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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleskewkurt.wasp
Title produced by softwareSkewness and Kurtosis
Date of computationTue, 30 Nov 2010 15:09:02 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/30/t1291129620amwdn9og5oeqavl.htm/, Retrieved Mon, 29 Apr 2024 11:41:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103590, Retrieved Mon, 29 Apr 2024 11:41:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106

Tree of Dependent Computations

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

Dataseries X:
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49.50646022
49.49518505
51.99371397
49.97817601
52.24827352
49.12480553
52.20827339
47.3101559
53.92558192
51.26831714
46.50264291
47.61484199
49.17153718
52.70934875
56.11929742
53.11686043
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46.25032573
48.48158445
44.09320256
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43.63689192
44.75281715
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51.47542433
49.79866153
52.68196844
54.52949376
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49.45671151
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54.30866848
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48.85675698
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54.03122663
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51.86656954
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51.57754823
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53.02541464
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48.10369577
47.18390515
47.09472648
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53.47881133
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51.24142395
48.42986085
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52.97880932
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48.59366936
54.18505817
52.10820243
51.3461695
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47.72926014
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55.04590289
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52.54053744
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53.02496539
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48.32932772
51.34978975
45.66005312
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49.6756224
44.96131215
50.33212112
51.92236649
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50.04314702
48.83032836
49.29899761
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47.30391035
50.40640391
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51.88444303
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49.97977715
48.47252605
48.34876686
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50.07287407
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52.80456385
52.30170405
48.61520898
49.87067781
47.27691269
50.60527247
53.42861307
55.54532274
52.07062663
46.39949541
48.5235471
48.8307635
47.89125253
49.78049778
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54.47542283
54.74289145
51.50223438
46.65239535
44.97698605
49.28303246
50.30544427
53.75098944
43.43395795
48.63592373
48.86573016
49.14146586
52.7842785
44.06587202
51.34816321
52.58404033
49.00256893
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48.1430056
51.28974776
53.43965867
52.60303532
49.41512467
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51.294571
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49.74509931
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49.44196508
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43.564226
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49.0501752
50.06998942
52.01387259
51.94296058
49.86452402
55.81609072
50.06014867
53.18440141
53.35885173
45.07524315
45.16131523
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51.28257799
51.11107025
49.16619084
49.51466771
55.48800941
50.73394446
53.82468943
48.02203243
45.00801155
52.21231189

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.516743FISHER 4th Cent. Mom.234.346268
FISHER beta 10.000351FISHER beta 22.810255
FISHER gamma 10.018726FISHER gamma 2-0.189745
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.170942FISHER Test 2-0.866065
FISHER Test 1 Probability0.857200FISHER Test 2 Probability0.384400
Pearson 20.082762
Yule using Quartile definition:Weighted Average at Xnp0.050879
Yule using Quartile definition:Weighted Average at X(n+1)p0.054135
Yule using Quartile definition:Empirical Distribution Function0.050879
Yule using Quartile definition:Empirical Distribution Function - Averaging0.054568
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.055003
Yule using Quartile definition:Closest Observation0.050879
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.055003
Yule using Quartile definition:MS Excel (old versions)0.053703
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.018782Kurtosis (small sample)-0.179560
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.171970TEST 1 (small sample)-0.823647
TEST 1 Prob. (small sample)0.857200TEST 1 Prob. (small sample)0.406600
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.516743 & FISHER 4th Cent. Mom.234.346268 \tabularnewline FISHER beta 10.000351 & FISHER beta 22.810255 \tabularnewline FISHER gamma 10.018726 & FISHER gamma 2-0.189745 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.170942 & FISHER Test 2-0.866065 \tabularnewline FISHER Test 1 Probability0.857200 & FISHER Test 2 Probability0.384400 \tabularnewline Pearson 20.082762 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.050879 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.054135 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.050879 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.054568 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.055003 & & \tabularnewline Yule using Quartile definition:Closest Observation0.050879 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.055003 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.053703 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.018782 & Kurtosis (small sample)-0.179560 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.171970 & TEST 1 (small sample)-0.823647 \tabularnewline TEST 1 Prob. (small sample)0.857200 & TEST 1 Prob. (small sample)0.406600 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103590&T=0

[TABLE]

