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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationSun, 14 Dec 2014 11:37:11 +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/2014/Dec/14/t141855735558wq0zpouuxf3tl.htm/, Retrieved Sun, 19 May 2024 16:31:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267463, Retrieved Sun, 19 May 2024 16:31:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 11:37:11] [6e98989d1e11d52934121e5a163a7817] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7.5	21
2.5	26
6.0	22
6.5	22
1.0	18
1.0	23
5.5	12
8.5	20
6.5	22
4.5	21
2.0	19
5.0	22
0.5	15
5.0	20
5.0	19
2.5	18
5.0	15
5.5	20
3.5	21
3.0	21
4.0	15
0.5	16
6.5	23
4.5	21
7.5	18
5.5	25
4.0	9
7.5	30
7.0	20
4.0	23
5.5	16
2.5	16
5.5	19
0.5	25
3.5	25
2.5	18
4.5	23
4.5	21
4.5	10
6.0	14
2.5	22
5.0	26
0.0	23
5.0	23
6.5	24
5.0	24
6.0	18
4.5	23
5.5	15
1.0	19
7.5	16
6.0	25
5.0	23
1.0	17
5.0	19
6.5	21
7.0	18
4.5	27
0.0	21
8.5	13
3.5	8
7.5	29
3.5	28
6.0	23
1.5	21
9.0	19
3.5	19
3.5	20
4.0	18
6.5	19
7.5	17
6.0	19
5.0	25
5.5	19
3.5	22
7.5	23
1.0	26
6.5	14
NA	28
6.5	16
6.5	24
7.0	20
3.5	12
1.5	24
4.0	22
7.5	12
4.5	22
0.0	20
3.5	10
5.5	23
5.0	17
4.5	22
2.5	24
7.5	18
7.0	21
0.0	20
4.5	20
3.0	22
1.5	19
3.5	20
2.5	26
5.5	23
8.0	24
1.0	21
5.0	21
4.5	19
3.0	8
3.0	17
8.0	20
2.5	11
7.0	8
0.0	15
1.0	18
3.5	18
5.5	19
5.5	19
0.5	23
7.5	22
9	21
9.5	25
8.5	30
7	17
8	27
10	23
7	23
8.5	18
9	18
9.5	23
4	19
6	15
8	20
5.5	16
9.5	24
7.5	25
7	25
7.5	19
8	19
7	16
7	19
6	19
10	23
2.5	21
9	22
8	19
6	20
8.5	20
6	3
9	23
8	14
8	23
9	20
5.5	15
5	13
7	16
5.5	7
9	24
2	17
8.5	24
9	24
8.5	19
9	25
7.5	20
10	28
9	23
7.5	27
6	18
10.5	28
8.5	21
8	19
10	23
10.5	27
6.5	22
9.5	28
8.5	25
7.5	21
5	22
8	28
10	20
7	29
7.5	25
7.5	25
9.5	20
6	20
10	16
7	20
3	20
6	23
7	18
10	25
7	18
3.5	19
8	25
10	25
5.5	25
6	24
6.5	19
6.5	26
8.5	10
4	17
9.5	13
8	17
8.5	30
5.5	25
7	4
9	16
8	21
10	23
8	22
6	17
8	20
5	20
9	22
4.5	16
8.5	23
7	16
9.5	0
8.5	18
7.5	25
7.5	23
5	12
7	18
8	24
5.5	11
8.5	18
7.5	14
9.5	23
7	24
8	29
8.5	18
3.5	15
6.5	29
6.5	16
10.5	19
8.5	22
8	16
10	23
10	23
9.5	19
9	4
10	20
7.5	24
4.5	20
4.5	4
0.5	24
6.5	22
4.5	16
5.5	3
5	15
6	24
4	17
8	20
10.5	27
8.5	23
6.5	26
8	23
8.5	17
5.5	20
7	22
5	19
3.5	24
5	19
9	23
8.5	15
5	27
9.5	26
3	22
1.5	22
6	18
0.5	15
6.5	22
7.5	27
4.5	10
8	20
9	17
7.5	23
8.5	19
7	13
9.5	27
6.5	23
9.5	16
6	25
8	2
9.5	26
8	20
8	23
9	22
5	24

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267463&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267463&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267463&T=0

As an alternative you can also use a QR Code:  
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 time4 seconds
R Server'George Udny Yule' @ yule.wessa.net






Tabulation of Results
EX x NUM
0234789101112131415161718192021222324252627282930
00000000000001000021010000000
0.50000000000002100000011100000
10000000000000012101010010000
1.50000000000000000101101000000
20000000000000010100000000000
2.50000000010000102001101020000
30000010000000010011200000000
3.50000010101001001221101100100
40000001000001021100110000000
4.50001000200000200123220001000
50000000001102010421222111000
5.50010100011002200420020300000
60010000000011013220122200000
6.50000000000010200201522020010
70001010000100314131111100010
7.50000000001010112112131402011
80100000000010110361132101110
8.50000000100101014221121100002
90001000000000111111332100000
9.51000000000100100110021121100
100000000000000100020060200100
10.50000000000000000100000002100

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
EX  x  NUM \tabularnewline
