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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 15:07:26 +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/t12911295272q57dg1ph7tpghk.htm/, Retrieved Mon, 29 Apr 2024 12:45:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103587, Retrieved Mon, 29 Apr 2024 12:45:06 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
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Dataseries X:
49.95765711
51.29245671
45.90504803
53.35140231
48.61941823
51.33242223
54.47700793
47.78455927
50.49771407
49.20807305
47.84584973
50.49328952
53.27221601
50.47985641
51.20705641
50.90436187
50.8323898
51.94703257
49.50379581
46.98906976
52.59953623
46.1381534
50.76933804
48.61955635
55.26553927
56.34171854
47.66144216
51.89315426
45.17765733
49.17878423
52.04436023
48.33977929
50.65822184
55.33322117
48.32007257
44.1215462
53.0453659
48.8226954
45.76150499
53.66858463
51.04731
46.29327109
50.96070821
48.73301217
50.67487815
49.38835681
50.65359321
48.04384008
50.57798461
45.49882348
54.42895341
48.20102034
45.42722902
50.15558821
44.36330041
50.9921709
44.72881088
42.95041125
46.44258233
47.90499109
55.59141265
49.91717638
48.64459474
52.3540081
47.88427095
55.78504068
46.28947217
51.36216404
46.19513796
50.03832945
48.20854343
47.25191931
48.00277537
48.0956314
47.2224981
53.57496232
44.92671669
49.60069249
43.8927417
51.53232533
46.82151418
55.06235643
47.43193584
44.71515094
46.72294182
54.27934652
50.58252799
46.30281829
51.51616252
50.72693427
52.28914018
49.5479787
53.87562808
49.9793131
55.97439966
52.68995625
49.565144
54.08573693
49.94826996
45.26390454
48.60862212
49.61935629
48.40119814
48.88889012
48.71529118
47.97436027
55.50800179
48.91474953
55.24186481
51.06008952
55.04195769
53.40203355
53.89729429
49.01304388
48.63839547
51.48448549
50.8709664
44.72303882
50.59240076
46.60575894
51.93159836
46.39175242
49.63670345
51.89047964
53.13534529
49.62553186
49.84907205
49.05097189
54.8170704
46.96167235
50.88409152
46.43061573
45.23401172
47.24682167
46.73864833
45.05035403
51.9900512
55.05450597
50.96663809
52.0374388
50.64871798
51.10343308
53.18680542
52.78871085
50.86692653
53.81503757
54.8015622
46.67317057
50.88125139
49.78716195
50.16460027
53.50822736
49.04735714
50.15600067
47.04287311
50.0366246
45.28621428
52.83645914
47.07567032
47.68917464
45.48462672
47.52060943
49.53592082
47.86453061
44.01503164
49.5405707
45.03437822
53.664345
48.4533726
49.44245235
52.76145796
43.96960277
49.27316175
51.56165147
47.18801579
50.21946021
49.63126347
52.11645482
49.35880268
47.8149056
50.90886094
52.19892268
49.17487415
46.47808285
48.07029991
55.02880555
50.94815979
47.11175505
51.34622144
52.81504397
49.73456127
47.7778716
48.04289344
43.62485428
51.42321143
50.84637462
53.41667366
56.41795306
53.66851549
43.48829757
50.01734517
52.84643537
49.22851569
51.07545075
51.78429609
51.04844237
48.76904239
50.39075122
46.38321816
46.97348827
51.07914614
50.07665725
51.74073674
49.12158097
45.95322998
53.83985899
59.84230694
50.29127394
49.80643551
52.8813603
50.22328702
47.77736884
51.18773829
48.96039712
47.66212391
51.1227996
47.7650272
50.67983519
47.8369
52.63501526
45.53116611
48.50858702
51.59734264
53.23523322
55.57150714
49.23285802
55.09070025
49.86303125
51.25217923
49.82655325
53.21963481
46.57685997
49.06730153
51.54014024
48.9991861
51.45684634
53.26735007
49.27835484
43.64057366
51.25261198
54.30352316
51.3629364
49.09874823
58.31179282
48.77344411
46.0419719
51.02980576
50.75521763
50.35550373
50.11461477
52.2336586
43.98086874
52.96851275
48.08819589
50.89099489
49.30720386
45.39863377
53.97184854
51.63654141
55.60547009
51.40209947
46.74202176
48.66546023
48.21819195
44.77029137
48.47116449
44.69369626
49.99672758
50.17779307
50.18538705
56.00470329
51.68472418
47.11539447
58.0271615
50.66668836
50.73891195
49.13994266
42.94646135
49.38027119
