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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

Sun, 14 Dec 2014 14:42:24 +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/t14185681632m4e2b532v34anp.htm/, Retrieved Thu, 16 May 2024 09:47:51 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267641, Retrieved Thu, 16 May 2024 09:47:51 +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 14:42:24] [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	4 seconds
R Server	'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267641&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267641&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267641&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	4 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Tabulation of Results
AMS.E x CONFSOFTTOT
	5	6	7	8	9	10	11	12	13	14	15
42	0	0	0	0	0	0	0	1	0	0	0
50	0	0	0	0	0	0	0	1	0	0	0
52	0	0	0	0	0	1	0	1	0	0	0
53	0	0	0	0	0	1	0	0	0	0	0
54	0	0	0	0	0	0	2	0	0	0	0
56	0	0	0	0	0	1	0	0	0	0	0
58	0	0	0	0	0	0	1	0	0	0	0
59	0	0	0	0	2	1	0	3	0	0	0
60	0	0	1	1	0	0	2	1	0	0	0
61	0	0	0	1	0	1	0	2	0	0	0
62	0	2	0	1	0	1	0	1	0	0	0
63	0	0	1	0	0	3	0	1	0	1	0
64	0	0	0	0	0	0	3	2	1	0	0
65	0	0	0	0	1	3	1	1	0	0	0
66	0	0	0	0	1	1	3	2	0	2	0
67	0	1	0	1	0	1	0	1	0	0	0
68	0	1	2	0	1	0	1	2	0	0	1
69	0	0	0	0	0	0	1	2	1	0	1
70	1	0	0	0	1	1	2	1	0	0	0
71	0	0	0	0	0	1	1	3	1	0	1
72	0	0	0	0	0	0	0	4	0	1	0
73	0	0	1	0	0	2	0	2	1	1	0
74	0	0	0	0	1	0	0	0	0	0	0
75	0	2	1	0	0	0	1	0	0	0	0
76	0	1	0	1	0	0	0	2	1	0	0
78	1	0	1	0	0	1	0	0	0	0	0
81	0	0	0	0	0	0	0	1	0	0	0
84	0	0	0	0	0	0	0	0	0	0	1

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
AMS.E  x  CONFSOFTTOT \tabularnewline
  & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \tabularnewline
42 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
50 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
52 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \tabularnewline
53 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
54 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 0 & 0 & 0 \tabularnewline
56 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
58 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
59 & 0 & 0 & 0 & 0 & 2 & 1 & 0 & 3 & 0 & 0 & 0 \tabularnewline
60 & 0 & 0 & 1 & 1 & 0 & 0 & 2 & 1 & 0 & 0 & 0 \tabularnewline
61 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 2 & 0 & 0 & 0 \tabularnewline
62 & 0 & 2 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \tabularnewline
63 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 1 & 0 & 1 & 0 \tabularnewline
64 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 2 & 1 & 0 & 0 \tabularnewline
65 & 0 & 0 & 0 & 0 & 1 & 3 & 1 & 1 & 0 & 0 & 0 \tabularnewline
66 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 2 & 0 & 2 & 0 \tabularnewline
67 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \tabularnewline
68 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 2 & 0 & 0 & 1 \tabularnewline
69 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 1 & 0 & 1 \tabularnewline
70 & 1 & 0 & 0 & 0 & 1 & 1 & 2 & 1 & 0 & 0 & 0 \tabularnewline
71 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 1 & 0 & 1 \tabularnewline
72 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 4 & 0 & 1 & 0 \tabularnewline
73 & 0 & 0 & 1 & 0 & 0 & 2 & 0 & 2 & 1 & 1 & 0 \tabularnewline
74 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
75 & 0 & 2 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
76 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 2 & 1 & 0 & 0 \tabularnewline
