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R Software Module

rwasp_centraltendency.wasp

Title produced by software

Central Tendency

Date of computation

Mon, 15 Dec 2014 20:20:45 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/15/t1418674860rl38p9wfxcy377h.htm/, Retrieved Thu, 16 May 2024 12:29:29 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269000, Retrieved Thu, 16 May 2024 12:29:29 +0000

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User-defined keywords

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-squared test] [2014-11-02 11:21:00] [5c51c91cab622bcf955f01721b682696]
- R  D  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:26:49] [e493208d2907342b139e6792bbaea494]
-    D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:30:24] [e493208d2907342b139e6792bbaea494]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:36:06] [e493208d2907342b139e6792bbaea494]
-    D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:38:19] [e493208d2907342b139e6792bbaea494]
-    D          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:39:21] [e493208d2907342b139e6792bbaea494]
-    D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:40:38] [e493208d2907342b139e6792bbaea494]
-    D              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:43:34] [e493208d2907342b139e6792bbaea494]
-    D                [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:53:25] [e493208d2907342b139e6792bbaea494]
-    D                  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:54:41] [e493208d2907342b139e6792bbaea494]
-    D                    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:55:52] [e493208d2907342b139e6792bbaea494]
-    D                      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:56:38] [e493208d2907342b139e6792bbaea494]
-    D                        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:59:28] [e493208d2907342b139e6792bbaea494]
-    D                          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:00:52] [e493208d2907342b139e6792bbaea494]
-    D                            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:02:37] [e493208d2907342b139e6792bbaea494]
-    D                              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:03:31] [e493208d2907342b139e6792bbaea494]
-    D                                [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:04:30] [e493208d2907342b139e6792bbaea494]
-    D                                  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:05:26] [e493208d2907342b139e6792bbaea494]
-    D                                    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:06:29] [e493208d2907342b139e6792bbaea494]
-    D                                      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:07:30] [e493208d2907342b139e6792bbaea494]
-    D                                        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:08:04] [e493208d2907342b139e6792bbaea494]
- RM D                                            [Central Tendency] [] [2014-12-15 20:20:45] [04df4205f362f56e0d1a9032a00a5d3d] [Current]

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Dataseries X:

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Boxplots

2.44321
-2.61362
1.27669
1.40126
-4.04734
-3.70408
-1.04518
3.24097
2.15247
0.315385
-4.43832
-0.631666
-5.94849
0.310547
-0.0179496
-1.33297
-0.073934
-1.55528
-0.868318
-4.54868
2.39574
-1.47736
2.79157
0.458269
-2.82859
-0.594331
0.0978977
-2.49445
-0.471316
-4.68597
-1.84496
-2.76344
-0.56307
-0.576755
-0.734949
-1.83912
-1.22633
-4.23778
-0.814293
1.99965
-0.672755
-0.954424
0.299413
3.36479
-1.19412
1.38744
-1.61865
3.36164
-1.71675
1.24674
-2.9613
3.07979
-1.27357
-1.45556
0.688511
2.38533
0.0746806
0.748565
-3.6506
0.913928
0.728284
0.298679
-3.02502
-3.46569
2.00448
2.1365
2.39962
-3.09901
3.82244
-0.410077
3.85776
0.371919
4.70766
-2.61644
-0.496747
0.76727
-1.06381
2.22215
1.73583
-0.0662374
2.19447
0.976277
1.50086
-0.578253
3.44396
-3.05148
0.480758
-0.373989
3.25145
0.590297
1.09474
1.54734
1.17212
2.15462
0.0223139
-0.629747
1.10952
-3.61595
1.14292
-5.3616
2.63646
1.64095
-0.255053
2.75212
2.33286
1.74025
5.12139
-0.57938
-0.57938
-0.00947375
1.80922
-2.15882
1.80037
-2.67446
2.07967
-0.0885219
-0.309651
-1.33232
1.55178
-1.61828
-0.1891
-0.3709
1.43865
2.16146
1.05055
1.30309
1.11451
2.5961
1.34008
3.08327
2.17635
3.36137
2.15862
-1.34784
-0.758253
-4.27481
-2.42213
-0.466902
-1.07685
3.22853
0.445504
0.496056
-0.543513
-1.10907
-1.87356
-1.52076
-1.45846
-5.43577
2.19566

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269000&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269000&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269000&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Central Tendency - Ungrouped Data
Measure	Value	S.E.	Value/S.E.
Arithmetic Mean	1.0436241610979e-07	0.18294838685585	5.70447315242084e-07
Geometric Mean	NaN
Harmonic Mean	-1.0416959056445
Quadratic Mean	2.22566318509054
Winsorized Mean ( 1 / 49 )	0.000664466778523491	0.181716843467403	0.0036566053308244
Winsorized Mean ( 2 / 49 )	-0.00974801644295303	0.179687242573893	-0.0542499083592112
Winsorized Mean ( 3 / 49 )	0.00314413120805369	0.176996224584843	0.017763832055901
Winsorized Mean ( 4 / 49 )	-0.00333076812080536	0.174925213625526	-0.0190410979170548
Winsorized Mean ( 5 / 49 )	-0.00228412382550336	0.173930357079336	-0.0131324046236592
Winsorized Mean ( 6 / 49 )	0.00417332583892615	0.17279550853969	0.0241518189575371
Winsorized Mean ( 7 / 49 )	0.00590030570469799	0.172503718423427	0.0342039334492206
Winsorized Mean ( 8 / 49 )	0.0102235271812081	0.170061652308665	0.0601165932614377
