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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 18:31:44 +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/t1291141789vg5twxwyjp37yla.htm/, Retrieved Mon, 29 Apr 2024 08:32:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103717, Retrieved Mon, 29 Apr 2024 08:32:24 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact148

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] [Kurtosis analysis...] [2007-09-10 12:58:14] [34354a2f772eeadc2ea8c4c156a37515]
-  M D  [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:31:44] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19,52
20,48
21,67
20,85
23,15
19,87
20,75
19,51
17,75
21,51
18,85
19,41
19,25
21,01
19,17
20,06
17,91
18,48
16,98
16,60
20,30
20,26
22,57
21,05
21,17
19,86
20,37
22,30
15,74
19,14
20,81
22,34
21,62
21,69
19,87
20,75
23,07
20,16
19,66
19,21
20,41
21,65
20,72
20,43
17,24
24,64
22,82
16,80
20,29
19,47
18,25
22,33
19,89
19,14
19,72
18,49
20,70
21,94
19,03
18,25
19,71
16,91
19,77
21,33
19,61
17,75
17,18
17,41
24,93
18,07
19,28
18,56
25,09
20,34
17,20
18,85
18,81
18,20
18,97
20,72
22,67
19,90
19,71
17,27
19,84
19,00
15,74
22,79
18,72
19,66
19,63
19,58
20,48
20,04
21,11
19,75
17,47
21,07
20,88
19,22
20,57
18,35
19,99
21,25
17,93
16,45
22,64
20,04
19,38
18,75
17,01
17,52
19,82
20,75
19,63
19,67
20,53
17,40
21,84
16,03

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.506282FISHER 4th Cent. Mom.37.736970
FISHER beta 10.058753FISHER beta 23.303037
FISHER gamma 10.242391FISHER gamma 20.303037
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.084004FISHER Test 20.677610
FISHER Test 1 Probability0.275800FISHER Test 2 Probability0.496400
Pearson 20.060936
Yule using Quartile definition:Weighted Average at Xnp-0.024631
Yule using Quartile definition:Weighted Average at X(n+1)p0.001209
Yule using Quartile definition:Empirical Distribution Function-0.024631
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.002445
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.006180
Yule using Quartile definition:Closest Observation-0.024631
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.006180
Yule using Quartile definition:MS Excel (old versions)0.004785
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.245470Kurtosis (small sample)0.367769
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.111334TEST 1 (small sample)0.839023
TEST 1 Prob. (small sample)0.262800TEST 1 Prob. (small sample)0.400800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.1.506282 & FISHER 4th Cent. Mom.37.736970 \tabularnewline FISHER beta 10.058753 & FISHER beta 23.303037 \tabularnewline FISHER gamma 10.242391 & FISHER gamma 20.303037 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 11.084004 & FISHER Test 20.677610 \tabularnewline FISHER Test 1 Probability0.275800 & FISHER Test 2 Probability0.496400 \tabularnewline Pearson 20.060936 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.024631 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.001209 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.024631 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.002445 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.006180 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.024631 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.006180 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.004785 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.245470 & Kurtosis (small sample)0.367769 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)1.111334 & TEST 1 (small sample)0.839023 \tabularnewline TEST 1 Prob. (small sample)0.262800 & TEST 1 Prob. (small sample)0.400800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103717&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]1.506282[/C][C]FISHER 4th Cent. Mom.