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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

Mon, 22 Oct 2012 13:37:46 -0400

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/2012/Oct/22/t13509275834s0gorfx8ajvqxp.htm/, Retrieved Fri, 03 May 2024 18:50:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=181926, Retrieved Fri, 03 May 2024 18:50:54 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

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] [] [2012-10-22 17:37:46] [311e8979fc66fc3b169c8163f1497ef3] [Current]

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Dataseries X:

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Histogram

Boxplots

33	37	14	15
33	33	15	14
34	33	11	13
31	28	16	9
27	32	13	15
37	31	17	10
34	37	15	11
34	30	14	13
32	33	16	8
29	31	9	20
36	33	15	12
29	31	17	10
35	33	13	10
37	32	15	9
34	33	16	14
38	32	16	8
35	33	12	14
38	28	12	11
37	35	11	13
38	39	15	9
33	34	15	11
36	38	17	15
38	32	13	11
32	38	16	10
32	30	14	14
32	33	11	18
34	38	12	14
32	32	12	11
37	32	15	12
39	34	16	13
29	34	15	9
37	36	12	10
35	34	12	15
30	28	8	20
38	34	13	12
34	35	11	12
31	35	14	14
34	31	15	13
35	37	10	11
36	35	11	17
30	27	12	12
39	40	15	13
35	37	15	14
38	36	14	13
31	38	16	15
34	39	15	13
38	41	15	10
34	27	13	11
39	30	12	19
37	37	17	13
34	31	13	17
28	31	15	13
37	27	13	9
33	36	15	11
37	38	16	10
35	37	15	9
37	33	16	12
32	34	15	12
33	31	14	13
38	39	15	13
33	34	14	12
29	32	13	15
33	33	7	22
31	36	17	13
36	32	13	15
35	41	15	13
32	28	14	15
29	30	13	10
39	36	16	11
37	35	12	16
35	31	14	11
37	34	17	11
32	36	15	10
38	36	17	10
37	35	12	16
36	37	16	12
32	28	11	11
33	39	15	16
40	32	9	19
38	35	16	11
41	39	15	16
36	35	10	15
43	42	10	24
30	34	15	14
31	33	11	15
32	41	13	11
32	33	14	15
37	34	18	12
37	32	16	10
33	40	14	14
34	40	14	13
33	35	14	9
38	36	14	15
33	37	12	15
31	27	14	14
38	39	15	11
37	38	15	8
33	31	15	11
31	33	13	11
39	32	17	8
44	39	17	10
33	36	19	11
35	33	15	13
32	33	13	11
28	32	9	20
40	37	15	10
27	30	15	15
37	38	15	12
32	29	16	14
28	22	11	23
34	35	14	14
30	35	11	16
35	34	15	11
31	35	13	12
32	34	15	10
30	34	16	14
30	35	14	12
31	23	15	12
40	31	16	11
32	27	16	12
36	36	11	13
32	31	12	11
35	32	9	19
38	39	13	12
42	37	13	17
34	38	16	9
35	39	12	12
35	34	9	19
33	31	13	18
36	32	13	15
32	37	14	14
33	36	19	11
34	32	13	9
32	35	12	18
34	36	13	16

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=181926&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=181926&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181926&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
con x hap
	7	8	9	10	11	12	13	14	15	16	17	18	19
27	0	0	0	0	0	0	1	0	1	0	0	0	0
28	0	0	1	0	1	0	0	0	1	0	0	0	0
29	0	0	1	0	0	0	2	0	1	0	1	0	0
30	0	1	0	0	1	1	0	1	1	1	0	0	0
31	0	0	0	0	1	0	2	2	1	2	1	0	0
32	0	0	0	0	2	3	2	4	3	4	0	0	0
33	1	0	0	0	0	1	1	5	5	0	0	0	2
34	0	0	0	0	2	1	4	3	3	2	0	0	0
35	0	0	2	1	0	3	1	1	5	0	0	0	0
36	0	0	0	1	2	0	2	0	1	1	1	0	0
37	0	0	0	0	1	3	1	0	4	3	3	1	0
38	0	0	0	0	0	1	3	2	4	2	1	0	0
39	0	0	0	0	0	1	0	0	1	2	1	0	0
40	0	0	1	0	0	0	0	0	1	1	0	0	0
41	0	0	0	0	0	0	0	0	1	0	0	0	0
42	0	0	0	0	0	0	1	0	0	0	0	0	0
43	0	0	0	1	0	0	0	0	0	0	0	0	0
44	0	0	0	0	0	0	0	0	0	0	1	0	0

