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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 14:37:56 +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/t12911278912x7wd4uulcer8nu.htm/, Retrieved Mon, 29 Apr 2024 08:07:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103542, Retrieved Mon, 29 Apr 2024 08:07:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact181

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Skewness and Kurtosis] [] [2010-11-30 14:37:56] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:33:44] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:35:12] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:36:07] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:37:09] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:38:03] [7e261c986c934df955dd3ac53e9d45c6]
- RMPD      [Histogram] [] [2018-09-26 03:48:09] [74be16979710d4c4e7c6647856088456]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:38:58] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:39:49] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:40:38] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:41:27] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:42:18] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:43:49] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:44:48] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:45:51] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:47:07] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:48:05] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:48:48] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:49:35] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:50:26] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:51:16] [7e261c986c934df955dd3ac53e9d45c6]
-    D    [Skewness and Kurtosis] [] [2010-11-30 22:51:58] [7e261c986c934df955dd3ac53e9d45c6]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
51.04791419
51.21486891
46.37024532
50.01316487
47.615112
55.36668258
48.65474656
47.32022283
47.50587106
46.8067937
50.50679919
46.77796772
54.19225637
51.78333991
50.74625072
48.79877804
52.76823274
53.95210346
52.40534368
50.93189164
50.36255641
44.88997131
47.62975379
54.07882953
51.43248838
44.15924677
48.99114737
51.45943665
52.15675137
51.46007424
49.27889767
60.20287084
50.55793566
53.36180914
48.71332004
46.63080551
52.52209337
50.48360021
47.4381531
51.93526288
44.26616363
49.84544159
45.82840991
55.79536863
53.26684589
45.21443303
53.9241444
49.29788106
51.11972931
53.24052058
50.54309744
49.72773695
44.44284088
48.04043694
46.49338657
49.39947599
49.92320219
49.80503783
52.11785743
49.98869168
48.04736129
48.91330356
52.65582842
47.49391846
50.44047384
47.11341612
53.20634047
50.9826303
50.88722218
47.70279483
49.37457896
49.63269323
45.98791857
50.61605117
48.70093951
56.26800897
48.93993488
50.95037998
48.51790947
48.4407567
49.23815491
48.2102957
56.30041805
51.29219112
51.77113382
47.82596893
48.37389048
52.07660484
52.8174066
51.35119
54.22364732
45.96257677
52.42447947
45.87299493
48.06950314
49.79912012
49.68807456
50.58436204
50.23704978
52.40064914
52.09257936
46.89124073
47.96311796
47.99804496
50.1186242
52.7598692
48.18709835
51.41830435
48.83007759
49.87607736
50.80377813
46.90399345
51.9573913
51.02316591
51.33570491
52.56150066
51.36047414
47.08539183
48.8005926
51.99866453

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.7.422593FISHER 4th Cent. Mom.208.535212
FISHER beta 10.131515FISHER beta 23.724671
FISHER gamma 10.362649FISHER gamma 20.724671
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.621818FISHER Test 21.620413
FISHER Test 1 Probability0.103200FISHER Test 2 Probability0.103200
Pearson 20.002319
Yule using Quartile definition:Weighted Average at Xnp-0.080591
Yule using Quartile definition:Weighted Average at X(n+1)p-0.047240
Yule using Quartile definition:Empirical Distribution Function-0.080591
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.056318
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.065605