78 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
81 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
84 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267641&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]AMS.E  x  CONFSOFTTOT[/C][/ROW]
[ROW][C] [/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]42[/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][/ROW]
[C]50[/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][/ROW]
[C]52[/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][/ROW]
[C]53[/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][/ROW]
[C]54[/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][/ROW]
[C]56[/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][/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][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]0[/C][C]3[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]60[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/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][C]0[/C][C]0[/C][/ROW]
[C]62[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]63[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]64[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]65[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]66[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]3[/C][C]2[/C][C]0[/C][C]2[/C][C]0[/C][/ROW]
[C]67[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]68[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]69[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][/ROW]
[C]70[/C][C]1[/C][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][/ROW]
[C]71[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]3[/C][C]1[/C][C]0[/C][C]1[/C][/ROW]
[C]72[/C][C]0[/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]1[/C][C]0[/C][/ROW]
[C]73[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[C]74[/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]75[/C][C]0[/C][C]2[/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]76[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]78[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]81[/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][/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]0[/C][C]0[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267641&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267641&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 CONFSOFTTOT
	5	6	7	8	9	10	11	12	13	14	15
42	0	0	0	0	0	0	0	1	0	0	0
50	0	0	0	0	0	0	0	1	0	0	0
52	0	0	0	0	0	1	0	1	0	0	0
53	0	0	0	0	0	1	0	0	0	0	0
54	0	0	0	0	0	0	2	0	0	0	0
56	0	0	0	0	0	1	0	0	0	0	0
58	0	0	0	0	0	0	1	0	0	0	0
59	0	0	0	0	2	1	0	3	0	0	0
60	0	0	1	1	0	0	2	1	0	0	0
61	0	0	0	1	0	1	0	2	0	0	0
62	0	2	0	1	0	1	0	1	0	0	0
63	0	0	1	0	0	3	0	1	0	1	0
64	0	0	0	0	0	0	3	2	1	0	0
65	0	0	0	0	1	3	1	1	0	0	0
66	0	0	0	0	1	1	3	2	0	2	0
67	0	1	0	1	0	1	0	1	0	0	0
68	0	1	2	0	1	0	1	2	0	0	1
69	0	0	0	0	0	0	1	2	1	0	1
70	1	0	0	0	1	1	2	1	0	0	0
71	0	0	0	0	0	1	1	3	1	0	1
72	0	0	0	0	0	0	0	4	0	1	0
73	0	0	1	0	0	2	0	2	1	1	0
74	0	0	0	0	1	0	0	0	0	0	0
75	0	2	1	0	0	0	1	0	0	0	0
76	0	1	0	1	0	0	0	2	1	0	0
78	1	0	1	0	0	1	0	0	0	0	0
81	0	0	0	0	0	0	0	1	0	0	0
84	0	0	0	0	0	0	0	0	0	0	1

Tabulation of Expected Results
AMS.E x CONFSOFTTOT
	5	6	7	8	9	10	11	12	13	14	15
42	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
50	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
52	0.04	0.12	0.12	0.09	0.12	0.34	0.32	0.6	0.09	0.09	0.07
53	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
54	0.04	0.12	0.12	0.09	0.12	0.34	0.32	0.6	0.09	0.09	0.07
56	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