46.29126232
51.94699785
54.09192374
47.94938929
46.78141532
49.0378713
45.46246599
52.43171135
47.58967682
50.83307966
50.39470913
50.67938757
46.89653727
51.94985666
54.5716465
53.40639487
48.09356702
54.33033899
46.06995697
50.43021354
48.43234374
51.1922429
51.4527232
54.31296537
54.76923875
42.3782093
48.08600399
48.9750353
48.85997634
49.28192974
46.27387287
48.73000225
50.90720853
53.91520022
54.20535022
56.04709036
47.88554116
50.49630834
46.69494335
52.71039249
51.32695673
47.58706567
51.29639278
47.62478572
55.20597393
51.65899949
44.30180533
54.43340198
49.48084632
52.44431716
55.38069755
53.4513422
48.35428172
46.87693147
48.0069254
46.04838106
47.08771148
48.53870543
44.84505877
43.67103964
53.75748271
51.84635754
49.30145966
47.75560494
52.04852125
45.87721049
51.03620838
48.9579458
47.48156887
48.65459231
48.29853899
49.44868179
47.32750934
46.60846017
51.94103686
50.39554359
51.38282635
49.2316971
53.37310738
49.37419279
46.80546633
47.72564207
50.95546558
55.16177382
48.77907852
48.31756832
47.64136535
50.34156396
49.96206198
47.37153571
48.26022184
51.98359726
50.74822528
52.33575475
52.57404456
52.73017696
50.26654283
46.41945706
50.03495434
56.59115757
49.15712138
50.32652909
47.15169271
51.5162164
48.93196181
48.75088705
46.3810201
46.49642551
47.49253286
53.18315662
51.05724622
45.39912886
46.54082414
52.85729354
51.41359589
49.96428822
52.65232027
50.99506538
47.86271132
46.54772149
46.71745781
49.97285661
48.80289718
49.29185881
47.24658629
46.65490692
49.41311149
53.17160079
45.15061118
48.23931925
53.13961518
45.87979406
44.43215468
48.11175344
48.93101285
52.43583364
49.29936961
47.83756266
51.30571681
52.31669365
50.02790099
49.15524906
54.01217486
53.28848753
49.69734215
53.67714151
48.12697342
47.50962452
50.51937008
54.20727643
56.4479532
50.82497452
47.45589055
45.36046027
49.63576758
54.34494376
53.14377225
51.11492426
45.64156738
48.69745711
51.24560843
47.25930613
48.61028657
51.36138754
50.20589968
48.59564867
54.48910552
50.52180954
54.74510504
52.38684382
50.18993044
50.71829541
48.54117795
44.7580524
51.02419886
51.87934346
51.88940237
47.1143923
53.30709607
53.39688107
49.41964976
48.09675624
49.98598271
48.41509723
43.24455552
55.04275697
54.90251214
51.71737161
54.18134207
55.13423236
48.54453695
45.37227731
50.6597591
47.25575797
54.65606756
48.95546299
49.23095133
52.90209584
53.79914977
47.40603482
50.04081808
56.86411265
52.10498443
44.95779372
45.47883173
51.48308922
45.482388
47.38242799
52.13760461
47.57421641
52.87858017




Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.3.345722FISHER 4th Cent. Mom.226.202990
FISHER beta 10.014649FISHER beta 22.706322
FISHER gamma 10.121032FISHER gamma 2-0.293678
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.104867FISHER Test 2-1.340449
FISHER Test 1 Probability0.267000FISHER Test 2 Probability0.177000
Pearson 2-0.034209
Yule using Quartile definition:Weighted Average at Xnp-0.058902
Yule using Quartile definition:Weighted Average at X(n+1)p-0.049781
Yule using Quartile definition:Empirical Distribution Function-0.058902
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.050481
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.051187
Yule using Quartile definition:Closest Observation-0.058902
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.051187
Yule using Quartile definition:MS Excel (old versions)-0.049086
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.121397Kurtosis (small sample)-0.284539
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.111510TEST 1 (small sample)-1.305188
TEST 1 Prob. (small sample)0.262800TEST 1 Prob. (small sample)0.190200