Yule using Quartile definition:Closest Observation-0.080591
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.065605
Yule using Quartile definition:MS Excel (old versions)-0.038366
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.367256Kurtosis (small sample)0.807514
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.662707TEST 1 (small sample)1.842249
TEST 1 Prob. (small sample)0.095000TEST 1 Prob. (small sample)0.064400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.7.422593 & FISHER 4th Cent. Mom.208.535212 \tabularnewline FISHER beta 10.131515 & FISHER beta 23.724671 \tabularnewline FISHER gamma 10.362649 & FISHER gamma 20.724671 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 11.621818 & FISHER Test 21.620413 \tabularnewline FISHER Test 1 Probability0.103200 & FISHER Test 2 Probability0.103200 \tabularnewline Pearson 20.002319 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.080591 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.047240 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.080591 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.056318 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.065605 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.080591 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.065605 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.038366 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.367256 & Kurtosis (small sample)0.807514 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)1.662707 & TEST 1 (small sample)1.842249 \tabularnewline TEST 1 Prob. (small sample)0.095000 & TEST 1 Prob. (small sample)0.064400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103542&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]7.422593[/C][C]FISHER 4th Cent. Mom.[/C]208.535212[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.131515[/C][C]FISHER beta 2[/C]3.724671[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.362649[/C][C]FISHER gamma 2[/C]0.724671[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]1.621818[/C][C]FISHER Test 2[/C]1.620413[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.103200[/C][C]FISHER Test 2 Probability[/C]0.103200[/C][/ROW] [ROW][C]Pearson 2[/C]0.002319[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.080591[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.047240[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.080591[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.056318[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.065605[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.080591[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.065605[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.038366[/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]0.367256[/C][C]Kurtosis (small sample)[/C]0.807514[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]1.662707[/C][C]TEST 1 (small sample)[/C]1.842249[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.095000[/C][C]TEST 1 Prob. (small sample)[/C]0.064400[/C][/ROW] [ROW][C]Observations[/C]120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103542&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103542&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.7.422593FISHER 4th Cent. Mom.208.535212
FISHER beta 10.131515FISHER beta 23.724671
FISHER gamma 10.362649FISHER gamma 20.724671
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.621818FISHER Test 21.620413
FISHER Test 1 Probability0.103200FISHER Test 2 Probability0.103200
Pearson 20.002319
Yule using Quartile definition:Weighted Average at Xnp-0.080591
Yule using Quartile definition:Weighted Average at X(n+1)p-0.047240
Yule using Quartile definition:Empirical Distribution Function-0.080591
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.056318
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.065605
Yule using Quartile definition:Closest Observation-0.080591
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.065605
Yule using Quartile definition:MS Excel (old versions)-0.038366