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
con  x  hap \tabularnewline
  & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \tabularnewline
27 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
28 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
29 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 0 & 1 & 0 & 1 & 0 & 0 \tabularnewline
30 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \tabularnewline
31 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 2 & 1 & 2 & 1 & 0 & 0 \tabularnewline
32 & 0 & 0 & 0 & 0 & 2 & 3 & 2 & 4 & 3 & 4 & 0 & 0 & 0 \tabularnewline
33 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & 5 & 5 & 0 & 0 & 0 & 2 \tabularnewline
34 & 0 & 0 & 0 & 0 & 2 & 1 & 4 & 3 & 3 & 2 & 0 & 0 & 0 \tabularnewline
35 & 0 & 0 & 2 & 1 & 0 & 3 & 1 & 1 & 5 & 0 & 0 & 0 & 0 \tabularnewline
36 & 0 & 0 & 0 & 1 & 2 & 0 & 2 & 0 & 1 & 1 & 1 & 0 & 0 \tabularnewline
37 & 0 & 0 & 0 & 0 & 1 & 3 & 1 & 0 & 4 & 3 & 3 & 1 & 0 \tabularnewline
38 & 0 & 0 & 0 & 0 & 0 & 1 & 3 & 2 & 4 & 2 & 1 & 0 & 0 \tabularnewline
39 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 2 & 1 & 0 & 0 \tabularnewline
40 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \tabularnewline
41 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
42 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
43 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
44 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181926&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]con  x  hap[/C][/ROW]
[ROW][C] [/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][/ROW]
[C]27[/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][/ROW]
[C]28[/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]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]29[/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]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]30[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]31[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]2[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]32[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]3[/C][C]2[/C][C]4[/C][C]3[/C][C]4[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]33[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]5[/C][C]5[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][/ROW]
[C]34[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]4[/C][C]3[/C][C]3[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]35[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]3[/C][C]1[/C][C]1[/C][C]5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]36[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]37[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]1[/C][C]0[/C][C]4[/C][C]3[/C][C]3[/C][C]1[/C][C]0[/C][/ROW]
[C]38[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]2[/C][C]4[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]39[/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]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]40[/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]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]41[/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][/ROW]
[C]42[/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][/ROW]
[C]43[/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]44[/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][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181926&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181926&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
con x hap
	7	8	9	10	11	12	13	14	15	16	17	18	19
27	0	0	0	0	0	0	1	0	1	0	0	0	0
28	0	0	1	0	1	0	0	0	1	0	0	0	0
29	0	0	1	0	0	0	2	0	1	0	1	0	0
30	0	1	0	0	1	1	0	1	1	1	0	0	0
31	0	0	0	0	1	0	2	2	1	2	1	0	0
32	0	0	0	0	2	3	2	4	3	4	0	0	0
33	1	0	0	0	0	1	1	5	5	0	0	0	2
34	0	0	0	0	2	1	4	3	3	2	0	0	0
35	0	0	2	1	0	3	1	1	5	0	0	0	0
36	0	0	0	1	2	0	2	0	1	1	1	0	0
37	0	0	0	0	1	3	1	0	4	3	3	1	0
38	0	0	0	0	0	1	3	2	4	2	1	0	0
39	0	0	0	0	0	1	0	0	1	2	1	0	0
40	0	0	1	0	0	0	0	0	1	1	0	0	0
41	0	0	0	0	0	0	0	0	1	0	0	0	0
42	0	0	0	0	0	0	1	0	0	0	0	0	0
43	0	0	0	1	0	0	0	0	0	0	0	0	0
44	0	0	0	0	0	0	0	0	0	0	1	0	0