[/C]37.736970[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.058753[/C][C]FISHER beta 2[/C]3.303037[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.242391[/C][C]FISHER gamma 2[/C]0.303037[/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]1.084004[/C][C]FISHER Test 2[/C]0.677610[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.275800[/C][C]FISHER Test 2 Probability[/C]0.496400[/C][/ROW] [ROW][C]Pearson 2[/C]0.060936[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.024631[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.001209[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.024631[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.002445[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.006180[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.024631[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.006180[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.004785[/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]0.245470[/C][C]Kurtosis (small sample)[/C]0.367769[/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]1.111334[/C][C]TEST 1 (small sample)[/C]0.839023[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.262800[/C][C]TEST 1 Prob. (small sample)[/C]0.400800[/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=103717&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103717&T=0

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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.1.506282FISHER 4th Cent. Mom.37.736970
FISHER beta 10.058753FISHER beta 23.303037
FISHER gamma 10.242391FISHER gamma 20.303037
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.084004FISHER Test 20.677610
FISHER Test 1 Probability0.275800FISHER Test 2 Probability0.496400
Pearson 20.060936
Yule using Quartile definition:Weighted Average at Xnp-0.024631
Yule using Quartile definition:Weighted Average at X(n+1)p0.001209
Yule using Quartile definition:Empirical Distribution Function-0.024631
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.002445
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.006180
Yule using Quartile definition:Closest Observation-0.024631
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.006180
Yule using Quartile definition:MS Excel (old versions)0.004785
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.245470Kurtosis (small sample)0.367769
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.111334TEST 1 (small sample)0.839023
TEST 1 Prob. (small sample)0.262800TEST 1 Prob. (small sample)0.400800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2455000.262800Trim. Kurtosis (0/120)0.3678000.400800
Trim. Skewness (1/120)0.1774000.423800Trim. Kurtosis (1/120)0.2053000.638400
Trim. Skewness (2/120)0.0959000.667200Trim. Kurtosis (2/120)-0.0767000.857200
Trim. Skewness (3/120)-0.0096000.960200Trim. Kurtosis (3/120)-0.4257000.342200
Trim. Skewness (4/120)-0.0153000.944200Trim. Kurtosis (4/120)-0.4411000.327000
Trim. Skewness (5/120)-0.0270000.904400Trim. Kurtosis (5/120)-0.4586000.312400
Trim. Skewness (6/120)-0.0362000.872800Trim. Kurtosis (6/120)-0.4488000.327000
Trim. Skewness (7/120)-0.0531000.818000Trim. Kurtosis (7/120)-0.4440000.337000
Trim. Skewness (8/120)-0.0691000.764200Trim. Kurtosis (8/120)-0.4371000.347200
Trim. Skewness (9/120)-0.0892000.704000Trim. Kurtosis (9/120)-0.4472000.342200
Trim. Skewness (10/120)-0.1216000.610000Trim. Kurtosis (10/120)-0.4556000.337000
Trim. Skewness (11/120)-0.1396000.562000Trim. Kurtosis (11/120)-0.4506000.347200
Trim. Skewness (12/120)-0.1651000.496400Trim. Kurtosis (12/120)-0.4676000.337000
Trim. Skewness (13/120)-0.1972000.423800Trim. Kurtosis (13/120)-0.5177000.289200
