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Author's title

Author*Unverified author*
R Software Modulerwasp_variability.wasp
Title produced by softwareVariability
Date of computationWed, 02 May 2012 12:42:53 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/02/t13359770340tdhmv6sjfthusp.htm/, Retrieved Thu, 31 Oct 2024 23:27:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165959, Retrieved Thu, 31 Oct 2024 23:27:06 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Variability] [spreidingsmaten s...] [2012-05-02 16:42:53] [c6701916d11cfe737d4a1a362ef25325] [Current]
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Dataseries X:
25
25
25
25
29
30
30
29
35
30
30
30
29
30
30
26
30
30
30
35
30
30
30
50
25
29
30
25
30
30
25
42
29
15
29
30
25
20
10
30
29
30
50
25
30
30
25
50
29
30
30
30
30
30
30
29
35
40
29
26
23
25
30
30
30
30
20
29
25
25
28
30
30
25
30
31
30
29
45
30
30
35
30
30
25
50
40
20
35
22
30
25
30
30
29
50
45
30
26
30
29
35
20
29
25
30
45
35
30
30
40
20
26
29
20
25
30
30
25
30
23
25
30
30
40
30
40
35
40
30
25
33
30
30
30
35
33
35
30
40
29
25
27
30
30
35
20
30
30
25
25
30
30
30
40
40
30
40
20
50
20
30
30
30
30
25
30
30
30
30
30
30
23
30
25
50
20
23
25
29
26
40
30
30
35
20
29
25
30
30
30
50
30
35
30
30
30
35
30
35
15
30
20
35
40
30
30
40
29
30
20
35
50
30
30
40
30
50
18
15
30
23
29
30
35
30
23
30
25
26
25
30
20
25
30
29
40
30
30
30
40
37
20
25
30
32
35
32
30
30
35
30
25
30
24
30
35
30
30
30
30
30
25
30
25
35
30
30
30
30
30
30
35
32
30
20
20
30
35
30
40
29
26
40
25
35
30
23
30
27
35
30
20
30
25
50
30
30
29
35
29
25
30
45
30
25
29
25
40
30
30
40
30
30
29
35
35
30
30
27
30
30
29
50
30
30
20
25
25
30
27
29
50
50
30
30
40
20
30
30
30
25
30
30
30
30
40
25
35
30
30
35
20
20
50
35
29
50
40
30
45
30
40
30
29
25
40
35
25
21
30
30
30
30
15
30
30
30
30
30
25
30
30
30
30
25
25
40
30
33
40
26
30
37
25
29
30
25
29
30
30
30
30
30
22
25
30
40
30
29
25
30
30
29
30
30
30
35
30
35
30
12
15
25
30
30
30
25
20
30
35
35
29
40
30
40
30
25
30
20
29
28
30
25
30
50
30
30
29
30
35
20
30
30
30
30
30
40
30
30
35
25
30
50
30
30
30
30
25
30
30
30
25
30
30
30
25
30
30
26
30
30
30
30
25
20
30
35
30
20
20
25
30
30
30
30
29
35
25
30
30
35
35
30
20
30
30
30
25
30
30
26
30
25
30
50
30
20
29
30
30
30
30
30
40
30
35
27
30
25
29
25
30
25
30
29
25
20
30
25
32
30
29
30
30
30
30
25
25
30
30
60
20
30
35
25
30
25
30
40
25
30
29
29
30
29
26
18
30
40
30
30
30
30
30
29
30
30
30
35
30
30
30
20
29
20
30
30
25
30
40
30
30
25
40
30
30
29
25
30
35
30
20
30
20
25
30
40
25
47
20
20
30
30
25
30
25
40
29
40
29
30
30
30
35
30
20
30
24
30
40
30
30
15
35
18
30
25
30
30
30
15
20
30
25
30
20
30
30
30
25
40
50
30
30
35
30
30
15
30
25
30
30
26
30
25
25
30
30
30
50
30
25
30
25
30
26
25
34
30
25
30
35
30
40
30
30
29
30
29
30
50
30
15
30
25
50
30
30
35
35
25
23
30
30
30
35
25
15
30
29
30
15
30
40
29
30
25
25
50
30
1
30
30
30
35
30
30
35
30
20
20
20
30
35
30
25
29
35
40
30
35
29
30
30
30
29
30
30
30
30
30
30
30
35
30
30
30
25
50
30
30
30
25
25
35
30
35
30
29
30
35
30
30
35
25
25
29
35
50
30
30
29
30
30
30
20
30
30
20
30
25
20
30
50
20
40
40
30
29
35
25
20
20
21
29
35
30
28
30
30
35
26
30
25
25
30
30
30
25
35
30
35
35
30
29
30
26
30
27
30
30
50
25
30
30
30
40
30
32
25
35
30
30
20
30
40
30
26
30
40
30
30
26
35
35
26
50
30
30
25
30
40
25
30
25
30
15
40
30
25
30
30
30
30
30
25
25
30
20
18
25
30
29
13
27
30
30
30
30
25
30
35
29
30
29
30
30
25
45
29
30
30
25
25
29
30
30
30
29
30
23
35
35
10
32
29
45
30
29
30
15
50
35
25
25
30
30
30
30
30
40
29
25
30
25
30
25
25
30
35
30
25
20
30
30
30
15
30
35
50
35
30
30
25
