 / 27 )2.597349397590360.0156981559186497165.455701360735
Winsorized Mean ( 13 / 27 )2.595783132530120.0154671791726308167.825244898137
Winsorized Mean ( 14 / 27 )2.592409638554220.0149920052761265172.919472132417
Winsorized Mean ( 15 / 27 )2.594216867469880.0141941125916178182.767105074386
Winsorized Mean ( 16 / 27 )2.594216867469880.0141941125916178182.767105074386
Winsorized Mean ( 17 / 27 )2.598313253012050.0135963592094656191.103604500471
Winsorized Mean ( 18 / 27 )2.596144578313250.013305814721987195.11353739379
Winsorized Mean ( 19 / 27 )2.596144578313250.013305814721987195.11353739379
Winsorized Mean ( 20 / 27 )2.596144578313250.0126491470273756205.242659658759
Winsorized Mean ( 21 / 27 )2.596144578313250.0119724329813466216.843525652482
Winsorized Mean ( 22 / 27 )2.598795180722890.0116092690357813223.855194733886
Winsorized Mean ( 23 / 27 )2.598795180722890.0108882572553291238.678708610687
Winsorized Mean ( 24 / 27 )2.598795180722890.0108882572553291238.678708610687
Winsorized Mean ( 25 / 27 )2.598795180722890.0101188900697338256.826110651804
Winsorized Mean ( 26 / 27 )2.598795180722890.00933334353323068278.442036497432
Winsorized Mean ( 27 / 27 )2.602048192771080.00891854120362966291.757153256421
Trimmed Mean ( 1 / 27 )2.595925925925930.0176626286246247146.972796693849
Trimmed Mean ( 2 / 27 )2.596202531645570.0174207565496554149.029264271357
Trimmed Mean ( 3 / 27 )2.596753246753250.0171872418849111151.086094216953
Trimmed Mean ( 4 / 27 )2.59720.0169414040495813153.304885025995
Trimmed Mean ( 5 / 27 )2.597534246575340.0166812502655842155.715800987317
Trimmed Mean ( 6 / 27 )2.597887323943660.0164334099166069158.085713015553
Trimmed Mean ( 7 / 27 )2.597887323943660.0162022854604181160.340794531133
Trimmed Mean ( 8 / 27 )2.598059701492540.0159888003627762162.492472389681
Trimmed Mean ( 9 / 27 )2.598153846153850.0157289118707892165.183317669863
Trimmed Mean ( 10 / 27 )2.598253968253970.0154858832409112167.782097271003
Trimmed Mean ( 11 / 27 )2.598196721311480.0152259991133969170.642116944916
Trimmed Mean ( 12 / 27 )2.598305084745760.0149461385257423173.844573986158
Trimmed Mean ( 13 / 27 )2.598421052631580.0146850593982144176.943176201761
Trimmed Mean ( 14 / 27 )2.598421052631580.014401773519327180.423685259633
Trimmed Mean ( 15 / 27 )2.599433962264150.0141329348400981183.92740019497
Trimmed Mean ( 16 / 27 )2.60.0139410523697629186.499550467167
Trimmed Mean ( 17 / 27 )2.600612244897960.0136881203871622189.990456785946
Trimmed Mean ( 18 / 27 )2.600851063829790.0134749906668672193.013199647317
Trimmed Mean ( 19 / 27 )2.601333333333330.013244400379562196.410049438521
Trimmed Mean ( 20 / 27 )2.601860465116280.0129324671220991201.188252833073
Trimmed Mean ( 21 / 27 )2.602439024390240.0126528724580476205.679701033817
Trimmed Mean ( 22 / 27 )2.603076923076920.0124151851111169209.668796701714
Trimmed Mean ( 23 / 27 )2.603513513513510.0121626626523647214.057857882569
Trimmed Mean ( 24 / 27 )2.6040.0119677437621426217.584872449994
Trimmed Mean ( 25 / 27 )2.604545454545450.0116701096847929223.180889031351
Trimmed Mean ( 26 / 27 )2.605161290322580.0114335007455871227.853336287057
Trimmed Mean ( 27 / 27 )2.605862068965520.0112792284937235231.031942514118
Median2.6
Midrange2.585
Midmean - Weighted Average at Xnp2.59880952380952
Midmean - Weighted Average at X(n+1)p2.60186046511628
Midmean - Empirical Distribution Function2.60186046511628
Midmean - Empirical Distribution Function - Averaging2.60186046511628
Midmean - Empirical Distribution Function - Interpolation2.60243902439024
Midmean - Closest Observation2.59880952380952
Midmean - True Basic - Statistics Graphics Toolkit2.60186046511628
Midmean - MS Excel (old versions)2.60186046511628
Number of observations83



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')