Winsorized Mean ( 9 / 49 )	0.0303243325503356	0.166738617258509	0.181867482464012
Winsorized Mean ( 10 / 49 )	0.0330786949664429	0.166089514128856	0.199161850403028
Winsorized Mean ( 11 / 49 )	0.0249128560402685	0.1643349786613	0.151598011836633
Winsorized Mean ( 12 / 49 )	0.0367340640939598	0.162512607802461	0.226038241528996
Winsorized Mean ( 13 / 49 )	0.0435795674496645	0.154886989835846	0.281363641296479
Winsorized Mean ( 14 / 49 )	0.0443387620805369	0.153834631009575	0.288223541016438
Winsorized Mean ( 15 / 49 )	0.0353588963087248	0.15210728373871	0.232460244109442
Winsorized Mean ( 16 / 49 )	0.0378673526845637	0.15068309173261	0.251304590642193
Winsorized Mean ( 17 / 49 )	0.0355649365771812	0.146697783296946	0.242436768830996
Winsorized Mean ( 18 / 49 )	0.0381695003355704	0.14508361120048	0.263086230207124
Winsorized Mean ( 19 / 49 )	0.0490211781879194	0.143561599531949	0.341464419090774
Winsorized Mean ( 20 / 49 )	0.0554117822147651	0.142414433950187	0.389088245325938
Winsorized Mean ( 21 / 49 )	0.0484141312080537	0.141552045377649	0.342023536847446
Winsorized Mean ( 22 / 49 )	0.0496632587248322	0.137570943407308	0.361001076933764
Winsorized Mean ( 23 / 49 )	0.0567376882550335	0.135748912003091	0.417960537714966
Winsorized Mean ( 24 / 49 )	0.0989583593959732	0.130632701501836	0.757531293912514
Winsorized Mean ( 25 / 49 )	0.14378050704698	0.12489015733016	1.15125571238477
Winsorized Mean ( 26 / 49 )	0.146172856040268	0.124061763707601	1.17822648712927
Winsorized Mean ( 27 / 49 )	0.146716480201342	0.123890600587021	1.18424222262357
Winsorized Mean ( 28 / 49 )	0.16896050704698	0.121354978083093	1.39228328096513
Winsorized Mean ( 29 / 49 )	0.187635339261745	0.119329633527228	1.5724119291704
Winsorized Mean ( 30 / 49 )	0.18449439966443	0.1189649017005	1.55083051410326
Winsorized Mean ( 31 / 49 )	0.185778090939597	0.116325173510205	1.59705836091704
Winsorized Mean ( 32 / 49 )	0.177043594295302	0.113812358583949	1.55557442529154
Winsorized Mean ( 33 / 49 )	0.185585943288591	0.112732708744914	1.64624752970786
Winsorized Mean ( 34 / 49 )	0.146444869463087	0.107669000516264	1.3601395829895
Winsorized Mean ( 35 / 49 )	0.145047218456376	0.107383668826134	1.35073815266289
Winsorized Mean ( 36 / 49 )	0.156547889597315	0.103282768569687	1.51572127437395
Winsorized Mean ( 37 / 49 )	0.159142856040268	0.102806278063511	1.54798772057435
Winsorized Mean ( 38 / 49 )	0.135111043959732	0.100308681245359	1.3469526493848
Winsorized Mean ( 39 / 49 )	0.127148762080537	0.0964452463642261	1.31835177858698
Winsorized Mean ( 40 / 49 )	0.138638694966443	0.0950887979860386	1.4579918760441
Winsorized Mean ( 41 / 49 )	0.134712050671141	0.0929557011343705	1.44920697737958
Winsorized Mean ( 42 / 49 )	0.14115017147651	0.0889235225040779	1.58732096414688
Winsorized Mean ( 43 / 49 )	0.139658158053691	0.0869818171712413	1.60560175213109
Winsorized Mean ( 44 / 49 )	0.139427822483221	0.0862187693643171	1.61714002080069
Winsorized Mean ( 45 / 49 )	0.130750976845638	0.0842955480269964	1.55110180674979
Winsorized Mean ( 46 / 49 )	0.147349876174497	0.0805732337475511	1.82876954692134
Winsorized Mean ( 47 / 49 )	0.166183312416107	0.0772818345629688	2.15035413374798
Winsorized Mean ( 48 / 49 )	0.173939017114094	0.0747815904586184	2.32596038740773
Winsorized Mean ( 49 / 49 )	0.167828815771812	0.0707779288267691	2.37120269770224
Trimmed Mean ( 1 / 49 )	0.00562663639455783	0.177536478053921	0.0316928467672369
Trimmed Mean ( 2 / 49 )	0.0107256934482759	0.172975897977999	0.0620068667002385
Trimmed Mean ( 3 / 49 )	0.0213920667832168	0.169161054971725	0.126459762188126
Trimmed Mean ( 4 / 49 )	0.0278198265957447	0.166075832175295	0.167512793591668
Trimmed Mean ( 5 / 49 )	0.0361677377697842	0.163348549228484	0.221414502550583
Trimmed Mean ( 6 / 49 )	0.0445317193430657	0.160625877713786	0.277238761131724
Trimmed Mean ( 7 / 49 )	0.0519556707407407	0.157904108958712	0.329033051029254
Trimmed Mean ( 8 / 49 )	0.0593265078947368	0.154982835510019	0.382794053931873
Trimmed Mean ( 9 / 49 )	0.0663077522900763	0.152225368163565	0.435589370484093
Trimmed Mean ( 10 / 49 )	0.0709257794573643	0.149759919250021	0.47359653913111
Trimmed Mean ( 11 / 49 )	0.0753661066929134	0.147153333504563	0.512160376513499
Trimmed Mean ( 12 / 49 )	0.0808334044	0.144541974781359	0.559238273326985
Trimmed Mean ( 13 / 49 )	0.0852851670731707	0.141924173876466	0.60092065180809
Trimmed Mean ( 14 / 49 )	0.0892356657024793	0.140049263296737	0.637173403143198
Trimmed Mean ( 15 / 49 )	0.0892356657024793	0.138108200541548	0.646128653856683
Trimmed Mean ( 16 / 49 )	0.0981661158119658	0.136166030312639	0.720929556267264
Trimmed Mean ( 17 / 49 )	0.103049004782609	0.134180637058752	0.767987148082236
Trimmed Mean ( 18 / 49 )	0.108283323451327	0.132432118833903	0.817651521434442
Trimmed Mean ( 19 / 49 )	0.113512031981982	0.13066460320576	0.868728249250736
Trimmed Mean ( 20 / 49 )	0.118151885779817	0.128862526523443	0.916883200783138
Trimmed Mean ( 21 / 49 )	0.122520238785047	0.126974065626965	0.964923334383865
Trimmed Mean ( 22 / 49 )	0.127527862380952	0.124948969014114	1.02063957299678
Trimmed Mean ( 23 / 49 )	0.132647820873786	0.123106563455266	1.07750405137405
Trimmed Mean ( 24 / 49 )	0.137516787623762	0.121229469279684	1.13435114779314
Trimmed Mean ( 25 / 49 )	0.139934803535354	0.119665368064751	1.1693843072428
Trimmed Mean ( 26 / 49 )	0.139698510824742	0.118485552470406	1.17903413464384
Trimmed Mean ( 27 / 49 )	0.139307953157895	0.117220108441823	1.18843050914796
Trimmed Mean ( 28 / 49 )	0.138868339247312	0.115789124029134	1.19932109696564
Trimmed Mean ( 29 / 49 )	0.137108632417582	0.1144101363118	1.19839584880768
Trimmed Mean ( 30 / 49 )	0.137108632417582	0.113029678246181	1.21303213939048
Trimmed Mean ( 31 / 49 )	0.131320063793103	0.111476106816196	1.17801085401759