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.3.345722 & FISHER 4th Cent. Mom.226.202990 \tabularnewline FISHER beta 10.014649 & FISHER beta 22.706322 \tabularnewline FISHER gamma 10.121032 & FISHER gamma 2-0.293678 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 11.104867 & FISHER Test 2-1.340449 \tabularnewline FISHER Test 1 Probability0.267000 & FISHER Test 2 Probability0.177000 \tabularnewline Pearson 2-0.034209 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.058902 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.049781 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.058902 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.050481 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.051187 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.058902 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.051187 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.049086 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.121397 & Kurtosis (small sample)-0.284539 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)1.111510 & TEST 1 (small sample)-1.305188 \tabularnewline TEST 1 Prob. (small sample)0.262800 & TEST 1 Prob. (small sample)0.190200 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103587&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]3.345722[/C][C]FISHER 4th Cent. Mom.[/C]226.202990[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.014649[/C][C]FISHER beta 2[/C]2.706322[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.121032[/C][C]FISHER gamma 2[/C]-0.293678[/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]1.104867[/C][C]FISHER Test 2[/C]-1.340449[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.267000[/C][C]FISHER Test 2 Probability[/C]0.177000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.034209[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.058902[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.049781[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.058902[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.050481[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.051187[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.058902[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.051187[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.049086[/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]0.121397[/C][C]Kurtosis (small sample)[/C]-0.284539[/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]1.111510[/C][C]TEST 1 (small sample)[/C]-1.305188[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.262800[/C][C]TEST 1 Prob. (small sample)[/C]0.190200[/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=103587&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103587&T=0

As an alternative you can also use a QR Code:  

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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.3.345722FISHER 4th Cent. Mom.226.202990
FISHER beta 10.014649FISHER beta 22.706322
FISHER gamma 10.121032FISHER gamma 2-0.293678
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.104867FISHER Test 2-1.340449
FISHER Test 1 Probability0.267000FISHER Test 2 Probability0.177000
Pearson 2-0.034209
Yule using Quartile definition:Weighted Average at Xnp-0.058902
Yule using Quartile definition:Weighted Average at X(n+1)p-0.049781
Yule using Quartile definition:Empirical Distribution Function-0.058902
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.050481
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.051187
Yule using Quartile definition:Closest Observation-0.058902
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.051187
Yule using Quartile definition:MS Excel (old versions)-0.049086
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.121397Kurtosis (small sample)-0.284539
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.111510TEST 1 (small sample)-1.305188
TEST 1 Prob. (small sample)0.262800TEST 1 Prob. (small sample)0.190200
Observations500







Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.1214000.262800Trim. Kurtosis (0/500)-0.2845000.190200
