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*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, 12 Dec 2014 13:32:01 +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/12/t1418391142dqhs4l2v1kct5bj.htm/, Retrieved Thu, 31 Oct 2024 23:05:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266677, Retrieved Thu, 31 Oct 2024 23:05:58 +0000

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Estimated Impact

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] [lkg] [2014-12-12 13:32:01] [cf34f1111566f5ca061ad80c95189d56] [Current]

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Dataseries X:

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266677&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266677&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266677&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	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Tabulation of Results
CONFSTATTOT x CONFSOFTTOT
	3	4	5	6	7	8	9	10	11	12	13	14	15
6	0	0	0	1	0	0	0	0	0	0	0	0	0
7	1	0	1	0	0	2	0	0	1	0	0	0	0
8	1	0	1	1	0	2	0	0	1	1	0	0	0
9	0	1	0	0	2	2	0	1	0	0	0	0	0
10	0	0	0	2	1	0	3	3	0	2	0	0	0
11	0	0	0	1	1	4	0	2	0	0	2	0	0
12	0	0	0	1	2	3	5	3	1	4	0	0	0
13	0	0	0	0	1	3	2	7	2	3	1	1	1
14	0	0	0	1	2	4	8	4	9	11	0	0	0
15	0	0	0	1	2	0	2	6	10	20	2	0	0
16	0	0	0	1	0	2	5	8	13	37	5	4	3
17	0	0	0	0	0	0	0	2	1	5	6	1	1
18	0	0	0	0	0	0	0	0	3	1	2	1	1
19	0	0	0	0	0	0	0	0	0	1	1	4	2
20	0	0	0	0	1	0	0	0	0	0	0	0	5

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
CONFSTATTOT  x  CONFSOFTTOT \tabularnewline
  & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \tabularnewline
6 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
7 & 1 & 0 & 1 & 0 & 0 & 2 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
8 & 1 & 0 & 1 & 1 & 0 & 2 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \tabularnewline
9 & 0 & 1 & 0 & 0 & 2 & 2 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
10 & 0 & 0 & 0 & 2 & 1 & 0 & 3 & 3 & 0 & 2 & 0 & 0 & 0 \tabularnewline
11 & 0 & 0 & 0 & 1 & 1 & 4 & 0 & 2 & 0 & 0 & 2 & 0 & 0 \tabularnewline
12 & 0 & 0 & 0 & 1 & 2 & 3 & 5 & 3 & 1 & 4 & 0 & 0 & 0 \tabularnewline
13 & 0 & 0 & 0 & 0 & 1 & 3 & 2 & 7 & 2 & 3 & 1 & 1 & 1 \tabularnewline
14 & 0 & 0 & 0 & 1 & 2 & 4 & 8 & 4 & 9 & 11 & 0 & 0 & 0 \tabularnewline
15 & 0 & 0 & 0 & 1 & 2 & 0 & 2 & 6 & 10 & 20 & 2 & 0 & 0 \tabularnewline
16 & 0 & 0 & 0 & 1 & 0 & 2 & 5 & 8 & 13 & 37 & 5 & 4 & 3 \tabularnewline
17 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 1 & 5 & 6 & 1 & 1 \tabularnewline
18 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 & 2 & 1 & 1 \tabularnewline
19 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 4 & 2 \tabularnewline
20 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266677&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]CONFSTATTOT  x  CONFSOFTTOT[/C][/ROW]
[ROW][C] [/C][C]3[/C][C]4[/C][C]5[/C][C]6[/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][/ROW]
[C]6[/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][/ROW]
[C]7[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/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][/ROW]
[C]8[/C][C]1[/C][C]0[/C][C]1[/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]0[/C][C]0[/C][/ROW]
[C]9[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/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][/ROW]
[C]10[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]3[/C][C]3[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]11[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]4[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[C]12[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]5[/C][C]3[/C][C]1[/C][C]4[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]13[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]2[/C][C]7[/C][C]2[/C][C]3[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[C]14[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]4[/C][C]8[/C][C]4[/C][C]9[/C][C]11[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]2[/C][C]6[/C][C]10[/C][C]20[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[C]16[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]5[/C][C]8[/C][C]13[/C][C]37[/C][C]5[/C][C]4[/C][C]3[/C][/ROW]
[C]17[/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]5[/C][C]6[/C][C]1[/C][C]1[/C][/ROW]
[C]18[/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]3[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][/ROW]
[C]19[/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]4[/C][C]2[/C][/ROW]
[C]20[/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]5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266677&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266677&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
CONFSTATTOT x CONFSOFTTOT
	3	4	5	6	7	8	9	10	11	12	13	14	15
6	0	0	0	1	0	0	0	0	0	0	0	0	0
7	1	0	1	0	0	2	0	0	1	0	0	0	0
8	1	0	1	1	0	2	0	0	1	1	0	0	0
9	0	1	0	0	2	2	0	1	0	0	0	0	0
10	0	0	0	2	1	0	3	3	0	2	0	0	0
11	0	0	0	1	1	4	0	2	0	0	2	0	0
12	0	0	0	1	2	3	5	3	1	4	0	0	0
13	0	0	0	0	1	3	2	7	2	3	1	1	1
14	0	0	0	1	2	4	8	4	9	11	0	0	0
15	0	0	0	1	2	0	2	6	10	20	2	0	0
16	0	0	0	1	0	2	5	8	13	37	5	4	3
17	0	0	0	0	0	0	0	2	1	5	6	1	1
18	0	0	0	0	0	0	0	0	3	1	2	1	1
19	0	0	0	0	0	0	0	0	0	1	1	4	2
20	0	0	0	0	1	0	0	0	0	0	0	0	5