Trimmed Mean ( 32 / 49 )	0.128240653529412	0.109963541223291	1.16621065584826
Trimmed Mean ( 33 / 49 )	0.125502837951807	0.108482873047566	1.15689080152568
Trimmed Mean ( 34 / 49 )	0.122153648765432	0.106873450621426	1.14297468693261
Trimmed Mean ( 35 / 49 )	0.120806146202532	0.105565246760359	1.14437421319888
Trimmed Mean ( 36 / 49 )	0.119465916233766	0.104056034218273	1.14809215180322
Trimmed Mean ( 37 / 49 )	0.117419540666667	0.102740129048982	1.14287904593429
Trimmed Mean ( 38 / 49 )	0.115117884246575	0.10122907678693	1.13720175961773
Trimmed Mean ( 39 / 49 )	0.114013740140845	0.0997346769475968	1.14317049626331
Trimmed Mean ( 40 / 49 )	0.113286457246377	0.0984145651929896	1.15111474632056
Trimmed Mean ( 41 / 49 )	0.111876948507463	0.0969839226267182	1.15356180155825
Trimmed Mean ( 42 / 49 )	0.110600239230769	0.0955220964456311	1.15784978917124
Trimmed Mean ( 43 / 49 )	0.108879929365079	0.0942623025867581	1.1550739413019
Trimmed Mean ( 44 / 49 )	0.107131566393443	0.0929626411559774	1.15241526124125
Trimmed Mean ( 45 / 49 )	0.105277890677966	0.0914514050084229	1.15118942861807
Trimmed Mean ( 46 / 49 )	0.10379816754386	0.0898533365702959	1.15519547193057
Trimmed Mean ( 47 / 49 )	0.101233264545455	0.0884062112840291	1.1450922177879
Trimmed Mean ( 48 / 49 )	0.0973482556603774	0.0870621466531728	1.11814674232857
Trimmed Mean ( 49 / 49 )	0.092686481372549	0.0857188226036024	1.08128504985618
Median	-0.00947375
Midrange	-0.41355
Midmean - Weighted Average at Xnp	0.0955491290540539
Midmean - Weighted Average at X(n+1)p	0.117419540666667
Midmean - Empirical Distribution Function	0.117419540666667
Midmean - Empirical Distribution Function - Averaging	0.117419540666667
Midmean - Empirical Distribution Function - Interpolation	0.117419540666667
Midmean - Closest Observation	0.0981398098684209
Midmean - True Basic - Statistics Graphics Toolkit	0.117419540666667
Midmean - MS Excel (old versions)	0.117419540666667
Number of observations	149

\begin{tabular}{lllllllll}
\hline
Central Tendency - Ungrouped Data \tabularnewline
Measure & Value & S.E. & Value/S.E. \tabularnewline
Arithmetic Mean & 1.0436241610979e-07 & 0.18294838685585 & 5.70447315242084e-07 \tabularnewline
Geometric Mean & NaN &  &  \tabularnewline
Harmonic Mean & -1.0416959056445 &  &  \tabularnewline
Quadratic Mean & 2.22566318509054 &  &  \tabularnewline
Winsorized Mean ( 1 / 49 ) & 0.000664466778523491 & 0.181716843467403 & 0.0036566053308244 \tabularnewline
Winsorized Mean ( 2 / 49 ) & -0.00974801644295303 & 0.179687242573893 & -0.0542499083592112 \tabularnewline
Winsorized Mean ( 3 / 49 ) & 0.00314413120805369 & 0.176996224584843 & 0.017763832055901 \tabularnewline
Winsorized Mean ( 4 / 49 ) & -0.00333076812080536 & 0.174925213625526 & -0.0190410979170548 \tabularnewline
Winsorized Mean ( 5 / 49 ) & -0.00228412382550336 & 0.173930357079336 & -0.0131324046236592 \tabularnewline
Winsorized Mean ( 6 / 49 ) & 0.00417332583892615 & 0.17279550853969 & 0.0241518189575371 \tabularnewline
Winsorized Mean ( 7 / 49 ) & 0.00590030570469799 & 0.172503718423427 & 0.0342039334492206 \tabularnewline
Winsorized Mean ( 8 / 49 ) & 0.0102235271812081 & 0.170061652308665 & 0.0601165932614377 \tabularnewline
Winsorized Mean ( 9 / 49 ) & 0.0303243325503356 & 0.166738617258509 & 0.181867482464012 \tabularnewline
Winsorized Mean ( 10 / 49 ) & 0.0330786949664429 & 0.166089514128856 & 0.199161850403028 \tabularnewline
Winsorized Mean ( 11 / 49 ) & 0.0249128560402685 & 0.1643349786613 & 0.151598011836633 \tabularnewline
Winsorized Mean ( 12 / 49 ) & 0.0367340640939598 & 0.162512607802461 & 0.226038241528996 \tabularnewline
Winsorized Mean ( 13 / 49 ) & 0.0435795674496645 & 0.154886989835846 & 0.281363641296479 \tabularnewline
Winsorized Mean ( 14 / 49 ) & 0.0443387620805369 & 0.153834631009575 & 0.288223541016438 \tabularnewline
Winsorized Mean ( 15 / 49 ) & 0.0353588963087248 & 0.15210728373871 & 0.232460244109442 \tabularnewline
Winsorized Mean ( 16 / 49 ) & 0.0378673526845637 & 0.15068309173261 & 0.251304590642193 \tabularnewline
Winsorized Mean ( 17 / 49 ) & 0.0355649365771812 & 0.146697783296946 & 0.242436768830996 \tabularnewline
Winsorized Mean ( 18 / 49 ) & 0.0381695003355704 & 0.14508361120048 & 0.263086230207124 \tabularnewline
Winsorized Mean ( 19 / 49 ) & 0.0490211781879194 & 0.143561599531949 & 0.341464419090774 \tabularnewline
Winsorized Mean ( 20 / 49 ) & 0.0554117822147651 & 0.142414433950187 & 0.389088245325938 \tabularnewline
Winsorized Mean ( 21 / 49 ) & 0.0484141312080537 & 0.141552045377649 & 0.342023536847446 \tabularnewline
Winsorized Mean ( 22 / 49 ) & 0.0496632587248322 & 0.137570943407308 & 0.361001076933764 \tabularnewline
Winsorized Mean ( 23 / 49 ) & 0.0567376882550335 & 0.135748912003091 & 0.417960537714966 \tabularnewline
Winsorized Mean ( 24 / 49 ) & 0.0989583593959732 & 0.130632701501836 & 0.757531293912514 \tabularnewline
Winsorized Mean ( 25 / 49 ) & 0.14378050704698 & 0.12489015733016 & 1.15125571238477 \tabularnewline
Winsorized Mean ( 26 / 49 ) & 0.146172856040268 & 0.124061763707601 & 1.17822648712927 \tabularnewline
Winsorized Mean ( 27 / 49 ) & 0.146716480201342 & 0.123890600587021 & 1.18424222262357 \tabularnewline
Winsorized Mean ( 28 / 49 ) & 0.16896050704698 & 0.121354978083093 & 1.39228328096513 \tabularnewline
Winsorized Mean ( 29 / 49 ) & 0.187635339261745 & 0.119329633527228 & 1.5724119291704 \tabularnewline
Winsorized Mean ( 30 / 49 ) & 0.18449439966443 & 0.1189649017005 & 1.55083051410326 \tabularnewline
Winsorized Mean ( 31 / 49 ) & 0.185778090939597 & 0.116325173510205 & 1.59705836091704 \tabularnewline
Winsorized Mean ( 32 / 49 ) & 0.177043594295302 & 0.113812358583949 & 1.55557442529154 \tabularnewline
Winsorized Mean ( 33 / 49 ) & 0.185585943288591 & 0.112732708744914 & 1.64624752970786 \tabularnewline