Trim. Skewness (1/500)0.0908000.406600Trim. Kurtosis (1/500)-0.4332000.046600
Trim. Skewness (2/500)0.0774000.477600Trim. Kurtosis (2/500)-0.4973000.022600
Trim. Skewness (3/500)0.0667000.541800Trim. Kurtosis (3/500)-0.5587000.010800
Trim. Skewness (4/500)0.0662000.541800Trim. Kurtosis (4/500)-0.5843000.007800
Trim. Skewness (5/500)0.0659000.548400Trim. Kurtosis (5/500)-0.6030000.006200
Trim. Skewness (6/500)0.0657000.548400Trim. Kurtosis (6/500)-0.6195000.005000
Trim. Skewness (7/500)0.0655000.548400Trim. Kurtosis (7/500)-0.6377000.003800
Trim. Skewness (8/500)0.0657000.548400Trim. Kurtosis (8/500)-0.6567000.003000
Trim. Skewness (9/500)0.0666000.548400Trim. Kurtosis (9/500)-0.6690000.002600
Trim. Skewness (10/500)0.0672000.541800Trim. Kurtosis (10/500)-0.6814000.002200
Trim. Skewness (11/500)0.0679000.541800Trim. Kurtosis (11/500)-0.6953000.001800
Trim. Skewness (12/500)0.0700000.528600Trim. Kurtosis (12/500)-0.7075000.001600
Trim. Skewness (13/500)0.0728000.515600Trim. Kurtosis (13/500)-0.7170000.001400
Trim. Skewness (14/500)0.0741000.509200Trim. Kurtosis (14/500)-0.7251000.001200
Trim. Skewness (15/500)0.0752000.502800Trim. Kurtosis (15/500)-0.7336000.001000
Trim. Skewness (16/500)0.0762000.496400Trim. Kurtosis (16/500)-0.7417000.001000
Trim. Skewness (17/500)0.0761000.496400Trim. Kurtosis (17/500)-0.7457000.001000
Trim. Skewness (18/500)0.0762000.496400Trim. Kurtosis (18/500)-0.7499000.001000
Trim. Skewness (19/500)0.0768000.496400Trim. Kurtosis (19/500)-0.7542000.000800
Trim. Skewness (20/500)0.0775000.490200Trim. Kurtosis (20/500)-0.7592000.000800
Trim. Skewness (21/500)0.0783000.490200Trim. Kurtosis (21/500)-0.7645000.000800
Trim. Skewness (22/500)0.0793000.484000Trim. Kurtosis (22/500)-0.7702000.000800
Trim. Skewness (23/500)0.0800000.484000Trim. Kurtosis (23/500)-0.7758000.000600
Trim. Skewness (24/500)0.0803000.484000Trim. Kurtosis (24/500)-0.7808000.000600
Trim. Skewness (25/500)0.0807000.477600Trim. Kurtosis (25/500)-0.7862000.000600
Trim. Skewness (26/500)0.0804000.484000Trim. Kurtosis (26/500)-0.7917000.000600
Trim. Skewness (27/500)0.0800000.484000Trim. Kurtosis (27/500)-0.7981000.000600
Trim. Skewness (28/500)0.0787000.496400Trim. Kurtosis (28/500)-0.8046000.000600
Trim. Skewness (29/500)0.0771000.502800Trim. Kurtosis (29/500)-0.8118000.000400
Trim. Skewness (30/500)0.0762000.509200Trim. Kurtosis (30/500)-0.8173000.000400
Trim. Skewness (31/500)0.0757000.515600Trim. Kurtosis (31/500)-0.8222000.000400
Trim. Skewness (32/500)0.0751000.515600Trim. Kurtosis (32/500)-0.8278000.000400
Trim. Skewness (33/500)0.0741000.522200Trim. Kurtosis (33/500)-0.8331000.000400
Trim. Skewness (34/500)0.0731000.528600Trim. Kurtosis (34/500)-0.8390000.000400
Trim. Skewness (35/500)0.0727000.535200Trim. Kurtosis (35/500)-0.8443000.000400
Trim. Skewness (36/500)0.0730000.535200Trim. Kurtosis (36/500)-0.8493000.000400
Trim. Skewness (37/500)0.0738000.528600Trim. Kurtosis (37/500)-0.8537000.000200
Trim. Skewness (38/500)0.0744000.528600Trim. Kurtosis (38/500)-0.8586000.000200
Trim. Skewness (39/500)0.0753000.522200Trim. Kurtosis (39/500)-0.8636000.000200
Trim. Skewness (40/500)0.0762000.515600Trim. Kurtosis (40/500)-0.8699000.000200

\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)0.1214000.262800 & Trim. Kurtosis (0/500)-0.2845000.190200 \tabularnewline Trim. Skewness (1/500)0.0908000.406600 & Trim. Kurtosis (1/500)-0.4332000.046600 \tabularnewline Trim. Skewness (2/500)0.0774000.477600 & Trim. Kurtosis (2/500)-0.4973000.022600 \tabularnewline Trim. Skewness (3/500)0.0667000.541800 & Trim. Kurtosis (3/500)-0.5587000.010800 \tabularnewline Trim. Skewness (4/500)0.0662000.541800 & Trim. Kurtosis (4/500)-0.5843000.007800 \tabularnewline Trim. Skewness (5/500)0.0659000.548400 & Trim. Kurtosis (5/500)-0.6030000.006200 \tabularnewline Trim. Skewness (6/500)0.0657000.548400 & Trim. Kurtosis (6/500)-0.6195000.005000 \tabularnewline Trim. Skewness (7/500)0.0655000.548400 & Trim. Kurtosis (7/500)-0.6377000.003800 \tabularnewline Trim. Skewness (8/500)0.0657000.548400 & Trim. Kurtosis (8/500)-0.6567000.003000 \tabularnewline Trim. Skewness (9/500)0.0666000.548400 & Trim. Kurtosis (9/500)-0.6690000.002600 \tabularnewline Trim. Skewness (10/500)0.0672000.541800 & Trim. Kurtosis (10/500)-0.6814000.002200 \tabularnewline Trim. Skewness (11/500)0.0679000.541800 & Trim. Kurtosis (11/500)-0.6953000.001800 \tabularnewline Trim. Skewness (12/500)0.0700000.528600 & Trim. Kurtosis (12/500)-0.7075000.001600 \tabularnewline Trim. Skewness (13/500)0.0728000.515600 & Trim. Kurtosis (13/500)-0.7170000.001400 \tabularnewline Trim. Skewness (14/500)0.0741000.509200 & Trim. Kurtosis (14/500)-0.7251000.001200 \tabularnewline Trim. Skewness (15/500)0.0752000.502800 & Trim. Kurtosis (15/500)-0.7336000.001000 \tabularnewline Trim. Skewness (16/500)0.0762000.496400 & Trim. Kurtosis (16/500)-0.7417000.001000 \tabularnewline Trim. Skewness (17/500)0.0761000.496400 & Trim. Kurtosis (17/500)-0.7457000.001000 \tabularnewline Trim. Skewness (18/500)0.0762000.496400 & Trim. Kurtosis (18/500)-0.7499000.001000 \tabularnewline Trim. Skewness (19/500)0.0768000.496400 & Trim. Kurtosis (19/500)-0.7542000.000800 \tabularnewline Trim. Skewness (20/500)0.0775000.490200 & Trim. Kurtosis (20/500)-0.7592000.000800 \tabularnewline Trim. Skewness (21/500)0.0783000.490200 & Trim. Kurtosis (21/500)-0.7645000.000800 \tabularnewline Trim. Skewness (22/500)0.0793000.484000 & Trim. Kurtosis (22/500)-0.7702000.000800 \tabularnewline Trim. Skewness (23/500)0.0800000.484000 & Trim. Kurtosis (23/500)-0.7758000.000600 \tabularnewline Trim. Skewness (24/500)0.0803000.484000 & Trim. Kurtosis (24/500)-0.7808000.000600 \tabularnewline Trim. Skewness (25/500)0.0807000.477600 & Trim. Kurtosis (25/500)-0.7862000.000600 \tabularnewline Trim. Skewness (26/500)0.0804000.484000 & Trim. Kurtosis (26/500)-0.7917000.000600 \tabularnewline Trim. Skewness (27/500)0.0800000.484000 & Trim. Kurtosis (27/500)-0.7981000.000600 \tabularnewline Trim. Skewness (28/500)0.0787000.496400 & Trim. Kurtosis (28/500)-0.8046000.000600 \tabularnewline Trim. Skewness (29/500)0.0771000.502800 & Trim. Kurtosis (29/500)-0.8118000.000400 \tabularnewline Trim. Skewness (30/500)0.0762000.509200 & Trim. Kurtosis (30/500)-0.8173000.000400 \tabularnewline Trim. Skewness (31/500)0.0757000.515600 & Trim. Kurtosis (31/500)-0.8222000.000400 \tabularnewline Trim. Skewness (32/500)0.0751000.515600 & Trim. Kurtosis (32/500)-0.8278000.000400 \tabularnewline Trim. Skewness (33/500)0.0741000.522200 & Trim. Kurtosis (33/500)-0.8331000.000400 \tabularnewline Trim. Skewness (34/500)0.0731000.528600 & Trim. Kurtosis (34/500)-0.8390000.000400 \tabularnewline Trim. Skewness (35/500)0.0727000.535200 & Trim. Kurtosis (35/500)-0.8443000.000400 \tabularnewline Trim. Skewness (36/500)0.0730000.535200 & Trim. Kurtosis (36/500)-0.8493000.000400 \tabularnewline Trim. Skewness (37/500)0.0738000.528600 & Trim. Kurtosis (37/500)-0.8537000.000200 \tabularnewline Trim. Skewness (38/500)0.0744000.528600 & Trim. Kurtosis (38/500)-0.8586000.000200 \tabularnewline Trim. Skewness (39/500)0.0753000.522200 & Trim. Kurtosis (39/500)-0.8636000.000200 \tabularnewline Trim. Skewness (40/500)0.0762000.515600 & Trim. Kurtosis (40/500)-0.8699000.000200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103587&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]0.121400[/C]0.262800[/C][C]Trim. Kurtosis (0/500)[/C]-0.284500[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.090800[/C]0.406600[/C][C]Trim. Kurtosis (1/500)[/C]-0.433200[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.077400[/C]0.477600[/C][C]Trim. Kurtosis (2/500)[/C]-0.497300[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.066700[/C]0.541800[/C][C]Trim. Kurtosis (3/500)[/C]-0.558700[/C]0.010800[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.066200[/C]0.541800[/C][C]Trim. Kurtosis (4/500)[/C]-0.584300[/C]0.007800[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.065900[/C]0.548400[/C][C]Trim. Kurtosis (5/500)[/C]-0.603000[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.065700[/C]0.548400[/C][C]Trim. Kurtosis (6/500)[/C]-0.619500[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.065500[/C]0.548400[/C][C]Trim. Kurtosis (7/500)[/C]-0.637700[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.065700[/C]0.548400[/C][C]Trim. Kurtosis (8/500)[/C]-0.656700[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.066600[/C]0.548400[/C][C]Trim. Kurtosis (9/500)[/C]-0.669000[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.067200[/C]0.541800[/C][C]Trim. Kurtosis (10/500)[/C]-0.681400[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.067900[/C]0.541800[/C][C]Trim. Kurtosis (11/500)[/C]-0.695300[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.070000[/C]0.528600[/C][C]Trim. Kurtosis (12/500)[/C]-0.707500[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.072800[/C]0.515600[/C][C]Trim. Kurtosis (13/500)[/C]-0.717000[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.074100[/C]0.509200[/C][C]Trim. Kurtosis (14/500)[/C]-0.725100[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.075200[/C]0.502800[/C][C]Trim. Kurtosis (15/500)[/C]-0.733600[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.076200[/C]0.496400[/C][C]Trim. Kurtosis (16/500)[/C]-0.741700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.076100[/C]0.496400[/C][C]Trim. Kurtosis (17/500)[/C]-0.745700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.076200[/C]0.496400[/C][C]Trim. Kurtosis (18/500)[/C]-0.749900[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.076800[/C]0.496400[/C][C]Trim. Kurtosis (19/500)[/C]-0.754200[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.077500[/C]0.490200[/C][C]Trim. Kurtosis (20/500)[/C]-0.759200[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.078300[/C]0.490200[/C][C]Trim. Kurtosis (21/500)[/C]-0.764500[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.079300[/C]0.484000[/C][C]Trim. Kurtosis (22/500)[/C]-0.770200[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.080000[/C]0.484000[/C][C]Trim. Kurtosis (23/500)[/C]-0.775800[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.080300[/C]0.484000[/C][C]Trim. Kurtosis (24/500)[/C]-0.780800[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.080700[/C]0.477600[/C][C]Trim. Kurtosis (25/500)[/C]-0.786200[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.080400[/C]0.484000[/C][C]Trim. Kurtosis (26/500)[/C]-0.791700[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.080000[/C]0.484000[/C][C]Trim. Kurtosis (27/500)[/C]-0.798100[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.078700[/C]0.496400[/C][C]Trim. Kurtosis (28/500)[/C]-0.804600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.077100[/C]0.502800[/C][C]Trim. Kurtosis (29/500)[/C]-0.811800[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.076200[/C]0.509200[/C][C]Trim. Kurtosis (30/500)[/C]-0.817300[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.075700[/C]0.515600[/C][C]Trim. Kurtosis (31/500)[/C]-0.822200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.075100[/C]0.515600[/C][C]Trim. Kurtosis (32/500)[/C]-0.827800[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.074100[/C]0.522200[/C][C]Trim. Kurtosis (33/500)[/C]-0.833100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.073100[/C]0.528600[/C][C]Trim. Kurtosis (34/500)[/C]-0.839000[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.072700[/C]0.535200[/C][C]Trim. Kurtosis (35/500)[/C]-0.844300[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.073000[/C]0.535200[/C][C]Trim. Kurtosis (36/500)[/C]-0.849300[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.073800[/C]0.528600[/C][C]Trim. Kurtosis (37/500)[/C]-0.853700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.074400[/C]0.528600[/C][C]Trim. Kurtosis (38/500)[/C]-0.858600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.075300[/C]0.522200[/C][C]Trim. Kurtosis (39/500)[/C]-0.863600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.076200[/C]0.515600[/C][C]Trim. Kurtosis (40/500)[/C]-0.869900[/C]0.000200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103587&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103587&T=1

