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Author

*The author of this computation has been verified*

R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Fri, 05 Dec 2014 17:04:37 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/05/t1417799273tlxpzxaen4ss9yg.htm/, Retrieved Thu, 16 May 2024 11:57:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=263523, Retrieved Thu, 16 May 2024 11:57:57 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

119

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] [] [2014-12-05 17:04:37] [f8081e57f48fffedb891dd68b4ffae29] [Current]

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Dataseries X:

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Histogram

Boxplots

'7.5' 13
6 8
'6.5' 14
1 16
1 14
'5.5' 13
'8.5' 15
'6.5' 13
'4.5' 20
2 17
5 15
'0.5' 16
5 12
5 17
'2.5' 11
5 16
'5.5' 16
'3.5' 15
3 13
4 14
'0.5' 19
'6.5' 16
'4.5' 17
'7.5' 10
'5.5' 15
4 14
'7.5' 14
7 16
4 15
'5.5' 17
'2.5' 14
'5.5' 16
'3.5' 15
'2.5' 16
'4.5' 16
'4.5' 10
'4.5' 8
6 17
'2.5' 14
5 10
0 14
5 12
'6.5' 16
5 16
6 16
'4.5' 8
'5.5' 16
1 15
'7.5' 8
6 13
5 14
1 13
5 16
'6.5' 19
7 19
'4.5' 14
0 15
'8.5' 13
'3.5' 10
'7.5' 16
'3.5' 15
6 11
'1.5' 9
9 16
'3.5' 12
'3.5' 12
4 14
'6.5' 14
'7.5' 13
6 15
5 17
'5.5' 14
'3.5' 11
'7.5' 9
'6.5' 7
'6.5' 15
'6.5' 12
7 15
'3.5' 14
'1.5' 16
4 14
'7.5' 13
'4.5' 16
0 13
'3.5' 16
'5.5' 16
5 16
'4.5' 10
'2.5' 12
'7.5' 12
7 12
0 12
'4.5' 19
3 14
'1.5' 13
'3.5' 16
'2.5' 15
'5.5' 12
8 8
1 10
5 16
'4.5' 16
3 10
3 18
8 12
'2.5' 16
7 10
0 14
1 12
'3.5' 11
'5.5' 15
'5.5' 7
'0.5' 16
'7.5' 16
9 16
'9.5' 16
'8.5' 12
7 15
8 14
10 15
7 16
'8.5' 13
9 10
'9.5' 17
4 15
6 18
8 16
'5.5' 20
'9.5' 16
'7.5' 17
7 16
'7.5' 15
8 13
7 16
7 16
6 16
10 17
'2.5' 20
9 14
8 17
6 6
'8.5' 16
6 15
9 16
8 16
9 14
'5.5' 16
7 16
'5.5' 16
9 14
2 14
'8.5' 16
9 16
'8.5' 15
9 16
'7.5' 16
10 18
9 15
'7.5' 16
6 16
'10.5' 16
'8.5' 17
8 14
10 18
'10.5' 9
'6.5' 15
'9.5' 14
'8.5' 15
'7.5' 13
5 16
8 20
10 14
7 12
'7.5' 15
'7.5' 15
'9.5' 15
6 16
10 11
7 16
3 7
6 11
7 9
10 15
7 16
'3.5' 14
8 15
10 13
'5.5' 13
6 12
'6.5' 16
'6.5' 14
'8.5' 16
4 14
'9.5' 15
8 10
'8.5' 16
'5.5' 14
7 16
9 12
8 16
10 16
8 15
6 14
8 16
5 11
9 15
'4.5' 18
'8.5' 13
'9.5' 7
'8.5' 7
'7.5' 17
'7.5' 18
5 15
7 8
8 13
'5.5' 13
'8.5' 15
'9.5' 18
7 16
8 14
'8.5' 15
'3.5' 19
'6.5' 16
'6.5' 12
'10.5' 16
'8.5' 11
8 16
10 15
10 19
'9.5' 15
9 14
10 14
'7.5' 17
'4.5' 16
'4.5' 20
'0.5' 16
'6.5' 9
'4.5' 13
'5.5' 15
5 19
6 16
4 17
8 16
'10.5' 9
'6.5' 11
8 14
'8.5' 19
'5.5' 13
7 14
5 15
'3.5' 15
5 14
9 16
'8.5' 17
5 12
'9.5' 15
3 17
'1.5' 15
6 10
'0.5' 16
'6.5' 15
'7.5' 11
'4.5' 16
8 16
9 16
'7.5' 14
'8.5' 14
7 16
'9.5' 16
'6.5' 18
'9.5' 14
6 20
8 15
'9.5' 16
8 16
8 16
9 12
5 8