Trim. Skewness (14/120)-0.2056000.412200Trim. Kurtosis (14/120)-0.5172000.298400
Trim. Skewness (15/120)-0.2038000.418000Trim. Kurtosis (15/120)-0.5317000.289200
Trim. Skewness (16/120)-0.1889000.459200Trim. Kurtosis (16/120)-0.5477000.280200
Trim. Skewness (17/120)-0.1711000.509200Trim. Kurtosis (17/120)-0.5896000.250200
Trim. Skewness (18/120)-0.1775000.496400Trim. Kurtosis (18/120)-0.6055000.242000
Trim. Skewness (19/120)-0.1791000.496400Trim. Kurtosis (19/120)-0.6640000.204000
Trim. Skewness (20/120)-0.1874000.484000Trim. Kurtosis (20/120)-0.7010000.186800
Trim. Skewness (21/120)-0.1692000.528600Trim. Kurtosis (21/120)-0.7450000.164600
Trim. Skewness (22/120)-0.1561000.568600Trim. Kurtosis (22/120)-0.7690000.155600
Trim. Skewness (23/120)-0.1477000.596200Trim. Kurtosis (23/120)-0.7700000.161600
Trim. Skewness (24/120)-0.1339000.631200Trim. Kurtosis (24/120)-0.7739000.164600
Trim. Skewness (25/120)-0.1050000.711400Trim. Kurtosis (25/120)-0.8109000.149800
Trim. Skewness (26/120)-0.0834000.771800Trim. Kurtosis (26/120)-0.8484000.138800
Trim. Skewness (27/120)-0.0758000.794800Trim. Kurtosis (27/120)-0.8657000.136200
Trim. Skewness (28/120)-0.0384000.896600Trim. Kurtosis (28/120)-0.8912000.131000
Trim. Skewness (29/120)0.0011000.992000Trim. Kurtosis (29/120)-0.9199000.123600
Trim. Skewness (30/120)0.0184000.952200Trim. Kurtosis (30/120)-0.9006000.136200
Trim. Skewness (31/120)0.0474000.872800Trim. Kurtosis (31/120)-0.8770000.155600
Trim. Skewness (32/120)0.0696000.825800Trim. Kurtosis (32/120)-0.8491000.173800
Trim. Skewness (33/120)0.0872000.787200Trim. Kurtosis (33/120)-0.8300000.193600
Trim. Skewness (34/120)0.1228000.704000Trim. Kurtosis (34/120)-0.8419000.193600
Trim. Skewness (35/120)0.1202000.718800Trim. Kurtosis (35/120)-0.8429000.200600
Trim. Skewness (36/120)0.1081000.749000Trim. Kurtosis (36/120)-0.8822000.190200
Trim. Skewness (37/120)0.1374000.689200Trim. Kurtosis (37/120)-0.8739000.200600
Trim. Skewness (38/120)0.1402000.689200Trim. Kurtosis (38/120)-0.8159000.242000
Trim. Skewness (39/120)0.1662000.645600Trim. Kurtosis (39/120)-0.7468000.293800
Trim. Skewness (40/120)0.1829000.624200Trim. Kurtosis (40/120)-0.6900000.342200

\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)0.2455000.262800 & Trim. Kurtosis (0/120)0.3678000.400800 \tabularnewline Trim. Skewness (1/120)0.1774000.423800 & Trim. Kurtosis (1/120)0.2053000.638400 \tabularnewline Trim. Skewness (2/120)0.0959000.667200 & Trim. Kurtosis (2/120)-0.0767000.857200 \tabularnewline Trim. Skewness (3/120)-0.0096000.960200 & Trim. Kurtosis (3/120)-0.4257000.342200 \tabularnewline Trim. Skewness (4/120)-0.0153000.944200 & Trim. Kurtosis (4/120)-0.4411000.327000 \tabularnewline Trim. Skewness (5/120)-0.0270000.904400 & Trim. Kurtosis (5/120)-0.4586000.312400 \tabularnewline Trim. Skewness (6/120)-0.0362000.872800 & Trim. Kurtosis (6/120)-0.4488000.327000 \tabularnewline Trim. Skewness (7/120)-0.0531000.818000 & Trim. Kurtosis (7/120)-0.4440000.337000 \tabularnewline Trim. Skewness (8/120)-0.0691000.764200 & Trim. Kurtosis (8/120)-0.4371000.347200 \tabularnewline Trim. Skewness (9/120)-0.0892000.704000 & Trim. Kurtosis (9/120)-0.4472000.342200 \tabularnewline Trim. Skewness (10/120)-0.1216000.610000 & Trim. Kurtosis (10/120)-0.4556000.337000 \tabularnewline Trim. Skewness (11/120)-0.1396000.562000 & Trim. Kurtosis (11/120)-0.4506000.347200 \tabularnewline Trim. Skewness (12/120)-0.1651000.496400 & Trim. Kurtosis (12/120)-0.4676000.337000 \tabularnewline Trim. Skewness (13/120)-0.1972000.423800 & Trim. Kurtosis (13/120)-0.5177000.289200 \tabularnewline Trim. Skewness (14/120)-0.2056000.412200 & Trim. Kurtosis (14/120)-0.5172000.298400 \tabularnewline Trim. Skewness (15/120)-0.2038000.418000 & Trim. Kurtosis (15/120)-0.5317000.289200 \tabularnewline Trim. Skewness (16/120)-0.1889000.459200 & Trim. Kurtosis (16/120)-0.5477000.280200 \tabularnewline Trim. Skewness (17/120)-0.1711000.509200 & Trim. Kurtosis (17/120)-0.5896000.250200 \tabularnewline Trim. Skewness (18/120)-0.1775000.496400 & Trim. Kurtosis (18/120)-0.6055000.242000 \tabularnewline Trim. Skewness (19/120)-0.1791000.496400 & Trim. Kurtosis (19/120)-0.6640000.204000 \tabularnewline Trim. Skewness (20/120)-0.1874000.484000 & Trim. Kurtosis (20/120)-0.7010000.186800 \tabularnewline Trim. Skewness (21/120)-0.1692000.528600 & Trim. Kurtosis (21/120)-0.7450000.164600 \tabularnewline Trim. Skewness (22/120)-0.1561000.568600 & Trim. Kurtosis (22/120)-0.7690000.155600 \tabularnewline Trim. Skewness (23/120)-0.1477000.596200 & Trim. Kurtosis (23/120)-0.7700000.161600 \tabularnewline Trim. Skewness (24/120)-0.1339000.631200 & Trim. Kurtosis (24/120)-0.7739000.164600 \tabularnewline Trim. Skewness (25/120)-0.1050000.711400 & Trim. Kurtosis (25/120)-0.8109000.149800 \tabularnewline Trim. Skewness (26/120)-0.0834000.771800 & Trim. Kurtosis (26/120)-0.8484000.138800 \tabularnewline Trim. Skewness (27/120)-0.0758000.794800 & Trim. Kurtosis (27/120)-0.8657000.136200 \tabularnewline Trim. Skewness (28/120)-0.0384000.896600 & Trim. Kurtosis (28/120)-0.8912000.131000 \tabularnewline Trim. Skewness (29/120)0.0011000.992000 & Trim. Kurtosis (29/120)-0.9199000.123600 \tabularnewline Trim. Skewness (30/120)0.0184000.952200 & Trim. Kurtosis (30/120)-0.9006000.136200 \tabularnewline Trim. Skewness (31/120)0.0474000.872800 & Trim. Kurtosis (31/120)-0.8770000.155600 \tabularnewline Trim. Skewness (32/120)0.0696000.825800 & Trim. Kurtosis (32/120)-0.8491000.173800 \tabularnewline Trim. Skewness (33/120)0.0872000.787200 & Trim. Kurtosis (33/120)-0.8300000.193600 \tabularnewline Trim. Skewness (34/120)0.1228000.704000 & Trim. Kurtosis (34/120)-0.8419000.193600 \tabularnewline Trim. Skewness (35/120)0.1202000.718800 & Trim. Kurtosis (35/120)-0.8429000.200600 \tabularnewline Trim. Skewness (36/120)0.1081000.749000 & Trim. Kurtosis (36/120)-0.8822000.190200 \tabularnewline Trim. Skewness (37/120)0.1374000.689200 & Trim. Kurtosis (37/120)-0.8739000.200600 \tabularnewline Trim. Skewness (38/120)0.1402000.689200 & Trim. Kurtosis (38/120)-0.8159000.242000 \tabularnewline Trim. Skewness (39/120)0.1662000.645600 & Trim. Kurtosis (39/120)-0.7468000.293800 \tabularnewline Trim. Skewness (40/120)0.1829000.624200 & Trim. Kurtosis (40/120)-0.6900000.342200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103717&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]0.245500[/C]0.262800[/C][C]Trim. Kurtosis (0/120)[/C]0.367800[/C]0.400800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.177400[/C]0.423800[/C][C]Trim. Kurtosis (1/120)[/C]0.205300[/C]0.638400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.095900[/C]0.667200[/C][C]Trim. Kurtosis (2/120)[/C]-0.076700[/C]0.857200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.009600[/C]0.960200[/C][C]Trim. Kurtosis (3/120)[/C]-0.425700[/C]0.342200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.015300[/C]0.944200[/C][C]Trim. Kurtosis (4/120)[/C]-0.441100[/C]0.327000[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.027000[/C]0.904400[/C][C]Trim. Kurtosis (5/120)[/C]-0.458600[/C]0.312400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.036200[/C]0.872800[/C][C]Trim. Kurtosis (6/120)[/C]-0.448800[/C]0.327000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.053100[/C]0.818000[/C][C]Trim. Kurtosis (7/120)[/C]-0.444000[/C]0.337000[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.069100[/C]0.764200[/C][C]Trim. Kurtosis (8/120)[/C]-0.437100[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.089200[/C]0.704000[/C][C]Trim. Kurtosis (9/120)[/C]-0.447200[/C]0.342200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.121600[/C]0.610000[/C][C]Trim. Kurtosis (10/120)[/C]-0.455600[/C]0.337000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.139600[/C]0.562000[/C][C]Trim. Kurtosis (11/120)[/C]-0.450600[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.165100[/C]0.496400[/C][C]Trim. Kurtosis (12/120)[/C]-0.467600[/C]0.337000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.197200[/C]0.423800[/C][C]Trim. Kurtosis (13/120)[/C]-0.517700[/C]0.289200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.205600[/C]0.412200[/C][C]Trim. Kurtosis (14/120)[/C]-0.517200[/C]0.298400[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.203800[/C]0.418000[/C][C]Trim. Kurtosis (15/120)[/C]-0.531700[/C]0.289200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.188900[/C]0.459200[/C][C]Trim. Kurtosis (16/120)[/C]-0.547700[/C]0.280200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.171100[/C]0.509200[/C][C]Trim. Kurtosis (17/120)[/C]-0.589600[/C]0.250200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.177500[/C]0.496400[/C][C]Trim. Kurtosis (18/120)[/C]-0.605500[/C]0.242000[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.179100[/C]0.496400[/C][C]Trim. Kurtosis (19/120)[/C]-0.664000[/C]0.204000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.187400[/C]0.484000[/C][C]Trim. Kurtosis (20/120)[/C]-0.701000[/C]0.186800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.169200[/C]0.528600[/C][C]Trim. Kurtosis (21/120)[/C]-0.745000[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.156100[/C]0.568600[/C][C]Trim. Kurtosis (22/120)[/C]-0.769000[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.147700[/C]0.596200[/C][C]Trim. Kurtosis (23/120)[/C]-0.770000[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.133900[/C]0.631200[/C][C]Trim. Kurtosis (24/120)[/C]-0.773900[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.105000[/C]0.711400[/C][C]Trim. Kurtosis (25/120)[/C]-0.810900[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.083400[/C]0.771800[/C][C]Trim. Kurtosis (26/120)[/C]-0.848400[/C]0.138800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.075800[/C]0.794800[/C][C]Trim. Kurtosis (27/120)[/C]-0.865700[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.038400[/C]0.896600[/C][C]Trim. Kurtosis (28/120)[/C]-0.891200[/C]0.131000[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.001100[/C]0.992000[/C][C]Trim. Kurtosis (29/120)[/C]-0.919900[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.018400[/C]0.952200[/C][C]Trim. Kurtosis (30/120)[/C]-0.900600[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.047400[/C]0.872800[/C][C]Trim. Kurtosis (31/120)[/C]-0.877000[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.069600[/C]0.825800[/C][C]Trim. Kurtosis (32/120)[/C]-0.849100[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.087200[/C]0.787200[/C][C]Trim. Kurtosis (33/120)[/C]-0.830000[/C]0.193600[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.122800[/C]0.704000[/C][C]Trim. Kurtosis (34/120)[/C]-0.841900[/C]0.193600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.120200[/C]0.718800[/C][C]Trim. Kurtosis (35/120)[/C]-0.842900[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.108100[/C]0.749000[/C][C]Trim. Kurtosis (36/120)[/C]-0.882200[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.137400[/C]0.689200[/C][C]Trim. Kurtosis (37/120)[/C]-0.873900[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.140200[/C]0.689200[/C][C]Trim. Kurtosis (38/120)[/C]-0.815900[/C]0.242000[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.166200[/C]0.645600[/C][C]Trim. Kurtosis (39/120)[/C]-0.746800[/C]0.293800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.182900[/C]0.624200[/C][C]Trim. Kurtosis (40/120)[/C]-0.690000[/C]0.342200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103717&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103717&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 (0/120)0.2455000.262800Trim. Kurtosis (0/120)0.3678000.400800