As an alternative you can also use a 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)0.1214000.262800Trim. Kurtosis (0/500)-0.2845000.190200
Trim. Skewness (1/500)0.0908000.406600Trim. Kurtosis (1/500)-0.4332000.046600
Trim. Skewness (2/500)0.0774000.477600Trim. Kurtosis (2/500)-0.4973000.022600
Trim. Skewness (3/500)0.0667000.541800Trim. Kurtosis (3/500)-0.5587000.010800
Trim. Skewness (4/500)0.0662000.541800Trim. Kurtosis (4/500)-0.5843000.007800
Trim. Skewness (5/500)0.0659000.548400Trim. Kurtosis (5/500)-0.6030000.006200
Trim. Skewness (6/500)0.0657000.548400Trim. Kurtosis (6/500)-0.6195000.005000
Trim. Skewness (7/500)0.0655000.548400Trim. Kurtosis (7/500)-0.6377000.003800
Trim. Skewness (8/500)0.0657000.548400Trim. Kurtosis (8/500)-0.6567000.003000
Trim. Skewness (9/500)0.0666000.548400Trim. Kurtosis (9/500)-0.6690000.002600
Trim. Skewness (10/500)0.0672000.541800Trim. Kurtosis (10/500)-0.6814000.002200
Trim. Skewness (11/500)0.0679000.541800Trim. Kurtosis (11/500)-0.6953000.001800
Trim. Skewness (12/500)0.0700000.528600Trim. Kurtosis (12/500)-0.7075000.001600
Trim. Skewness (13/500)0.0728000.515600Trim. Kurtosis (13/500)-0.7170000.001400
Trim. Skewness (14/500)0.0741000.509200Trim. Kurtosis (14/500)-0.7251000.001200
Trim. Skewness (15/500)0.0752000.502800Trim. Kurtosis (15/500)-0.7336000.001000
Trim. Skewness (16/500)0.0762000.496400Trim. Kurtosis (16/500)-0.7417000.001000
Trim. Skewness (17/500)0.0761000.496400Trim. Kurtosis (17/500)-0.7457000.001000
Trim. Skewness (18/500)0.0762000.496400Trim. Kurtosis (18/500)-0.7499000.001000
Trim. Skewness (19/500)0.0768000.496400Trim. Kurtosis (19/500)-0.7542000.000800
Trim. Skewness (20/500)0.0775000.490200Trim. Kurtosis (20/500)-0.7592000.000800
Trim. Skewness (21/500)0.0783000.490200Trim. Kurtosis (21/500)-0.7645000.000800
Trim. Skewness (22/500)0.0793000.484000Trim. Kurtosis (22/500)-0.7702000.000800
Trim. Skewness (23/500)0.0800000.484000Trim. Kurtosis (23/500)-0.7758000.000600
Trim. Skewness (24/500)0.0803000.484000Trim. Kurtosis (24/500)-0.7808000.000600
Trim. Skewness (25/500)0.0807000.477600Trim. Kurtosis (25/500)-0.7862000.000600
Trim. Skewness (26/500)0.0804000.484000Trim. Kurtosis (26/500)-0.7917000.000600
Trim. Skewness (27/500)0.0800000.484000Trim. Kurtosis (27/500)-0.7981000.000600
Trim. Skewness (28/500)0.0787000.496400Trim. Kurtosis (28/500)-0.8046000.000600
Trim. Skewness (29/500)0.0771000.502800Trim. Kurtosis (29/500)-0.8118000.000400
Trim. Skewness (30/500)0.0762000.509200Trim. Kurtosis (30/500)-0.8173000.000400
Trim. Skewness (31/500)0.0757000.515600Trim. Kurtosis (31/500)-0.8222000.000400
Trim. Skewness (32/500)0.0751000.515600Trim. Kurtosis (32/500)-0.8278000.000400
Trim. Skewness (33/500)0.0741000.522200Trim. Kurtosis (33/500)-0.8331000.000400
Trim. Skewness (34/500)0.0731000.528600Trim. Kurtosis (34/500)-0.8390000.000400
Trim. Skewness (35/500)0.0727000.535200Trim. Kurtosis (35/500)-0.8443000.000400
Trim. Skewness (36/500)0.0730000.535200Trim. Kurtosis (36/500)-0.8493000.000400
Trim. Skewness (37/500)0.0738000.528600Trim. Kurtosis (37/500)-0.8537000.000200
Trim. Skewness (38/500)0.0744000.528600Trim. Kurtosis (38/500)-0.8586000.000200
Trim. Skewness (39/500)0.0753000.522200Trim. Kurtosis (39/500)-0.8636000.000200
Trim. Skewness (40/500)0.0762000.515600Trim. Kurtosis (40/500)-0.8699000.000200



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