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.367256Kurtosis (small sample)0.807514
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.662707TEST 1 (small sample)1.842249
TEST 1 Prob. (small sample)0.095000TEST 1 Prob. (small sample)0.064400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.3673000.095000Trim. Kurtosis (0/120)0.8075000.064400
Trim. Skewness (1/120)0.0723000.741400Trim. Kurtosis (1/120)-0.2502000.568600
Trim. Skewness (2/120)0.0557000.802600Trim. Kurtosis (2/120)-0.3579000.418000
Trim. Skewness (3/120)0.0239000.912400Trim. Kurtosis (3/120)-0.5393000.226200
Trim. Skewness (4/120)-0.0112000.960200Trim. Kurtosis (4/120)-0.6998000.121200
Trim. Skewness (5/120)-0.0454000.841400Trim. Kurtosis (5/120)-0.8471000.062800
Trim. Skewness (6/120)-0.0514000.818000Trim. Kurtosis (6/120)-0.8632000.060200
Trim. Skewness (7/120)-0.0590000.794800Trim. Kurtosis (7/120)-0.8938000.053600
Trim. Skewness (8/120)-0.0667000.771800Trim. Kurtosis (8/120)-0.9328000.046600
Trim. Skewness (9/120)-0.0705000.764200Trim. Kurtosis (9/120)-0.9877000.036600
Trim. Skewness (10/120)-0.0929000.696600Trim. Kurtosis (10/120)-1.0378000.030000
Trim. Skewness (11/120)-0.0950000.696600Trim. Kurtosis (11/120)-1.0518000.029200
Trim. Skewness (12/120)-0.0991000.681800Trim. Kurtosis (12/120)-1.0632000.029200
Trim. Skewness (13/120)-0.1092000.660000Trim. Kurtosis (13/120)-1.0758000.028600
Trim. Skewness (14/120)-0.1207000.624200Trim. Kurtosis (14/120)-1.0997000.027200
Trim. Skewness (15/120)-0.1177000.638400Trim. Kurtosis (15/120)-1.1044000.027800
Trim. Skewness (16/120)-0.1113000.660000Trim. Kurtosis (16/120)-1.1182000.027800
Trim. Skewness (17/120)-0.1128000.660000Trim. Kurtosis (17/120)-1.1279000.027800
Trim. Skewness (18/120)-0.1094000.674400Trim. Kurtosis (18/120)-1.1424000.027800
Trim. Skewness (19/120)-0.1117000.667200Trim. Kurtosis (19/120)-1.1435000.029200
Trim. Skewness (20/120)-0.1183000.660000Trim. Kurtosis (20/120)-1.1420000.031600
Trim. Skewness (21/120)-0.1230000.645600Trim. Kurtosis (21/120)-1.1386000.034000
Trim. Skewness (22/120)-0.1274000.638400Trim. Kurtosis (22/120)-1.1447000.034800
Trim. Skewness (23/120)-0.1396000.610000Trim. Kurtosis (23/120)-1.1543000.035800
Trim. Skewness (24/120)-0.1364000.624200Trim. Kurtosis (24/120)-1.1557000.038400
Trim. Skewness (25/120)-0.1339000.638400Trim. Kurtosis (25/120)-1.1589000.040400
Trim. Skewness (26/120)-0.1378000.631200Trim. Kurtosis (26/120)-1.1581000.043400
Trim. Skewness (27/120)-0.1518000.603000Trim. Kurtosis (27/120)-1.1527000.046600
Trim. Skewness (28/120)-0.1640000.582400Trim. Kurtosis (28/120)-1.1477000.051200
Trim. Skewness (29/120)-0.1782000.555200Trim. Kurtosis (29/120)-1.1480000.054800
Trim. Skewness (30/120)-0.1935000.528600Trim. Kurtosis (30/120)-1.1675000.054800
Trim. Skewness (31/120)-0.1945000.528600Trim. Kurtosis (31/120)-1.1911000.053600
Trim. Skewness (32/120)-0.2075000.509200Trim. Kurtosis (32/120)-1.2189000.051200
Trim. Skewness (33/120)-0.1860000.562000Trim. Kurtosis (33/120)-1.2359000.052400
Trim. Skewness (34/120)-0.1781000.589200Trim. Kurtosis (34/120)-1.2320000.057400
Trim. Skewness (35/120)-0.1709000.610000Trim. Kurtosis (35/120)-1.2280000.062800
Trim. Skewness (36/120)-0.1682000.617000Trim. Kurtosis (36/120)-1.2228000.068800
Trim. Skewness (37/120)-0.1751000.610000Trim. Kurtosis (37/120)-1.1931000.081800
Trim. Skewness (38/120)-0.1878000.596200Trim. Kurtosis (38/120)-1.1630000.097000
Trim. Skewness (39/120)-0.2015000.575400Trim. Kurtosis (39/120)-1.1454000.109600
Trim. Skewness (40/120)-0.2257000.541800Trim. Kurtosis (40/120)-1.1166000.126000