30
30
15
30
25
30
30
25
29
30
30
40
25
30
30
25
35
29
30
25
30
30
25
30
30
30
25
35
25
29
25
30
30
50
30
30

30
30
30
20
25
25
35
25
30
25
50
20
45
25
35
30
40
35
30
30
30
30
23
30
25
30
15
20
25
15
15
25
25
25
21
30
25
20
40
13
30
25
20
25
20
25
20
20
15
15
12
20
5
20
15
25
22
20
22
25
20
20
35
30
25
20
20
20
25
25
15
20
35
25
25
30
23
10
22
25
25
22
30
20
25
25
22
25
25
25
22
25
12
18
20
20
22
30
25
22
20
50
30
25
20
30
22
25
30
22
25
22
22
25
25
25
20
22
15
20
30
20
25
30
35
22
12
30
15
10
30
9
25
20
20
35
25
35
30
12
25
15
25
25
20
20
6
15
40
20
40
25
25
20
15
15
22
24
22
20
25
25
25
35
40
20
22
22
20
25
25
18
25
20
25
30
20
22
35
22
25
25
25
25
22
23
35
15
25
18
22
25
25
28
30
20
25
25
30
22
30
10
10
25
20
22
25
25
15
22
25
25
28
22
30
25
20
25
25
20
30
20
30
50
19
20
28
20
25
35
25
25
15
16
20
20
25
30
20
25
25
25
20
20
25
25
30
22
20
25
25
18
18
20
25
25
30
25
20
25
20
20
20
22
18
22
20
15
25
25
20
25
15
22
25
25
15
12
25
30
22
15
22
25
12
18
30
25
25
40
24
25
15
25
20
25
25
25
20
30
20
25
30
22
25
25
25
50
19
50
25
35
20
20
20
20
20
25
25
25
20
20
20
20
25
18
25
22
22
30
30
8
20
25
30
50
22
20
10
25
25
25
25
18
25
20
25
30
18
20
25
22
22
20
20
25
20
20
20
20
25
20
10
20
25
30
25
50
30
30
50
15
25
25
22
20
22
30
25
18
22
22
30
40
25
20
10
20
9
15
20
15
20
30
12
15
12
20
15
12
25
20
25
25
25
30
20
25
15
15
22
10
15
10
20
25
20
20
38
20
20
20
40
25
25
30
25
10
20
25
12
15
25
20
22
22
20
25
25
25
15
40
20
20
16
25
15
20
25
20
30
50
20
25
20
30
30
25
25
12
25
25
25
20
20
20
15
20
25
15
25
50
30
20
20
25
12
15
20
20
35
22
15
18
30
22
12
12
20
20
15
25
15
20
20
25
18
30
20
25
25
25
20
20
25
20
22
15
15
22
20
10
25
20
20
15
12
20
5
20
15
15
25
25
25
15
25
22
25
20
18
22
25
35
25
25
25
35
30
22
30
50
15
25
24
20
25
25
25
12
15
22
25
25
25
25
15
20
20
15
35
30
20
22
65
20
25
22
20
25
25
20
25
15
20
12
15
10
25
15
30
35
25
25
25
25
25
40
40
25
25
20
25
25
22
25
30
25
25
30
25
25
30
25
25
20
22
22
20
25
22
25
22
40
25
25
25
22
20
35
20
35
25
22
25
25
25
25
25
40
25
30
25
20
25
25
30
22
22
20
15
15
25
25
20
20
15
25
15
20
22
25
15
15
18
5
15
25
18
40
25
25
20
30
20
25
25
25
22
22
25
25
30
25
25
25
25
20
20
25
25
25
25
20
30
25
22
30
20
20
30
25
25
30
20
25
25
24
25
30
18
15
22
22
25
22
22
25
15
20
22
18
35
20
20
20
25
25
30
15
25
22
26
25
20
25
25
25
22
25
25
20
22
30
15
30
25
20
25
25
35
22
20
25
20
20
18
20
22
25
10
20
25
20
20
30
25
20
15
20
25
10
20
25
22
22
25
25
15
25
20
10
25
16
25
35
25
15
25
25
30
25
10
22
20
25
20
20
25
22
18
30
19
25
20
25
20
25
20
22
12
30
12
22
25
25
25
25
30
30
10
22
22
25
20
22
20
25
20
15
25
20
25
20
30
15
40
25
20
22
22
30
20
40
20
25
20
25
20
50
50
25
25
40
30
22
30
20
25
25
30
25
25
20
18
18
28
25
22
15
40
40
12
12
18
12
25
26
18
25
22
15
25
15
15
15
25
15
12
22
20
20
25
20
12
9
15
12
15
25
20
20
15
15
30
21
25
22
22
50
15
25
15
25
22
18
50
20
50
20
20
30
25
20
22
25
50
40
25
25
25
25
30
40
25
30
20




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time34 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 34 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=165959&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]34 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=165959&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165959&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time34 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.







Variability - Ungrouped Data
Absolute range64
Relative range (unbiased)8.61646770421225
Relative range (biased)8.61871479453712
Variance (unbiased)55.1698011806987