[ROW][C]Skewness and Kurtosis - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure[/C]
Value[/C]Kurtosis Measure[/C]Value[/C][/ROW] [ROW][C]FISHER 3rd Cent. Mom.[/C]0.516743[/C][C]FISHER 4th Cent. Mom.[/C]234.346268[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.000351[/C][C]FISHER beta 2[/C]2.810255[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.018726[/C][C]FISHER gamma 2[/C]-0.189745[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]0.170942[/C][C]FISHER Test 2[/C]-0.866065[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.857200[/C][C]FISHER Test 2 Probability[/C]0.384400[/C][/ROW] [ROW][C]Pearson 2[/C]0.082762[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.050879[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.054135[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.050879[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.054568[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.055003[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.050879[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.055003[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.053703[/C][C][/C][C][/C][/ROW] [ROW][C]Skewness Measure (small sample)[/C]Value[/C]Kurtosis Measure (small sample)[/C]Value[/C][/ROW] [ROW][C]Skewness (small sample)[/C]0.018782[/C][C]Kurtosis (small sample)[/C]-0.179560[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]0.171970[/C][C]TEST 1 (small sample)[/C]-0.823647[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.857200[/C][C]TEST 1 Prob. (small sample)[/C]0.406600[/C][/ROW] [ROW][C]Observations[/C]500[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103590&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103590&T=0

As an alternative you can also use a QR Code:  
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The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.516743FISHER 4th Cent. Mom.234.346268
FISHER beta 10.000351FISHER beta 22.810255
FISHER gamma 10.018726FISHER gamma 2-0.189745
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.170942FISHER Test 2-0.866065
FISHER Test 1 Probability0.857200FISHER Test 2 Probability0.384400
Pearson 20.082762
Yule using Quartile definition:Weighted Average at Xnp0.050879
Yule using Quartile definition:Weighted Average at X(n+1)p0.054135
Yule using Quartile definition:Empirical Distribution Function0.050879
Yule using Quartile definition:Empirical Distribution Function - Averaging0.054568
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.055003
Yule using Quartile definition:Closest Observation0.050879
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.055003
Yule using Quartile definition:MS Excel (old versions)0.053703
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.018782Kurtosis (small sample)-0.179560
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.171970TEST 1 (small sample)-0.823647
TEST 1 Prob. (small sample)0.857200TEST 1 Prob. (small sample)0.406600
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0188000.857200Trim. Kurtosis (0/500)-0.1796000.406600
Trim. Skewness (1/500)0.0062000.952200Trim. Kurtosis (1/500)-0.2618000.230200