Winsorized Mean ( 34 / 49 ) & 0.146444869463087 & 0.107669000516264 & 1.3601395829895 \tabularnewline
Winsorized Mean ( 35 / 49 ) & 0.145047218456376 & 0.107383668826134 & 1.35073815266289 \tabularnewline
Winsorized Mean ( 36 / 49 ) & 0.156547889597315 & 0.103282768569687 & 1.51572127437395 \tabularnewline
Winsorized Mean ( 37 / 49 ) & 0.159142856040268 & 0.102806278063511 & 1.54798772057435 \tabularnewline
Winsorized Mean ( 38 / 49 ) & 0.135111043959732 & 0.100308681245359 & 1.3469526493848 \tabularnewline
Winsorized Mean ( 39 / 49 ) & 0.127148762080537 & 0.0964452463642261 & 1.31835177858698 \tabularnewline
Winsorized Mean ( 40 / 49 ) & 0.138638694966443 & 0.0950887979860386 & 1.4579918760441 \tabularnewline
Winsorized Mean ( 41 / 49 ) & 0.134712050671141 & 0.0929557011343705 & 1.44920697737958 \tabularnewline
Winsorized Mean ( 42 / 49 ) & 0.14115017147651 & 0.0889235225040779 & 1.58732096414688 \tabularnewline
Winsorized Mean ( 43 / 49 ) & 0.139658158053691 & 0.0869818171712413 & 1.60560175213109 \tabularnewline
Winsorized Mean ( 44 / 49 ) & 0.139427822483221 & 0.0862187693643171 & 1.61714002080069 \tabularnewline
Winsorized Mean ( 45 / 49 ) & 0.130750976845638 & 0.0842955480269964 & 1.55110180674979 \tabularnewline
Winsorized Mean ( 46 / 49 ) & 0.147349876174497 & 0.0805732337475511 & 1.82876954692134 \tabularnewline
Winsorized Mean ( 47 / 49 ) & 0.166183312416107 & 0.0772818345629688 & 2.15035413374798 \tabularnewline
Winsorized Mean ( 48 / 49 ) & 0.173939017114094 & 0.0747815904586184 & 2.32596038740773 \tabularnewline
Winsorized Mean ( 49 / 49 ) & 0.167828815771812 & 0.0707779288267691 & 2.37120269770224 \tabularnewline
Trimmed Mean ( 1 / 49 ) & 0.00562663639455783 & 0.177536478053921 & 0.0316928467672369 \tabularnewline
Trimmed Mean ( 2 / 49 ) & 0.0107256934482759 & 0.172975897977999 & 0.0620068667002385 \tabularnewline
Trimmed Mean ( 3 / 49 ) & 0.0213920667832168 & 0.169161054971725 & 0.126459762188126 \tabularnewline
Trimmed Mean ( 4 / 49 ) & 0.0278198265957447 & 0.166075832175295 & 0.167512793591668 \tabularnewline
Trimmed Mean ( 5 / 49 ) & 0.0361677377697842 & 0.163348549228484 & 0.221414502550583 \tabularnewline
Trimmed Mean ( 6 / 49 ) & 0.0445317193430657 & 0.160625877713786 & 0.277238761131724 \tabularnewline
Trimmed Mean ( 7 / 49 ) & 0.0519556707407407 & 0.157904108958712 & 0.329033051029254 \tabularnewline
Trimmed Mean ( 8 / 49 ) & 0.0593265078947368 & 0.154982835510019 & 0.382794053931873 \tabularnewline
Trimmed Mean ( 9 / 49 ) & 0.0663077522900763 & 0.152225368163565 & 0.435589370484093 \tabularnewline
Trimmed Mean ( 10 / 49 ) & 0.0709257794573643 & 0.149759919250021 & 0.47359653913111 \tabularnewline
Trimmed Mean ( 11 / 49 ) & 0.0753661066929134 & 0.147153333504563 & 0.512160376513499 \tabularnewline
Trimmed Mean ( 12 / 49 ) & 0.0808334044 & 0.144541974781359 & 0.559238273326985 \tabularnewline
Trimmed Mean ( 13 / 49 ) & 0.0852851670731707 & 0.141924173876466 & 0.60092065180809 \tabularnewline
Trimmed Mean ( 14 / 49 ) & 0.0892356657024793 & 0.140049263296737 & 0.637173403143198 \tabularnewline
Trimmed Mean ( 15 / 49 ) & 0.0892356657024793 & 0.138108200541548 & 0.646128653856683 \tabularnewline
Trimmed Mean ( 16 / 49 ) & 0.0981661158119658 & 0.136166030312639 & 0.720929556267264 \tabularnewline
Trimmed Mean ( 17 / 49 ) & 0.103049004782609 & 0.134180637058752 & 0.767987148082236 \tabularnewline
Trimmed Mean ( 18 / 49 ) & 0.108283323451327 & 0.132432118833903 & 0.817651521434442 \tabularnewline
Trimmed Mean ( 19 / 49 ) & 0.113512031981982 & 0.13066460320576 & 0.868728249250736 \tabularnewline
Trimmed Mean ( 20 / 49 ) & 0.118151885779817 & 0.128862526523443 & 0.916883200783138 \tabularnewline
Trimmed Mean ( 21 / 49 ) & 0.122520238785047 & 0.126974065626965 & 0.964923334383865 \tabularnewline
Trimmed Mean ( 22 / 49 ) & 0.127527862380952 & 0.124948969014114 & 1.02063957299678 \tabularnewline
Trimmed Mean ( 23 / 49 ) & 0.132647820873786 & 0.123106563455266 & 1.07750405137405 \tabularnewline
Trimmed Mean ( 24 / 49 ) & 0.137516787623762 & 0.121229469279684 & 1.13435114779314 \tabularnewline
Trimmed Mean ( 25 / 49 ) & 0.139934803535354 & 0.119665368064751 & 1.1693843072428 \tabularnewline
Trimmed Mean ( 26 / 49 ) & 0.139698510824742 & 0.118485552470406 & 1.17903413464384 \tabularnewline
Trimmed Mean ( 27 / 49 ) & 0.139307953157895 & 0.117220108441823 & 1.18843050914796 \tabularnewline
Trimmed Mean ( 28 / 49 ) & 0.138868339247312 & 0.115789124029134 & 1.19932109696564 \tabularnewline
Trimmed Mean ( 29 / 49 ) & 0.137108632417582 & 0.1144101363118 & 1.19839584880768 \tabularnewline
Trimmed Mean ( 30 / 49 ) & 0.137108632417582 & 0.113029678246181 & 1.21303213939048 \tabularnewline
Trimmed Mean ( 31 / 49 ) & 0.131320063793103 & 0.111476106816196 & 1.17801085401759 \tabularnewline
Trimmed Mean ( 32 / 49 ) & 0.128240653529412 & 0.109963541223291 & 1.16621065584826 \tabularnewline
Trimmed Mean ( 33 / 49 ) & 0.125502837951807 & 0.108482873047566 & 1.15689080152568 \tabularnewline
Trimmed Mean ( 34 / 49 ) & 0.122153648765432 & 0.106873450621426 & 1.14297468693261 \tabularnewline
Trimmed Mean ( 35 / 49 ) & 0.120806146202532 & 0.105565246760359 & 1.14437421319888 \tabularnewline
Trimmed Mean ( 36 / 49 ) & 0.119465916233766 & 0.104056034218273 & 1.14809215180322 \tabularnewline
Trimmed Mean ( 37 / 49 ) & 0.117419540666667 & 0.102740129048982 & 1.14287904593429 \tabularnewline
Trimmed Mean ( 38 / 49 ) & 0.115117884246575 & 0.10122907678693 & 1.13720175961773 \tabularnewline
Trimmed Mean ( 39 / 49 ) & 0.114013740140845 & 0.0997346769475968 & 1.14317049626331 \tabularnewline
Trimmed Mean ( 40 / 49 ) & 0.113286457246377 & 0.0984145651929896 & 1.15111474632056 \tabularnewline
Trimmed Mean ( 41 / 49 ) & 0.111876948507463 & 0.0969839226267182 & 1.15356180155825 \tabularnewline