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263523&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263523&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263523&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Tabulation of Results
Ex x CONFSTATTOT
	10	11	12	13	14	15	16	17	18	19	20	6	7	8	9
0	0	0	1	1	2	1	0	0	0	0	0	0	0	0	0
0.5	0	0	0	0	0	0	4	0	0	1	0	0	0	0	0
1	1	0	1	1	1	1	1	0	0	0	0	0	0	0	0
1.5	0	0	0	1	0	1	1	0	0	0	0	0	0	0	1
10	0	1	0	1	2	3	1	1	2	1	0	0	0	0	0
10.5	0	0	0	0	0	0	2	0	0	0	0	0	0	0	2
2	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0
2.5	0	1	1	0	2	1	2	0	0	0	1	0	0	0	0
3	1	0	0	1	1	0	0	1	1	0	0	0	1	0	0
3.5	1	2	2	0	2	4	2	0	0	1	0	0	0	0	0
4	0	0	0	0	5	2	0	1	0	0	0	0	0	0	0
4.5	2	0	0	1	1	0	5	1	1	1	2	0	0	2	0
5	1	1	3	0	2	3	6	2	0	1	0	0	0	1	0
5.5	0	0	1	4	2	3	6	1	0	0	1	0	1	0	0
6	1	2	1	1	1	2	5	1	1	0	1	1	0	1	0
6.5	0	1	2	1	3	3	4	0	1	1	0	0	1	0	1
7	1	0	2	0	1	2	11	0	0	1	0	0	0	1	1
7.5	1	1	1	4	2	3	4	3	1	0	0	0	0	1	1
8	1	0	1	2	4	3	9	1	0	0	1	0	0	1	0
8.5	0	1	1	3	1	5	4	2	0	1	0	0	1	0	0
9	1	0	2	0	4	2	7	0	0	0	0	0	0	0	0
9.5	0	0	0	0	2	4	4	1	1	0	0	0	1	0	0

\begin{tabular}{lllllllll}
\hline

Tabulation of Results \tabularnewline

Ex x CONFSTATTOT \tabularnewline & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 6 & 7 & 8 & 9 \tabularnewline 0 & 0 & 0 & 1 & 1 & 2 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 0.5 & 0 & 0 & 0 & 0 & 0 & 0 & 4 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline 1 & 1 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 1.5 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline 10 & 0 & 1 & 0 & 1 & 2 & 3 & 1 & 1 & 2 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline 10.5 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 \tabularnewline 2 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 2.5 & 0 & 1 & 1 & 0 & 2 & 1 & 2 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline 3 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline 3.5 & 1 & 2 & 2 & 0 & 2 & 4 & 2 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline 4 & 0 & 0 & 0 & 0 & 5 & 2 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 4.5 & 2 & 0 & 0 & 1 & 1 & 0 & 5 & 1 & 1 & 1 & 2 & 0 & 0 & 2 & 0 \tabularnewline 5 & 1 & 1 & 3 & 0 & 2 & 3 & 6 & 2 & 0 & 1 & 0 & 0 & 0 & 1 & 0 \tabularnewline 5.5 & 0 & 0 & 1 & 4 & 2 & 3 & 6 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \tabularnewline 6 & 1 & 2 & 1 & 1 & 1 & 2 & 5 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \tabularnewline 6.5 & 0 & 1 & 2 & 1 & 3 & 3 & 4 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 \tabularnewline 7 & 1 & 0 & 2 & 0 & 1 & 2 & 11 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 1 \tabularnewline 7.5 & 1 & 1 & 1 & 4 & 2 & 3 & 4 & 3 & 1 & 0 & 0 & 0 & 0 & 1 & 1 \tabularnewline 8 & 1 & 0 & 1 & 2 & 4 & 3 & 9 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 \tabularnewline 8.5 & 0 & 1 & 1 & 3 & 1 & 5 & 4 & 2 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \tabularnewline 9 & 1 & 0 & 2 & 0 & 4 & 2 & 7 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 9.5 & 0 & 0 & 0 & 0 & 2 & 4 & 4 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=263523&T=1