Trim. Skewness (2/500)-0.0096000.928200Trim. Kurtosis (2/500)-0.3497000.109600
Trim. Skewness (3/500)-0.0207000.849200Trim. Kurtosis (3/500)-0.3924000.073400
Trim. Skewness (4/500)-0.0301000.779400Trim. Kurtosis (4/500)-0.4329000.047800
Trim. Skewness (5/500)-0.0409000.704000Trim. Kurtosis (5/500)-0.4693000.032400
Trim. Skewness (6/500)-0.0507000.645600Trim. Kurtosis (6/500)-0.5065000.021400
Trim. Skewness (7/500)-0.0602000.582400Trim. Kurtosis (7/500)-0.5452000.013600
Trim. Skewness (8/500)-0.0608000.582400Trim. Kurtosis (8/500)-0.5670000.010400
Trim. Skewness (9/500)-0.0604000.582400Trim. Kurtosis (9/500)-0.5850000.008200
Trim. Skewness (10/500)-0.0604000.582400Trim. Kurtosis (10/500)-0.6041000.006600
Trim. Skewness (11/500)-0.0611000.582400Trim. Kurtosis (11/500)-0.6193000.005400
Trim. Skewness (12/500)-0.0623000.575400Trim. Kurtosis (12/500)-0.6332000.004600
Trim. Skewness (13/500)-0.0634000.568600Trim. Kurtosis (13/500)-0.6471000.003800
Trim. Skewness (14/500)-0.0628000.575400Trim. Kurtosis (14/500)-0.6597000.003200
Trim. Skewness (15/500)-0.0616000.582400Trim. Kurtosis (15/500)-0.6731000.002600
Trim. Skewness (16/500)-0.0598000.589200Trim. Kurtosis (16/500)-0.6877000.002200
Trim. Skewness (17/500)-0.0575000.610000Trim. Kurtosis (17/500)-0.7029000.001800
Trim. Skewness (18/500)-0.0532000.638400Trim. Kurtosis (18/500)-0.7158000.001600
Trim. Skewness (19/500)-0.0496000.660000Trim. Kurtosis (19/500)-0.7250000.001400
Trim. Skewness (20/500)-0.0476000.674400Trim. Kurtosis (20/500)-0.7317000.001200
Trim. Skewness (21/500)-0.0457000.681800Trim. Kurtosis (21/500)-0.7390000.001200
Trim. Skewness (22/500)-0.0435000.696600Trim. Kurtosis (22/500)-0.7459000.001000
Trim. Skewness (23/500)-0.0415000.711400Trim. Kurtosis (23/500)-0.7529000.001000
Trim. Skewness (24/500)-0.0384000.733800Trim. Kurtosis (24/500)-0.7593000.001000
Trim. Skewness (25/500)-0.0356000.756600Trim. Kurtosis (25/500)-0.7658000.000800
Trim. Skewness (26/500)-0.0324000.771800Trim. Kurtosis (26/500)-0.7734000.000800
Trim. Skewness (27/500)-0.0288000.802600Trim. Kurtosis (27/500)-0.7808000.000600
Trim. Skewness (28/500)-0.0263000.818000Trim. Kurtosis (28/500)-0.7872000.000600
Trim. Skewness (29/500)-0.0232000.841400Trim. Kurtosis (29/500)-0.7939000.000600
Trim. Skewness (30/500)-0.0195000.865000Trim. Kurtosis (30/500)-0.8005000.000600
Trim. Skewness (31/500)-0.0151000.896600Trim. Kurtosis (31/500)-0.8079000.000600
Trim. Skewness (32/500)-0.0103000.928200Trim. Kurtosis (32/500)-0.8162000.000400
Trim. Skewness (33/500)-0.0052000.960200Trim. Kurtosis (33/500)-0.8258000.000400
Trim. Skewness (34/500)0.0002000.992000Trim. Kurtosis (34/500)-0.8363000.000400
Trim. Skewness (35/500)0.0055000.960200Trim. Kurtosis (35/500)-0.8462000.000400
Trim. Skewness (36/500)0.0103000.928200Trim. Kurtosis (36/500)-0.8557000.000200
Trim. Skewness (37/500)0.0149000.896600Trim. Kurtosis (37/500)-0.8656000.000200
Trim. Skewness (38/500)0.0195000.865000Trim. Kurtosis (38/500)-0.8757000.000200
Trim. Skewness (39/500)0.0235000.841400Trim. Kurtosis (39/500)-0.8858000.000200
Trim. Skewness (40/500)0.0286000.802600Trim. Kurtosis (40/500)-0.8950000.000200