  & 0 & 2 & 3 & 4 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \tabularnewline
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 2 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
0.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
1.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
2.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 2 & 0 & 0 & 0 & 0 \tabularnewline
3 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
3.5 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 2 & 2 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 \tabularnewline
4 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
4.5 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 0 & 1 & 2 & 3 & 2 & 2 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 0 & 4 & 2 & 1 & 2 & 2 & 2 & 1 & 1 & 1 & 0 & 0 & 0 \tabularnewline
5.5 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 2 & 2 & 0 & 0 & 4 & 2 & 0 & 0 & 2 & 0 & 3 & 0 & 0 & 0 & 0 & 0 \tabularnewline
6 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 3 & 2 & 2 & 0 & 1 & 2 & 2 & 2 & 0 & 0 & 0 & 0 & 0 \tabularnewline
6.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 0 & 0 & 2 & 0 & 1 & 5 & 2 & 2 & 0 & 2 & 0 & 0 & 1 & 0 \tabularnewline
7 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 1 & 4 & 1 & 3 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \tabularnewline
7.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 3 & 1 & 4 & 0 & 2 & 0 & 1 & 1 \tabularnewline
8 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 3 & 6 & 1 & 1 & 3 & 2 & 1 & 0 & 1 & 1 & 1 & 0 \tabularnewline
8.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 4 & 2 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0 & 0 & 0 & 2 \tabularnewline
9 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 1 & 3 & 3 & 2 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
9.5 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 2 & 1 & 1 & 2 & 1 & 1 & 0 & 0 \tabularnewline
10 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 0 & 0 & 6 & 0 & 2 & 0 & 0 & 1 & 0 & 0 \tabularnewline
10.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 1 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267463&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]EX  x  NUM[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]2[/C][C]3[/C][C]4[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][C]26[/C][C]27[/C][C]28[/C][C]29[/C][C]30[/C][/ROW]
[C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]0.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]1.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]2.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]3.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]4[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]4.5[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]2[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]4[/C][C]2[/C][C]1[/C][C]2[/C][C]2[/C][C]2[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]5.5[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]2[/C][C]0[/C][C]0[/C][C]4[/C][C]2[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]6[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]3[/C][C]2[/C][C]2[/C][C]0[/C][C]1[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]6.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]5[/C][C]2[/C][C]2[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]7[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]3[/C][C]1[/C][C]4[/C][C]1[/C][C]3[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]7.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]3[/C][C]1[/C][C]4[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[C]8[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]3[/C][C]6[/C][C]1[/C][C]1[/C][C]3[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[C]8.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]4[/C][C]2[/C][C]2[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][/ROW]
