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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

Sun, 14 Dec 2014 14:45:31 +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/14/t1418568339utguutr3hjmzww1.htm/, Retrieved Fri, 17 May 2024 00:04:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267642, Retrieved Fri, 17 May 2024 00:04:57 +0000

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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 14:45:31] [6baf0af87d9d8aa2cb91b54f39a0a5b0] [Current]

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Dataseries X:

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Histogram

Boxplots

26 50 0 21 13 12 13 13 21
57 62 1 22 8 8 13 16 22
37 54 0 21 14 11 11 11 22
67 71 1 21 16 13 14 10 18
43 54 1 21 14 11 15 9 23
52 65 1 21 13 10 14 8 12
52 73 0 21 15 7 11 26 20
43 52 1 23 13 10 13 10 22
84 84 1 22 20 15 16 10 21
67 42 1 25 17 12 14 8 19
49 66 1 21 15 12 14 13 22
70 65 1 23 16 10 15 11 15
52 78 1 22 12 10 15 8 20
58 73 0 21 17 14 13 12 19
68 75 0 21 11 6 14 24 18
62 72 0 25 16 12 11 21 15
43 66 1 21 16 14 12 5 20
56 70 0 21 15 11 14 14 21
56 61 1 20 13 8 13 11 21
74 81 0 24 14 12 12 9 15
65 71 1 23 19 15 15 8 16
63 69 1 21 16 13 15 17 23
58 71 0 24 17 11 14 18 21
57 72 1 23 10 12 14 16 18
63 68 1 21 15 7 12 23 25
53 70 1 22 14 11 12 9 9
57 68 1 20 14 7 12 14 30
51 61 0 18 16 12 15 13 20
64 67 1 21 15 12 14 10 23
53 76 0 22 17 13 16 8 16
29 70 0 22 14 9 12 10 16
54 60 0 21 16 11 12 19 19
58 72 1 21 15 12 14 11 25
43 69 1 25 16 15 16 16 18
51 71 1 22 16 12 15 12 23
53 62 1 22 10 6 12 11 21
54 70 0 20 8 5 14 11 10
56 64 1 21 17 13 13 10 14
61 58 1 21 14 11 14 13 22
47 76 0 21 10 6 16 14 26
39 52 1 22 14 12 12 8 23
48 59 1 21 12 10 14 11 23
50 68 1 24 16 6 15 11 24
35 76 1 22 16 12 13 13 24
30 65 1 22 16 11 16 15 18
68 67 0 21 8 6 16 15 23
49 59 1 22 16 12 12 16 15
61 69 1 19 15 12 12 12 19
67 76 0 22 8 8 16 12 16
47 63 1 23 13 10 12 17 25
56 75 1 20 14 11 15 14 23
50 63 1 20 13 7 12 15 17
43 60 1 23 16 12 13 12 19
67 73 1 20 19 13 12 13 21
62 63 1 23 19 14 14 7 18
57 70 1 21 14 12 14 8 27
41 75 0 22 15 6 11 16 21
54 66 1 21 13 14 10 20 13
45 63 0 21 10 10 12 14 8
48 63 1 19 16 12 11 10 29
61 64 1 22 15 11 16 16 28
56 70 0 21 11 10 14 11 23
41 75 0 21 9 7 14 26 21
43 61 1 21 16 12 15 9 19
53 60 0 21 12 7 15 15 19
44 62 1 21 12 12 14 12 20
66 73 0 21 14 12 13 21 18
58 61 1 22 14 10 11 20 19
46 66 1 22 13 10 16 20 17
37 64 0 18 15 12 12 10 19
51 59 0 21 17 12 15 15 25
51 64 0 23 14 12 14 10 19
56 60 0 19 11 8 15 16 22
66 56 1 19 9 10 14 9 23
37 78 0 21 7 5 13 17 14
59 53 1 21 13 10 6 10 28
42 67 0 21 15 10 12 19 16
38 59 1 21 12 12 12 13 24
66 66 0 20 15 11 14 8 20
34 68 0 19 14 9 14 11 12
53 71 1 21 16 12 15 9 24
49 66 0 19 14 11 11 12 22
55 73 0 19 13 10 13 10 12
49 72 0 19 16 12 14 9 22
59 71 1 20 13 10 16 14 20
40 59 0 19 16 9 13 14 10
58 64 1 19 16 11 14 10 23
60 66 1 19 16 12 16 8 17
63 78 0 20 10 7 11 13 22
56 68 0 19 12 11 13 9 24
54 73 0 18 12 12 13 14 18
52 62 1 19 12 6 15 8 21
34 65 1 21 12 9 12 16 20
69 68 1 18 19 15 13 14 20
32 65 0 18 14 10 12 14 22
48 60 1 19 13 11 14 8 19
67 71 0 21 16 12 14 11 20
58 65 1 20 15 12 16 11 26
57 68 1 24 12 12 15 13 23
42 64 1 22 8 11 14 12 24
64 74 1 21 10 9 13 13 21
58 69 1 21 16 11 14 9 21
66 76 0 19 16 12 15 10 19
26 68 1 19 10 12 14 12 8
61 72 1 20 18 14 12 11 17
52 67 1 18 12 8 7 13 20
51 63 0 19 16 10 12 17 11
55 59 0 19 10 9 15 15 8
50 73 0 20 14 10 12 15 15
60 66 0 21 12 9 13 14 18
56 62 0 18 11 10 11 10 18
63 69 0 19 15 12 14 15 19
61 66 1 19 7 11 13 14 19