Tabulation of Expected Results
con x hap
	7	8	9	10	11	12	13	14	15	16	17	18	19
27	0.01	0.01	0.07	0.04	0.15	0.21	0.3	0.27	0.49	0.27	0.13	0.01	0.03
28	0.02	0.02	0.11	0.07	0.22	0.31	0.44	0.4	0.73	0.4	0.2	0.02	0.04
29	0.04	0.04	0.19	0.11	0.37	0.52	0.74	0.67	1.22	0.67	0.33	0.04	0.07
30	0.04	0.04	0.22	0.13	0.44	0.62	0.89	0.8	1.47	0.8	0.4	0.04	0.09
31	0.07	0.07	0.33	0.2	0.67	0.93	1.33	1.2	2.2	1.2	0.6	0.07	0.13
32	0.13	0.13	0.67	0.4	1.33	1.87	2.67	2.4	4.4	2.4	1.2	0.13	0.27
33	0.11	0.11	0.56	0.33	1.11	1.56	2.22	2	3.67	2	1	0.11	0.22
34	0.11	0.11	0.56	0.33	1.11	1.56	2.22	2	3.67	2	1	0.11	0.22
35	0.1	0.1	0.48	0.29	0.96	1.35	1.93	1.73	3.18	1.73	0.87	0.1	0.19
36	0.06	0.06	0.3	0.18	0.59	0.83	1.19	1.07	1.96	1.07	0.53	0.06	0.12
37	0.12	0.12	0.59	0.36	1.19	1.66	2.37	2.13	3.91	2.13	1.07	0.12	0.24
38	0.1	0.1	0.48	0.29	0.96	1.35	1.93	1.73	3.18	1.73	0.87	0.1	0.19
39	0.04	0.04	0.19	0.11	0.37	0.52	0.74	0.67	1.22	0.67	0.33	0.04	0.07
40	0.02	0.02	0.11	0.07	0.22	0.31	0.44	0.4	0.73	0.4	0.2	0.02	0.04
41	0.01	0.01	0.04	0.02	0.07	0.1	0.15	0.13	0.24	0.13	0.07	0.01	0.01
42	0.01	0.01	0.04	0.02	0.07	0.1	0.15	0.13	0.24	0.13	0.07	0.01	0.01
43	0.01	0.01	0.04	0.02	0.07	0.1	0.15	0.13	0.24	0.13	0.07	0.01	0.01
44	0.01	0.01	0.04	0.02	0.07	0.1	0.15	0.13	0.24	0.13	0.07	0.01	0.01