[C]9[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]3[/C][C]3[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]9.5[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]10[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]6[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]10.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267463&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267463&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:

Tabulation of Results
EX x NUM
0234789101112131415161718192021222324252627282930
00000000000001000021010000000
0.50000000000002100000011100000
10000000000000012101010010000
1.50000000000000000101101000000
20000000000000010100000000000
2.50000000010000102001101020000
30000010000000010011200000000
3.50000010101001001221101100100
40000001000001021100110000000
4.50001000200000200123220001000
50000000001102010421222111000
5.50010100011002200420020300000
60010000000011013220122200000
6.50000000000010200201522020010
70001010000100314131111100010
7.50000000001010112112131402011
80100000000010110361132101110
8.50000000100101014221121100002
90001000000000111111332100000
9.51000000000100100110021121100
100000000000000100020060200100
10.50000000000000000100000002100






Tabulation of Expected Results
EX x NUM
0234789101112131415161718192021222324252627282930
00.020.020.030.050.020.050.020.070.030.070.070.070.190.280.210.350.510.510.30.40.590.310.330.140.140.090.070.05
0.50.020.020.040.060.020.060.020.080.040.080.080.080.230.340.250.420.610.610.360.480.710.380.40.170.170.10.080.06
10.020.020.050.070.020.070.020.10.050.10.10.10.270.390.290.490.710.710.420.560.830.440.470.20.20.120.10.07
1.50.010.010.030.040.010.040.010.060.030.060.060.060.150.220.170.280.410.410.240.320.480.250.270.110.110.070.060.04
20.010.010.010.020.010.020.010.030.010.030.030.030.080.110.080.140.20.20.120.160.240.130.130.060.060.030.030.02
2.50.030.030.060.090.030.090.030.130.060.130.130.130.350.50.380.630.910.910.530.721.070.570.60.250.250.160.130.09
30.020.020.040.060.020.060.020.080.040.080.080.080.230.340.250.420.610.610.360.480.710.380.40.170.170.10.080.06
3.50.050.050.10.150.050.150.050.20.10.20.20.20.540.780.590.981.421.420.831.131.660.880.930.390.390.240.20.15
40.030.030.060.080.030.080.030.110.060.110.110.110.310.450.340.560.810.810.480.640.950.50.530.220.220.140.110.08
4.50.060.060.110.170.060.170.060.220.110.220.220.220.620.90.671.121.621.620.951.291.91.011.060.450.450.280.220.17
50.070.070.150.220.070.220.070.290.150.290.290.290.811.170.881.472.132.131.251.692.51.321.40.590.590.370.290.22
5.50.070.070.130.20.070.20.070.270.130.270.270.270.731.060.81.331.931.931.131.532.261.21.260.530.530.330.270.2
60.060.060.130.190.060.190.060.250.130.250.250.250.691.010.761.261.831.831.071.452.141.131.20.50.50.310.250.19
6.50.060.060.130.190.060.190.060.250.130.250.250.250.691.010.761.261.831.831.071.452.141.131.20.50.50.310.250.19
70.070.070.150.220.070.220.070.290.150.290.290.290.811.170.881.472.132.131.251.692.51.321.40.590.590.370.290.22
7.50.080.080.160.240.080.240.080.320.160.320.320.320.881.290.971.612.332.331.371.852.731.451.530.640.640.40.320.24