[TABLE]
[ROW]

Tabulation of Results[/C][/ROW] [ROW]

Ex x CONFSTATTOT[/C][/ROW] [ROW][C] [/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]6[/C][C]7[/C][C]8[/C][C]9[/C][/ROW] [C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/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]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]4[/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][/ROW] [C]1[/C][C]1[/C][C]0[/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]0[/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]1[/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][C]1[/C][/ROW] [C]10[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/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]2[/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][/ROW] [C]2[/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]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]2.5[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/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][C]0[/C][/ROW] [C]3[/C][C]1[/C][C]0[/C][C]0[/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]1[/C][C]0[/C][C]0[/C][/ROW] [C]3.5[/C][C]1[/C][C]2[/C][C]2[/C][C]0[/C][C]2[/C][C]4[/C][C]2[/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][/ROW] [C]4[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]5[/C][C]2[/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]4.5[/C][C]2[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]5[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][/ROW] [C]5[/C][C]1[/C][C]1[/C][C]3[/C][C]0[/C][C]2[/C][C]3[/C][C]6[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [C]5.5[/C][C]0[/C][C]0[/C][C]1[/C][C]4[/C][C]2[/C][C]3[/C][C]6[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]6[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][C]5[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [C]6.5[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]3[/C][C]3[/C][C]4[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][/ROW] [C]7[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]2[/C][C]11[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][/ROW] [C]7.5[/C][C]1[/C][C]1[/C][C]1[/C][C]4[/C][C]2[/C][C]3[/C][C]4[/C][C]3[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][/ROW] [C]8[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]4[/C][C]3[/C][C]9[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [C]8.5[/C][C]0[/C][C]1[/C][C]1[/C][C]3[/C][C]1[/C][C]5[/C][C]4[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]9[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]4[/C][C]2[/C][C]7[/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]9.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]4[/C][C]4[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=263523&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263523&T=1

As an alternative you can also use a QR Code:

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

Tabulation of Results
Ex x CONFSTATTOT
	10	11	12	13	14	15	16	17	18	19	20	6	7	8	9
0	0	0	1	1	2	1	0	0	0	0	0	0	0	0	0
0.5	0	0	0	0	0	0	4	0	0	1	0	0	0	0	0
1	1	0	1	1	1	1	1	0	0	0	0	0	0	0	0
1.5	0	0	0	1	0	1	1	0	0	0	0	0	0	0	1
10	0	1	0	1	2	3	1	1	2	1	0	0	0	0	0
10.5	0	0	0	0	0	0	2	0	0	0	0	0	0	0	2
2	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0
2.5	0	1	1	0	2	1	2	0	0	0	1	0	0	0	0
3	1	0	0	1	1	0	0	1	1	0	0	0	1	0	0
3.5	1	2	2	0	2	4	2	0	0	1	0	0	0	0	0
4	0	0	0	0	5	2	0	1	0	0	0	0	0	0	0
4.5	2	0	0	1	1	0	5	1	1	1	2	0	0	2	0
5	1	1	3	0	2	3	6	2	0	1	0	0	0	1	0
5.5	0	0	1	4	2	3	6	1	0	0	1	0	1	0	0
6	1	2	1	1	1	2	5	1	1	0	1	1	0	1	0
6.5	0	1	2	1	3	3	4	0	1	1	0	0	1	0	1
7	1	0	2	0	1	2	11	0	0	1	0	0	0	1	1
7.5	1	1	1	4	2	3	4	3	1	0	0	0	0	1	1
8	1	0	1	2	4	3	9	1	0	0	1	0	0	1	0
8.5	0	1	1	3	1	5	4	2	0	1	0	0	1	0	0
9	1	0	2	0	4	2	7	0	0	0	0	0	0	0	0
9.5	0	0	0	0	2	4	4	1	1	0	0	0	1	0	0

