Home » date » 2010 » Nov » 30 »

*The author of this computation has been verified*
R Software Module: /skewkurt.wasp (opens new window with default values)
Title produced by software: Skewness and Kurtosis
Date of computation: Tue, 30 Nov 2010 18:52:42 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t1291143041nf73ixwdwe8j7d1.htm/, Retrieved Tue, 30 Nov 2010 19:50:41 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t1291143041nf73ixwdwe8j7d1.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
7,88 7,27 6,98 7,12 7,12 6,96 6,70 7,00 7,01 7,04 7,07 7,27 7,33 7,20 7,29 7,43 7,36 7,30 7,32 7,61 7,51 7,65 7,48 7,33 7,16 7,13 6,22 6,42 6,42 6,32 6,39 6,35 6,11 6,15 6,15 5,97 5,85 5,75 5,96 5,99 5,89 5,90 5,88 5,70 5,66 5,73 5,63 5,56 5,46 5,53 5,48 5,08 5,07 4,94 4,99 4,90 4,93 5,22 5,17 5,07 4,90 4,81 4,96 4,83 4,91 4,83 4,93 5,03 5,20 5,17 5,29 5,49 5,25 5,15 5,44 4,99 5,43 5,62 5,64 5,70 5,81 5,74 5,89 6,00 5,87 5,84 6,00 6,10 5,99 5,93 5,74 5,99 5,74 5,68 5,78 5,78 5,80 5,70 5,90 5,55 5,39 5,18 5,26 5,24 5,17 5,23 5,40 5,47 5,32 5,57 5,83 6,15 6,34 6,24 6,34 7,02 6,95 6,83 6,80 6,72
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.258024FISHER 4th Cent. Mom.0.898224
FISHER beta 10.244154FISHER beta 22.136057
FISHER gamma 10.494119FISHER gamma 2-0.863943
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.209768FISHER Test 2-1.931836
FISHER Test 1 Probability0.027200FISHER Test 2 Probability0.052400
Pearson 20.612441
Yule using Quartile definition:
Weighted Average at Xnp
0.305344
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.315690
Yule using Quartile definition:
Empirical Distribution Function
0.305344
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.315589
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.315488
Yule using Quartile definition:
Closest Observation
0.305344
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.315488
Yule using Quartile definition:
MS Excel (old versions)
0.315789
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.500396Kurtosis (small sample)-0.849335
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.265480TEST 1 (small sample)-1.937659
TEST 1 Prob. (small sample)0.023200TEST 1 Prob. (small sample)0.052400
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.5004000.023200Trim. Kurtosis (0/120)-0.8493000.052400
Trim. Skewness (1/120)0.4845000.029200Trim. Kurtosis (1/120)-0.8964000.042400
Trim. Skewness (2/120)0.4858000.030000Trim. Kurtosis (2/120)-0.8965000.043400
Trim. Skewness (3/120)0.4888000.030800Trim. Kurtosis (3/120)-0.8968000.045600
Trim. Skewness (4/120)0.4939000.030000Trim. Kurtosis (4/120)-0.8816000.051200
Trim. Skewness (5/120)0.5006000.029200Trim. Kurtosis (5/120)-0.8654000.057400
Trim. Skewness (6/120)0.5100000.027800Trim. Kurtosis (6/120)-0.8440000.065800
Trim. Skewness (7/120)0.5234000.025000Trim. Kurtosis (7/120)-0.8127000.080200
Trim. Skewness (8/120)0.5396000.022600Trim. Kurtosis (8/120)-0.7778000.097000
Trim. Skewness (9/120)0.5559000.019800Trim. Kurtosis (9/120)-0.7439000.114200
Trim. Skewness (10/120)0.5718000.017800Trim. Kurtosis (10/120)-0.7096000.136200
Trim. Skewness (11/120)0.5870000.016000Trim. Kurtosis (11/120)-0.6726000.161600
Trim. Skewness (12/120)0.6036000.013800Trim. Kurtosis (12/120)-0.6370000.190200
Trim. Skewness (13/120)0.6179000.012800Trim. Kurtosis (13/120)-0.5993000.222400
Trim. Skewness (14/120)0.6266000.012400Trim. Kurtosis (14/120)-0.5670000.254200
Trim. Skewness (15/120)0.6433000.011000Trim. Kurtosis (15/120)-0.5188000.298400
Trim. Skewness (16/120)0.6640000.009600Trim. Kurtosis (16/120)-0.4613000.362800
Trim. Skewness (17/120)0.6793000.008800Trim. Kurtosis (17/120)-0.3946000.441200
Trim. Skewness (18/120)0.6922000.008200Trim. Kurtosis (18/120)-0.3260000.528600
Trim. Skewness (19/120)0.7028000.008000Trim. Kurtosis (19/120)-0.2619000.617000
Trim. Skewness (20/120)0.7200000.007400Trim. Kurtosis (20/120)-0.1807000.733800
Trim. Skewness (21/120)0.7396000.006600Trim. Kurtosis (21/120)-0.0885000.865000
Trim. Skewness (22/120)0.7575000.006000Trim. Kurtosis (22/120)0.0106000.984000
Trim. Skewness (23/120)0.7696000.005800Trim. Kurtosis (23/120)0.1071000.841400
Trim. Skewness (24/120)0.7748000.006200Trim. Kurtosis (24/120)0.1911000.726400
Trim. Skewness (25/120)0.7721000.007000Trim. Kurtosis (25/120)0.2555000.645600
Trim. Skewness (26/120)0.7555000.009400Trim. Kurtosis (26/120)0.2735000.631200
Trim. Skewness (27/120)0.7072000.016400Trim. Kurtosis (27/120)0.1605000.779400
Trim. Skewness (28/120)0.6809000.022600Trim. Kurtosis (28/120)0.1251000.825800
Trim. Skewness (29/120)0.6202000.040400Trim. Kurtosis (29/120)-0.0315000.952200
Trim. Skewness (30/120)0.5335000.083600Trim. Kurtosis (30/120)-0.2068000.733800
Trim. Skewness (31/120)0.3759000.230200Trim. Kurtosis (31/120)-0.6740000.271400
Trim. Skewness (32/120)0.3855000.226200Trim. Kurtosis (32/120)-0.6197000.322200
Trim. Skewness (33/120)0.3845000.234000Trim. Kurtosis (33/120)-0.5916000.352400
Trim. Skewness (34/120)0.3829000.246000Trim. Kurtosis (34/120)-0.5536000.389800
Trim. Skewness (35/120)0.3964000.238000Trim. Kurtosis (35/120)-0.4869000.459200
Trim. Skewness (36/120)0.4052000.234000Trim. Kurtosis (36/120)-0.4414000.509200
Trim. Skewness (37/120)0.3901000.262800Trim. Kurtosis (37/120)-0.4953000.465400
Trim. Skewness (38/120)0.3213000.368200Trim. Kurtosis (38/120)-0.6500000.352400
Trim. Skewness (39/120)0.3059000.400800Trim. Kurtosis (39/120)-0.6644000.352400
Trim. Skewness (40/120)0.2828000.447200Trim. Kurtosis (40/120)-0.7432000.307800
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





Copyright

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.


Privacy Policy

We may request personal information to be submitted to our servers in order to be able to:

  • personalize online software applications according to your needs
  • enforce strict security rules with respect to the data that you upload (e.g. statistical data)
  • manage user sessions of online applications
  • alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.


FreeStatistics.org is powered by