80.080.080.170.250.080.250.080.340.170.340.340.340.921.341.011.682.432.431.431.932.851.511.590.670.670.420.340.25
8.50.070.070.140.210.070.210.070.280.140.280.280.280.771.120.841.42.032.031.191.612.381.261.330.560.560.350.280.21
90.060.060.110.170.060.170.060.220.110.220.220.220.620.90.671.121.621.620.951.291.91.011.060.450.450.280.220.17
9.50.050.050.090.140.050.140.050.180.090.180.180.180.50.730.550.911.321.320.771.051.550.820.860.360.360.230.180.14
100.040.040.080.130.040.130.040.170.080.170.170.170.460.670.50.841.221.220.710.971.430.760.80.340.340.210.170.13
10.50.010.010.030.040.010.040.010.060.030.060.060.060.150.220.170.280.410.410.240.320.480.250.270.110.110.070.060.04

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
EX  x  NUM \tabularnewline
  & 0 & 2 & 3 & 4 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \tabularnewline
0 & 0.02 & 0.02 & 0.03 & 0.05 & 0.02 & 0.05 & 0.02 & 0.07 & 0.03 & 0.07 & 0.07 & 0.07 & 0.19 & 0.28 & 0.21 & 0.35 & 0.51 & 0.51 & 0.3 & 0.4 & 0.59 & 0.31 & 0.33 & 0.14 & 0.14 & 0.09 & 0.07 & 0.05 \tabularnewline
0.5 & 0.02 & 0.02 & 0.04 & 0.06 & 0.02 & 0.06 & 0.02 & 0.08 & 0.04 & 0.08 & 0.08 & 0.08 & 0.23 & 0.34 & 0.25 & 0.42 & 0.61 & 0.61 & 0.36 & 0.48 & 0.71 & 0.38 & 0.4 & 0.17 & 0.17 & 0.1 & 0.08 & 0.06 \tabularnewline
1 & 0.02 & 0.02 & 0.05 & 0.07 & 0.02 & 0.07 & 0.02 & 0.1 & 0.05 & 0.1 & 0.1 & 0.1 & 0.27 & 0.39 & 0.29 & 0.49 & 0.71 & 0.71 & 0.42 & 0.56 & 0.83 & 0.44 & 0.47 & 0.2 & 0.2 & 0.12 & 0.1 & 0.07 \tabularnewline
1.5 & 0.01 & 0.01 & 0.03 & 0.04 & 0.01 & 0.04 & 0.01 & 0.06 & 0.03 & 0.06 & 0.06 & 0.06 & 0.15 & 0.22 & 0.17 & 0.28 & 0.41 & 0.41 & 0.24 & 0.32 & 0.48 & 0.25 & 0.27 & 0.11 & 0.11 & 0.07 & 0.06 & 0.04 \tabularnewline
2 & 0.01 & 0.01 & 0.01 & 0.02 & 0.01 & 0.02 & 0.01 & 0.03 & 0.01 & 0.03 & 0.03 & 0.03 & 0.08 & 0.11 & 0.08 & 0.14 & 0.2 & 0.2 & 0.12 & 0.16 & 0.24 & 0.13 & 0.13 & 0.06 & 0.06 & 0.03 & 0.03 & 0.02 \tabularnewline
2.5 & 0.03 & 0.03 & 0.06 & 0.09 & 0.03 & 0.09 & 0.03 & 0.13 & 0.06 & 0.13 & 0.13 & 0.13 & 0.35 & 0.5 & 0.38 & 0.63 & 0.91 & 0.91 & 0.53 & 0.72 & 1.07 & 0.57 & 0.6 & 0.25 & 0.25 & 0.16 & 0.13 & 0.09 \tabularnewline
3 & 0.02 & 0.02 & 0.04 & 0.06 & 0.02 & 0.06 & 0.02 & 0.08 & 0.04 & 0.08 & 0.08 & 0.08 & 0.23 & 0.34 & 0.25 & 0.42 & 0.61 & 0.61 & 0.36 & 0.48 & 0.71 & 0.38 & 0.4 & 0.17 & 0.17 & 0.1 & 0.08 & 0.06 \tabularnewline
3.5 & 0.05 & 0.05 & 0.1 & 0.15 & 0.05 & 0.15 & 0.05 & 0.2 & 0.1 & 0.2 & 0.2 & 0.2 & 0.54 & 0.78 & 0.59 & 0.98 & 1.42 & 1.42 & 0.83 & 1.13 & 1.66 & 0.88 & 0.93 & 0.39 & 0.39 & 0.24 & 0.2 & 0.15 \tabularnewline
4 & 0.03 & 0.03 & 0.06 & 0.08 & 0.03 & 0.08 & 0.03 & 0.11 & 0.06 & 0.11 & 0.11 & 0.11 & 0.31 & 0.45 & 0.34 & 0.56 & 0.81 & 0.81 & 0.48 & 0.64 & 0.95 & 0.5 & 0.53 & 0.22 & 0.22 & 0.14 & 0.11 & 0.08 \tabularnewline
4.5 & 0.06 & 0.06 & 0.11 & 0.17 & 0.06 & 0.17 & 0.06 & 0.22 & 0.11 & 0.22 & 0.22 & 0.22 & 0.62 & 0.9 & 0.67 & 1.12 & 1.62 & 1.62 & 0.95 & 1.29 & 1.9 & 1.01 & 1.06 & 0.45 & 0.45 & 0.28 & 0.22 & 0.17 \tabularnewline
5 & 0.07 & 0.07 & 0.15 & 0.22 & 0.07 & 0.22 & 0.07 & 0.29 & 0.15 & 0.29 & 0.29 & 0.29 & 0.81 & 1.17 & 0.88 & 1.47 & 2.13 & 2.13 & 1.25 & 1.69 & 2.5 & 1.32 & 1.4 & 0.59 & 0.59 & 0.37 & 0.29 & 0.22 \tabularnewline
5.5 & 0.07 & 0.07 & 0.13 & 0.2 & 0.07 & 0.2 & 0.07 & 0.27 & 0.13 & 0.27 & 0.27 & 0.27 & 0.73 & 1.06 & 0.8 & 1.33 & 1.93 & 1.93 & 1.13 & 1.53 & 2.26 & 1.2 & 1.26 & 0.53 & 0.53 & 0.33 & 0.27 & 0.2 \tabularnewline
6 & 0.06 & 0.06 & 0.13 & 0.19 & 0.06 & 0.19 & 0.06 & 0.25 & 0.13 & 0.25 & 0.25 & 0.25 & 0.69 & 1.01 & 0.76 & 1.26 & 1.83 & 1.83 & 1.07 & 1.45 & 2.14 & 1.13 & 1.2 & 0.5 & 0.5 & 0.31 & 0.25 & 0.19 \tabularnewline