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/500)0.0188000.857200 & Trim. Kurtosis (0/500)-0.1796000.406600 \tabularnewline Trim. Skewness (1/500)0.0062000.952200 & Trim. Kurtosis (1/500)-0.2618000.230200 \tabularnewline Trim. Skewness (2/500)-0.0096000.928200 & Trim. Kurtosis (2/500)-0.3497000.109600 \tabularnewline Trim. Skewness (3/500)-0.0207000.849200 & Trim. Kurtosis (3/500)-0.3924000.073400 \tabularnewline Trim. Skewness (4/500)-0.0301000.779400 & Trim. Kurtosis (4/500)-0.4329000.047800 \tabularnewline Trim. Skewness (5/500)-0.0409000.704000 & Trim. Kurtosis (5/500)-0.4693000.032400 \tabularnewline Trim. Skewness (6/500)-0.0507000.645600 & Trim. Kurtosis (6/500)-0.5065000.021400 \tabularnewline Trim. Skewness (7/500)-0.0602000.582400 & Trim. Kurtosis (7/500)-0.5452000.013600 \tabularnewline Trim. Skewness (8/500)-0.0608000.582400 & Trim. Kurtosis (8/500)-0.5670000.010400 \tabularnewline Trim. Skewness (9/500)-0.0604000.582400 & Trim. Kurtosis (9/500)-0.5850000.008200 \tabularnewline Trim. Skewness (10/500)-0.0604000.582400 & Trim. Kurtosis (10/500)-0.6041000.006600 \tabularnewline Trim. Skewness (11/500)-0.0611000.582400 & Trim. Kurtosis (11/500)-0.6193000.005400 \tabularnewline Trim. Skewness (12/500)-0.0623000.575400 & Trim. Kurtosis (12/500)-0.6332000.004600 \tabularnewline Trim. Skewness (13/500)-0.0634000.568600 & Trim. Kurtosis (13/500)-0.6471000.003800 \tabularnewline Trim. Skewness (14/500)-0.0628000.575400 & Trim. Kurtosis (14/500)-0.6597000.003200 \tabularnewline Trim. Skewness (15/500)-0.0616000.582400 & Trim. Kurtosis (15/500)-0.6731000.002600 \tabularnewline Trim. Skewness (16/500)-0.0598000.589200 & Trim. Kurtosis (16/500)-0.6877000.002200 \tabularnewline Trim. Skewness (17/500)-0.0575000.610000 & Trim. Kurtosis (17/500)-0.7029000.001800 \tabularnewline Trim. Skewness (18/500)-0.0532000.638400 & Trim. Kurtosis (18/500)-0.7158000.001600 \tabularnewline Trim. Skewness (19/500)-0.0496000.660000 & Trim. Kurtosis (19/500)-0.7250000.001400 \tabularnewline Trim. Skewness (20/500)-0.0476000.674400 & Trim. Kurtosis (20/500)-0.7317000.001200 \tabularnewline Trim. Skewness (21/500)-0.0457000.681800 & Trim. Kurtosis (21/500)-0.7390000.001200 \tabularnewline Trim. Skewness (22/500)-0.0435000.696600 & Trim. Kurtosis (22/500)-0.7459000.001000 \tabularnewline Trim. Skewness (23/500)-0.0415000.711400 & Trim. Kurtosis (23/500)-0.7529000.001000 \tabularnewline Trim. Skewness (24/500)-0.0384000.733800 & Trim. Kurtosis (24/500)-0.7593000.001000 \tabularnewline Trim. Skewness (25/500)-0.0356000.756600 & Trim. Kurtosis (25/500)-0.7658000.000800 \tabularnewline Trim. Skewness (26/500)-0.0324000.771800 & Trim. Kurtosis (26/500)-0.7734000.000800 \tabularnewline Trim. Skewness (27/500)-0.0288000.802600 & Trim. Kurtosis (27/500)-0.7808000.000600 \tabularnewline Trim. Skewness (28/500)-0.0263000.818000 & Trim. Kurtosis (28/500)-0.7872000.000600 \tabularnewline Trim. Skewness (29/500)-0.0232000.841400 & Trim. Kurtosis (29/500)-0.7939000.000600 \tabularnewline Trim. Skewness (30/500)-0.0195000.865000 & Trim. Kurtosis (30/500)-0.8005000.000600 \tabularnewline Trim. Skewness (31/500)-0.0151000.896600 & Trim. Kurtosis (31/500)-0.8079000.000600 \tabularnewline Trim. Skewness (32/500)-0.0103000.928200 & Trim. Kurtosis (32/500)-0.8162000.000400 \tabularnewline Trim. Skewness (33/500)-0.0052000.960200 & Trim. Kurtosis (33/500)-0.8258000.000400 \tabularnewline Trim. Skewness (34/500)0.0002000.992000 & Trim. Kurtosis (34/500)-0.8363000.000400 \tabularnewline Trim. Skewness (35/500)0.0055000.960200 & Trim. Kurtosis (35/500)-0.8462000.000400 \tabularnewline Trim. Skewness (36/500)0.0103000.928200 & Trim. Kurtosis (36/500)-0.8557000.000200 \tabularnewline Trim. Skewness (37/500)0.0149000.896600 & Trim. Kurtosis (37/500)-0.8656000.000200 \tabularnewline Trim. Skewness (38/500)0.0195000.865000 & Trim. Kurtosis (38/500)-0.8757000.000200 \tabularnewline Trim. Skewness (39/500)0.0235000.841400 & Trim. Kurtosis (39/500)-0.8858000.000200 \tabularnewline Trim. Skewness (40/500)0.0286000.802600 & Trim. Kurtosis (40/500)-0.8950000.000200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103590&T=1