Variance (biased)55.1410369465065
Standard Deviation (unbiased)7.42763765814533
Standard Deviation (biased)7.42570110807771
Coefficient of Variation (unbiased)0.277812188539835
Coefficient of Variation (biased)0.277739756733484
Mean Squared Error (MSE versus 0)769.964546402503
Mean Squared Error (MSE versus Mean)55.1410369465065
Mean Absolute Deviation from Mean (MAD Mean)5.57007157916712
Mean Absolute Deviation from Median (MAD Median)5.4859228362878
Median Absolute Deviation from Mean3.26381647549531
Median Absolute Deviation from Median5
Mean Squared Deviation from Mean55.1410369465065
Mean Squared Deviation from Median58.155370177268
Interquartile Difference (Weighted Average at Xnp)8
Interquartile Difference (Weighted Average at X(n+1)p)8
Interquartile Difference (Empirical Distribution Function)8
Interquartile Difference (Empirical Distribution Function - Averaging)8
Interquartile Difference (Empirical Distribution Function - Interpolation)8
Interquartile Difference (Closest Observation)8
Interquartile Difference (True Basic - Statistics Graphics Toolkit)8
Interquartile Difference (MS Excel (old versions))8
Semi Interquartile Difference (Weighted Average at Xnp)4
Semi Interquartile Difference (Weighted Average at X(n+1)p)4
Semi Interquartile Difference (Empirical Distribution Function)4
Semi Interquartile Difference (Empirical Distribution Function - Averaging)4
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)4
Semi Interquartile Difference (Closest Observation)4
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)4
Semi Interquartile Difference (MS Excel (old versions))4
Coefficient of Quartile Variation (Weighted Average at Xnp)0.153846153846154
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.153846153846154
Coefficient of Quartile Variation (Empirical Distribution Function)0.153846153846154
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.153846153846154
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.153846153846154
Coefficient of Quartile Variation (Closest Observation)0.153846153846154
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.153846153846154
Coefficient of Quartile Variation (MS Excel (old versions))0.153846153846154
Number of all Pairs of Observations1838403
Squared Differences between all Pairs of Observations110.339602361397
Mean Absolute Differences between all Pairs of Observations7.8392245878624
Gini Mean Difference7.8392245878624
Leik Measure of Dispersion0.492245993439112
Index of Diversity0.999438404915292
Index of Qualitative Variation0.999959760369082
Coefficient of Dispersion0.222802863166685
Observations1918

\begin{tabular}{lllllllll}
\hline
Variability - Ungrouped Data \tabularnewline
Absolute range & 64 \tabularnewline
Relative range (unbiased) & 8.61646770421225 \tabularnewline
Relative range (biased) & 8.61871479453712 \tabularnewline
Variance (unbiased) & 55.1698011806987 \tabularnewline
Variance (biased) & 55.1410369465065 \tabularnewline
Standard Deviation (unbiased) & 7.42763765814533 \tabularnewline
Standard Deviation (biased) & 7.42570110807771 \tabularnewline
Coefficient of Variation (unbiased) & 0.277812188539835 \tabularnewline
Coefficient of Variation (biased) & 0.277739756733484 \tabularnewline
Mean Squared Error (MSE versus 0) & 769.964546402503 \tabularnewline
Mean Squared Error (MSE versus Mean) & 55.1410369465065 \tabularnewline
Mean Absolute Deviation from Mean (MAD Mean) & 5.57007157916712 \tabularnewline
Mean Absolute Deviation from Median (MAD Median) & 5.4859228362878 \tabularnewline