6.5 & 0.06 & 0.06 & 0.13 & 0.19 & 0.06 & 0.19 & 0.06 & 0.25 & 0.13 & 0.25 & 0.25 & 0.25 & 0.69 & 1.01 & 0.76 & 1.26 & 1.83 & 1.83 & 1.07 & 1.45 & 2.14 & 1.13 & 1.2 & 0.5 & 0.5 & 0.31 & 0.25 & 0.19 \tabularnewline
7 & 0.07 & 0.07 & 0.15 & 0.22 & 0.07 & 0.22 & 0.07 & 0.29 & 0.15 & 0.29 & 0.29 & 0.29 & 0.81 & 1.17 & 0.88 & 1.47 & 2.13 & 2.13 & 1.25 & 1.69 & 2.5 & 1.32 & 1.4 & 0.59 & 0.59 & 0.37 & 0.29 & 0.22 \tabularnewline
7.5 & 0.08 & 0.08 & 0.16 & 0.24 & 0.08 & 0.24 & 0.08 & 0.32 & 0.16 & 0.32 & 0.32 & 0.32 & 0.88 & 1.29 & 0.97 & 1.61 & 2.33 & 2.33 & 1.37 & 1.85 & 2.73 & 1.45 & 1.53 & 0.64 & 0.64 & 0.4 & 0.32 & 0.24 \tabularnewline
8 & 0.08 & 0.08 & 0.17 & 0.25 & 0.08 & 0.25 & 0.08 & 0.34 & 0.17 & 0.34 & 0.34 & 0.34 & 0.92 & 1.34 & 1.01 & 1.68 & 2.43 & 2.43 & 1.43 & 1.93 & 2.85 & 1.51 & 1.59 & 0.67 & 0.67 & 0.42 & 0.34 & 0.25 \tabularnewline
8.5 & 0.07 & 0.07 & 0.14 & 0.21 & 0.07 & 0.21 & 0.07 & 0.28 & 0.14 & 0.28 & 0.28 & 0.28 & 0.77 & 1.12 & 0.84 & 1.4 & 2.03 & 2.03 & 1.19 & 1.61 & 2.38 & 1.26 & 1.33 & 0.56 & 0.56 & 0.35 & 0.28 & 0.21 \tabularnewline
9 & 0.06 & 0.06 & 0.11 & 0.17 & 0.06 & 0.17 & 0.06 & 0.22 & 0.11 & 0.22 & 0.22 & 0.22 & 0.62 & 0.9 & 0.67 & 1.12 & 1.62 & 1.62 & 0.95 & 1.29 & 1.9 & 1.01 & 1.06 & 0.45 & 0.45 & 0.28 & 0.22 & 0.17 \tabularnewline
9.5 & 0.05 & 0.05 & 0.09 & 0.14 & 0.05 & 0.14 & 0.05 & 0.18 & 0.09 & 0.18 & 0.18 & 0.18 & 0.5 & 0.73 & 0.55 & 0.91 & 1.32 & 1.32 & 0.77 & 1.05 & 1.55 & 0.82 & 0.86 & 0.36 & 0.36 & 0.23 & 0.18 & 0.14 \tabularnewline
10 & 0.04 & 0.04 & 0.08 & 0.13 & 0.04 & 0.13 & 0.04 & 0.17 & 0.08 & 0.17 & 0.17 & 0.17 & 0.46 & 0.67 & 0.5 & 0.84 & 1.22 & 1.22 & 0.71 & 0.97 & 1.43 & 0.76 & 0.8 & 0.34 & 0.34 & 0.21 & 0.17 & 0.13 \tabularnewline
10.5 & 0.01 & 0.01 & 0.03 & 0.04 & 0.01 & 0.04 & 0.01 & 0.06 & 0.03 & 0.06 & 0.06 & 0.06 & 0.15 & 0.22 & 0.17 & 0.28 & 0.41 & 0.41 & 0.24 & 0.32 & 0.48 & 0.25 & 0.27 & 0.11 & 0.11 & 0.07 & 0.06 & 0.04 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267463&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]EX  x  NUM[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]2[/C][C]3[/C][C]4[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][C]26[/C][C]27[/C][C]28[/C][C]29[/C][C]30[/C][/ROW]
[C]0[/C][C]0.02[/C][C]0.02[/C][C]0.03[/C][C]0.05[/C][C]0.02[/C][C]0.05[/C][C]0.02[/C][C]0.07[/C][C]0.03[/C][C]0.07[/C][C]0.07[/C][C]0.07[/C][C]0.19[/C][C]0.28[/C][C]0.21[/C][C]0.35[/C][C]0.51[/C][C]0.51[/C][C]0.3[/C][C]0.4[/C][C]0.59[/C][C]0.31[/C][C]0.33[/C][C]0.14[/C][C]0.14[/C][C]0.09[/C][C]0.07[/C][C]0.05[/C][/ROW]
[C]0.5[/C][C]0.02[/C][C]0.02[/C][C]0.04[/C][C]0.06[/C][C]0.02[/C][C]0.06[/C][C]0.02[/C][C]0.08[/C][C]0.04[/C][C]0.08[/C][C]0.08[/C][C]0.08[/C][C]0.23[/C][C]0.34[/C][C]0.25[/C][C]0.42[/C][C]0.61[/C][C]0.61[/C][C]0.36[/C][C]0.48[/C][C]0.71[/C][C]0.38[/C][C]0.4[/C][C]0.17[/C][C]0.17[/C][C]0.1[/C][C]0.08[/C][C]0.06[/C][/ROW]
[C]1[/C][C]0.02[/C][C]0.02[/C][C]0.05[/C][C]0.07[/C][C]0.02[/C][C]0.07[/C][C]0.02[/C][C]0.1[/C][C]0.05[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.27[/C][C]0.39[/C][C]0.29[/C][C]0.49[/C][C]0.71[/C][C]0.71[/C][C]0.42[/C][C]0.56[/C][C]0.83[/C][C]0.44[/C][C]0.47[/C][C]0.2[/C][C]0.2[/C][C]0.12[/C][C]0.1[/C][C]0.07[/C][/ROW]
[C]1.5[/C][C]0.01[/C][C]0.01[/C][C]0.03[/C][C]0.04[/C][C]0.01[/C][C]0.04[/C][C]0.01[/C][C]0.06[/C][C]0.03[/C][C]0.06[/C][C]0.06[/C][C]0.06[/C][C]0.15[/C][C]0.22[/C][C]0.17[/C][C]0.28[/C][C]0.41[/C][C]0.41[/C][C]0.24[/C][C]0.32[/C][C]0.48[/C][C]0.25[/C][C]0.27[/C][C]0.11[/C][C]0.11[/C][C]0.07[/C][C]0.06[/C][C]0.04[/C][/ROW]