Tabulation of Expected Results
Ex x CONFSTATTOT
	10	11	12	13	14	15	16	17	18	19	20	6	7	8	9
0	0.2	0.18	0.34	0.38	0.7	0.77	1.4	0.29	0.14	0.14	0.11	0.02	0.09	0.13	0.11
0.5	0.2	0.18	0.34	0.38	0.7	0.77	1.4	0.29	0.14	0.14	0.11	0.02	0.09	0.13	0.11
1	0.24	0.22	0.41	0.45	0.84	0.93	1.68	0.35	0.17	0.17	0.13	0.02	0.11	0.15	0.13
1.5	0.16	0.14	0.27	0.3	0.56	0.62	1.12	0.23	0.12	0.12	0.09	0.01	0.07	0.1	0.09
10	0.47	0.43	0.82	0.91	1.68	1.86	3.37	0.69	0.35	0.35	0.26	0.04	0.22	0.3	0.26
10.5	0.16	0.14	0.27	0.3	0.56	0.62	1.12	0.23	0.12	0.12	0.09	0.01	0.07	0.1	0.09
2	0.08	0.07	0.14	0.15	0.28	0.31	0.56	0.12	0.06	0.06	0.04	0.01	0.04	0.05	0.04
2.5	0.32	0.29	0.55	0.6	1.12	1.24	2.24	0.46	0.23	0.23	0.17	0.03	0.14	0.2	0.17
3	0.24	0.22	0.41	0.45	0.84	0.93	1.68	0.35	0.17	0.17	0.13	0.02	0.11	0.15	0.13
3.5	0.55	0.5	0.96	1.06	1.96	2.17	3.93	0.81	0.4	0.4	0.3	0.05	0.25	0.35	0.3
4	0.32	0.29	0.55	0.6	1.12	1.24	2.24	0.46	0.23	0.23	0.17	0.03	0.14	0.2	0.17
4.5	0.63	0.58	1.09	1.21	2.24	2.47	4.49	0.92	0.46	0.46	0.35	0.06	0.29	0.4	0.35
5	0.79	0.72	1.37	1.51	2.81	3.09	5.61	1.15	0.58	0.58	0.43	0.07	0.36	0.5	0.43
5.5	0.75	0.68	1.3	1.44	2.67	2.94	5.33	1.09	0.55	0.55	0.41	0.07	0.34	0.48	0.41
6	0.71	0.65	1.23	1.36	2.53	2.78	5.05	1.04	0.52	0.52	0.39	0.06	0.32	0.45	0.39
6.5	0.71	0.65	1.23	1.36	2.53	2.78	5.05	1.04	0.52	0.52	0.39	0.06	0.32	0.45	0.39
7	0.79	0.72	1.37	1.51	2.81	3.09	5.61	1.15	0.58	0.58	0.43	0.07	0.36	0.5	0.43
7.5	0.87	0.79	1.5	1.66	3.09	3.4	6.17	1.27	0.63	0.63	0.47	0.08	0.4	0.55	0.47
8	0.91	0.83	1.57	1.74	3.23	3.56	6.45	1.32	0.66	0.66	0.5	0.08	0.41	0.58	0.5
8.5	0.75	0.68	1.3	1.44	2.67	2.94	5.33	1.09	0.55	0.55	0.41	0.07	0.34	0.48	0.41
9	0.63	0.58	1.09	1.21	2.24	2.47	4.49	0.92	0.46	0.46	0.35	0.06	0.29	0.4	0.35
9.5	0.51	0.47	0.89	0.98	1.82	2.01	3.65	0.75	0.37	0.37	0.28	0.05	0.23	0.33	0.28