Tabulation of Expected Results
CONFSTATTOT x CONFSOFTTOT
	3	4	5	6	7	8	9	10	11	12	13	14	15
6	0.01	0	0.01	0.03	0.04	0.08	0.09	0.13	0.15	0.31	0.07	0.04	0.05
7	0.04	0.02	0.04	0.16	0.22	0.4	0.45	0.65	0.74	1.53	0.34	0.2	0.23
8	0.05	0.03	0.05	0.23	0.3	0.55	0.63	0.91	1.03	2.14	0.48	0.28	0.33
9	0.04	0.02	0.04	0.19	0.26	0.47	0.54	0.78	0.88	1.83	0.41	0.24	0.28
10	0.08	0.04	0.08	0.36	0.47	0.87	0.99	1.42	1.62	3.36	0.75	0.44	0.51
11	0.07	0.04	0.07	0.32	0.43	0.79	0.9	1.29	1.47	3.06	0.68	0.4	0.47
12	0.14	0.07	0.14	0.62	0.82	1.5	1.71	2.46	2.8	5.81	1.3	0.75	0.89
13	0.15	0.08	0.15	0.68	0.91	1.66	1.89	2.72	3.1	6.42	1.44	0.83	0.98
14	0.28	0.14	0.28	1.26	1.68	3.09	3.51	5.05	5.75	11.92	2.67	1.54	1.82
15	0.31	0.15	0.31	1.39	1.86	3.4	3.87	5.57	6.34	13.15	2.94	1.7	2.01
16	0.56	0.28	0.56	2.53	3.37	6.17	7.01	10.1	11.5	23.85	5.33	3.09	3.65
17	0.12	0.06	0.12	0.52	0.69	1.27	1.44	2.07	2.36	4.89	1.09	0.63	0.75
18	0.06	0.03	0.06	0.26	0.35	0.63	0.72	1.04	1.18	2.45	0.55	0.32	0.37
19	0.06	0.03	0.06	0.26	0.35	0.63	0.72	1.04	1.18	2.45	0.55	0.32	0.37
20	0.04	0.02	0.04	0.19	0.26	0.47	0.54	0.78	0.88	1.83	0.41	0.24	0.28