[C]2[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.02[/C][C]0.01[/C][C]0.02[/C][C]0.01[/C][C]0.03[/C][C]0.01[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.08[/C][C]0.11[/C][C]0.08[/C][C]0.14[/C][C]0.2[/C][C]0.2[/C][C]0.12[/C][C]0.16[/C][C]0.24[/C][C]0.13[/C][C]0.13[/C][C]0.06[/C][C]0.06[/C][C]0.03[/C][C]0.03[/C][C]0.02[/C][/ROW]
[C]2.5[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.09[/C][C]0.03[/C][C]0.09[/C][C]0.03[/C][C]0.13[/C][C]0.06[/C][C]0.13[/C][C]0.13[/C][C]0.13[/C][C]0.35[/C][C]0.5[/C][C]0.38[/C][C]0.63[/C][C]0.91[/C][C]0.91[/C][C]0.53[/C][C]0.72[/C][C]1.07[/C][C]0.57[/C][C]0.6[/C][C]0.25[/C][C]0.25[/C][C]0.16[/C][C]0.13[/C][C]0.09[/C][/ROW]
[C]3[/C][C]0.02[/C][C]0.02[/C][C]0.04[/C][C]0.06[/C][C]0.02[/C][C]0.06[/C][C]0.02[/C][C]0.08[/C][C]0.04[/C][C]0.08[/C][C]0.08[/C][C]0.08[/C][C]0.23[/C][C]0.34[/C][C]0.25[/C][C]0.42[/C][C]0.61[/C][C]0.61[/C][C]0.36[/C][C]0.48[/C][C]0.71[/C][C]0.38[/C][C]0.4[/C][C]0.17[/C][C]0.17[/C][C]0.1[/C][C]0.08[/C][C]0.06[/C][/ROW]
[C]3.5[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.15[/C][C]0.05[/C][C]0.15[/C][C]0.05[/C][C]0.2[/C][C]0.1[/C][C]0.2[/C][C]0.2[/C][C]0.2[/C][C]0.54[/C][C]0.78[/C][C]0.59[/C][C]0.98[/C][C]1.42[/C][C]1.42[/C][C]0.83[/C][C]1.13[/C][C]1.66[/C][C]0.88[/C][C]0.93[/C][C]0.39[/C][C]0.39[/C][C]0.24[/C][C]0.2[/C][C]0.15[/C][/ROW]
[C]4[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.08[/C][C]0.03[/C][C]0.08[/C][C]0.03[/C][C]0.11[/C][C]0.06[/C][C]0.11[/C][C]0.11[/C][C]0.11[/C][C]0.31[/C][C]0.45[/C][C]0.34[/C][C]0.56[/C][C]0.81[/C][C]0.81[/C][C]0.48[/C][C]0.64[/C][C]0.95[/C][C]0.5[/C][C]0.53[/C][C]0.22[/C][C]0.22[/C][C]0.14[/C][C]0.11[/C][C]0.08[/C][/ROW]
[C]4.5[/C][C]0.06[/C][C]0.06[/C][C]0.11[/C][C]0.17[/C][C]0.06[/C][C]0.17[/C][C]0.06[/C][C]0.22[/C][C]0.11[/C][C]0.22[/C][C]0.22[/C][C]0.22[/C][C]0.62[/C][C]0.9[/C][C]0.67[/C][C]1.12[/C][C]1.62[/C][C]1.62[/C][C]0.95[/C][C]1.29[/C][C]1.9[/C][C]1.01[/C][C]1.06[/C][C]0.45[/C][C]0.45[/C][C]0.28[/C][C]0.22[/C][C]0.17[/C][/ROW]
[C]5[/C][C]0.07[/C][C]0.07[/C][C]0.15[/C][C]0.22[/C][C]0.07[/C][C]0.22[/C][C]0.07[/C][C]0.29[/C][C]0.15[/C][C]0.29[/C][C]0.29[/C][C]0.29[/C][C]0.81[/C][C]1.17[/C][C]0.88[/C][C]1.47[/C][C]2.13[/C][C]2.13[/C][C]1.25[/C][C]1.69[/C][C]2.5[/C][C]1.32[/C][C]1.4[/C][C]0.59[/C][C]0.59[/C][C]0.37[/C][C]0.29[/C][C]0.22[/C][/ROW]
[C]5.5[/C][C]0.07[/C][C]0.07[/C][C]0.13[/C][C]0.2[/C][C]0.07[/C][C]0.2[/C][C]0.07[/C][C]0.27[/C][C]0.13[/C][C]0.27[/C][C]0.27[/C][C]0.27[/C][C]0.73[/C][C]1.06[/C][C]0.8[/C][C]1.33[/C][C]1.93[/C][C]1.93[/C][C]1.13[/C][C]1.53[/C][C]2.26[/C][C]1.2[/C][C]1.26[/C][C]0.53[/C][C]0.53[/C][C]0.33[/C][C]0.27[/C][C]0.2[/C][/ROW]
[C]6[/C][C]0.06[/C][C]0.06[/C][C]0.13[/C][C]0.19[/C][C]0.06[/C][C]0.19[/C][C]0.06[/C][C]0.25[/C][C]0.13[/C][C]0.25[/C][C]0.25[/C][C]0.25[/C][C]0.69[/C][C]1.01[/C][C]0.76[/C][C]1.26[/C][C]1.83[/C][C]1.83[/C][C]1.07[/C][C]1.45[/C][C]2.14[/C][C]1.13[/C][C]1.2[/C][C]0.5[/C][C]0.5[/C][C]0.31[/C][C]0.25[/C][C]0.19[/C][/ROW]
[C]6.5[/C][C]0.06[/C][C]0.06[/C][C]0.13[/C][C]0.19[/C][C]0.06[/C][C]0.19[/C][C]0.06[/C][C]0.25[/C][C]0.13[/C][C]0.25[/C][C]0.25[/C][C]0.25[/C][C]0.69[/C][C]1.01[/C][C]0.76[/C][C]1.26[/C][C]1.83[/C][C]1.83[/C][C]1.07[/C][C]1.45[/C][C]2.14[/C][C]1.13[/C][C]1.2[/C][C]0.5[/C][C]0.5[/C][C]0.31[/C][C]0.25[/C][C]0.19[/C][/ROW]
[C]7[/C][C]0.07[/C][C]0.07[/C][C]0.15[/C][C]0.22[/C][C]0.07[/C][C]0.22[/C][C]0.07[/C][C]0.29[/C][C]0.15[/C][C]0.29[/C][C]0.29[/C][C]0.29[/C][C]0.81[/C][C]1.17[/C][C]0.88[/C][C]1.47[/C][C]2.13[/C][C]2.13[/C][C]1.25[/C][C]1.69[/C][C]2.5[/C][C]1.32[/C][C]1.4[/C][C]0.59[/C][C]0.59[/C][C]0.37[/C][C]0.29[/C][C]0.22[/C][/ROW]