Trimmed Mean ( 42 / 49 ) & 0.110600239230769 & 0.0955220964456311 & 1.15784978917124 \tabularnewline
Trimmed Mean ( 43 / 49 ) & 0.108879929365079 & 0.0942623025867581 & 1.1550739413019 \tabularnewline
Trimmed Mean ( 44 / 49 ) & 0.107131566393443 & 0.0929626411559774 & 1.15241526124125 \tabularnewline
Trimmed Mean ( 45 / 49 ) & 0.105277890677966 & 0.0914514050084229 & 1.15118942861807 \tabularnewline
Trimmed Mean ( 46 / 49 ) & 0.10379816754386 & 0.0898533365702959 & 1.15519547193057 \tabularnewline
Trimmed Mean ( 47 / 49 ) & 0.101233264545455 & 0.0884062112840291 & 1.1450922177879 \tabularnewline
Trimmed Mean ( 48 / 49 ) & 0.0973482556603774 & 0.0870621466531728 & 1.11814674232857 \tabularnewline
Trimmed Mean ( 49 / 49 ) & 0.092686481372549 & 0.0857188226036024 & 1.08128504985618 \tabularnewline
Median & -0.00947375 &  &  \tabularnewline
Midrange & -0.41355 &  &  \tabularnewline
Midmean - Weighted Average at Xnp & 0.0955491290540539 &  &  \tabularnewline
Midmean - Weighted Average at X(n+1)p & 0.117419540666667 &  &  \tabularnewline
Midmean - Empirical Distribution Function & 0.117419540666667 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Averaging & 0.117419540666667 &  &  \tabularnewline
Midmean - Empirical Distribution Function - Interpolation & 0.117419540666667 &  &  \tabularnewline
Midmean - Closest Observation & 0.0981398098684209 &  &  \tabularnewline
Midmean - True Basic - Statistics Graphics Toolkit & 0.117419540666667 &  &  \tabularnewline
Midmean - MS Excel (old versions) & 0.117419540666667 &  &  \tabularnewline
Number of observations & 149 &  &  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269000&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]1.0436241610979e-07[/C][C]0.18294838685585[/C][C]5.70447315242084e-07[/C][/ROW]
[ROW][C]Geometric Mean[/C][C]NaN[/C][C][/C][C][/C][/ROW]
[ROW][C]Harmonic Mean[/C][C]-1.0416959056445[/C][C][/C][C][/C][/ROW]
[ROW][C]Quadratic Mean[/C][C]2.22566318509054[/C][C][/C][C][/C][/ROW]
[ROW][C]Winsorized Mean ( 1 / 49 )[/C][C]0.000664466778523491[/C][C]0.181716843467403[/C][C]0.0036566053308244[/C][/ROW]
[ROW][C]Winsorized Mean ( 2 / 49 )[/C][C]-0.00974801644295303[/C][C]0.179687242573893[/C][C]-0.0542499083592112[/C][/ROW]
[ROW][C]Winsorized Mean ( 3 / 49 )[/C][C]0.00314413120805369[/C][C]0.176996224584843[/C][C]0.017763832055901[/C][/ROW]
[ROW][C]Winsorized Mean ( 4 / 49 )[/C][C]-0.00333076812080536[/C][C]0.174925213625526[/C][C]-0.0190410979170548[/C][/ROW]
[ROW][C]Winsorized Mean ( 5 / 49 )[/C][C]-0.00228412382550336[/C][C]0.173930357079336[/C][C]-0.0131324046236592[/C][/ROW]
[ROW][C]Winsorized Mean ( 6 / 49 )[/C][C]0.00417332583892615[/C][C]0.17279550853969[/C][C]0.0241518189575371[/C][/ROW]
[ROW][C]Winsorized Mean ( 7 / 49 )[/C][C]0.00590030570469799[/C][C]0.172503718423427[/C][C]0.0342039334492206[/C][/ROW]
[ROW][C]Winsorized Mean ( 8 / 49 )[/C][C]0.0102235271812081[/C][C]0.170061652308665[/C][C]0.0601165932614377[/C][/ROW]
[ROW][C]Winsorized Mean ( 9 / 49 )[/C][C]0.0303243325503356[/C][C]0.166738617258509[/C][C]0.181867482464012[/C][/ROW]
[ROW][C]Winsorized Mean ( 10 / 49 )[/C][C]0.0330786949664429[/C][C]0.166089514128856[/C][C]0.199161850403028[/C][/ROW]
[ROW][C]Winsorized Mean ( 11 / 49 )[/C][C]0.0249128560402685[/C][C]0.1643349786613[/C][C]0.151598011836633[/C][/ROW]
[ROW][C]Winsorized Mean ( 12 / 49 )[/C][C]0.0367340640939598[/C][C]0.162512607802461[/C][C]0.226038241528996[/C][/ROW]
[ROW][C]Winsorized Mean ( 13 / 49 )[/C][C]0.0435795674496645[/C][C]0.154886989835846[/C][C]0.281363641296479[/C][/ROW]
[ROW][C]Winsorized Mean ( 14 / 49 )[/C][C]0.0443387620805369[/C][C]0.153834631009575[/C][C]0.288223541016438[/C][/ROW]
[ROW][C]Winsorized Mean ( 15 / 49 )[/C][C]0.0353588963087248[/C][C]0.15210728373871[/C][C]0.232460244109442[/C][/ROW]
[ROW][C]Winsorized Mean ( 16 / 49 )[/C][C]0.0378673526845637[/C][C]0.15068309173261[/C][C]0.251304590642193[/C][/ROW]
[ROW][C]Winsorized Mean ( 17 / 49 )[/C][C]0.0355649365771812[/C][C]0.146697783296946[/C][C]0.242436768830996[/C][/ROW]
[ROW][C]Winsorized Mean ( 18 / 49 )[/C][C]0.0381695003355704[/C][C]0.14508361120048[/C][C]0.263086230207124[/C][/ROW]
[ROW][C]Winsorized Mean ( 19 / 49 )[/C][C]0.0490211781879194[/C][C]0.143561599531949[/C][C]0.341464419090774[/C][/ROW]
[ROW][C]Winsorized Mean ( 20 / 49 )[/C][C]0.0554117822147651[/C][C]0.142414433950187[/C][C]0.389088245325938[/C][/ROW]
[ROW][C]Winsorized Mean ( 21 / 49 )[/C][C]0.0484141312080537[/C][C]0.141552045377649[/C][C]0.342023536847446[/C][/ROW]
[ROW][C]Winsorized Mean ( 22 / 49 )[/C][C]0.0496632587248322[/C][C]0.137570943407308[/C][C]0.361001076933764[/C][/ROW]
[ROW][C]Winsorized Mean ( 23 / 49 )[/C][C]0.0567376882550335[/C][C]0.135748912003091[/C][C]0.417960537714966[/C][/ROW]
[ROW][C]Winsorized Mean ( 24 / 49 )[/C][C]0.0989583593959732[/C][C]0.130632701501836[/C][C]0.757531293912514[/C][/ROW]
[ROW][C]Winsorized Mean ( 25 / 49 )[/C][C]0.14378050704698[/C][C]0.12489015733016[/C][C]1.15125571238477[/C][/ROW]
[ROW][C]Winsorized Mean ( 26 / 49 )[/C][C]0.146172856040268[/C][C]0.124061763707601[/C][C]1.17822648712927[/C][/ROW]
[ROW][C]Winsorized Mean ( 27 / 49 )[/C][C]0.146716480201342[/C][C]0.123890600587021[/C][C]1.18424222262357[/C][/ROW]
[ROW][C]Winsorized Mean ( 28 / 49 )[/C][C]0.16896050704698[/C][C]0.121354978083093[/C][C]1.39228328096513[/C][/ROW]
[ROW][C]Winsorized Mean ( 29 / 49 )[/C][C]0.187635339261745[/C][C]0.119329633527228[/C][C]1.5724119291704[/C][/ROW]
[ROW][C]Winsorized Mean ( 30 / 49 )[/C][C]0.18449439966443[/C][C]0.1189649017005[/C][C]1.55083051410326[/C][/ROW]
[ROW][C]Winsorized Mean ( 31 / 49 )[/C][C]0.185778090939597[/C][C]0.116325173510205[/C][C]1.59705836091704[/C][/ROW]
[ROW][C]Winsorized Mean ( 32 / 49 )[/C][C]0.177043594295302[/C][C]0.113812358583949[/C][C]1.55557442529154[/C][/ROW]