Median Absolute Deviation from Mean & 3.26381647549531 \tabularnewline
Median Absolute Deviation from Median & 5 \tabularnewline
Mean Squared Deviation from Mean & 55.1410369465065 \tabularnewline
Mean Squared Deviation from Median & 58.155370177268 \tabularnewline
Interquartile Difference (Weighted Average at Xnp) & 8 \tabularnewline
Interquartile Difference (Weighted Average at X(n+1)p) & 8 \tabularnewline
Interquartile Difference (Empirical Distribution Function) & 8 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Averaging) & 8 \tabularnewline
Interquartile Difference (Empirical Distribution Function - Interpolation) & 8 \tabularnewline
Interquartile Difference (Closest Observation) & 8 \tabularnewline
Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 8 \tabularnewline
Interquartile Difference (MS Excel (old versions)) & 8 \tabularnewline
Semi Interquartile Difference (Weighted Average at Xnp) & 4 \tabularnewline
Semi Interquartile Difference (Weighted Average at X(n+1)p) & 4 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function) & 4 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Averaging) & 4 \tabularnewline
Semi Interquartile Difference (Empirical Distribution Function - Interpolation) & 4 \tabularnewline
Semi Interquartile Difference (Closest Observation) & 4 \tabularnewline
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit) & 4 \tabularnewline
Semi Interquartile Difference (MS Excel (old versions)) & 4 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at Xnp) & 0.153846153846154 \tabularnewline
Coefficient of Quartile Variation (Weighted Average at X(n+1)p) & 0.153846153846154 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function) & 0.153846153846154 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging) & 0.153846153846154 \tabularnewline
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation) & 0.153846153846154 \tabularnewline
Coefficient of Quartile Variation (Closest Observation) & 0.153846153846154 \tabularnewline
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit) & 0.153846153846154 \tabularnewline
Coefficient of Quartile Variation (MS Excel (old versions)) & 0.153846153846154 \tabularnewline
Number of all Pairs of Observations & 1838403 \tabularnewline
Squared Differences between all Pairs of Observations & 110.339602361397 \tabularnewline
Mean Absolute Differences between all Pairs of Observations & 7.8392245878624 \tabularnewline
Gini Mean Difference & 7.8392245878624 \tabularnewline
Leik Measure of Dispersion & 0.492245993439112 \tabularnewline
Index of Diversity & 0.999438404915292 \tabularnewline
Index of Qualitative Variation & 0.999959760369082 \tabularnewline
Coefficient of Dispersion & 0.222802863166685 \tabularnewline
Observations & 1918 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165959&T=1

[TABLE]
[ROW][C]Variability - Ungrouped Data[/C][/ROW]
[ROW][C]Absolute range[/C][C]64[/C][/ROW]
[ROW][C]Relative range (unbiased)[/C][C]8.61646770421225[/C][/ROW]
[ROW][C]Relative range (biased)[/C][C]8.61871479453712[/C][/ROW]
[ROW][C]Variance (unbiased)[/C][C]55.1698011806987[/C][/ROW]
[ROW][C]Variance (biased)[/C][C]55.1410369465065[/C][/ROW]
[ROW][C]Standard Deviation (unbiased)[/C][C]7.42763765814533[/C][/ROW]
[ROW][C]Standard Deviation (biased)[/C][C]7.42570110807771[/C][/ROW]
[ROW][C]Coefficient of Variation (unbiased)[/C][C]0.277812188539835[/C][/ROW]
[ROW][C]Coefficient of Variation (biased)[/C][C]0.277739756733484[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus 0)[/C][C]769.964546402503[/C][/ROW]