58	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
59	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
60	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
61	0.07	0.25	0.25	0.18	0.25	0.67	0.64	1.2	0.18	0.18	0.14
62	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
63	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
64	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
65	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
66	0.16	0.56	0.56	0.4	0.56	1.51	1.43	2.71	0.4	0.4	0.32
67	0.07	0.25	0.25	0.18	0.25	0.67	0.64	1.2	0.18	0.18	0.14
68	0.14	0.5	0.5	0.35	0.5	1.35	1.27	2.41	0.35	0.35	0.28
69	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
70	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
71	0.12	0.43	0.43	0.31	0.43	1.18	1.12	2.11	0.31	0.31	0.25
72	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
73	0.12	0.43	0.43	0.31	0.43	1.18	1.12	2.11	0.31	0.31	0.25
74	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
75	0.07	0.25	0.25	0.18	0.25	0.67	0.64	1.2	0.18	0.18	0.14
76	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
78	0.05	0.19	0.19	0.13	0.19	0.5	0.48	0.9	0.13	0.13	0.11
81	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
84	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
AMS.E  x  CONFSOFTTOT \tabularnewline
  & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \tabularnewline
42 & 0.02 & 0.06 & 0.06 & 0.04 & 0.06 & 0.17 & 0.16 & 0.3 & 0.04 & 0.04 & 0.04 \tabularnewline
50 & 0.02 & 0.06 & 0.06 & 0.04 & 0.06 & 0.17 & 0.16 & 0.3 & 0.04 & 0.04 & 0.04 \tabularnewline
52 & 0.04 & 0.12 & 0.12 & 0.09 & 0.12 & 0.34 & 0.32 & 0.6 & 0.09 & 0.09 & 0.07 \tabularnewline
53 & 0.02 & 0.06 & 0.06 & 0.04 & 0.06 & 0.17 & 0.16 & 0.3 & 0.04 & 0.04 & 0.04 \tabularnewline
54 & 0.04 & 0.12 & 0.12 & 0.09 & 0.12 & 0.34 & 0.32 & 0.6 & 0.09 & 0.09 & 0.07 \tabularnewline
56 & 0.02 & 0.06 & 0.06 & 0.04 & 0.06 & 0.17 & 0.16 & 0.3 & 0.04 & 0.04 & 0.04 \tabularnewline
58 & 0.02 & 0.06 & 0.06 & 0.04 & 0.06 & 0.17 & 0.16 & 0.3 & 0.04 & 0.04 & 0.04 \tabularnewline
59 & 0.11 & 0.37 & 0.37 & 0.27 & 0.37 & 1.01 & 0.96 & 1.81 & 0.27 & 0.27 & 0.21 \tabularnewline
60 & 0.09 & 0.31 & 0.31 & 0.22 & 0.31 & 0.84 & 0.8 & 1.5 & 0.22 & 0.22 & 0.18 \tabularnewline
61 & 0.07 & 0.25 & 0.25 & 0.18 & 0.25 & 0.67 & 0.64 & 1.2 & 0.18 & 0.18 & 0.14 \tabularnewline
62 & 0.09 & 0.31 & 0.31 & 0.22 & 0.31 & 0.84 & 0.8 & 1.5 & 0.22 & 0.22 & 0.18 \tabularnewline
63 & 0.11 & 0.37 & 0.37 & 0.27 & 0.37 & 1.01 & 0.96 & 1.81 & 0.27 & 0.27 & 0.21 \tabularnewline
64 & 0.11 & 0.37 & 0.37 & 0.27 & 0.37 & 1.01 & 0.96 & 1.81 & 0.27 & 0.27 & 0.21 \tabularnewline
65 & 0.11 & 0.37 & 0.37 & 0.27 & 0.37 & 1.01 & 0.96 & 1.81 & 0.27 & 0.27 & 0.21 \tabularnewline
66 & 0.16 & 0.56 & 0.56 & 0.4 & 0.56 & 1.51 & 1.43 & 2.71 & 0.4 & 0.4 & 0.32 \tabularnewline
67 & 0.07 & 0.25 & 0.25 & 0.18 & 0.25 & 0.67 & 0.64 & 1.2 & 0.18 & 0.18 & 0.14 \tabularnewline
68 & 0.14 & 0.5 & 0.5 & 0.35 & 0.5 & 1.35 & 1.27 & 2.41 & 0.35 & 0.35 & 0.28 \tabularnewline
69 & 0.09 & 0.31 & 0.31 & 0.22 & 0.31 & 0.84 & 0.8 & 1.5 & 0.22 & 0.22 & 0.18 \tabularnewline
70 & 0.11 & 0.37 & 0.37 & 0.27 & 0.37 & 1.01 & 0.96 & 1.81 & 0.27 & 0.27 & 0.21 \tabularnewline
71 & 0.12 & 0.43 & 0.43 & 0.31 & 0.43 & 1.18 & 1.12 & 2.11 & 0.31 & 0.31 & 0.25 \tabularnewline
72 & 0.09 & 0.31 & 0.31 & 0.22 & 0.31 & 0.84 & 0.8 & 1.5 & 0.22 & 0.22 & 0.18 \tabularnewline
73 & 0.12 & 0.43 & 0.43 & 0.31 & 0.43 & 1.18 & 1.12 & 2.11 & 0.31 & 0.31 & 0.25 \tabularnewline
74 & 0.02 & 0.06 & 0.06 & 0.04 & 0.06 & 0.17 & 0.16 & 0.3 & 0.04 & 0.04 & 0.04 \tabularnewline