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
CONFSTATTOT  x  CONFSOFTTOT \tabularnewline
  & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \tabularnewline
6 & 0.01 & 0 & 0.01 & 0.03 & 0.04 & 0.08 & 0.09 & 0.13 & 0.15 & 0.31 & 0.07 & 0.04 & 0.05 \tabularnewline
7 & 0.04 & 0.02 & 0.04 & 0.16 & 0.22 & 0.4 & 0.45 & 0.65 & 0.74 & 1.53 & 0.34 & 0.2 & 0.23 \tabularnewline
8 & 0.05 & 0.03 & 0.05 & 0.23 & 0.3 & 0.55 & 0.63 & 0.91 & 1.03 & 2.14 & 0.48 & 0.28 & 0.33 \tabularnewline
9 & 0.04 & 0.02 & 0.04 & 0.19 & 0.26 & 0.47 & 0.54 & 0.78 & 0.88 & 1.83 & 0.41 & 0.24 & 0.28 \tabularnewline
10 & 0.08 & 0.04 & 0.08 & 0.36 & 0.47 & 0.87 & 0.99 & 1.42 & 1.62 & 3.36 & 0.75 & 0.44 & 0.51 \tabularnewline
11 & 0.07 & 0.04 & 0.07 & 0.32 & 0.43 & 0.79 & 0.9 & 1.29 & 1.47 & 3.06 & 0.68 & 0.4 & 0.47 \tabularnewline
12 & 0.14 & 0.07 & 0.14 & 0.62 & 0.82 & 1.5 & 1.71 & 2.46 & 2.8 & 5.81 & 1.3 & 0.75 & 0.89 \tabularnewline
13 & 0.15 & 0.08 & 0.15 & 0.68 & 0.91 & 1.66 & 1.89 & 2.72 & 3.1 & 6.42 & 1.44 & 0.83 & 0.98 \tabularnewline
14 & 0.28 & 0.14 & 0.28 & 1.26 & 1.68 & 3.09 & 3.51 & 5.05 & 5.75 & 11.92 & 2.67 & 1.54 & 1.82 \tabularnewline
15 & 0.31 & 0.15 & 0.31 & 1.39 & 1.86 & 3.4 & 3.87 & 5.57 & 6.34 & 13.15 & 2.94 & 1.7 & 2.01 \tabularnewline
16 & 0.56 & 0.28 & 0.56 & 2.53 & 3.37 & 6.17 & 7.01 & 10.1 & 11.5 & 23.85 & 5.33 & 3.09 & 3.65 \tabularnewline
17 & 0.12 & 0.06 & 0.12 & 0.52 & 0.69 & 1.27 & 1.44 & 2.07 & 2.36 & 4.89 & 1.09 & 0.63 & 0.75 \tabularnewline
18 & 0.06 & 0.03 & 0.06 & 0.26 & 0.35 & 0.63 & 0.72 & 1.04 & 1.18 & 2.45 & 0.55 & 0.32 & 0.37 \tabularnewline
19 & 0.06 & 0.03 & 0.06 & 0.26 & 0.35 & 0.63 & 0.72 & 1.04 & 1.18 & 2.45 & 0.55 & 0.32 & 0.37 \tabularnewline
20 & 0.04 & 0.02 & 0.04 & 0.19 & 0.26 & 0.47 & 0.54 & 0.78 & 0.88 & 1.83 & 0.41 & 0.24 & 0.28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266677&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]CONFSTATTOT  x  CONFSOFTTOT[/C][/ROW]
[ROW][C] [/C][C]3[/C][C]4[/C][C]5[/C][C]6[/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][/ROW]
[C]6[/C][C]0.01[/C][C]0[/C][C]0.01[/C][C]0.03[/C][C]0.04[/C][C]0.08[/C][C]0.09[/C][C]0.13[/C][C]0.15[/C][C]0.31[/C][C]0.07[/C][C]0.04[/C][C]0.05[/C][/ROW]
[C]7[/C][C]0.04[/C][C]0.02[/C][C]0.04[/C][C]0.16[/C][C]0.22[/C][C]0.4[/C][C]0.45[/C][C]0.65[/C][C]0.74[/C][C]1.53[/C][C]0.34[/C][C]0.2[/C][C]0.23[/C][/ROW]
[C]8[/C][C]0.05[/C][C]0.03[/C][C]0.05[/C][C]0.23[/C][C]0.3[/C][C]0.55[/C][C]0.63[/C][C]0.91[/C][C]1.03[/C][C]2.14[/C][C]0.48[/C][C]0.28[/C][C]0.33[/C][/ROW]
[C]9[/C][C]0.04[/C][C]0.02[/C][C]0.04[/C][C]0.19[/C][C]0.26[/C][C]0.47[/C][C]0.54[/C][C]0.78[/C][C]0.88[/C][C]1.83[/C][C]0.41[/C][C]0.24[/C][C]0.28[/C][/ROW]
[C]10[/C][C]0.08[/C][C]0.04[/C][C]0.08[/C][C]0.36[/C][C]0.47[/C][C]0.87[/C][C]0.99[/C][C]1.42[/C][C]1.62[/C][C]3.36[/C][C]0.75[/C][C]0.44[/C][C]0.51[/C][/ROW]
[C]11[/C][C]0.07[/C][C]0.04[/C][C]0.07[/C][C]0.32[/C][C]0.43[/C][C]0.79[/C][C]0.9[/C][C]1.29[/C][C]1.47[/C][C]3.06[/C][C]0.68[/C][C]0.4[/C][C]0.47[/C][/ROW]
[C]12[/C][C]0.14[/C][C]0.07[/C][C]0.14[/C][C]0.62[/C][C]0.82[/C][C]1.5[/C][C]1.71[/C][C]2.46[/C][C]2.8[/C][C]5.81[/C][C]1.3[/C][C]0.75[/C][C]0.89[/C][/ROW]