[ROW][C]Mean Squared Error (MSE versus Mean)[/C][C]55.1410369465065[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Mean (MAD Mean)[/C][C]5.57007157916712[/C][/ROW]
[ROW][C]Mean Absolute Deviation from Median (MAD Median)[/C][C]5.4859228362878[/C][/ROW]
[ROW][C]Median Absolute Deviation from Mean[/C][C]3.26381647549531[/C][/ROW]
[ROW][C]Median Absolute Deviation from Median[/C][C]5[/C][/ROW]
[ROW][C]Mean Squared Deviation from Mean[/C][C]55.1410369465065[/C][/ROW]
[ROW][C]Mean Squared Deviation from Median[/C][C]58.155370177268[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at Xnp)[/C][C]8[/C][/ROW]
[ROW][C]Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]8[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function)[/C][C]8[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]8[/C][/ROW]
[ROW][C]Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]8[/C][/ROW]
[ROW][C]Interquartile Difference (Closest Observation)[/C][C]8[/C][/ROW]
[ROW][C]Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]8[/C][/ROW]
[ROW][C]Interquartile Difference (MS Excel (old versions))[/C][C]8[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at Xnp)[/C][C]4[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Weighted Average at X(n+1)p)[/C][C]4[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function)[/C][C]4[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Averaging)[/C][C]4[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Empirical Distribution Function - Interpolation)[/C][C]4[/C][/ROW]
[ROW][C]Semi Interquartile Difference (Closest Observation)[/C][C]4[/C][/ROW]
[ROW][C]Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)[/C][C]4[/C][/ROW]
[ROW][C]Semi Interquartile Difference (MS Excel (old versions))[/C][C]4[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at Xnp)[/C][C]0.153846153846154[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Weighted Average at X(n+1)p)[/C][C]0.153846153846154[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function)[/C][C]0.153846153846154[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)[/C][C]0.153846153846154[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)[/C][C]0.153846153846154[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (Closest Observation)[/C][C]0.153846153846154[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)[/C][C]0.153846153846154[/C][/ROW]
[ROW][C]Coefficient of Quartile Variation (MS Excel (old versions))[/C][C]0.153846153846154[/C][/ROW]
[ROW][C]Number of all Pairs of Observations[/C][C]1838403[/C][/ROW]
[ROW][C]Squared Differences between all Pairs of Observations[/C][C]110.339602361397[/C][/ROW]
[ROW][C]Mean Absolute Differences between all Pairs of Observations[/C][C]7.8392245878624[/C][/ROW]
[ROW][C]Gini Mean Difference[/C][C]7.8392245878624[/C][/ROW]
[ROW][C]Leik Measure of Dispersion[/C][C]0.492245993439112[/C][/ROW]
[ROW][C]Index of Diversity[/C][C]0.999438404915292[/C][/ROW]
[ROW][C]Index of Qualitative Variation[/C][C]0.999959760369082[/C][/ROW]
[ROW][C]Coefficient of Dispersion[/C][C]0.222802863166685[/C][/ROW]
[ROW][C]Observations[/C][C]1918[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165959&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165959&T=1

As an alternative you can also use a QR Code:  

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

Variability - Ungrouped Data
Absolute range64
Relative range (unbiased)8.61646770421225
Relative range (biased)8.61871479453712