[C]7.5[/C][C]0.08[/C][C]0.08[/C][C]0.16[/C][C]0.24[/C][C]0.08[/C][C]0.24[/C][C]0.08[/C][C]0.32[/C][C]0.16[/C][C]0.32[/C][C]0.32[/C][C]0.32[/C][C]0.88[/C][C]1.29[/C][C]0.97[/C][C]1.61[/C][C]2.33[/C][C]2.33[/C][C]1.37[/C][C]1.85[/C][C]2.73[/C][C]1.45[/C][C]1.53[/C][C]0.64[/C][C]0.64[/C][C]0.4[/C][C]0.32[/C][C]0.24[/C][/ROW]
[C]8[/C][C]0.08[/C][C]0.08[/C][C]0.17[/C][C]0.25[/C][C]0.08[/C][C]0.25[/C][C]0.08[/C][C]0.34[/C][C]0.17[/C][C]0.34[/C][C]0.34[/C][C]0.34[/C][C]0.92[/C][C]1.34[/C][C]1.01[/C][C]1.68[/C][C]2.43[/C][C]2.43[/C][C]1.43[/C][C]1.93[/C][C]2.85[/C][C]1.51[/C][C]1.59[/C][C]0.67[/C][C]0.67[/C][C]0.42[/C][C]0.34[/C][C]0.25[/C][/ROW]
[C]8.5[/C][C]0.07[/C][C]0.07[/C][C]0.14[/C][C]0.21[/C][C]0.07[/C][C]0.21[/C][C]0.07[/C][C]0.28[/C][C]0.14[/C][C]0.28[/C][C]0.28[/C][C]0.28[/C][C]0.77[/C][C]1.12[/C][C]0.84[/C][C]1.4[/C][C]2.03[/C][C]2.03[/C][C]1.19[/C][C]1.61[/C][C]2.38[/C][C]1.26[/C][C]1.33[/C][C]0.56[/C][C]0.56[/C][C]0.35[/C][C]0.28[/C][C]0.21[/C][/ROW]
[C]9[/C][C]0.06[/C][C]0.06[/C][C]0.11[/C][C]0.17[/C][C]0.06[/C][C]0.17[/C][C]0.06[/C][C]0.22[/C][C]0.11[/C][C]0.22[/C][C]0.22[/C][C]0.22[/C][C]0.62[/C][C]0.9[/C][C]0.67[/C][C]1.12[/C][C]1.62[/C][C]1.62[/C][C]0.95[/C][C]1.29[/C][C]1.9[/C][C]1.01[/C][C]1.06[/C][C]0.45[/C][C]0.45[/C][C]0.28[/C][C]0.22[/C][C]0.17[/C][/ROW]
[C]9.5[/C][C]0.05[/C][C]0.05[/C][C]0.09[/C][C]0.14[/C][C]0.05[/C][C]0.14[/C][C]0.05[/C][C]0.18[/C][C]0.09[/C][C]0.18[/C][C]0.18[/C][C]0.18[/C][C]0.5[/C][C]0.73[/C][C]0.55[/C][C]0.91[/C][C]1.32[/C][C]1.32[/C][C]0.77[/C][C]1.05[/C][C]1.55[/C][C]0.82[/C][C]0.86[/C][C]0.36[/C][C]0.36[/C][C]0.23[/C][C]0.18[/C][C]0.14[/C][/ROW]
[C]10[/C][C]0.04[/C][C]0.04[/C][C]0.08[/C][C]0.13[/C][C]0.04[/C][C]0.13[/C][C]0.04[/C][C]0.17[/C][C]0.08[/C][C]0.17[/C][C]0.17[/C][C]0.17[/C][C]0.46[/C][C]0.67[/C][C]0.5[/C][C]0.84[/C][C]1.22[/C][C]1.22[/C][C]0.71[/C][C]0.97[/C][C]1.43[/C][C]0.76[/C][C]0.8[/C][C]0.34[/C][C]0.34[/C][C]0.21[/C][C]0.17[/C][C]0.13[/C][/ROW]
[C]10.5[/C][C]0.01[/C][C]0.01[/C][C]0.03[/C][C]0.04[/C][C]0.01[/C][C]0.04[/C][C]0.01[/C][C]0.06[/C][C]0.03[/C][C]0.06[/C][C]0.06[/C][C]0.06[/C][C]0.15[/C][C]0.22[/C][C]0.17[/C][C]0.28[/C][C]0.41[/C][C]0.41[/C][C]0.24[/C][C]0.32[/C][C]0.48[/C][C]0.25[/C][C]0.27[/C][C]0.11[/C][C]0.11[/C][C]0.07[/C][C]0.06[/C][C]0.04[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267463&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267463&T=2

As an alternative you can also use a QR Code:  
QR Code


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

Tabulation of Expected Results
EX x NUM
0234789101112131415161718192021222324252627282930
00.020.020.030.050.020.050.020.070.030.070.070.070.190.280.210.350.510.510.30.40.590.310.330.140.140.090.070.05
0.50.020.020.040.060.020.060.020.080.040.080.080.080.230.340.250.420.610.610.360.480.710.380.40.170.170.10.080.06
10.020.020.050.070.020.070.020.10.050.10.10.10.270.390.290.490.710.710.420.560.830.440.470.20.20.120.10.07
1.50.010.010.030.040.010.040.010.060.030.060.060.060.150.220.170.280.410.410.240.320.480.250.270.110.110.070.060.04
20.010.010.010.020.010.020.010.030.010.030.030.030.080.110.080.140.20.20.120.160.240.130.130.060.060.030.030.02
2.50.030.030.060.090.030.090.030.130.060.130.130.130.350.50.380.630.910.910.530.721.070.570.60.250.250.160.130.09
30.020.020.040.060.020.060.020.080.040.080.080.080.230.340.250.420.610.610.360.480.710.380.40.170.170.10.080.06
3.50.050.050.10.150.050.150.050.20.10.20.20.20.540.780.590.981.421.420.831.131.660.880.930.390.390.240.20.15