\begin{tabular}{lllllllll}
\hline

Tabulation of Expected Results \tabularnewline

Ex x CONFSTATTOT \tabularnewline & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 6 & 7 & 8 & 9 \tabularnewline 0 & 0.2 & 0.18 & 0.34 & 0.38 & 0.7 & 0.77 & 1.4 & 0.29 & 0.14 & 0.14 & 0.11 & 0.02 & 0.09 & 0.13 & 0.11 \tabularnewline 0.5 & 0.2 & 0.18 & 0.34 & 0.38 & 0.7 & 0.77 & 1.4 & 0.29 & 0.14 & 0.14 & 0.11 & 0.02 & 0.09 & 0.13 & 0.11 \tabularnewline 1 & 0.24 & 0.22 & 0.41 & 0.45 & 0.84 & 0.93 & 1.68 & 0.35 & 0.17 & 0.17 & 0.13 & 0.02 & 0.11 & 0.15 & 0.13 \tabularnewline 1.5 & 0.16 & 0.14 & 0.27 & 0.3 & 0.56 & 0.62 & 1.12 & 0.23 & 0.12 & 0.12 & 0.09 & 0.01 & 0.07 & 0.1 & 0.09 \tabularnewline 10 & 0.47 & 0.43 & 0.82 & 0.91 & 1.68 & 1.86 & 3.37 & 0.69 & 0.35 & 0.35 & 0.26 & 0.04 & 0.22 & 0.3 & 0.26 \tabularnewline 10.5 & 0.16 & 0.14 & 0.27 & 0.3 & 0.56 & 0.62 & 1.12 & 0.23 & 0.12 & 0.12 & 0.09 & 0.01 & 0.07 & 0.1 & 0.09 \tabularnewline 2 & 0.08 & 0.07 & 0.14 & 0.15 & 0.28 & 0.31 & 0.56 & 0.12 & 0.06 & 0.06 & 0.04 & 0.01 & 0.04 & 0.05 & 0.04 \tabularnewline 2.5 & 0.32 & 0.29 & 0.55 & 0.6 & 1.12 & 1.24 & 2.24 & 0.46 & 0.23 & 0.23 & 0.17 & 0.03 & 0.14 & 0.2 & 0.17 \tabularnewline 3 & 0.24 & 0.22 & 0.41 & 0.45 & 0.84 & 0.93 & 1.68 & 0.35 & 0.17 & 0.17 & 0.13 & 0.02 & 0.11 & 0.15 & 0.13 \tabularnewline 3.5 & 0.55 & 0.5 & 0.96 & 1.06 & 1.96 & 2.17 & 3.93 & 0.81 & 0.4 & 0.4 & 0.3 & 0.05 & 0.25 & 0.35 & 0.3 \tabularnewline 4 & 0.32 & 0.29 & 0.55 & 0.6 & 1.12 & 1.24 & 2.24 & 0.46 & 0.23 & 0.23 & 0.17 & 0.03 & 0.14 & 0.2 & 0.17 \tabularnewline 4.5 & 0.63 & 0.58 & 1.09 & 1.21 & 2.24 & 2.47 & 4.49 & 0.92 & 0.46 & 0.46 & 0.35 & 0.06 & 0.29 & 0.4 & 0.35 \tabularnewline 5 & 0.79 & 0.72 & 1.37 & 1.51 & 2.81 & 3.09 & 5.61 & 1.15 & 0.58 & 0.58 & 0.43 & 0.07 & 0.36 & 0.5 & 0.43 \tabularnewline 5.5 & 0.75 & 0.68 & 1.3 & 1.44 & 2.67 & 2.94 & 5.33 & 1.09 & 0.55 & 0.55 & 0.41 & 0.07 & 0.34 & 0.48 & 0.41 \tabularnewline 6 & 0.71 & 0.65 & 1.23 & 1.36 & 2.53 & 2.78 & 5.05 & 1.04 & 0.52 & 0.52 & 0.39 & 0.06 & 0.32 & 0.45 & 0.39 \tabularnewline 6.5 & 0.71 & 0.65 & 1.23 & 1.36 & 2.53 & 2.78 & 5.05 & 1.04 & 0.52 & 0.52 & 0.39 & 0.06 & 0.32 & 0.45 & 0.39 \tabularnewline 7 & 0.79 & 0.72 & 1.37 & 1.51 & 2.81 & 3.09 & 5.61 & 1.15 & 0.58 & 0.58 & 0.43 & 0.07 & 0.36 & 0.5 & 0.43 \tabularnewline 7.5 & 0.87 & 0.79 & 1.5 & 1.66 & 3.09 & 3.4 & 6.17 & 1.27 & 0.63 & 0.63 & 0.47 & 0.08 & 0.4 & 0.55 & 0.47 \tabularnewline 8 & 0.91 & 0.83 & 1.57 & 1.74 & 3.23 & 3.56 & 6.45 & 1.32 & 0.66 & 0.66 & 0.5 & 0.08 & 0.41 & 0.58 & 0.5 \tabularnewline 8.5 & 0.75 & 0.68 & 1.3 & 1.44 & 2.67 & 2.94 & 5.33 & 1.09 & 0.55 & 0.55 & 0.41 & 0.07 & 0.34 & 0.48 & 0.41 \tabularnewline 9 & 0.63 & 0.58 & 1.09 & 1.21 & 2.24 & 2.47 & 4.49 & 0.92 & 0.46 & 0.46 & 0.35 & 0.06 & 0.29 & 0.4 & 0.35 \tabularnewline 9.5 & 0.51 & 0.47 & 0.89 & 0.98 & 1.82 & 2.01 & 3.65 & 0.75 & 0.37 & 0.37 & 0.28 & 0.05 & 0.23 & 0.33 & 0.28 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=263523&T=2