Variance (unbiased)55.1698011806987
Variance (biased)55.1410369465065
Standard Deviation (unbiased)7.42763765814533
Standard Deviation (biased)7.42570110807771
Coefficient of Variation (unbiased)0.277812188539835
Coefficient of Variation (biased)0.277739756733484
Mean Squared Error (MSE versus 0)769.964546402503
Mean Squared Error (MSE versus Mean)55.1410369465065
Mean Absolute Deviation from Mean (MAD Mean)5.57007157916712
Mean Absolute Deviation from Median (MAD Median)5.4859228362878
Median Absolute Deviation from Mean3.26381647549531
Median Absolute Deviation from Median5
Mean Squared Deviation from Mean55.1410369465065
Mean Squared Deviation from Median58.155370177268
Interquartile Difference (Weighted Average at Xnp)8
Interquartile Difference (Weighted Average at X(n+1)p)8
Interquartile Difference (Empirical Distribution Function)8
Interquartile Difference (Empirical Distribution Function - Averaging)8
Interquartile Difference (Empirical Distribution Function - Interpolation)8
Interquartile Difference (Closest Observation)8
Interquartile Difference (True Basic - Statistics Graphics Toolkit)8
Interquartile Difference (MS Excel (old versions))8
Semi Interquartile Difference (Weighted Average at Xnp)4
Semi Interquartile Difference (Weighted Average at X(n+1)p)4
Semi Interquartile Difference (Empirical Distribution Function)4
Semi Interquartile Difference (Empirical Distribution Function - Averaging)4
Semi Interquartile Difference (Empirical Distribution Function - Interpolation)4
Semi Interquartile Difference (Closest Observation)4
Semi Interquartile Difference (True Basic - Statistics Graphics Toolkit)4
Semi Interquartile Difference (MS Excel (old versions))4
Coefficient of Quartile Variation (Weighted Average at Xnp)0.153846153846154
Coefficient of Quartile Variation (Weighted Average at X(n+1)p)0.153846153846154
Coefficient of Quartile Variation (Empirical Distribution Function)0.153846153846154
Coefficient of Quartile Variation (Empirical Distribution Function - Averaging)0.153846153846154
Coefficient of Quartile Variation (Empirical Distribution Function - Interpolation)0.153846153846154
Coefficient of Quartile Variation (Closest Observation)0.153846153846154
Coefficient of Quartile Variation (True Basic - Statistics Graphics Toolkit)0.153846153846154
Coefficient of Quartile Variation (MS Excel (old versions))0.153846153846154
Number of all Pairs of Observations1838403
Squared Differences between all Pairs of Observations110.339602361397
Mean Absolute Differences between all Pairs of Observations7.8392245878624
Gini Mean Difference7.8392245878624
Leik Measure of Dispersion0.492245993439112
Index of Diversity0.999438404915292
Index of Qualitative Variation0.999959760369082
Coefficient of Dispersion0.222802863166685
Observations1918



Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
num <- 50
res <- array(NA,dim=c(num,3))
q1 <- function(data,n,p,i,f) {
np <- n*p;
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q2 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
qvalue <- (1-f)*data[i] + f*data[i+1]
}
q3 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
q4 <- function(data,n,p,i,f) {
np <- n*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- (data[i]+data[i+1])/2
} else {
qvalue <- data[i+1]
}
}
q5 <- function(data,n,p,i,f) {
np <- (n-1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i+1]
} else {
qvalue <- data[i+1] + f*(data[i+2]-data[i+1])
}
}
q6 <- function(data,n,p,i,f) {
np <- n*p+0.5
i <<- floor(np)
f <<- np - i
qvalue <- data[i]