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	'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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267642&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267642&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267642&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Tabulation of Results
AMS.E x STRESSTOT
	6	7	10	11	12	13	14	15	16
42	0	0	0	0	0	0	1	0	0
50	0	0	0	0	0	1	0	0	0
52	0	0	0	0	1	1	0	0	0
53	1	0	0	0	0	0	0	0	0
54	0	0	0	1	0	0	0	1	0
56	0	0	0	0	0	0	1	0	0
58	0	0	0	0	0	0	1	0	0
59	0	0	0	0	2	1	1	2	0
60	0	0	0	0	1	1	1	2	0
61	0	0	0	1	0	1	0	2	0
62	0	0	0	1	1	1	1	1	0
63	0	0	0	1	4	0	1	0	0
64	0	0	0	0	1	1	3	0	1
65	0	0	0	0	2	0	1	1	2
66	0	0	1	1	1	2	2	0	2
67	0	1	0	0	1	0	1	0	1
68	0	0	0	0	2	2	2	2	0
69	0	0	0	0	1	0	2	1	1
70	0	0	0	0	2	0	4	0	0
71	0	0	0	0	0	0	3	3	1
72	0	0	0	1	1	0	3	0	0
73	0	0	0	1	2	4	0	0	0
74	0	0	0	0	0	1	0	0	0
75	0	0	0	1	0	0	2	1	0
76	0	0	0	0	0	1	0	1	3
78	0	0	0	1	0	1	0	1	0
81	0	0	0	0	1	0	0	0	0
84	0	0	0	0	0	0	0	0	1