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
con  x  hap \tabularnewline
  & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \tabularnewline
27 & 0.01 & 0.01 & 0.07 & 0.04 & 0.15 & 0.21 & 0.3 & 0.27 & 0.49 & 0.27 & 0.13 & 0.01 & 0.03 \tabularnewline
28 & 0.02 & 0.02 & 0.11 & 0.07 & 0.22 & 0.31 & 0.44 & 0.4 & 0.73 & 0.4 & 0.2 & 0.02 & 0.04 \tabularnewline
29 & 0.04 & 0.04 & 0.19 & 0.11 & 0.37 & 0.52 & 0.74 & 0.67 & 1.22 & 0.67 & 0.33 & 0.04 & 0.07 \tabularnewline
30 & 0.04 & 0.04 & 0.22 & 0.13 & 0.44 & 0.62 & 0.89 & 0.8 & 1.47 & 0.8 & 0.4 & 0.04 & 0.09 \tabularnewline
31 & 0.07 & 0.07 & 0.33 & 0.2 & 0.67 & 0.93 & 1.33 & 1.2 & 2.2 & 1.2 & 0.6 & 0.07 & 0.13 \tabularnewline
32 & 0.13 & 0.13 & 0.67 & 0.4 & 1.33 & 1.87 & 2.67 & 2.4 & 4.4 & 2.4 & 1.2 & 0.13 & 0.27 \tabularnewline
33 & 0.11 & 0.11 & 0.56 & 0.33 & 1.11 & 1.56 & 2.22 & 2 & 3.67 & 2 & 1 & 0.11 & 0.22 \tabularnewline
34 & 0.11 & 0.11 & 0.56 & 0.33 & 1.11 & 1.56 & 2.22 & 2 & 3.67 & 2 & 1 & 0.11 & 0.22 \tabularnewline
35 & 0.1 & 0.1 & 0.48 & 0.29 & 0.96 & 1.35 & 1.93 & 1.73 & 3.18 & 1.73 & 0.87 & 0.1 & 0.19 \tabularnewline
36 & 0.06 & 0.06 & 0.3 & 0.18 & 0.59 & 0.83 & 1.19 & 1.07 & 1.96 & 1.07 & 0.53 & 0.06 & 0.12 \tabularnewline
37 & 0.12 & 0.12 & 0.59 & 0.36 & 1.19 & 1.66 & 2.37 & 2.13 & 3.91 & 2.13 & 1.07 & 0.12 & 0.24 \tabularnewline
38 & 0.1 & 0.1 & 0.48 & 0.29 & 0.96 & 1.35 & 1.93 & 1.73 & 3.18 & 1.73 & 0.87 & 0.1 & 0.19 \tabularnewline
39 & 0.04 & 0.04 & 0.19 & 0.11 & 0.37 & 0.52 & 0.74 & 0.67 & 1.22 & 0.67 & 0.33 & 0.04 & 0.07 \tabularnewline
40 & 0.02 & 0.02 & 0.11 & 0.07 & 0.22 & 0.31 & 0.44 & 0.4 & 0.73 & 0.4 & 0.2 & 0.02 & 0.04 \tabularnewline
41 & 0.01 & 0.01 & 0.04 & 0.02 & 0.07 & 0.1 & 0.15 & 0.13 & 0.24 & 0.13 & 0.07 & 0.01 & 0.01 \tabularnewline
42 & 0.01 & 0.01 & 0.04 & 0.02 & 0.07 & 0.1 & 0.15 & 0.13 & 0.24 & 0.13 & 0.07 & 0.01 & 0.01 \tabularnewline
43 & 0.01 & 0.01 & 0.04 & 0.02 & 0.07 & 0.1 & 0.15 & 0.13 & 0.24 & 0.13 & 0.07 & 0.01 & 0.01 \tabularnewline
44 & 0.01 & 0.01 & 0.04 & 0.02 & 0.07 & 0.1 & 0.15 & 0.13 & 0.24 & 0.13 & 0.07 & 0.01 & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181926&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]con  x  hap[/C][/ROW]
[ROW][C] [/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][/ROW]
[C]27[/C][C]0.01[/C][C]0.01[/C][C]0.07[/C][C]0.04[/C][C]0.15[/C][C]0.21[/C][C]0.3[/C][C]0.27[/C][C]0.49[/C][C]0.27[/C][C]0.13[/C][C]0.01[/C][C]0.03[/C][/ROW]
[C]28[/C][C]0.02[/C][C]0.02[/C][C]0.11[/C][C]0.07[/C][C]0.22[/C][C]0.31[/C][C]0.44[/C][C]0.4[/C][C]0.73[/C][C]0.4[/C][C]0.2[/C][C]0.02[/C][C]0.04[/C][/ROW]
[C]29[/C][C]0.04[/C][C]0.04[/C][C]0.19[/C][C]0.11[/C][C]0.37[/C][C]0.52[/C][C]0.74[/C][C]0.67[/C][C]1.22[/C][C]0.67[/C][C]0.33[/C][C]0.04[/C][C]0.07[/C][/ROW]
[C]30[/C][C]0.04[/C][C]0.04[/C][C]0.22[/C][C]0.13[/C][C]0.44[/C][C]0.62[/C][C]0.89[/C][C]0.8[/C][C]1.47[/C][C]0.8[/C][C]0.4[/C][C]0.04[/C][C]0.09[/C][/ROW]
[C]31[/C][C]0.07[/C][C]0.07[/C][C]0.33[/C][C]0.2[/C][C]0.67[/C][C]0.93[/C][C]1.33[/C][C]1.2[/C][C]2.2[/C][C]1.2[/C][C]0.6[/C][C]0.07[/C][C]0.13[/C][/ROW]
[C]32[/C][C]0.13[/C][C]0.13[/C][C]0.67[/C][C]0.4[/C][C]1.33[/C][C]1.87[/C][C]2.67[/C][C]2.4[/C][C]4.4[/C][C]2.4[/C][C]1.2[/C][C]0.13[/C][C]0.27[/C][/ROW]
[C]33[/C][C]0.11[/C][C]0.11[/C][C]0.56[/C][C]0.33[/C][C]1.11[/C][C]1.56[/C][C]2.22[/C][C]2[/C][C]3.67[/C][C]2[/C][C]1[/C][C]0.11[/C][C]0.22[/C][/ROW]
[C]34[/C][C]0.11[/C][C]0.11[/C][C]0.56[/C][C]0.33[/C][C]1.11[/C][C]1.56[/C][C]2.22[/C][C]2[/C][C]3.67[/C][C]2[/C][C]1[/C][C]0.11[/C][C]0.22[/C][/ROW]
[C]35[/C][C]0.1[/C][C]0.1[/C][C]0.48[/C][C]0.29[/C][C]0.96[/C][C]1.35[/C][C]1.93[/C][C]1.73[/C][C]3.18[/C][C]1.73[/C][C]0.87[/C][C]0.1[/C][C]0.19[/C][/ROW]