\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 (0/120)0.3673000.095000 & Trim. Kurtosis (0/120)0.8075000.064400 \tabularnewline Trim. Skewness (1/120)0.0723000.741400 & Trim. Kurtosis (1/120)-0.2502000.568600 \tabularnewline Trim. Skewness (2/120)0.0557000.802600 & Trim. Kurtosis (2/120)-0.3579000.418000 \tabularnewline Trim. Skewness (3/120)0.0239000.912400 & Trim. Kurtosis (3/120)-0.5393000.226200 \tabularnewline Trim. Skewness (4/120)-0.0112000.960200 & Trim. Kurtosis (4/120)-0.6998000.121200 \tabularnewline Trim. Skewness (5/120)-0.0454000.841400 & Trim. Kurtosis (5/120)-0.8471000.062800 \tabularnewline Trim. Skewness (6/120)-0.0514000.818000 & Trim. Kurtosis (6/120)-0.8632000.060200 \tabularnewline Trim. Skewness (7/120)-0.0590000.794800 & Trim. Kurtosis (7/120)-0.8938000.053600 \tabularnewline Trim. Skewness (8/120)-0.0667000.771800 & Trim. Kurtosis (8/120)-0.9328000.046600 \tabularnewline Trim. Skewness (9/120)-0.0705000.764200 & Trim. Kurtosis (9/120)-0.9877000.036600 \tabularnewline Trim. Skewness (10/120)-0.0929000.696600 & Trim. Kurtosis (10/120)-1.0378000.030000 \tabularnewline Trim. Skewness (11/120)-0.0950000.696600 & Trim. Kurtosis (11/120)-1.0518000.029200 \tabularnewline Trim. Skewness (12/120)-0.0991000.681800 & Trim. Kurtosis (12/120)-1.0632000.029200 \tabularnewline Trim. Skewness (13/120)-0.1092000.660000 & Trim. Kurtosis (13/120)-1.0758000.028600 \tabularnewline Trim. Skewness (14/120)-0.1207000.624200 & Trim. Kurtosis (14/120)-1.0997000.027200 \tabularnewline Trim. Skewness (15/120)-0.1177000.638400 & Trim. Kurtosis (15/120)-1.1044000.027800 \tabularnewline Trim. Skewness (16/120)-0.1113000.660000 & Trim. Kurtosis (16/120)-1.1182000.027800 \tabularnewline Trim. Skewness (17/120)-0.1128000.660000 & Trim. Kurtosis (17/120)-1.1279000.027800 \tabularnewline Trim. Skewness (18/120)-0.1094000.674400 & Trim. Kurtosis (18/120)-1.1424000.027800 \tabularnewline Trim. Skewness (19/120)-0.1117000.667200 & Trim. Kurtosis (19/120)-1.1435000.029200 \tabularnewline Trim. Skewness (20/120)-0.1183000.660000 & Trim. Kurtosis (20/120)-1.1420000.031600 \tabularnewline Trim. Skewness (21/120)-0.1230000.645600 & Trim. Kurtosis (21/120)-1.1386000.034000 \tabularnewline Trim. Skewness (22/120)-0.1274000.638400 & Trim. Kurtosis (22/120)-1.1447000.034800 \tabularnewline Trim. Skewness (23/120)-0.1396000.610000 & Trim. Kurtosis (23/120)-1.1543000.035800 \tabularnewline Trim. Skewness (24/120)-0.1364000.624200 & Trim. Kurtosis (24/120)-1.1557000.038400 \tabularnewline Trim. Skewness (25/120)-0.1339000.638400 & Trim. Kurtosis (25/120)-1.1589000.040400 \tabularnewline Trim. Skewness (26/120)-0.1378000.631200 & Trim. Kurtosis (26/120)-1.1581000.043400 \tabularnewline Trim. Skewness (27/120)-0.1518000.603000 & Trim. Kurtosis (27/120)-1.1527000.046600 \tabularnewline Trim. Skewness (28/120)-0.1640000.582400 & Trim. Kurtosis (28/120)-1.1477000.051200 \tabularnewline Trim. Skewness (29/120)-0.1782000.555200 & Trim. Kurtosis (29/120)-1.1480000.054800 \tabularnewline Trim. Skewness (30/120)-0.1935000.528600 & Trim. Kurtosis (30/120)-1.1675000.054800 \tabularnewline Trim. Skewness (31/120)-0.1945000.528600 & Trim. Kurtosis (31/120)-1.1911000.053600 \tabularnewline Trim. Skewness (32/120)-0.2075000.509200 & Trim. Kurtosis (32/120)-1.2189000.051200 \tabularnewline Trim. Skewness (33/120)-0.1860000.562000 & Trim. Kurtosis (33/120)-1.2359000.052400 \tabularnewline Trim. Skewness (34/120)-0.1781000.589200 & Trim. Kurtosis (34/120)-1.2320000.057400 \tabularnewline Trim. Skewness (35/120)-0.1709000.610000 & Trim. Kurtosis (35/120)-1.2280000.062800 \tabularnewline Trim. Skewness (36/120)-0.1682000.617000 & Trim. Kurtosis (36/120)-1.2228000.068800 \tabularnewline Trim. Skewness (37/120)-0.1751000.610000 & Trim. Kurtosis (37/120)-1.1931000.081800 \tabularnewline Trim. Skewness (38/120)-0.1878000.596200 & Trim. Kurtosis (38/120)-1.1630000.097000 \tabularnewline Trim. Skewness (39/120)-0.2015000.575400 & Trim. Kurtosis (39/120)-1.1454000.109600 \tabularnewline Trim. Skewness (40/120)-0.2257000.541800 & Trim. Kurtosis (40/120)-1.1166000.126000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103542&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 (0/120)[/C]0.367300[/C]0.095000[/C][C]Trim. Kurtosis (0/120)[/C]0.807500[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.072300[/C]0.741400[/C][C]Trim. Kurtosis (1/120)[/C]-0.250200[/C]0.568600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.055700[/C]0.802600[/C][C]Trim. Kurtosis (2/120)[/C]-0.357900[/C]0.418000[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.023900[/C]0.912400[/C][C]Trim. Kurtosis (3/120)[/C]-0.539300[/C]0.226200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.011200[/C]0.960200[/C][C]Trim. Kurtosis (4/120)[/C]-0.699800[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.045400[/C]0.841400[/C][C]Trim. Kurtosis (5/120)[/C]-0.847100[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.051400[/C]0.818000[/C][C]Trim. Kurtosis (6/120)[/C]-0.863200[/C]0.060200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.059000[/C]0.794800[/C][C]Trim. Kurtosis (7/120)[/C]-0.893800[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.066700[/C]0.771800[/C][C]Trim. Kurtosis (8/120)[/C]-0.932800[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.070500[/C]0.764200[/C][C]Trim. Kurtosis (9/120)[/C]-0.987700[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.092900[/C]0.696600[/C][C]Trim. Kurtosis (10/120)[/C]-1.037800[/C]0.030000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.095000[/C]0.696600[/C][C]Trim. Kurtosis (11/120)[/C]-1.051800[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.099100[/C]0.681800[/C][C]Trim. Kurtosis (12/120)[/C]-1.063200[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.109200[/C]0.660000[/C][C]Trim. Kurtosis (13/120)[/C]-1.075800[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.120700[/C]0.624200[/C][C]Trim. Kurtosis (14/120)[/C]-1.099700[/C]0.027200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.117700[/C]0.638400[/C][C]Trim. Kurtosis (15/120)[/C]-1.104400[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.111300[/C]0.660000[/C][C]Trim. Kurtosis (16/120)[/C]-1.118200[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.112800[/C]0.660000[/C][C]Trim. Kurtosis (17/120)[/C]-1.127900[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.109400[/C]0.674400[/C][C]Trim. Kurtosis (18/120)[/C]-1.142400[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.111700[/C]0.667200[/C][C]Trim. Kurtosis (19/120)[/C]-1.143500[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.118300[/C]0.660000[/C][C]Trim. Kurtosis (20/120)[/C]-1.142000[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.123000[/C]0.645600[/C][C]Trim. Kurtosis (21/120)[/C]-1.138600[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.127400[/C]0.638400[/C][C]Trim. Kurtosis (22/120)[/C]-1.144700[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.139600[/C]0.610000[/C][C]Trim. Kurtosis (23/120)[/C]-1.154300[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.136400[/C]0.624200[/C][C]Trim. Kurtosis (24/120)[/C]-1.155700[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.133900[/C]0.638400[/C][C]Trim. Kurtosis (25/120)[/C]-1.158900[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.137800[/C]0.631200[/C][C]Trim. Kurtosis (26/120)[/C]-1.158100[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.151800[/C]0.603000[/C][C]Trim. Kurtosis (27/120)[/C]-1.152700[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.164000[/C]0.582400[/C][C]Trim. Kurtosis (28/120)[/C]-1.147700[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.178200[/C]0.555200[/C][C]Trim. Kurtosis (29/120)[/C]-1.148000[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.193500[/C]0.528600[/C][C]Trim. Kurtosis (30/120)[/C]-1.167500[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.194500[/C]0.528600[/C][C]Trim. Kurtosis (31/120)[/C]-1.191100[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.207500[/C]0.509200[/C][C]Trim. Kurtosis (32/120)[/C]-1.218900[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.186000[/C]0.562000[/C][C]Trim. Kurtosis (33/120)[/C]-1.235900[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.178100[/C]0.589200[/C][C]Trim. Kurtosis (34/120)[/C]-1.232000[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.170900[/C]0.610000[/C][C]Trim. Kurtosis (35/120)[/C]-1.228000[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.168200[/C]0.617000[/C][C]Trim. Kurtosis (36/120)[/C]-1.222800[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.175100[/C]0.610000[/C][C]Trim. Kurtosis (37/120)[/C]-1.193100[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.187800[/C]0.596200[/C][C]Trim. Kurtosis (38/120)[/C]-1.163000[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.201500[/C]0.575400[/C][C]Trim. Kurtosis (39/120)[/C]-1.145400[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.225700[/C]0.541800[/C][C]Trim. Kurtosis (40/120)[/C]-1.116600[/C]0.126000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103542&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103542&T=1