[TABLE]
[ROW]

Tabulation of Expected Results[/C][/ROW] [ROW]

Ex x CONFSTATTOT[/C][/ROW] [ROW][C] [/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]6[/C][C]7[/C][C]8[/C][C]9[/C][/ROW] [C]0[/C][C]0.2[/C][C]0.18[/C][C]0.34[/C][C]0.38[/C][C]0.7[/C][C]0.77[/C][C]1.4[/C][C]0.29[/C][C]0.14[/C][C]0.14[/C][C]0.11[/C][C]0.02[/C][C]0.09[/C][C]0.13[/C][C]0.11[/C][/ROW] [C]0.5[/C][C]0.2[/C][C]0.18[/C][C]0.34[/C][C]0.38[/C][C]0.7[/C][C]0.77[/C][C]1.4[/C][C]0.29[/C][C]0.14[/C][C]0.14[/C][C]0.11[/C][C]0.02[/C][C]0.09[/C][C]0.13[/C][C]0.11[/C][/ROW] [C]1[/C][C]0.24[/C][C]0.22[/C][C]0.41[/C][C]0.45[/C][C]0.84[/C][C]0.93[/C][C]1.68[/C][C]0.35[/C][C]0.17[/C][C]0.17[/C][C]0.13[/C][C]0.02[/C][C]0.11[/C][C]0.15[/C][C]0.13[/C][/ROW] [C]1.5[/C][C]0.16[/C][C]0.14[/C][C]0.27[/C][C]0.3[/C][C]0.56[/C][C]0.62[/C][C]1.12[/C][C]0.23[/C][C]0.12[/C][C]0.12[/C][C]0.09[/C][C]0.01[/C][C]0.07[/C][C]0.1[/C][C]0.09[/C][/ROW] [C]10[/C][C]0.47[/C][C]0.43[/C][C]0.82[/C][C]0.91[/C][C]1.68[/C][C]1.86[/C][C]3.37[/C][C]0.69[/C][C]0.35[/C][C]0.35[/C][C]0.26[/C][C]0.04[/C][C]0.22[/C][C]0.3[/C][C]0.26[/C][/ROW] [C]10.5[/C][C]0.16[/C][C]0.14[/C][C]0.27[/C][C]0.3[/C][C]0.56[/C][C]0.62[/C][C]1.12[/C][C]0.23[/C][C]0.12[/C][C]0.12[/C][C]0.09[/C][C]0.01[/C][C]0.07[/C][C]0.1[/C][C]0.09[/C][/ROW] [C]2[/C][C]0.08[/C][C]0.07[/C][C]0.14[/C][C]0.15[/C][C]0.28[/C][C]0.31[/C][C]0.56[/C][C]0.12[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.01[/C][C]0.04[/C][C]0.05[/C][C]0.04[/C][/ROW] [C]2.5[/C][C]0.32[/C][C]0.29[/C][C]0.55[/C][C]0.6[/C][C]1.12[/C][C]1.24[/C][C]2.24[/C][C]0.46[/C][C]0.23[/C][C]0.23[/C][C]0.17[/C][C]0.03[/C][C]0.14[/C][C]0.2[/C][C]0.17[/C][/ROW] [C]3[/C][C]0.24[/C][C]0.22[/C][C]0.41[/C][C]0.45[/C][C]0.84[/C][C]0.93[/C][C]1.68[/C][C]0.35[/C][C]0.17[/C][C]0.17[/C][C]0.13[/C][C]0.02[/C][C]0.11[/C][C]0.15[/C][C]0.13[/C][/ROW] [C]3.5[/C][C]0.55[/C][C]0.5[/C][C]0.96[/C][C]1.06[/C][C]1.96[/C][C]2.17[/C][C]3.93[/C][C]0.81[/C][C]0.4[/C][C]0.4[/C][C]0.3[/C][C]0.05[/C][C]0.25[/C][C]0.35[/C][C]0.3[/C][/ROW] [C]4[/C][C]0.32[/C][C]0.29[/C][C]0.55[/C][C]0.6[/C][C]1.12[/C][C]1.24[/C][C]2.24[/C][C]0.46[/C][C]0.23[/C][C]0.23[/C][C]0.17[/C][C]0.03[/C