[ROW][C]Winsorized Mean ( 33 / 49 )[/C][C]0.185585943288591[/C][C]0.112732708744914[/C][C]1.64624752970786[/C][/ROW]
[ROW][C]Winsorized Mean ( 34 / 49 )[/C][C]0.146444869463087[/C][C]0.107669000516264[/C][C]1.3601395829895[/C][/ROW]
[ROW][C]Winsorized Mean ( 35 / 49 )[/C][C]0.145047218456376[/C][C]0.107383668826134[/C][C]1.35073815266289[/C][/ROW]
[ROW][C]Winsorized Mean ( 36 / 49 )[/C][C]0.156547889597315[/C][C]0.103282768569687[/C][C]1.51572127437395[/C][/ROW]
[ROW][C]Winsorized Mean ( 37 / 49 )[/C][C]0.159142856040268[/C][C]0.102806278063511[/C][C]1.54798772057435[/C][/ROW]
[ROW][C]Winsorized Mean ( 38 / 49 )[/C][C]0.135111043959732[/C][C]0.100308681245359[/C][C]1.3469526493848[/C][/ROW]
[ROW][C]Winsorized Mean ( 39 / 49 )[/C][C]0.127148762080537[/C][C]0.0964452463642261[/C][C]1.31835177858698[/C][/ROW]
[ROW][C]Winsorized Mean ( 40 / 49 )[/C][C]0.138638694966443[/C][C]0.0950887979860386[/C][C]1.4579918760441[/C][/ROW]
[ROW][C]Winsorized Mean ( 41 / 49 )[/C][C]0.134712050671141[/C][C]0.0929557011343705[/C][C]1.44920697737958[/C][/ROW]
[ROW][C]Winsorized Mean ( 42 / 49 )[/C][C]0.14115017147651[/C][C]0.0889235225040779[/C][C]1.58732096414688[/C][/ROW]
[ROW][C]Winsorized Mean ( 43 / 49 )[/C][C]0.139658158053691[/C][C]0.0869818171712413[/C][C]1.60560175213109[/C][/ROW]
[ROW][C]Winsorized Mean ( 44 / 49 )[/C][C]0.139427822483221[/C][C]0.0862187693643171[/C][C]1.61714002080069[/C][/ROW]
[ROW][C]Winsorized Mean ( 45 / 49 )[/C][C]0.130750976845638[/C][C]0.0842955480269964[/C][C]1.55110180674979[/C][/ROW]
[ROW][C]Winsorized Mean ( 46 / 49 )[/C][C]0.147349876174497[/C][C]0.0805732337475511[/C][C]1.82876954692134[/C][/ROW]
[ROW][C]Winsorized Mean ( 47 / 49 )[/C][C]0.166183312416107[/C][C]0.0772818345629688[/C][C]2.15035413374798[/C][/ROW]
[ROW][C]Winsorized Mean ( 48 / 49 )[/C][C]0.173939017114094[/C][C]0.0747815904586184[/C][C]2.32596038740773[/C][/ROW]
[ROW][C]Winsorized Mean ( 49 / 49 )[/C][C]0.167828815771812[/C][C]0.0707779288267691[/C][C]2.37120269770224[/C][/ROW]
[ROW][C]Trimmed Mean ( 1 / 49 )[/C][C]0.00562663639455783[/C][C]0.177536478053921[/C][C]0.0316928467672369[/C][/ROW]
[ROW][C]Trimmed Mean ( 2 / 49 )[/C][C]0.0107256934482759[/C][C]0.172975897977999[/C][C]0.0620068667002385[/C][/ROW]
[ROW][C]Trimmed Mean ( 3 / 49 )[/C][C]0.0213920667832168[/C][C]0.169161054971725[/C][C]0.126459762188126[/C][/ROW]
[ROW][C]Trimmed Mean ( 4 / 49 )[/C][C]0.0278198265957447[/C][C]0.166075832175295[/C][C]0.167512793591668[/C][/ROW]
[ROW][C]Trimmed Mean ( 5 / 49 )[/C][C]0.0361677377697842[/C][C]0.163348549228484[/C][C]0.221414502550583[/C][/ROW]
[ROW][C]Trimmed Mean ( 6 / 49 )[/C][C]0.0445317193430657[/C][C]0.160625877713786[/C][C]0.277238761131724[/C][/ROW]
[ROW][C]Trimmed Mean ( 7 / 49 )[/C][C]0.0519556707407407[/C][C]0.157904108958712[/C][C]0.329033051029254[/C][/ROW]
[ROW][C]Trimmed Mean ( 8 / 49 )[/C][C]0.0593265078947368[/C][C]0.154982835510019[/C][C]0.382794053931873[/C][/ROW]
[ROW][C]Trimmed Mean ( 9 / 49 )[/C][C]0.0663077522900763[/C][C]0.152225368163565[/C][C]0.435589370484093[/C][/ROW]
[ROW][C]Trimmed Mean ( 10 / 49 )[/C][C]0.0709257794573643[/C][C]0.149759919250021[/C][C]0.47359653913111[/C][/ROW]
[ROW][C]Trimmed Mean ( 11 / 49 )[/C][C]0.0753661066929134[/C][C]0.147153333504563[/C][C]0.512160376513499[/C][/ROW]
[ROW][C]Trimmed Mean ( 12 / 49 )[/C][C]0.0808334044[/C][C]0.144541974781359[/C][C]0.559238273326985[/C][/ROW]
[ROW][C]Trimmed Mean ( 13 / 49 )[/C][C]0.0852851670731707[/C][C]0.141924173876466[/C][C]0.60092065180809[/C][/ROW]
[ROW][C]Trimmed Mean ( 14 / 49 )[/C][C]0.0892356657024793[/C][C]0.140049263296737[/C][C]0.637173403143198[/C][/ROW]
[ROW][C]Trimmed Mean ( 15 / 49 )[/C][C]0.0892356657024793[/C][C]0.138108200541548[/C][C]0.646128653856683[/C][/ROW]
[ROW][C]Trimmed Mean ( 16 / 49 )[/C][C]0.0981661158119658[/C][C]0.136166030312639[/C][C]0.720929556267264[/C][/ROW]
[ROW][C]Trimmed Mean ( 17 / 49 )[/C][C]0.103049004782609[/C][C]0.134180637058752[/C][C]0.767987148082236[/C][/ROW]
[ROW][C]Trimmed Mean ( 18 / 49 )[/C][C]0.108283323451327[/C][C]0.132432118833903[/C][C]0.817651521434442[/C][/ROW]
[ROW][C]Trimmed Mean ( 19 / 49 )[/C][C]0.113512031981982[/C][C]0.13066460320576[/C][C]0.868728249250736[/C][/ROW]
[ROW][C]Trimmed Mean ( 20 / 49 )[/C][C]0.118151885779817[/C][C]0.128862526523443[/C][C]0.916883200783138[/C][/ROW]
[ROW][C]Trimmed Mean ( 21 / 49 )[/C][C]0.122520238785047[/C][C]0.126974065626965[/C][C]0.964923334383865[/C][/ROW]
[ROW][C]Trimmed Mean ( 22 / 49 )[/C][C]0.127527862380952[/C][C]0.124948969014114[/C][C]1.02063957299678[/C][/ROW]
[ROW][C]Trimmed Mean ( 23 / 49 )[/C][C]0.132647820873786[/C][C]0.123106563455266[/C][C]1.07750405137405[/C][/ROW]
[ROW][C]Trimmed Mean ( 24 / 49 )[/C][C]0.137516787623762[/C][C]0.121229469279684[/C][C]1.13435114779314[/C][/ROW]
[ROW][C]Trimmed Mean ( 25 / 49 )[/C][C]0.139934803535354[/C][C]0.119665368064751[/C][C]1.1693843072428[/C][/ROW]
[ROW][C]Trimmed Mean ( 26 / 49 )[/C][C]0.139698510824742[/C][C]0.118485552470406[/C][C]1.17903413464384[/C][/ROW]
[ROW][C]Trimmed Mean ( 27 / 49 )[/C][C]0.139307953157895[/C][C]0.117220108441823[/C][C]1.18843050914796[/C][/ROW]
[ROW][C]Trimmed Mean ( 28 / 49 )[/C][C]0.138868339247312[/C][C]0.115789124029134[/C][C]1.19932109696564[/C][/ROW]
[ROW][C]Trimmed Mean ( 29 / 49 )[/C][C]0.137108632417582[/C][C]0.1144101363118[/C][C]1.19839584880768[/C][/ROW]
[ROW][C]Trimmed Mean ( 30 / 49 )[/C][C]0.137108632417582[/C][C]0.113029678246181[/C][C]1.21303213939048[/C][/ROW]
[ROW][C]Trimmed Mean ( 31 / 49 )[/C][C]0.131320063793103[/C][C]0.111476106816196[/C][C]1.17801085401759[/C][/ROW]
[ROW][C]Trimmed Mean ( 32 / 49 )[/C][C]0.128240653529412[/C][C]0.109963541223291[/C][C]1.16621065584826[/C][/ROW]
[ROW][C]Trimmed Mean ( 33 / 49 )[/C][C]0.125502837951807[/C][C]0.108482873047566[/C][C]1.15689080152568[/C][/ROW]
[ROW][C]Trimmed Mean ( 34 / 49 )[/C][C]0.122153648765432[/C][C]0.106873450621426[/C][C]1.14297468693261[/C][/ROW]