[TABLE]

[ROW][C]Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure (small sample)[/C]
Value[/C]Probability[/C]Kurtosis Measure (small sample)[/C]Value[/C]Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/500)[/C]0.018800[/C]0.857200[/C][C]Trim. Kurtosis (0/500)[/C]-0.179600[/C]0.406600[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.006200[/C]0.952200[/C][C]Trim. Kurtosis (1/500)[/C]-0.261800[/C]0.230200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.009600[/C]0.928200[/C][C]Trim. Kurtosis (2/500)[/C]-0.349700[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.020700[/C]0.849200[/C][C]Trim. Kurtosis (3/500)[/C]-0.392400[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.030100[/C]0.779400[/C][C]Trim. Kurtosis (4/500)[/C]-0.432900[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.040900[/C]0.704000[/C][C]Trim. Kurtosis (5/500)[/C]-0.469300[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.050700[/C]0.645600[/C][C]Trim. Kurtosis (6/500)[/C]-0.506500[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.060200[/C]0.582400[/C][C]Trim. Kurtosis (7/500)[/C]-0.545200[/C]0.013600[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.060800[/C]0.582400[/C][C]Trim. Kurtosis (8/500)[/C]-0.567000[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.060400[/C]0.582400[/C][C]Trim. Kurtosis (9/500)[/C]-0.585000[/C]0.008200[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.060400[/C]0.582400[/C][C]Trim. Kurtosis (10/500)[/C]-0.604100[/C]0.006600[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.061100[/C]0.582400[/C][C]Trim. Kurtosis (11/500)[/C]-0.619300[/C]0.005400[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.062300[/C]0.575400[/C][C]Trim. Kurtosis (12/500)[/C]-0.633200[/C]0.004600[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.063400[/C]0.568600[/C][C]Trim. Kurtosis (13/500)[/C]-0.647100[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.062800[/C]0.575400[/C][C]Trim. Kurtosis (14/500)[/C]-0.659700[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.061600[/C]0.582400[/C][C]Trim. Kurtosis (15/500)[/C]-0.673100[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.059800[/C]0.589200[/C][C]Trim. Kurtosis (16/500)[/C]-0.687700[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.057500[/C]0.610000[/C][C]Trim. Kurtosis (17/500)[/C]-0.702900[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.053200[/C]0.638400[/C][C]Trim. Kurtosis (18/500)[/C]-0.715800[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.049600[/C]0.660000[/C][C]Trim. Kurtosis (19/500)[/C]-0.725000[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.047600[/C]0.674400[/C][C]Trim. Kurtosis (20/500)[/C]-0.731700[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.045700[/C]0.681800[/C][C]Trim. Kurtosis (21/500)[/C]-0.739000[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.043500[/C]0.696600[/C][C]Trim. Kurtosis (22/500)[/C]-0.745900[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.041500[/C]0.711400[/C][C]Trim. Kurtosis (23/500)[/C]-0.752900[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.038400[/C]0.733800[/C][C]Trim. Kurtosis (24/500)[/C]-0.759300[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.035600[/C]0.756600[/C][C]Trim. Kurtosis (25/500)[/C]-0.765800[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.032400[/C]0.771800[/C][C]Trim. Kurtosis (26/500)[/C]-0.773400[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.028800[/C]0.802600[/C][C]Trim. Kurtosis (27/500)[/C]-0.780800[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.026300[/C]0.818000[/C][C]Trim. Kurtosis (28/500)[/C]-0.787200[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.023200[/C]0.841400[/C][C]Trim. Kurtosis (29/500)[/C]-0.793900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.019500[/C]0.865000[/C][C]Trim. Kurtosis (30/500)[/C]-0.800500[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.015100[/C]0.896600[/C][C]Trim. Kurtosis (31/500)[/C]-0.807900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.010300[/C]0.928200[/C][C]Trim. Kurtosis (32/500)[/C]-0.816200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.005200[/C]0.960200[/C][C]Trim. Kurtosis (33/500)[/C]-0.825800[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.000200[/C]0.992000[/C][C]Trim. Kurtosis (34/500)[/C]-0.836300[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.005500[/C]0.960200[/C][C]Trim. Kurtosis (35/500)[/C]-0.846200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.010300[/C]0.928200[/C][C]Trim. Kurtosis (36/500)[/C]-0.855700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.014900[/C]0.896600[/C][C]Trim. Kurtosis (37/500)[/C]-0.865600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.019500[/C]0.865000[/C][C]Trim. Kurtosis (38/500)[/C]-0.875700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.023500[/C]0.841400[/C][C]Trim. Kurtosis (39/500)[/C]-0.885800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.028600[/C]0.802600[/C][C]Trim. Kurtosis (40/500)[/C]-0.895000[/C]0.000200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103590&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103590&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0188000.857200Trim. Kurtosis (0/500)-0.1796000.406600
Trim. Skewness (1/500)0.0062000.952200Trim. Kurtosis (1/500)-0.2618000.230200
Trim. Skewness (2/500)-0.0096000.928200Trim. Kurtosis (2/500)-0.3497000.109600
Trim. Skewness (3/500)-0.0207000.849200Trim. Kurtosis (3/500)-0.3924000.073400
Trim. Skewness (4/500)-0.0301000.779400Trim. Kurtosis (4/500)-0.4329000.047800
Trim. Skewness (5/500)-0.0409000.704000Trim. Kurtosis (5/500)-0.4693000.032400
Trim. Skewness (6/500)-0.0507000.645600Trim. Kurtosis (6/500)-0.5065000.021400
Trim. Skewness (7/500)-0.0602000.582400Trim. Kurtosis (7/500)-0.5452000.013600
Trim. Skewness (8/500)-0.0608000.582400Trim. Kurtosis (8/500)-0.5670000.010400
Trim. Skewness (9/500)-0.0604000.582400Trim. Kurtosis (9/500)-0.5850000.008200
Trim. Skewness (10/500)-0.0604000.582400Trim. Kurtosis (10/500)-0.6041000.006600
Trim. Skewness (11/500)-0.0611000.582400Trim. Kurtosis (11/500)-0.6193000.005400
Trim. Skewness (12/500)-0.0623000.575400Trim. Kurtosis (12/500)-0.6332000.004600
Trim. Skewness (13/500)-0.0634000.568600Trim. Kurtosis (13/500)-0.6471000.003800
Trim. Skewness (14/500)-0.0628000.575400Trim. Kurtosis (14/500)-0.6597000.003200
Trim. Skewness (15/500)-0.0616000.582400Trim. Kurtosis (15/500)-0.6731000.002600
Trim. Skewness (16/500)-0.0598000.589200Trim. Kurtosis (16/500)-0.6877000.002200
Trim. Skewness (17/500)-0.0575000.610000Trim. Kurtosis (17/500)-0.7029000.001800
Trim. Skewness (18/500)-0.0532000.638400Trim. Kurtosis (18/500)-0.7158000.001600
Trim. Skewness (19/500)-0.0496000.660000Trim. Kurtosis (19/500)-0.7250000.001400
Trim. Skewness (20/500)-0.0476000.674400Trim. Kurtosis (20/500)-0.7317000.001200
Trim. Skewness (21/500)-0.0457000.681800Trim. Kurtosis (21/500)-0.7390000.001200
Trim. Skewness (22/500)-0.0435000.696600Trim. Kurtosis (22/500)-0.7459000.001000
Trim. Skewness (23/500)-0.0415000.711400Trim. Kurtosis (23/500)-0.7529000.001000
Trim. Skewness (24/500)-0.0384000.733800Trim. Kurtosis (24/500)-0.7593000.001000
Trim. Skewness (25/500)-0.0356000.756600Trim. Kurtosis (25/500)-0.7658000.000800
Trim. Skewness (26/500)-0.0324000.771800Trim. Kurtosis (26/500)-0.7734000.000800
Trim. Skewness (27/500)-0.0288000.802600Trim. Kurtosis (27/500)-0.7808000.000600
Trim. Skewness (28/500)-0.0263000.818000Trim. Kurtosis (28/500)-0.7872000.000600
Trim. Skewness (29/500)-0.0232000.841400Trim. Kurtosis (29/500)-0.7939000.000600
Trim. Skewness (30/500)-0.0195000.865000Trim. Kurtosis (30/500)-0.8005000.000600
Trim. Skewness (31/500)-0.0151000.896600Trim. Kurtosis (31/500)-0.8079000.000600
Trim. Skewness (32/500)-0.0103000.928200Trim. Kurtosis (32/500)-0.8162000.000400
Trim. Skewness (33/500)-0.0052000.960200Trim. Kurtosis (33/500)-0.8258000.000400
Trim. Skewness (34/500)0.0002000.992000Trim. Kurtosis (34/500)-0.8363000.000400
Trim. Skewness (35/500)0.0055000.960200Trim. Kurtosis (35/500)-0.8462000.000400
Trim. Skewness (36/500)0.0103000.928200Trim. Kurtosis (36/500)-0.8557000.000200
Trim. Skewness (37/500)0.0149000.896600Trim. Kurtosis (37/500)-0.8656000.000200
Trim. Skewness (38/500)0.0195000.865000Trim. Kurtosis (38/500)-0.8757000.000200
Trim. Skewness (39/500)0.0235000.841400Trim. Kurtosis (39/500)-0.8858000.000200
Trim. Skewness (40/500)0.0286000.802600Trim. Kurtosis (40/500)-0.8950000.000200


Figures (Output of Computation)

Input Parameters & R Code

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