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
AMS.E  x  STRESSTOT \tabularnewline
  & 6 & 7 & 10 & 11 & 12 & 13 & 14 & 15 & 16 \tabularnewline
42 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
50 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
52 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \tabularnewline
53 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
54 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 \tabularnewline
56 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
58 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
59 & 0 & 0 & 0 & 0 & 2 & 1 & 1 & 2 & 0 \tabularnewline
60 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 2 & 0 \tabularnewline
61 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 2 & 0 \tabularnewline
62 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 \tabularnewline
63 & 0 & 0 & 0 & 1 & 4 & 0 & 1 & 0 & 0 \tabularnewline
64 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 0 & 1 \tabularnewline
65 & 0 & 0 & 0 & 0 & 2 & 0 & 1 & 1 & 2 \tabularnewline
66 & 0 & 0 & 1 & 1 & 1 & 2 & 2 & 0 & 2 \tabularnewline
67 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 \tabularnewline
68 & 0 & 0 & 0 & 0 & 2 & 2 & 2 & 2 & 0 \tabularnewline
69 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 1 & 1 \tabularnewline
70 & 0 & 0 & 0 & 0 & 2 & 0 & 4 & 0 & 0 \tabularnewline
71 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 3 & 1 \tabularnewline
72 & 0 & 0 & 0 & 1 & 1 & 0 & 3 & 0 & 0 \tabularnewline
73 & 0 & 0 & 0 & 1 & 2 & 4 & 0 & 0 & 0 \tabularnewline
74 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
75 & 0 & 0 & 0 & 1 & 0 & 0 & 2 & 1 & 0 \tabularnewline
76 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 3 \tabularnewline
78 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \tabularnewline
81 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
84 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267642&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]AMS.E  x  STRESSTOT[/C][/ROW]
[ROW][C] [/C][C]6[/C][C]7[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/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][/ROW]
[C]50[/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][/ROW]
[C]52[/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]53[/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]54[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]56[/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]
[C]58[/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]
[C]59[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]1[/C][C]2[/C][C]0[/C][/ROW]
[C]60[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][C]0[/C][/ROW]
[C]61[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][/ROW]
[C]62[/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]0[/C][/ROW]
[C]63[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]4[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]64[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]3[/C][C]0[/C][C]1[/C][/ROW]
[C]65[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]1[/C][C]2[/C][/ROW]
[C]66[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][C]2[/C][C]0[/C][C]2[/C][/ROW]
[C]67[/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][/ROW]
[C]68[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[C]69[/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][/ROW]
[C]70[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]4[/C][C]0[/C][C]0[/C][/ROW]
[C]71[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]3[/C][C]1[/C][/ROW]
[C]72[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]3[/C][C]0[/C][C]0[/C][/ROW]
[C]73[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]4[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]74[/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][/ROW]
[C]75[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][/ROW]
[C]76[/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]3[/C][/ROW]
[C]78[/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][/ROW]
[C]81[/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]84[/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][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267642&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267642&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
AMS.E x STRESSTOT
	6	7	10	11	12	13	14	15	16
42	0	0	0	0	0	0	1	0	0
50	0	0	0	0	0	1	0	0	0
52	0	0	0	0	1	1	0	0	0
53	1	0	0	0	0	0	0	0	0
54	0	0	0	1	0	0	0	1	0
56	0	0	0	0	0	0	1	0	0
58	0	0	0	0	0	0	1	0	0
59	0	0	0	0	2	1	1	2	0
60	0	0	0	0	1	1	1	2	0
61	0	0	0	1	0	1	0	2	0
62	0	0	0	1	1	1	1	1	0
63	0	0	0	1	4	0	1	0	0
64	0	0	0	0	1	1	3	0	1
65	0	0	0	0	2	0	1	1	2
66	0	0	1	1	1	2	2	0	2
67	0	1	0	0	1	0	1	0	1
68	0	0	0	0	2	2	2	2	0
69	0	0	0	0	1	0	2	1	1
70	0	0	0	0	2	0	4	0	0
71	0	0	0	0	0	0	3	3	1
72	0	0	0	1	1	0	3	0	0
73	0	0	0	1	2	4	0	0	0
74	0	0	0	0	0	1	0	0	0
75	0	0	0	1	0	0	2	1	0
76	0	0	0	0	0	1	0	1	3
78	0	0	0	1	0	1	0	1	0
81	0	0	0	0	1	0	0	0	0
84	0	0	0	0	0	0	0	0	1