][C]0.14[/C][C]0.2[/C][C]0.17[/C][/ROW] [C]4.5[/C][C]0.63[/C][C]0.58[/C][C]1.09[/C][C]1.21[/C][C]2.24[/C][C]2.47[/C][C]4.49[/C][C]0.92[/C][C]0.46[/C][C]0.46[/C][C]0.35[/C][C]0.06[/C][C]0.29[/C][C]0.4[/C][C]0.35[/C][/ROW] [C]5[/C][C]0.79[/C][C]0.72[/C][C]1.37[/C][C]1.51[/C][C]2.81[/C][C]3.09[/C][C]5.61[/C][C]1.15[/C][C]0.58[/C][C]0.58[/C][C]0.43[/C][C]0.07[/C][C]0.36[/C][C]0.5[/C][C]0.43[/C][/ROW] [C]5.5[/C][C]0.75[/C][C]0.68[/C][C]1.3[/C][C]1.44[/C][C]2.67[/C][C]2.94[/C][C]5.33[/C][C]1.09[/C][C]0.55[/C][C]0.55[/C][C]0.41[/C][C]0.07[/C][C]0.34[/C][C]0.48[/C][C]0.41[/C][/ROW] [C]6[/C][C]0.71[/C][C]0.65[/C][C]1.23[/C][C]1.36[/C][C]2.53[/C][C]2.78[/C][C]5.05[/C][C]1.04[/C][C]0.52[/C][C]0.52[/C][C]0.39[/C][C]0.06[/C][C]0.32[/C][C]0.45[/C][C]0.39[/C][/ROW] [C]6.5[/C][C]0.71[/C][C]0.65[/C][C]1.23[/C][C]1.36[/C][C]2.53[/C][C]2.78[/C][C]5.05[/C][C]1.04[/C][C]0.52[/C][C]0.52[/C][C]0.39[/C][C]0.06[/C][C]0.32[/C][C]0.45[/C][C]0.39[/C][/ROW] [C]7[/C][C]0.79[/C][C]0.72[/C][C]1.37[/C][C]1.51[/C][C]2.81[/C][C]3.09[/C][C]5.61[/C][C]1.15[/C][C]0.58[/C][C]0.58[/C][C]0.43[/C][C]0.07[/C][C]0.36[/C][C]0.5[/C][C]0.43[/C][/ROW] [C]7.5[/C][C]0.87[/C][C]0.79[/C][C]1.5[/C][C]1.66[/C][C]3.09[/C][C]3.4[/C][C]6.17[/C][C]1.27[/C][C]0.63[/C][C]0.63[/C][C]0.47[/C][C]0.08[/C][C]0.4[/C][C]0.55[/C][C]0.47[/C][/ROW] [C]8[/C][C]0.91[/C][C]0.83[/C][C]1.57[/C][C]1.74[/C][C]3.23[/C][C]3.56[/C][C]6.45[/C][C]1.32[/C][C]0.66[/C][C]0.66[/C][C]0.5[/C][C]0.08[/C][C]0.41[/C][C]0.58[/C][C]0.5[/C][/ROW] [C]8.5[/C][C]0.75[/C][C]0.68[/C][C]1.3[/C][C]1.44[/C][C]2.67[/C][C]2.94[/C][C]5.33[/C][C]1.09[/C][C]0.55[/C][C]0.55[/C][C]0.41[/C][C]0.07[/C][C]0.34[/C][C]0.48[/C][C]0.41[/C][/ROW] [C]9[/C][C]0.63[/C][C]0.58[/C][C]1.09[/C][C]1.21[/C][C]2.24[/C][C]2.47[/C][C]4.49[/C][C]0.92[/C][C]0.46[/C][C]0.46[/C][C]0.35[/C][C]0.06[/C][C]0.29[/C][C]0.4[/C][C]0.35[/C][/ROW] [C]9.5[/C][C]0.51[/C][C]0.47[/C][C]0.89[/C][C]0.98[/C][C]1.82[/C][C]2.01[/C][C]3.65[/C][C]0.75[/C][C]0.37[/C][C]0.37[/C][C]0.28[/C][C]0.05[/C][C]0.23[/C][C]0.33[/C][C]0.28[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=263523&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263523&T=2