}
q7 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
qvalue <- f*data[i] + (1-f)*data[i+1]
}
}
q8 <- function(data,n,p,i,f) {
np <- (n+1)*p
i <<- floor(np)
f <<- np - i
if (f==0) {
qvalue <- data[i]
} else {
if (f == 0.5) {
qvalue <- (data[i]+data[i+1])/2
} else {
if (f < 0.5) {
qvalue <- data[i]
} else {
qvalue <- data[i+1]
}
}
}
}
iqd <- function(x,def) {
x <-sort(x[!is.na(x)])
n<-length(x)
if (def==1) {
qvalue1 <- q1(x,n,0.25,i,f)
qvalue3 <- q1(x,n,0.75,i,f)
}
if (def==2) {
qvalue1 <- q2(x,n,0.25,i,f)
qvalue3 <- q2(x,n,0.75,i,f)
}
if (def==3) {
qvalue1 <- q3(x,n,0.25,i,f)
qvalue3 <- q3(x,n,0.75,i,f)
}
if (def==4) {
qvalue1 <- q4(x,n,0.25,i,f)
qvalue3 <- q4(x,n,0.75,i,f)
}
if (def==5) {
qvalue1 <- q5(x,n,0.25,i,f)
qvalue3 <- q5(x,n,0.75,i,f)
}
if (def==6) {
qvalue1 <- q6(x,n,0.25,i,f)
qvalue3 <- q6(x,n,0.75,i,f)
}
if (def==7) {
qvalue1 <- q7(x,n,0.25,i,f)
qvalue3 <- q7(x,n,0.75,i,f)
}
if (def==8) {
qvalue1 <- q8(x,n,0.25,i,f)
qvalue3 <- q8(x,n,0.75,i,f)
}
iqdiff <- qvalue3 - qvalue1
return(c(iqdiff,iqdiff/2,iqdiff/(qvalue3 + qvalue1)))
}
range <- max(x) - min(x)
lx <- length(x)
biasf <- (lx-1)/lx
varx <- var(x)
bvarx <- varx*biasf
sdx <- sqrt(varx)
mx <- mean(x)
bsdx <- sqrt(bvarx)
x2 <- x*x
mse0 <- sum(x2)/lx
xmm <- x-mx
xmm2 <- xmm*xmm
msem <- sum(xmm2)/lx
axmm <- abs(x - mx)
medx <- median(x)
axmmed <- abs(x - medx)
xmmed <- x - medx
xmmed2 <- xmmed*xmmed
msemed <- sum(xmmed2)/lx
qarr <- array(NA,dim=c(8,3))
for (j in 1:8) {
qarr[j,] <- iqd(x,j)
}
sdpo <- 0
adpo <- 0
for (i in 1:(lx-1)) {
for (j in (i+1):lx) {
ldi <- x[i]-x[j]
aldi <- abs(ldi)
sdpo = sdpo + ldi * ldi
adpo = adpo + aldi
}
}
denom <- (lx*(lx-1)/2)
sdpo = sdpo / denom
adpo = adpo / denom
gmd <- 0
for (i in 1:lx) {
for (j in 1:lx) {
ldi <- abs(x[i]-x[j])
gmd = gmd + ldi
}
}
gmd <- gmd / (lx*(lx-1))
sumx <- sum(x)
pk <- x / sumx
ck <- cumsum(pk)
dk <- array(NA,dim=lx)
for (i in 1:lx) {
if (ck[i] <= 0.5) dk[i] <- ck[i] else dk[i] <- 1 - ck[i]
}
bigd <- sum(dk) * 2 / (lx-1)
iod <- 1 - sum(pk*pk)
res[1,] <- c('Absolute range','absolute.htm', range)
res[2,] <- c('Relative range (unbiased)','relative.htm', range/sd(x))
res[3,] <- c('Relative range (biased)','relative.htm', range/sqrt(varx*biasf))
res[4,] <- c('Variance (unbiased)','unbiased.htm', varx)
res[5,] <- c('Variance (biased)','biased.htm', bvarx)
res[6,] <- c('Standard Deviation (unbiased)','unbiased1.htm', sdx)
res[7,] <- c('Standard Deviation (biased)','biased1.htm', bsdx)
res[8,] <- c('Coefficient of Variation (unbiased)','variation.htm', sdx/mx)
res[9,] <- c('Coefficient of Variation (biased)','variation.htm', bsdx/mx)
res[10,] <- c('Mean Squared Error (MSE versus 0)','mse.htm', mse0)
res[11,] <- c('Mean Squared Error (MSE versus Mean)','mse.htm', msem)
res[12,] <- c('Mean Absolute Deviation from Mean (MAD Mean)', 'mean2.htm', sum(axmm)/lx)
res[13,] <- c('Mean Absolute Deviation from Median (MAD Median)', 'median1.htm', sum(axmmed)/lx)
res[14,] <- c('Median Absolute Deviation from Mean', 'mean3.htm', median(axmm))
res[15,] <- c('Median Absolute Deviation from Median', 'median2.htm', median(axmmed))
res[16,] <- c('Mean Squared Deviation from Mean', 'mean1.htm', msem)
res[17,] <- c('Mean Squared Deviation from Median', 'median.htm', msemed)
load(file='createtable')