[ROW][C]Trimmed Mean ( 35 / 49 )[/C][C]0.120806146202532[/C][C]0.105565246760359[/C][C]1.14437421319888[/C][/ROW]
[ROW][C]Trimmed Mean ( 36 / 49 )[/C][C]0.119465916233766[/C][C]0.104056034218273[/C][C]1.14809215180322[/C][/ROW]
[ROW][C]Trimmed Mean ( 37 / 49 )[/C][C]0.117419540666667[/C][C]0.102740129048982[/C][C]1.14287904593429[/C][/ROW]
[ROW][C]Trimmed Mean ( 38 / 49 )[/C][C]0.115117884246575[/C][C]0.10122907678693[/C][C]1.13720175961773[/C][/ROW]
[ROW][C]Trimmed Mean ( 39 / 49 )[/C][C]0.114013740140845[/C][C]0.0997346769475968[/C][C]1.14317049626331[/C][/ROW]
[ROW][C]Trimmed Mean ( 40 / 49 )[/C][C]0.113286457246377[/C][C]0.0984145651929896[/C][C]1.15111474632056[/C][/ROW]
[ROW][C]Trimmed Mean ( 41 / 49 )[/C][C]0.111876948507463[/C][C]0.0969839226267182[/C][C]1.15356180155825[/C][/ROW]
[ROW][C]Trimmed Mean ( 42 / 49 )[/C][C]0.110600239230769[/C][C]0.0955220964456311[/C][C]1.15784978917124[/C][/ROW]
[ROW][C]Trimmed Mean ( 43 / 49 )[/C][C]0.108879929365079[/C][C]0.0942623025867581[/C][C]1.1550739413019[/C][/ROW]
[ROW][C]Trimmed Mean ( 44 / 49 )[/C][C]0.107131566393443[/C][C]0.0929626411559774[/C][C]1.15241526124125[/C][/ROW]
[ROW][C]Trimmed Mean ( 45 / 49 )[/C][C]0.105277890677966[/C][C]0.0914514050084229[/C][C]1.15118942861807[/C][/ROW]
[ROW][C]Trimmed Mean ( 46 / 49 )[/C][C]0.10379816754386[/C][C]0.0898533365702959[/C][C]1.15519547193057[/C][/ROW]
[ROW][C]Trimmed Mean ( 47 / 49 )[/C][C]0.101233264545455[/C][C]0.0884062112840291[/C][C]1.1450922177879[/C][/ROW]
[ROW][C]Trimmed Mean ( 48 / 49 )[/C][C]0.0973482556603774[/C][C]0.0870621466531728[/C][C]1.11814674232857[/C][/ROW]
[ROW][C]Trimmed Mean ( 49 / 49 )[/C][C]0.092686481372549[/C][C]0.0857188226036024[/C][C]1.08128504985618[/C][/ROW]
[ROW][C]Median[/C][C]-0.00947375[/C][C][/C][C][/C][/ROW]
[ROW][C]Midrange[/C][C]-0.41355[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at Xnp[/C][C]0.0955491290540539[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Weighted Average at X(n+1)p[/C][C]0.117419540666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function[/C][C]0.117419540666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Averaging[/C][C]0.117419540666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Empirical Distribution Function - Interpolation[/C][C]0.117419540666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - Closest Observation[/C][C]0.0981398098684209[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - True Basic - Statistics Graphics Toolkit[/C][C]0.117419540666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Midmean - MS Excel (old versions)[/C][C]0.117419540666667[/C][C][/C][C][/C][/ROW]
[ROW][C]Number of observations[/C][C]149[/C][C][/C][C][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269000&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269000&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
Measure	Value	S.E.	Value/S.E.
Arithmetic Mean	1.0436241610979e-07	0.18294838685585	5.70447315242084e-07
Geometric Mean	NaN
Harmonic Mean	-1.0416959056445
Quadratic Mean	2.22566318509054
Winsorized Mean ( 1 / 49 )	0.000664466778523491	0.181716843467403	0.0036566053308244
Winsorized Mean ( 2 / 49 )	-0.00974801644295303	0.179687242573893	-0.0542499083592112
Winsorized Mean ( 3 / 49 )	0.00314413120805369	0.176996224584843	0.017763832055901
Winsorized Mean ( 4 / 49 )	-0.00333076812080536	0.174925213625526	-0.0190410979170548
Winsorized Mean ( 5 / 49 )	-0.00228412382550336	0.173930357079336	-0.0131324046236592
Winsorized Mean ( 6 / 49 )	0.00417332583892615	0.17279550853969	0.0241518189575371
Winsorized Mean ( 7 / 49 )	0.00590030570469799	0.172503718423427	0.0342039334492206
Winsorized Mean ( 8 / 49 )	0.0102235271812081	0.170061652308665	0.0601165932614377
Winsorized Mean ( 9 / 49 )	0.0303243325503356	0.166738617258509	0.181867482464012
Winsorized Mean ( 10 / 49 )	0.0330786949664429	0.166089514128856	0.199161850403028
Winsorized Mean ( 11 / 49 )	0.0249128560402685	0.1643349786613	0.151598011836633
Winsorized Mean ( 12 / 49 )	0.0367340640939598	0.162512607802461	0.226038241528996
Winsorized Mean ( 13 / 49 )	0.0435795674496645	0.154886989835846	0.281363641296479
Winsorized Mean ( 14 / 49 )	0.0443387620805369	0.153834631009575	0.288223541016438
Winsorized Mean ( 15 / 49 )	0.0353588963087248	0.15210728373871	0.232460244109442
Winsorized Mean ( 16 / 49 )	0.0378673526845637	0.15068309173261	0.251304590642193
Winsorized Mean ( 17 / 49 )	0.0355649365771812	0.146697783296946	0.242436768830996
Winsorized Mean ( 18 / 49 )	0.0381695003355704	0.14508361120048	0.263086230207124
Winsorized Mean ( 19 / 49 )	0.0490211781879194	0.143561599531949	0.341464419090774
Winsorized Mean ( 20 / 49 )	0.0554117822147651	0.142414433950187	0.389088245325938
Winsorized Mean ( 21 / 49 )	0.0484141312080537	0.141552045377649	0.342023536847446
Winsorized Mean ( 22 / 49 )	0.0496632587248322	0.137570943407308	0.361001076933764
Winsorized Mean ( 23 / 49 )	0.0567376882550335	0.135748912003091	0.417960537714966
Winsorized Mean ( 24 / 49 )	0.0989583593959732	0.130632701501836	0.757531293912514
Winsorized Mean ( 25 / 49 )	0.14378050704698	0.12489015733016	1.15125571238477
Winsorized Mean ( 26 / 49 )	0.146172856040268	0.124061763707601	1.17822648712927
Winsorized Mean ( 27 / 49 )	0.146716480201342	0.123890600587021	1.18424222262357
Winsorized Mean ( 28 / 49 )	0.16896050704698	0.121354978083093	1.39228328096513
Winsorized Mean ( 29 / 49 )	0.187635339261745	0.119329633527228	1.5724119291704
Winsorized Mean ( 30 / 49 )	0.18449439966443	0.1189649017005	1.55083051410326
Winsorized Mean ( 31 / 49 )	0.185778090939597	0.116325173510205	1.59705836091704
Winsorized Mean ( 32 / 49 )	0.177043594295302	0.113812358583949	1.55557442529154
Winsorized Mean ( 33 / 49 )	0.185585943288591	0.112732708744914	1.64624752970786