As an alternative you can also use a QR Code:

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

Tabulation of Expected Results
Ex x CONFSTATTOT
	10	11	12	13	14	15	16	17	18	19	20	6	7	8	9
0	0.2	0.18	0.34	0.38	0.7	0.77	1.4	0.29	0.14	0.14	0.11	0.02	0.09	0.13	0.11
0.5	0.2	0.18	0.34	0.38	0.7	0.77	1.4	0.29	0.14	0.14	0.11	0.02	0.09	0.13	0.11
1	0.24	0.22	0.41	0.45	0.84	0.93	1.68	0.35	0.17	0.17	0.13	0.02	0.11	0.15	0.13
1.5	0.16	0.14	0.27	0.3	0.56	0.62	1.12	0.23	0.12	0.12	0.09	0.01	0.07	0.1	0.09
10	0.47	0.43	0.82	0.91	1.68	1.86	3.37	0.69	0.35	0.35	0.26	0.04	0.22	0.3	0.26
10.5	0.16	0.14	0.27	0.3	0.56	0.62	1.12	0.23	0.12	0.12	0.09	0.01	0.07	0.1	0.09
2	0.08	0.07	0.14	0.15	0.28	0.31	0.56	0.12	0.06	0.06	0.04	0.01	0.04	0.05	0.04
2.5	0.32	0.29	0.55	0.6	1.12	1.24	2.24	0.46	0.23	0.23	0.17	0.03	0.14	0.2	0.17
3	0.24	0.22	0.41	0.45	0.84	0.93	1.68	0.35	0.17	0.17	0.13	0.02	0.11	0.15	0.13
3.5	0.55	0.5	0.96	1.06	1.96	2.17	3.93	0.81	0.4	0.4	0.3	0.05	0.25	0.35	0.3
4	0.32	0.29	0.55	0.6	1.12	1.24	2.24	0.46	0.23	0.23	0.17	0.03	0.14	0.2	0.17
4.5	0.63	0.58	1.09	1.21	2.24	2.47	4.49	0.92	0.46	0.46	0.35	0.06	0.29	0.4	0.35
5	0.79	0.72	1.37	1.51	2.81	3.09	5.61	1.15	0.58	0.58	0.43	0.07	0.36	0.5	0.43
5.5	0.75	0.68	1.3	1.44	2.67	2.94	5.33	1.09	0.55	0.55	0.41	0.07	0.34	0.48	0.41
6	0.71	0.65	1.23	1.36	2.53	2.78	5.05	1.04	0.52	0.52	0.39	0.06	0.32	0.45	0.39
6.5	0.71	0.65	1.23	1.36	2.53	2.78	5.05	1.04	0.52	0.52	0.39	0.06	0.32	0.45	0.39
7	0.79	0.72	1.37	1.51	2.81	3.09	5.61	1.15	0.58	0.58	0.43	0.07	0.36	0.5	0.43
7.5	0.87	0.79	1.5	1.66	3.09	3.4	6.17	1.27	0.63	0.63	0.47	0.08	0.4	0.55	0.47
8	0.91	0.83	1.57	1.74	3.23	3.56	6.45	1.32	0.66	0.66	0.5	0.08	0.41	0.58	0.5
8.5	0.75	0.68	1.3	1.44	2.67	2.94	5.33	1.09	0.55	0.55	0.41	0.07	0.34	0.48	0.41
9	0.63	0.58	1.09	1.21	2.24	2.47	4.49	0.92	0.46	0.46	0.35	0.06	0.29	0.4	0.35
9.5	0.51	0.47	0.89	0.98	1.82	2.01	3.65	0.75	0.37	0.37	0.28	0.05	0.23	0.33	0.28

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	299.63
Degrees of Freedom	294
P value	0.4

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 299.63 \tabularnewline
Degrees of Freedom & 294 \tabularnewline
P value & 0.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263523&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]299.63[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]294[/C][/ROW]
[ROW][C]P value[/C][C]0.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263523&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263523&T=3

As an alternative you can also use a QR Code:

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

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	299.63
Degrees of Freedom	294
P value	0.4

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code