75 & 0.07 & 0.25 & 0.25 & 0.18 & 0.25 & 0.67 & 0.64 & 1.2 & 0.18 & 0.18 & 0.14 \tabularnewline
76 & 0.09 & 0.31 & 0.31 & 0.22 & 0.31 & 0.84 & 0.8 & 1.5 & 0.22 & 0.22 & 0.18 \tabularnewline
78 & 0.05 & 0.19 & 0.19 & 0.13 & 0.19 & 0.5 & 0.48 & 0.9 & 0.13 & 0.13 & 0.11 \tabularnewline
81 & 0.02 & 0.06 & 0.06 & 0.04 & 0.06 & 0.17 & 0.16 & 0.3 & 0.04 & 0.04 & 0.04 \tabularnewline
84 & 0.02 & 0.06 & 0.06 & 0.04 & 0.06 & 0.17 & 0.16 & 0.3 & 0.04 & 0.04 & 0.04 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267641&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]AMS.E  x  CONFSOFTTOT[/C][/ROW]
[ROW][C] [/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]42[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.06[/C][C]0.17[/C][C]0.16[/C][C]0.3[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[C]50[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.06[/C][C]0.17[/C][C]0.16[/C][C]0.3[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[C]52[/C][C]0.04[/C][C]0.12[/C][C]0.12[/C][C]0.09[/C][C]0.12[/C][C]0.34[/C][C]0.32[/C][C]0.6[/C][C]0.09[/C][C]0.09[/C][C]0.07[/C][/ROW]
[C]53[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.06[/C][C]0.17[/C][C]0.16[/C][C]0.3[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[C]54[/C][C]0.04[/C][C]0.12[/C][C]0.12[/C][C]0.09[/C][C]0.12[/C][C]0.34[/C][C]0.32[/C][C]0.6[/C][C]0.09[/C][C]0.09[/C][C]0.07[/C][/ROW]
[C]56[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.06[/C][C]0.17[/C][C]0.16[/C][C]0.3[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[C]58[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.06[/C][C]0.17[/C][C]0.16[/C][C]0.3[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[C]59[/C][C]0.11[/C][C]0.37[/C][C]0.37[/C][C]0.27[/C][C]0.37[/C][C]1.01[/C][C]0.96[/C][C]1.81[/C][C]0.27[/C][C]0.27[/C][C]0.21[/C][/ROW]
[C]60[/C][C]0.09[/C][C]0.31[/C][C]0.31[/C][C]0.22[/C][C]0.31[/C][C]0.84[/C][C]0.8[/C][C]1.5[/C][C]0.22[/C][C]0.22[/C][C]0.18[/C][/ROW]
[C]61[/C][C]0.07[/C][C]0.25[/C][C]0.25[/C][C]0.18[/C][C]0.25[/C][C]0.67[/C][C]0.64[/C][C]1.2[/C][C]0.18[/C][C]0.18[/C][C]0.14[/C][/ROW]
[C]62[/C][C]0.09[/C][C]0.31[/C][C]0.31[/C][C]0.22[/C][C]0.31[/C][C]0.84[/C][C]0.8[/C][C]1.5[/C][C]0.22[/C][C]0.22[/C][C]0.18[/C][/ROW]
[C]63[/C][C]0.11[/C][C]0.37[/C][C]0.37[/C][C]0.27[/C][C]0.37[/C][C]1.01[/C][C]0.96[/C][C]1.81[/C][C]0.27[/C][C]0.27[/C][C]0.21[/C][/ROW]
[C]64[/C][C]0.11[/C][C]0.37[/C][C]0.37[/C][C]0.27[/C][C]0.37[/C][C]1.01[/C][C]0.96[/C][C]1.81[/C][C]0.27[/C][C]0.27[/C][C]0.21[/C][/ROW]
[C]65[/C][C]0.11[/C][C]0.37[/C][C]0.37[/C][C]0.27[/C][C]0.37[/C][C]1.01[/C][C]0.96[/C][C]1.81[/C][C]0.27[/C][C]0.27[/C][C]0.21[/C][/ROW]
[C]66[/C][C]0.16[/C][C]0.56[/C][C]0.56[/C][C]0.4[/C][C]0.56[/C][C]1.51[/C][C]1.43[/C][C]2.71[/C][C]0.4[/C][C]0.4[/C][C]0.32[/C][/ROW]
[C]67[/C][C]0.07[/C][C]0.25[/C][C]0.25[/C][C]0.18[/C][C]0.25[/C][C]0.67[/C][C]0.64[/C][C]1.2[/C][C]0.18[/C][C]0.18[/C][C]0.14[/C][/ROW]
[C]68[/C][C]0.14[/C][C]0.5[/C][C]0.5[/C][C]0.35[/C][C]0.5[/C][C]1.35[/C][C]1.27[/C][C]2.41[/C][C]0.35[/C][C]0.35[/C][C]0.28[/C][/ROW]
[C]69[/C][C]0.09[/C][C]0.31[/C][C]0.31[/C][C]0.22[/C][C]0.31[/C][C]0.84[/C][C]0.8[/C][C]1.5[/C][C]0.22[/C][C]0.22[/C][C]0.18[/C][/ROW]
[C]70[/C][C]0.11[/C][C]0.37[/C][C]0.37[/C][C]0.27[/C][C]0.37[/C][C]1.01[/C][C]0.96[/C][C]1.81[/C][C]0.27[/C][C]0.27[/C][C]0.21[/C][/ROW]
[C]71[/C][C]0.12[/C][C]0.43[/C][C]0.43[/C][C]0.31[/C][C]0.43[/C][C]1.18[/C][C]1.12[/C][C]2.11[/C][C]0.31[/C][C]0.31[/C][C]0.25[/C][/ROW]
[C]72[/C][C]0.09[/C][C]0.31[/C][C]0.31[/C][C]0.22[/C][C]0.31[/C][C]0.84[/C][C]0.8[/C][C]1.5[/C][C]0.22[/C][C]0.22[/C][C]0.18[/C][/ROW]