Winsorized Mean ( 34 / 49 )	0.146444869463087	0.107669000516264	1.3601395829895
Winsorized Mean ( 35 / 49 )	0.145047218456376	0.107383668826134	1.35073815266289
Winsorized Mean ( 36 / 49 )	0.156547889597315	0.103282768569687	1.51572127437395
Winsorized Mean ( 37 / 49 )	0.159142856040268	0.102806278063511	1.54798772057435
Winsorized Mean ( 38 / 49 )	0.135111043959732	0.100308681245359	1.3469526493848
Winsorized Mean ( 39 / 49 )	0.127148762080537	0.0964452463642261	1.31835177858698
Winsorized Mean ( 40 / 49 )	0.138638694966443	0.0950887979860386	1.4579918760441
Winsorized Mean ( 41 / 49 )	0.134712050671141	0.0929557011343705	1.44920697737958
Winsorized Mean ( 42 / 49 )	0.14115017147651	0.0889235225040779	1.58732096414688
Winsorized Mean ( 43 / 49 )	0.139658158053691	0.0869818171712413	1.60560175213109
Winsorized Mean ( 44 / 49 )	0.139427822483221	0.0862187693643171	1.61714002080069
Winsorized Mean ( 45 / 49 )	0.130750976845638	0.0842955480269964	1.55110180674979
Winsorized Mean ( 46 / 49 )	0.147349876174497	0.0805732337475511	1.82876954692134
Winsorized Mean ( 47 / 49 )	0.166183312416107	0.0772818345629688	2.15035413374798
Winsorized Mean ( 48 / 49 )	0.173939017114094	0.0747815904586184	2.32596038740773
Winsorized Mean ( 49 / 49 )	0.167828815771812	0.0707779288267691	2.37120269770224
Trimmed Mean ( 1 / 49 )	0.00562663639455783	0.177536478053921	0.0316928467672369
Trimmed Mean ( 2 / 49 )	0.0107256934482759	0.172975897977999	0.0620068667002385
Trimmed Mean ( 3 / 49 )	0.0213920667832168	0.169161054971725	0.126459762188126
Trimmed Mean ( 4 / 49 )	0.0278198265957447	0.166075832175295	0.167512793591668
Trimmed Mean ( 5 / 49 )	0.0361677377697842	0.163348549228484	0.221414502550583
Trimmed Mean ( 6 / 49 )	0.0445317193430657	0.160625877713786	0.277238761131724
Trimmed Mean ( 7 / 49 )	0.0519556707407407	0.157904108958712	0.329033051029254
Trimmed Mean ( 8 / 49 )	0.0593265078947368	0.154982835510019	0.382794053931873
Trimmed Mean ( 9 / 49 )	0.0663077522900763	0.152225368163565	0.435589370484093
Trimmed Mean ( 10 / 49 )	0.0709257794573643	0.149759919250021	0.47359653913111
Trimmed Mean ( 11 / 49 )	0.0753661066929134	0.147153333504563	0.512160376513499
Trimmed Mean ( 12 / 49 )	0.0808334044	0.144541974781359	0.559238273326985
Trimmed Mean ( 13 / 49 )	0.0852851670731707	0.141924173876466	0.60092065180809
Trimmed Mean ( 14 / 49 )	0.0892356657024793	0.140049263296737	0.637173403143198
Trimmed Mean ( 15 / 49 )	0.0892356657024793	0.138108200541548	0.646128653856683
Trimmed Mean ( 16 / 49 )	0.0981661158119658	0.136166030312639	0.720929556267264
Trimmed Mean ( 17 / 49 )	0.103049004782609	0.134180637058752	0.767987148082236
Trimmed Mean ( 18 / 49 )	0.108283323451327	0.132432118833903	0.817651521434442
Trimmed Mean ( 19 / 49 )	0.113512031981982	0.13066460320576	0.868728249250736
Trimmed Mean ( 20 / 49 )	0.118151885779817	0.128862526523443	0.916883200783138
Trimmed Mean ( 21 / 49 )	0.122520238785047	0.126974065626965	0.964923334383865
Trimmed Mean ( 22 / 49 )	0.127527862380952	0.124948969014114	1.02063957299678
Trimmed Mean ( 23 / 49 )	0.132647820873786	0.123106563455266	1.07750405137405
Trimmed Mean ( 24 / 49 )	0.137516787623762	0.121229469279684	1.13435114779314
Trimmed Mean ( 25 / 49 )	0.139934803535354	0.119665368064751	1.1693843072428
Trimmed Mean ( 26 / 49 )	0.139698510824742	0.118485552470406	1.17903413464384
Trimmed Mean ( 27 / 49 )	0.139307953157895	0.117220108441823	1.18843050914796
Trimmed Mean ( 28 / 49 )	0.138868339247312	0.115789124029134	1.19932109696564
Trimmed Mean ( 29 / 49 )	0.137108632417582	0.1144101363118	1.19839584880768
Trimmed Mean ( 30 / 49 )	0.137108632417582	0.113029678246181	1.21303213939048
Trimmed Mean ( 31 / 49 )	0.131320063793103	0.111476106816196	1.17801085401759
Trimmed Mean ( 32 / 49 )	0.128240653529412	0.109963541223291	1.16621065584826
Trimmed Mean ( 33 / 49 )	0.125502837951807	0.108482873047566	1.15689080152568
Trimmed Mean ( 34 / 49 )	0.122153648765432	0.106873450621426	1.14297468693261
Trimmed Mean ( 35 / 49 )	0.120806146202532	0.105565246760359	1.14437421319888
Trimmed Mean ( 36 / 49 )	0.119465916233766	0.104056034218273	1.14809215180322
Trimmed Mean ( 37 / 49 )	0.117419540666667	0.102740129048982	1.14287904593429
Trimmed Mean ( 38 / 49 )	0.115117884246575	0.10122907678693	1.13720175961773
Trimmed Mean ( 39 / 49 )	0.114013740140845	0.0997346769475968	1.14317049626331
Trimmed Mean ( 40 / 49 )	0.113286457246377	0.0984145651929896	1.15111474632056
Trimmed Mean ( 41 / 49 )	0.111876948507463	0.0969839226267182	1.15356180155825
Trimmed Mean ( 42 / 49 )	0.110600239230769	0.0955220964456311	1.15784978917124
Trimmed Mean ( 43 / 49 )	0.108879929365079	0.0942623025867581	1.1550739413019
Trimmed Mean ( 44 / 49 )	0.107131566393443	0.0929626411559774	1.15241526124125
Trimmed Mean ( 45 / 49 )	0.105277890677966	0.0914514050084229	1.15118942861807
Trimmed Mean ( 46 / 49 )	0.10379816754386	0.0898533365702959	1.15519547193057
Trimmed Mean ( 47 / 49 )	0.101233264545455	0.0884062112840291	1.1450922177879
Trimmed Mean ( 48 / 49 )	0.0973482556603774	0.0870621466531728	1.11814674232857
Trimmed Mean ( 49 / 49 )	0.092686481372549	0.0857188226036024	1.08128504985618
Median	-0.00947375
Midrange	-0.41355
Midmean - Weighted Average at Xnp	0.0955491290540539
Midmean - Weighted Average at X(n+1)p	0.117419540666667
Midmean - Empirical Distribution Function	0.117419540666667
Midmean - Empirical Distribution Function - Averaging	0.117419540666667
Midmean - Empirical Distribution Function - Interpolation	0.117419540666667
Midmean - Closest Observation	0.0981398098684209
Midmean - True Basic - Statistics Graphics Toolkit	0.117419540666667
Midmean - MS Excel (old versions)	0.117419540666667
Number of observations	149

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code