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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 (0/120)0.3673000.095000Trim. Kurtosis (0/120)0.8075000.064400
Trim. Skewness (1/120)0.0723000.741400Trim. Kurtosis (1/120)-0.2502000.568600
Trim. Skewness (2/120)0.0557000.802600Trim. Kurtosis (2/120)-0.3579000.418000
Trim. Skewness (3/120)0.0239000.912400Trim. Kurtosis (3/120)-0.5393000.226200
Trim. Skewness (4/120)-0.0112000.960200Trim. Kurtosis (4/120)-0.6998000.121200
Trim. Skewness (5/120)-0.0454000.841400Trim. Kurtosis (5/120)-0.8471000.062800
Trim. Skewness (6/120)-0.0514000.818000Trim. Kurtosis (6/120)-0.8632000.060200
Trim. Skewness (7/120)-0.0590000.794800Trim. Kurtosis (7/120)-0.8938000.053600
Trim. Skewness (8/120)-0.0667000.771800Trim. Kurtosis (8/120)-0.9328000.046600
Trim. Skewness (9/120)-0.0705000.764200Trim. Kurtosis (9/120)-0.9877000.036600
Trim. Skewness (10/120)-0.0929000.696600Trim. Kurtosis (10/120)-1.0378000.030000
Trim. Skewness (11/120)-0.0950000.696600Trim. Kurtosis (11/120)-1.0518000.029200
Trim. Skewness (12/120)-0.0991000.681800Trim. Kurtosis (12/120)-1.0632000.029200
Trim. Skewness (13/120)-0.1092000.660000Trim. Kurtosis (13/120)-1.0758000.028600
Trim. Skewness (14/120)-0.1207000.624200Trim. Kurtosis (14/120)-1.0997000.027200
Trim. Skewness (15/120)-0.1177000.638400Trim. Kurtosis (15/120)-1.1044000.027800
Trim. Skewness (16/120)-0.1113000.660000Trim. Kurtosis (16/120)-1.1182000.027800
Trim. Skewness (17/120)-0.1128000.660000Trim. Kurtosis (17/120)-1.1279000.027800
Trim. Skewness (18/120)-0.1094000.674400Trim. Kurtosis (18/120)-1.1424000.027800
Trim. Skewness (19/120)-0.1117000.667200Trim. Kurtosis (19/120)-1.1435000.029200
Trim. Skewness (20/120)-0.1183000.660000Trim. Kurtosis (20/120)-1.1420000.031600
Trim. Skewness (21/120)-0.1230000.645600Trim. Kurtosis (21/120)-1.1386000.034000
Trim. Skewness (22/120)-0.1274000.638400Trim. Kurtosis (22/120)-1.1447000.034800
Trim. Skewness (23/120)-0.1396000.610000Trim. Kurtosis (23/120)-1.1543000.035800
Trim. Skewness (24/120)-0.1364000.624200Trim. Kurtosis (24/120)-1.1557000.038400
Trim. Skewness (25/120)-0.1339000.638400Trim. Kurtosis (25/120)-1.1589000.040400
Trim. Skewness (26/120)-0.1378000.631200Trim. Kurtosis (26/120)-1.1581000.043400
Trim. Skewness (27/120)-0.1518000.603000Trim. Kurtosis (27/120)-1.1527000.046600
Trim. Skewness (28/120)-0.1640000.582400Trim. Kurtosis (28/120)-1.1477000.051200
Trim. Skewness (29/120)-0.1782000.555200Trim. Kurtosis (29/120)-1.1480000.054800
Trim. Skewness (30/120)-0.1935000.528600Trim. Kurtosis (30/120)-1.1675000.054800
Trim. Skewness (31/120)-0.1945000.528600Trim. Kurtosis (31/120)-1.1911000.053600
Trim. Skewness (32/120)-0.2075000.509200Trim. Kurtosis (32/120)-1.2189000.051200
Trim. Skewness (33/120)-0.1860000.562000Trim. Kurtosis (33/120)-1.2359000.052400
Trim. Skewness (34/120)-0.1781000.589200Trim. Kurtosis (34/120)-1.2320000.057400
Trim. Skewness (35/120)-0.1709000.610000Trim. Kurtosis (35/120)-1.2280000.062800
Trim. Skewness (36/120)-0.1682000.617000Trim. Kurtosis (36/120)-1.2228000.068800
Trim. Skewness (37/120)-0.1751000.610000Trim. Kurtosis (37/120)-1.1931000.081800
Trim. Skewness (38/120)-0.1878000.596200Trim. Kurtosis (38/120)-1.1630000.097000
Trim. Skewness (39/120)-0.2015000.575400Trim. Kurtosis (39/120)-1.1454000.109600
Trim. Skewness (40/120)-0.2257000.541800Trim. Kurtosis (40/120)-1.1166000.126000


Figures (Output of Computation)

Input Parameters & R Code

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