mylink1 <- hyperlink('difference.htm','Interquartile Difference','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[18,] <- c('', mylink2, qarr[1,1])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[19,] <- c('', mylink2, qarr[2,1])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[20,] <- c('', mylink2, qarr[3,1])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[21,] <- c('', mylink2, qarr[4,1])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[22,] <- c('', mylink2, qarr[5,1])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[23,] <- c('', mylink2, qarr[6,1])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[24,] <- c('', mylink2, qarr[7,1])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[25,] <- c('', mylink2, qarr[8,1])
mylink1 <- hyperlink('deviation.htm','Semi Interquartile Difference','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[26,] <- c('', mylink2, qarr[1,2])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[27,] <- c('', mylink2, qarr[2,2])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[28,] <- c('', mylink2, qarr[3,2])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[29,] <- c('', mylink2, qarr[4,2])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[30,] <- c('', mylink2, qarr[5,2])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[31,] <- c('', mylink2, qarr[6,2])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[32,] <- c('', mylink2, qarr[7,2])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[33,] <- c('', mylink2, qarr[8,2])
mylink1 <- hyperlink('variation1.htm','Coefficient of Quartile Variation','')
mylink2 <- paste(mylink1,hyperlink('method_1.htm','(Weighted Average at Xnp)',''),sep=' ')
res[34,] <- c('', mylink2, qarr[1,3])
mylink2 <- paste(mylink1,hyperlink('method_2.htm','(Weighted Average at X(n+1)p)',''),sep=' ')
res[35,] <- c('', mylink2, qarr[2,3])
mylink2 <- paste(mylink1,hyperlink('method_3.htm','(Empirical Distribution Function)',''),sep=' ')
res[36,] <- c('', mylink2, qarr[3,3])
mylink2 <- paste(mylink1,hyperlink('method_4.htm','(Empirical Distribution Function - Averaging)',''),sep=' ')
res[37,] <- c('', mylink2, qarr[4,3])
mylink2 <- paste(mylink1,hyperlink('method_5.htm','(Empirical Distribution Function - Interpolation)',''),sep=' ')
res[38,] <- c('', mylink2, qarr[5,3])
mylink2 <- paste(mylink1,hyperlink('method_6.htm','(Closest Observation)',''),sep=' ')
res[39,] <- c('', mylink2, qarr[6,3])
mylink2 <- paste(mylink1,hyperlink('method_7.htm','(True Basic - Statistics Graphics Toolkit)',''),sep=' ')
res[40,] <- c('', mylink2, qarr[7,3])
mylink2 <- paste(mylink1,hyperlink('method_8.htm','(MS Excel (old versions))',''),sep=' ')
res[41,] <- c('', mylink2, qarr[8,3])
res[42,] <- c('Number of all Pairs of Observations', 'pair_numbers.htm', lx*(lx-1)/2)
res[43,] <- c('Squared Differences between all Pairs of Observations', 'squared_differences.htm', sdpo)
res[44,] <- c('Mean Absolute Differences between all Pairs of Observations', 'mean_abs_differences.htm', adpo)
res[45,] <- c('Gini Mean Difference', 'gini_mean_difference.htm', gmd)
res[46,] <- c('Leik Measure of Dispersion', 'leiks_d.htm', bigd)
res[47,] <- c('Index of Diversity', 'diversity.htm', iod)
res[48,] <- c('Index of Qualitative Variation', 'qualitative_variation.htm', iod*lx/(lx-1))
res[49,] <- c('Coefficient of Dispersion', 'dispersion.htm', sum(axmm)/lx/medx)
res[50,] <- c('Observations', '', lx)
res
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variability - Ungrouped Data',2,TRUE)
a<-table.row.end(a)
for (i in 1:num) {
a<-table.row.start(a)
if (res[i,1] != '') {
a<-table.element(a,hyperlink(res[i,2],res[i,1],''),header=TRUE)
} else {
a<-table.element(a,res[i,2],header=TRUE)
}
a<-table.element(a,res[i,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')