[C]36[/C][C]0.06[/C][C]0.06[/C][C]0.3[/C][C]0.18[/C][C]0.59[/C][C]0.83[/C][C]1.19[/C][C]1.07[/C][C]1.96[/C][C]1.07[/C][C]0.53[/C][C]0.06[/C][C]0.12[/C][/ROW]
[C]37[/C][C]0.12[/C][C]0.12[/C][C]0.59[/C][C]0.36[/C][C]1.19[/C][C]1.66[/C][C]2.37[/C][C]2.13[/C][C]3.91[/C][C]2.13[/C][C]1.07[/C][C]0.12[/C][C]0.24[/C][/ROW]
[C]38[/C][C]0.1[/C][C]0.1[/C][C]0.48[/C][C]0.29[/C][C]0.96[/C][C]1.35[/C][C]1.93[/C][C]1.73[/C][C]3.18[/C][C]1.73[/C][C]0.87[/C][C]0.1[/C][C]0.19[/C][/ROW]
[C]39[/C][C]0.04[/C][C]0.04[/C][C]0.19[/C][C]0.11[/C][C]0.37[/C][C]0.52[/C][C]0.74[/C][C]0.67[/C][C]1.22[/C][C]0.67[/C][C]0.33[/C][C]0.04[/C][C]0.07[/C][/ROW]
[C]40[/C][C]0.02[/C][C]0.02[/C][C]0.11[/C][C]0.07[/C][C]0.22[/C][C]0.31[/C][C]0.44[/C][C]0.4[/C][C]0.73[/C][C]0.4[/C][C]0.2[/C][C]0.02[/C][C]0.04[/C][/ROW]
[C]41[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.07[/C][C]0.1[/C][C]0.15[/C][C]0.13[/C][C]0.24[/C][C]0.13[/C][C]0.07[/C][C]0.01[/C][C]0.01[/C][/ROW]
[C]42[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.07[/C][C]0.1[/C][C]0.15[/C][C]0.13[/C][C]0.24[/C][C]0.13[/C][C]0.07[/C][C]0.01[/C][C]0.01[/C][/ROW]
[C]43[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.07[/C][C]0.1[/C][C]0.15[/C][C]0.13[/C][C]0.24[/C][C]0.13[/C][C]0.07[/C][C]0.01[/C][C]0.01[/C][/ROW]
[C]44[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.07[/C][C]0.1[/C][C]0.15[/C][C]0.13[/C][C]0.24[/C][C]0.13[/C][C]0.07[/C][C]0.01[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181926&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181926&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
con x hap
	7	8	9	10	11	12	13	14	15	16	17	18	19
27	0.01	0.01	0.07	0.04	0.15	0.21	0.3	0.27	0.49	0.27	0.13	0.01	0.03
28	0.02	0.02	0.11	0.07	0.22	0.31	0.44	0.4	0.73	0.4	0.2	0.02	0.04
29	0.04	0.04	0.19	0.11	0.37	0.52	0.74	0.67	1.22	0.67	0.33	0.04	0.07
30	0.04	0.04	0.22	0.13	0.44	0.62	0.89	0.8	1.47	0.8	0.4	0.04	0.09
31	0.07	0.07	0.33	0.2	0.67	0.93	1.33	1.2	2.2	1.2	0.6	0.07	0.13
32	0.13	0.13	0.67	0.4	1.33	1.87	2.67	2.4	4.4	2.4	1.2	0.13	0.27
33	0.11	0.11	0.56	0.33	1.11	1.56	2.22	2	3.67	2	1	0.11	0.22
34	0.11	0.11	0.56	0.33	1.11	1.56	2.22	2	3.67	2	1	0.11	0.22
35	0.1	0.1	0.48	0.29	0.96	1.35	1.93	1.73	3.18	1.73	0.87	0.1	0.19
36	0.06	0.06	0.3	0.18	0.59	0.83	1.19	1.07	1.96	1.07	0.53	0.06	0.12
37	0.12	0.12	0.59	0.36	1.19	1.66	2.37	2.13	3.91	2.13	1.07	0.12	0.24
38	0.1	0.1	0.48	0.29	0.96	1.35	1.93	1.73	3.18	1.73	0.87	0.1	0.19
39	0.04	0.04	0.19	0.11	0.37	0.52	0.74	0.67	1.22	0.67	0.33	0.04	0.07
40	0.02	0.02	0.11	0.07	0.22	0.31	0.44	0.4	0.73	0.4	0.2	0.02	0.04
41	0.01	0.01	0.04	0.02	0.07	0.1	0.15	0.13	0.24	0.13	0.07	0.01	0.01
42	0.01	0.01	0.04	0.02	0.07	0.1	0.15	0.13	0.24	0.13	0.07	0.01	0.01
43	0.01	0.01	0.04	0.02	0.07	0.1	0.15	0.13	0.24	0.13	0.07	0.01	0.01
44	0.01	0.01	0.04	0.02	0.07	0.1	0.15	0.13	0.24	0.13	0.07	0.01	0.01

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	225.26
Degrees of Freedom	204
P value	0.15

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 225.26 \tabularnewline
Degrees of Freedom & 204 \tabularnewline
P value & 0.15 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181926&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]225.26[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]204[/C][/ROW]
[ROW][C]P value[/C][C]0.15[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181926&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181926&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	225.26
Degrees of Freedom	204
P value	0.15

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 3 ; par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 1 ; par2 = 3 ; 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