40.030.030.060.080.030.080.030.110.060.110.110.110.310.450.340.560.810.810.480.640.950.50.530.220.220.140.110.08
4.50.060.060.110.170.060.170.060.220.110.220.220.220.620.90.671.121.621.620.951.291.91.011.060.450.450.280.220.17
50.070.070.150.220.070.220.070.290.150.290.290.290.811.170.881.472.132.131.251.692.51.321.40.590.590.370.290.22
5.50.070.070.130.20.070.20.070.270.130.270.270.270.731.060.81.331.931.931.131.532.261.21.260.530.530.330.270.2
60.060.060.130.190.060.190.060.250.130.250.250.250.691.010.761.261.831.831.071.452.141.131.20.50.50.310.250.19
6.50.060.060.130.190.060.190.060.250.130.250.250.250.691.010.761.261.831.831.071.452.141.131.20.50.50.310.250.19
70.070.070.150.220.070.220.070.290.150.290.290.290.811.170.881.472.132.131.251.692.51.321.40.590.590.370.290.22
7.50.080.080.160.240.080.240.080.320.160.320.320.320.881.290.971.612.332.331.371.852.731.451.530.640.640.40.320.24
80.080.080.170.250.080.250.080.340.170.340.340.340.921.341.011.682.432.431.431.932.851.511.590.670.670.420.340.25
8.50.070.070.140.210.070.210.070.280.140.280.280.280.771.120.841.42.032.031.191.612.381.261.330.560.560.350.280.21
90.060.060.110.170.060.170.060.220.110.220.220.220.620.90.671.121.621.620.951.291.91.011.060.450.450.280.220.17
9.50.050.050.090.140.050.140.050.180.090.180.180.180.50.730.550.911.321.320.771.051.550.820.860.360.360.230.180.14
100.040.040.080.130.040.130.040.170.080.170.170.170.460.670.50.841.221.220.710.971.430.760.80.340.340.210.170.13
10.50.010.010.030.040.010.040.010.060.030.060.060.060.150.220.170.280.410.410.240.320.480.250.270.110.110.070.060.04






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic564.63
Degrees of Freedom567
P value0.52

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 564.63 \tabularnewline
Degrees of Freedom & 567 \tabularnewline
P value & 0.52 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267463&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]564.63[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]567[/C][/ROW]
[ROW][C]P value[/C][C]0.52[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267463&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267463&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic564.63
Degrees of Freedom567
P value0.52


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
R code (references can be found in the software module):
library(vcd)
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi-Squared by Simulation') simulate.p.value=TRUE
x <- t(x)
(z <- array(unlist(x),dim=c(length(x[,1]),length(x[1,]))))
(table1 <- table(z[,cat1],z[,cat2]))
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
bitmap(file='pic1.png')
assoc(ftable(z[,cat1],z[,cat2],row.vars=1,dnn=c(V1,V2)),shade=T)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, table1[nr, nc], 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
(cst<-chisq.test(table1, simulate.p.value=simulate.p.value) )
if (par3 == 'McNemar Chi-Squared') {
(cst <- mcnemar.test(table1))
}
if (par3=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Expected Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, round(cst$expected[nr, nc], digits=2), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Statistical Results',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, cst$method, 2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$parameter, 1,FALSE)
a<-table.row.end(a)
}
}
a<-table.row.start(a)
a<-table.element(a, 'P value', 1, TRUE)
a<-table.element(a, round(cst$p.value, digits=2), 1,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')