[C]13[/C][C]0.15[/C][C]0.08[/C][C]0.15[/C][C]0.68[/C][C]0.91[/C][C]1.66[/C][C]1.89[/C][C]2.72[/C][C]3.1[/C][C]6.42[/C][C]1.44[/C][C]0.83[/C][C]0.98[/C][/ROW]
[C]14[/C][C]0.28[/C][C]0.14[/C][C]0.28[/C][C]1.26[/C][C]1.68[/C][C]3.09[/C][C]3.51[/C][C]5.05[/C][C]5.75[/C][C]11.92[/C][C]2.67[/C][C]1.54[/C][C]1.82[/C][/ROW]
[C]15[/C][C]0.31[/C][C]0.15[/C][C]0.31[/C][C]1.39[/C][C]1.86[/C][C]3.4[/C][C]3.87[/C][C]5.57[/C][C]6.34[/C][C]13.15[/C][C]2.94[/C][C]1.7[/C][C]2.01[/C][/ROW]
[C]16[/C][C]0.56[/C][C]0.28[/C][C]0.56[/C][C]2.53[/C][C]3.37[/C][C]6.17[/C][C]7.01[/C][C]10.1[/C][C]11.5[/C][C]23.85[/C][C]5.33[/C][C]3.09[/C][C]3.65[/C][/ROW]
[C]17[/C][C]0.12[/C][C]0.06[/C][C]0.12[/C][C]0.52[/C][C]0.69[/C][C]1.27[/C][C]1.44[/C][C]2.07[/C][C]2.36[/C][C]4.89[/C][C]1.09[/C][C]0.63[/C][C]0.75[/C][/ROW]
[C]18[/C][C]0.06[/C][C]0.03[/C][C]0.06[/C][C]0.26[/C][C]0.35[/C][C]0.63[/C][C]0.72[/C][C]1.04[/C][C]1.18[/C][C]2.45[/C][C]0.55[/C][C]0.32[/C][C]0.37[/C][/ROW]
[C]19[/C][C]0.06[/C][C]0.03[/C][C]0.06[/C][C]0.26[/C][C]0.35[/C][C]0.63[/C][C]0.72[/C][C]1.04[/C][C]1.18[/C][C]2.45[/C][C]0.55[/C][C]0.32[/C][C]0.37[/C][/ROW]
[C]20[/C][C]0.04[/C][C]0.02[/C][C]0.04[/C][C]0.19[/C][C]0.26[/C][C]0.47[/C][C]0.54[/C][C]0.78[/C][C]0.88[/C][C]1.83[/C][C]0.41[/C][C]0.24[/C][C]0.28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266677&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266677&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
CONFSTATTOT x CONFSOFTTOT
	3	4	5	6	7	8	9	10	11	12	13	14	15
6	0.01	0	0.01	0.03	0.04	0.08	0.09	0.13	0.15	0.31	0.07	0.04	0.05
7	0.04	0.02	0.04	0.16	0.22	0.4	0.45	0.65	0.74	1.53	0.34	0.2	0.23
8	0.05	0.03	0.05	0.23	0.3	0.55	0.63	0.91	1.03	2.14	0.48	0.28	0.33
9	0.04	0.02	0.04	0.19	0.26	0.47	0.54	0.78	0.88	1.83	0.41	0.24	0.28
10	0.08	0.04	0.08	0.36	0.47	0.87	0.99	1.42	1.62	3.36	0.75	0.44	0.51
11	0.07	0.04	0.07	0.32	0.43	0.79	0.9	1.29	1.47	3.06	0.68	0.4	0.47
12	0.14	0.07	0.14	0.62	0.82	1.5	1.71	2.46	2.8	5.81	1.3	0.75	0.89
13	0.15	0.08	0.15	0.68	0.91	1.66	1.89	2.72	3.1	6.42	1.44	0.83	0.98
14	0.28	0.14	0.28	1.26	1.68	3.09	3.51	5.05	5.75	11.92	2.67	1.54	1.82
15	0.31	0.15	0.31	1.39	1.86	3.4	3.87	5.57	6.34	13.15	2.94	1.7	2.01
16	0.56	0.28	0.56	2.53	3.37	6.17	7.01	10.1	11.5	23.85	5.33	3.09	3.65
17	0.12	0.06	0.12	0.52	0.69	1.27	1.44	2.07	2.36	4.89	1.09	0.63	0.75
18	0.06	0.03	0.06	0.26	0.35	0.63	0.72	1.04	1.18	2.45	0.55	0.32	0.37
19	0.06	0.03	0.06	0.26	0.35	0.63	0.72	1.04	1.18	2.45	0.55	0.32	0.37
20	0.04	0.02	0.04	0.19	0.26	0.47	0.54	0.78	0.88	1.83	0.41	0.24	0.28

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	503.12
Degrees of Freedom	168
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 503.12 \tabularnewline
Degrees of Freedom & 168 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266677&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]503.12[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]168[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266677&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266677&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	503.12
Degrees of Freedom	168
P value	0

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