Trim. Skewness (1/120)0.1774000.423800Trim. Kurtosis (1/120)0.2053000.638400
Trim. Skewness (2/120)0.0959000.667200Trim. Kurtosis (2/120)-0.0767000.857200
Trim. Skewness (3/120)-0.0096000.960200Trim. Kurtosis (3/120)-0.4257000.342200
Trim. Skewness (4/120)-0.0153000.944200Trim. Kurtosis (4/120)-0.4411000.327000
Trim. Skewness (5/120)-0.0270000.904400Trim. Kurtosis (5/120)-0.4586000.312400
Trim. Skewness (6/120)-0.0362000.872800Trim. Kurtosis (6/120)-0.4488000.327000
Trim. Skewness (7/120)-0.0531000.818000Trim. Kurtosis (7/120)-0.4440000.337000
Trim. Skewness (8/120)-0.0691000.764200Trim. Kurtosis (8/120)-0.4371000.347200
Trim. Skewness (9/120)-0.0892000.704000Trim. Kurtosis (9/120)-0.4472000.342200
Trim. Skewness (10/120)-0.1216000.610000Trim. Kurtosis (10/120)-0.4556000.337000
Trim. Skewness (11/120)-0.1396000.562000Trim. Kurtosis (11/120)-0.4506000.347200
Trim. Skewness (12/120)-0.1651000.496400Trim. Kurtosis (12/120)-0.4676000.337000
Trim. Skewness (13/120)-0.1972000.423800Trim. Kurtosis (13/120)-0.5177000.289200
Trim. Skewness (14/120)-0.2056000.412200Trim. Kurtosis (14/120)-0.5172000.298400
Trim. Skewness (15/120)-0.2038000.418000Trim. Kurtosis (15/120)-0.5317000.289200
Trim. Skewness (16/120)-0.1889000.459200Trim. Kurtosis (16/120)-0.5477000.280200
Trim. Skewness (17/120)-0.1711000.509200Trim. Kurtosis (17/120)-0.5896000.250200
Trim. Skewness (18/120)-0.1775000.496400Trim. Kurtosis (18/120)-0.6055000.242000
Trim. Skewness (19/120)-0.1791000.496400Trim. Kurtosis (19/120)-0.6640000.204000
Trim. Skewness (20/120)-0.1874000.484000Trim. Kurtosis (20/120)-0.7010000.186800
Trim. Skewness (21/120)-0.1692000.528600Trim. Kurtosis (21/120)-0.7450000.164600
Trim. Skewness (22/120)-0.1561000.568600Trim. Kurtosis (22/120)-0.7690000.155600
Trim. Skewness (23/120)-0.1477000.596200Trim. Kurtosis (23/120)-0.7700000.161600
Trim. Skewness (24/120)-0.1339000.631200Trim. Kurtosis (24/120)-0.7739000.164600
Trim. Skewness (25/120)-0.1050000.711400Trim. Kurtosis (25/120)-0.8109000.149800
Trim. Skewness (26/120)-0.0834000.771800Trim. Kurtosis (26/120)-0.8484000.138800
Trim. Skewness (27/120)-0.0758000.794800Trim. Kurtosis (27/120)-0.8657000.136200
Trim. Skewness (28/120)-0.0384000.896600Trim. Kurtosis (28/120)-0.8912000.131000
Trim. Skewness (29/120)0.0011000.992000Trim. Kurtosis (29/120)-0.9199000.123600
Trim. Skewness (30/120)0.0184000.952200Trim. Kurtosis (30/120)-0.9006000.136200
Trim. Skewness (31/120)0.0474000.872800Trim. Kurtosis (31/120)-0.8770000.155600
Trim. Skewness (32/120)0.0696000.825800Trim. Kurtosis (32/120)-0.8491000.173800
Trim. Skewness (33/120)0.0872000.787200Trim. Kurtosis (33/120)-0.8300000.193600
Trim. Skewness (34/120)0.1228000.704000Trim. Kurtosis (34/120)-0.8419000.193600
Trim. Skewness (35/120)0.1202000.718800Trim. Kurtosis (35/120)-0.8429000.200600
Trim. Skewness (36/120)0.1081000.749000Trim. Kurtosis (36/120)-0.8822000.190200
Trim. Skewness (37/120)0.1374000.689200Trim. Kurtosis (37/120)-0.8739000.200600
Trim. Skewness (38/120)0.1402000.689200Trim. Kurtosis (38/120)-0.8159000.242000
Trim. Skewness (39/120)0.1662000.645600Trim. Kurtosis (39/120)-0.7468000.293800
Trim. Skewness (40/120)0.1829000.624200Trim. Kurtosis (40/120)-0.6900000.342200


Figures (Output of Computation)

Input Parameters & R Code

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