Tabulation of Expected Results
AMS.E x STRESSTOT
	6	7	10	11	12	13	14	15	16
42	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
50	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
52	0.02	0.02	0.02	0.16	0.41	0.32	0.53	0.32	0.21
53	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
54	0.02	0.02	0.02	0.16	0.41	0.32	0.53	0.32	0.21
56	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
58	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
59	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
60	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
61	0.04	0.04	0.04	0.32	0.81	0.64	1.06	0.64	0.42
62	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
63	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
64	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
65	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
66	0.08	0.08	0.08	0.72	1.83	1.43	2.39	1.43	0.96
67	0.04	0.04	0.04	0.32	0.81	0.64	1.06	0.64	0.42
68	0.07	0.07	0.07	0.64	1.63	1.27	2.12	1.27	0.85
69	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
70	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
71	0.06	0.06	0.06	0.56	1.42	1.12	1.86	1.12	0.74
72	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
73	0.06	0.06	0.06	0.56	1.42	1.12	1.86	1.12	0.74
74	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
75	0.04	0.04	0.04	0.32	0.81	0.64	1.06	0.64	0.42
76	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
78	0.03	0.03	0.03	0.24	0.61	0.48	0.8	0.48	0.32
81	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
84	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
AMS.E  x  STRESSTOT \tabularnewline
  & 6 & 7 & 10 & 11 & 12 & 13 & 14 & 15 & 16 \tabularnewline
42 & 0.01 & 0.01 & 0.01 & 0.08 & 0.2 & 0.16 & 0.27 & 0.16 & 0.11 \tabularnewline
50 & 0.01 & 0.01 & 0.01 & 0.08 & 0.2 & 0.16 & 0.27 & 0.16 & 0.11 \tabularnewline
52 & 0.02 & 0.02 & 0.02 & 0.16 & 0.41 & 0.32 & 0.53 & 0.32 & 0.21 \tabularnewline
53 & 0.01 & 0.01 & 0.01 & 0.08 & 0.2 & 0.16 & 0.27 & 0.16 & 0.11 \tabularnewline
54 & 0.02 & 0.02 & 0.02 & 0.16 & 0.41 & 0.32 & 0.53 & 0.32 & 0.21 \tabularnewline
56 & 0.01 & 0.01 & 0.01 & 0.08 & 0.2 & 0.16 & 0.27 & 0.16 & 0.11 \tabularnewline
58 & 0.01 & 0.01 & 0.01 & 0.08 & 0.2 & 0.16 & 0.27 & 0.16 & 0.11 \tabularnewline
59 & 0.05 & 0.05 & 0.05 & 0.48 & 1.22 & 0.96 & 1.59 & 0.96 & 0.64 \tabularnewline
60 & 0.04 & 0.04 & 0.04 & 0.4 & 1.02 & 0.8 & 1.33 & 0.8 & 0.53 \tabularnewline
61 & 0.04 & 0.04 & 0.04 & 0.32 & 0.81 & 0.64 & 1.06 & 0.64 & 0.42 \tabularnewline
62 & 0.04 & 0.04 & 0.04 & 0.4 & 1.02 & 0.8 & 1.33 & 0.8 & 0.53 \tabularnewline
63 & 0.05 & 0.05 & 0.05 & 0.48 & 1.22 & 0.96 & 1.59 & 0.96 & 0.64 \tabularnewline
64 & 0.05 & 0.05 & 0.05 & 0.48 & 1.22 & 0.96 & 1.59 & 0.96 & 0.64 \tabularnewline
65 & 0.05 & 0.05 & 0.05 & 0.48 & 1.22 & 0.96 & 1.59 & 0.96 & 0.64 \tabularnewline
66 & 0.08 & 0.08 & 0.08 & 0.72 & 1.83 & 1.43 & 2.39 & 1.43 & 0.96 \tabularnewline
67 & 0.04 & 0.04 & 0.04 & 0.32 & 0.81 & 0.64 & 1.06 & 0.64 & 0.42 \tabularnewline
68 & 0.07 & 0.07 & 0.07 & 0.64 & 1.63 & 1.27 & 2.12 & 1.27 & 0.85 \tabularnewline
69 & 0.04 & 0.04 & 0.04 & 0.4 & 1.02 & 0.8 & 1.33 & 0.8 & 0.53 \tabularnewline
70 & 0.05 & 0.05 & 0.05 & 0.48 & 1.22 & 0.96 & 1.59 & 0.96 & 0.64 \tabularnewline
71 & 0.06 & 0.06 & 0.06 & 0.56 & 1.42 & 1.12 & 1.86 & 1.12 & 0.74 \tabularnewline
72 & 0.04 & 0.04 & 0.04 & 0.4 & 1.02 & 0.8 & 1.33 & 0.8 & 0.53 \tabularnewline
73 & 0.06 & 0.06 & 0.06 & 0.56 & 1.42 & 1.12 & 1.86 & 1.12 & 0.74 \tabularnewline