[C]73[/C][C]0.12[/C][C]0.43[/C][C]0.43[/C][C]0.31[/C][C]0.43[/C][C]1.18[/C][C]1.12[/C][C]2.11[/C][C]0.31[/C][C]0.31[/C][C]0.25[/C][/ROW]
[C]74[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.06[/C][C]0.17[/C][C]0.16[/C][C]0.3[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[C]75[/C][C]0.07[/C][C]0.25[/C][C]0.25[/C][C]0.18[/C][C]0.25[/C][C]0.67[/C][C]0.64[/C][C]1.2[/C][C]0.18[/C][C]0.18[/C][C]0.14[/C][/ROW]
[C]76[/C][C]0.09[/C][C]0.31[/C][C]0.31[/C][C]0.22[/C][C]0.31[/C][C]0.84[/C][C]0.8[/C][C]1.5[/C][C]0.22[/C][C]0.22[/C][C]0.18[/C][/ROW]
[C]78[/C][C]0.05[/C][C]0.19[/C][C]0.19[/C][C]0.13[/C][C]0.19[/C][C]0.5[/C][C]0.48[/C][C]0.9[/C][C]0.13[/C][C]0.13[/C][C]0.11[/C][/ROW]
[C]81[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.06[/C][C]0.17[/C][C]0.16[/C][C]0.3[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[C]84[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.04[/C][C]0.06[/C][C]0.17[/C][C]0.16[/C][C]0.3[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267641&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267641&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 CONFSOFTTOT
	5	6	7	8	9	10	11	12	13	14	15
42	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
50	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
52	0.04	0.12	0.12	0.09	0.12	0.34	0.32	0.6	0.09	0.09	0.07
53	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
54	0.04	0.12	0.12	0.09	0.12	0.34	0.32	0.6	0.09	0.09	0.07
56	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
58	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
59	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
60	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
61	0.07	0.25	0.25	0.18	0.25	0.67	0.64	1.2	0.18	0.18	0.14
62	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
63	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
64	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
65	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
66	0.16	0.56	0.56	0.4	0.56	1.51	1.43	2.71	0.4	0.4	0.32
67	0.07	0.25	0.25	0.18	0.25	0.67	0.64	1.2	0.18	0.18	0.14
68	0.14	0.5	0.5	0.35	0.5	1.35	1.27	2.41	0.35	0.35	0.28
69	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
70	0.11	0.37	0.37	0.27	0.37	1.01	0.96	1.81	0.27	0.27	0.21
71	0.12	0.43	0.43	0.31	0.43	1.18	1.12	2.11	0.31	0.31	0.25
72	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
73	0.12	0.43	0.43	0.31	0.43	1.18	1.12	2.11	0.31	0.31	0.25
74	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
75	0.07	0.25	0.25	0.18	0.25	0.67	0.64	1.2	0.18	0.18	0.14
76	0.09	0.31	0.31	0.22	0.31	0.84	0.8	1.5	0.22	0.22	0.18
78	0.05	0.19	0.19	0.13	0.19	0.5	0.48	0.9	0.13	0.13	0.11
81	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04
84	0.02	0.06	0.06	0.04	0.06	0.17	0.16	0.3	0.04	0.04	0.04

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	268.83
P value	0.52

\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 & 268.83 \tabularnewline
P value & 0.52 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267641&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]268.83[/C][/ROW]
[ROW][C]P value[/C][C]0.52[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267641&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267641&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	268.83
P value	0.52

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 2 ; par2 = 6 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 2 ; par2 = 6 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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