74 & 0.01 & 0.01 & 0.01 & 0.08 & 0.2 & 0.16 & 0.27 & 0.16 & 0.11 \tabularnewline
75 & 0.04 & 0.04 & 0.04 & 0.32 & 0.81 & 0.64 & 1.06 & 0.64 & 0.42 \tabularnewline
76 & 0.04 & 0.04 & 0.04 & 0.4 & 1.02 & 0.8 & 1.33 & 0.8 & 0.53 \tabularnewline
78 & 0.03 & 0.03 & 0.03 & 0.24 & 0.61 & 0.48 & 0.8 & 0.48 & 0.32 \tabularnewline
81 & 0.01 & 0.01 & 0.01 & 0.08 & 0.2 & 0.16 & 0.27 & 0.16 & 0.11 \tabularnewline
84 & 0.01 & 0.01 & 0.01 & 0.08 & 0.2 & 0.16 & 0.27 & 0.16 & 0.11 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267642&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]AMS.E  x  STRESSTOT[/C][/ROW]
[ROW][C] [/C][C]6[/C][C]7[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][/ROW]
[C]42[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.08[/C][C]0.2[/C][C]0.16[/C][C]0.27[/C][C]0.16[/C][C]0.11[/C][/ROW]
[C]50[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.08[/C][C]0.2[/C][C]0.16[/C][C]0.27[/C][C]0.16[/C][C]0.11[/C][/ROW]
[C]52[/C][C]0.02[/C][C]0.02[/C][C]0.02[/C][C]0.16[/C][C]0.41[/C][C]0.32[/C][C]0.53[/C][C]0.32[/C][C]0.21[/C][/ROW]
[C]53[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.08[/C][C]0.2[/C][C]0.16[/C][C]0.27[/C][C]0.16[/C][C]0.11[/C][/ROW]
[C]54[/C][C]0.02[/C][C]0.02[/C][C]0.02[/C][C]0.16[/C][C]0.41[/C][C]0.32[/C][C]0.53[/C][C]0.32[/C][C]0.21[/C][/ROW]
[C]56[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.08[/C][C]0.2[/C][C]0.16[/C][C]0.27[/C][C]0.16[/C][C]0.11[/C][/ROW]
[C]58[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.08[/C][C]0.2[/C][C]0.16[/C][C]0.27[/C][C]0.16[/C][C]0.11[/C][/ROW]
[C]59[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.48[/C][C]1.22[/C][C]0.96[/C][C]1.59[/C][C]0.96[/C][C]0.64[/C][/ROW]
[C]60[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.4[/C][C]1.02[/C][C]0.8[/C][C]1.33[/C][C]0.8[/C][C]0.53[/C][/ROW]
[C]61[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.32[/C][C]0.81[/C][C]0.64[/C][C]1.06[/C][C]0.64[/C][C]0.42[/C][/ROW]
[C]62[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.4[/C][C]1.02[/C][C]0.8[/C][C]1.33[/C][C]0.8[/C][C]0.53[/C][/ROW]
[C]63[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.48[/C][C]1.22[/C][C]0.96[/C][C]1.59[/C][C]0.96[/C][C]0.64[/C][/ROW]
[C]64[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.48[/C][C]1.22[/C][C]0.96[/C][C]1.59[/C][C]0.96[/C][C]0.64[/C][/ROW]
[C]65[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.48[/C][C]1.22[/C][C]0.96[/C][C]1.59[/C][C]0.96[/C][C]0.64[/C][/ROW]
[C]66[/C][C]0.08[/C][C]0.08[/C][C]0.08[/C][C]0.72[/C][C]1.83[/C][C]1.43[/C][C]2.39[/C][C]1.43[/C][C]0.96[/C][/ROW]
[C]67[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.32[/C][C]0.81[/C][C]0.64[/C][C]1.06[/C][C]0.64[/C][C]0.42[/C][/ROW]
[C]68[/C][C]0.07[/C][C]0.07[/C][C]0.07[/C][C]0.64[/C][C]1.63[/C][C]1.27[/C][C]2.12[/C][C]1.27[/C][C]0.85[/C][/ROW]
[C]69[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.4[/C][C]1.02[/C][C]0.8[/C][C]1.33[/C][C]0.8[/C][C]0.53[/C][/ROW]
[C]70[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.48[/C][C]1.22[/C][C]0.96[/C][C]1.59[/C][C]0.96[/C][C]0.64[/C][/ROW]
[C]71[/C][C]0.06[/C][C]0.06[/C][C]0.06[/C][C]0.56[/C][C]1.42[/C][C]1.12[/C][C]1.86[/C][C]1.12[/C][C]0.74[/C][/ROW]
[C]72[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.4[/C][C]1.02[/C][C]0.8[/C][C]1.33[/C][C]0.8[/C][C]0.53[/C][/ROW]
[C]73[/C][C]0.06[/C][C]0.06[/C][C]0.06[/C][C]0.56[/C][C]1.42[/C][C]1.12[/C][C]1.86[/C][C]1.12[/C][C]0.74[/C][/ROW]
[C]74[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.08[/C][C]0.2[/C][C]0.16[/C][C]0.27[/C][C]0.16[/C][C]0.11[/C][/ROW]
[C]75[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.32[/C][C]0.81[/C][C]0.64[/C][C]1.06[/C][C]0.64[/C][C]0.42[/C][/ROW]
[C]76[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.4[/C][C]1.02[/C][C]0.8[/C][C]1.33[/C][C]0.8[/C][C]0.53[/C][/ROW]
[C]78[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.24[/C][C]0.61[/C][C]0.48[/C][C]0.8[/C][C]0.48[/C][C]0.32[/C][/ROW]
[C]81[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.08[/C][C]0.2[/C][C]0.16[/C][C]0.27[/C][C]0.16[/C][C]0.11[/C][/ROW]
[C]84[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.08[/C][C]0.2[/C][C]0.16[/C][C]0.27[/C][C]0.16[/C][C]0.11[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267642&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267642&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
AMS.E x STRESSTOT
	6	7	10	11	12	13	14	15	16
42	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
50	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
52	0.02	0.02	0.02	0.16	0.41	0.32	0.53	0.32	0.21
53	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
54	0.02	0.02	0.02	0.16	0.41	0.32	0.53	0.32	0.21
56	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
58	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
59	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
60	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
61	0.04	0.04	0.04	0.32	0.81	0.64	1.06	0.64	0.42
62	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
63	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
64	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
65	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
66	0.08	0.08	0.08	0.72	1.83	1.43	2.39	1.43	0.96
67	0.04	0.04	0.04	0.32	0.81	0.64	1.06	0.64	0.42
68	0.07	0.07	0.07	0.64	1.63	1.27	2.12	1.27	0.85
69	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
70	0.05	0.05	0.05	0.48	1.22	0.96	1.59	0.96	0.64
71	0.06	0.06	0.06	0.56	1.42	1.12	1.86	1.12	0.74
72	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
73	0.06	0.06	0.06	0.56	1.42	1.12	1.86	1.12	0.74
74	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
75	0.04	0.04	0.04	0.32	0.81	0.64	1.06	0.64	0.42
76	0.04	0.04	0.04	0.4	1.02	0.8	1.33	0.8	0.53
78	0.03	0.03	0.03	0.24	0.61	0.48	0.8	0.48	0.32
81	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11
84	0.01	0.01	0.01	0.08	0.2	0.16	0.27	0.16	0.11

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	291.01
P value	0.08

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Exact Pearson Chi Square Statistic & 291.01 \tabularnewline
P value & 0.08 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267642&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Exact Pearson Chi Square Statistic[/C][C]291.01[/C][/ROW]
[ROW][C]P value[/C][C]0.08[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267642&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267642&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 with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	291.01
P value	0.08

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

par1 = 2 ; par2 = 7 ; par3 = Exact Pearson Chi-Squared by Simulation ;

R code (references can be found in the software module):

par3 <- 'Exact Pearson Chi-Squared by Simulation'
par2 <- '7'
par1 <- '2'
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