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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 14:23:08 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/14/t1418567004puk9dmucpsxoupc.htm/, Retrieved Thu, 16 May 2024 21:35:22 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267619, Retrieved Thu, 16 May 2024 21:35:22 +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 14:23:08] [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	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267619&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267619&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267619&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Tabulation of Results
AMS.E x age
	18	19	20	21	22	23	24	25
42	0	0	0	0	0	0	0	1
50	0	0	0	1	0	0	0	0
52	0	0	0	0	1	1	0	0
53	0	0	0	1	0	0	0	0
54	0	0	0	2	0	0	0	0
56	0	1	0	0	0	0	0	0
58	0	0	0	1	0	0	0	0
59	0	2	0	3	1	0	0	0
60	0	2	0	2	0	1	0	0
61	1	0	1	1	1	0	0	0
62	1	1	0	1	2	0	0	0
63	0	2	1	1	0	2	0	0
64	1	1	0	1	2	1	0	0
65	1	0	1	2	1	1	0	0
66	0	3	1	4	1	0	0	0
67	1	0	0	3	0	0	0	0
68	1	3	1	1	0	0	2	0
69	0	2	0	2	0	0	0	1
70	0	0	1	3	2	0	0	0
71	0	0	1	3	1	1	1	0
72	0	1	1	1	0	1	0	1
73	1	1	2	3	0	0	0	0
74	0	0	0	1	0	0	0	0
75	0	0	1	2	1	0	0	0
76	0	1	0	1	3	0	0	0
78	0	0	1	1	1	0	0	0
81	0	0	0	0	0	0	1	0
84	0	0	0	0	1	0	0	0

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
AMS.E  x  age \tabularnewline
  & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \tabularnewline
42 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline
50 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
52 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \tabularnewline
53 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
54 & 0 & 0 & 0 & 2 & 0 & 0 & 0 & 0 \tabularnewline
56 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
58 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
59 & 0 & 2 & 0 & 3 & 1 & 0 & 0 & 0 \tabularnewline
60 & 0 & 2 & 0 & 2 & 0 & 1 & 0 & 0 \tabularnewline
61 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \tabularnewline
62 & 1 & 1 & 0 & 1 & 2 & 0 & 0 & 0 \tabularnewline
63 & 0 & 2 & 1 & 1 & 0 & 2 & 0 & 0 \tabularnewline
64 & 1 & 1 & 0 & 1 & 2 & 1 & 0 & 0 \tabularnewline
65 & 1 & 0 & 1 & 2 & 1 & 1 & 0 & 0 \tabularnewline
66 & 0 & 3 & 1 & 4 & 1 & 0 & 0 & 0 \tabularnewline
67 & 1 & 0 & 0 & 3 & 0 & 0 & 0 & 0 \tabularnewline
68 & 1 & 3 & 1 & 1 & 0 & 0 & 2 & 0 \tabularnewline
69 & 0 & 2 & 0 & 2 & 0 & 0 & 0 & 1 \tabularnewline
70 & 0 & 0 & 1 & 3 & 2 & 0 & 0 & 0 \tabularnewline
71 & 0 & 0 & 1 & 3 & 1 & 1 & 1 & 0 \tabularnewline
72 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & 1 \tabularnewline
73 & 1 & 1 & 2 & 3 & 0 & 0 & 0 & 0 \tabularnewline
74 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
75 & 0 & 0 & 1 & 2 & 1 & 0 & 0 & 0 \tabularnewline
76 & 0 & 1 & 0 & 1 & 3 & 0 & 0 & 0 \tabularnewline
78 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 \tabularnewline
81 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \tabularnewline
84 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267619&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]AMS.E  x  age[/C][/ROW]
[ROW][C] [/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/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][/ROW]
[C]50[/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]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][/ROW]
[C]53[/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]54[/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]1[/C][C]0[/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]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]59[/C][C]0[/C][C]2[/C][C]0[/C][C]3[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]60[/C][C]0[/C][C]2[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]61[/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]62[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]63[/C][C]0[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[C]64[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]65[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]66[/C][C]0[/C][C]3[/C][C]1[/C][C]4[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]67[/C][C]1[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]68[/C][C]1[/C][C]3[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][/ROW]
[C]69[/C][C]0[/C][C]2[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]70[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]71[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[C]72[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][/ROW]
[C]73[/C][C]1[/C][C]1[/C][C]2[/C][C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]74[/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]75[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/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]3[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]78[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/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]1[/C][C]0[/C][/ROW]
[C]84[/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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267619&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267619&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 age
	18	19	20	21	22	23	24	25
42	0	0	0	0	0	0	0	1
50	0	0	0	1	0	0	0	0
52	0	0	0	0	1	1	0	0
53	0	0	0	1	0	0	0	0
54	0	0	0	2	0	0	0	0
56	0	1	0	0	0	0	0	0
58	0	0	0	1	0	0	0	0
59	0	2	0	3	1	0	0	0
60	0	2	0	2	0	1	0	0
61	1	0	1	1	1	0	0	0
62	1	1	0	1	2	0	0	0
63	0	2	1	1	0	2	0	0
64	1	1	0	1	2	1	0	0
65	1	0	1	2	1	1	0	0
66	0	3	1	4	1	0	0	0
67	1	0	0	3	0	0	0	0
68	1	3	1	1	0	0	2	0
69	0	2	0	2	0	0	0	1
70	0	0	1	3	2	0	0	0
71	0	0	1	3	1	1	1	0
72	0	1	1	1	0	1	0	1
73	1	1	2	3	0	0	0	0
74	0	0	0	1	0	0	0	0
75	0	0	1	2	1	0	0	0
76	0	1	0	1	3	0	0	0
78	0	0	1	1	1	0	0	0
81	0	0	0	0	0	0	1	0
84	0	0	0	0	1	0	0	0

Tabulation of Expected Results
AMS.E x age
	18	19	20	21	22	23	24	25
42	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
50	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
52	0.12	0.35	0.21	0.73	0.32	0.14	0.07	0.05
53	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
54	0.12	0.35	0.21	0.73	0.32	0.14	0.07	0.05
56	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
58	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
59	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
60	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
61	0.25	0.71	0.42	1.45	0.64	0.28	0.14	0.11
62	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
63	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
64	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
65	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
66	0.56	1.59	0.96	3.27	1.43	0.64	0.32	0.24
67	0.25	0.71	0.42	1.45	0.64	0.28	0.14	0.11
68	0.5	1.42	0.85	2.9	1.27	0.57	0.28	0.21
69	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
70	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
71	0.43	1.24	0.74	2.54	1.12	0.5	0.25	0.19
72	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
73	0.43	1.24	0.74	2.54	1.12	0.5	0.25	0.19
74	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
75	0.25	0.71	0.42	1.45	0.64	0.28	0.14	0.11
76	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
78	0.19	0.53	0.32	1.09	0.48	0.21	0.11	0.08
81	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
84	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
AMS.E  x  age \tabularnewline
  & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \tabularnewline
42 & 0.06 & 0.18 & 0.11 & 0.36 & 0.16 & 0.07 & 0.04 & 0.03 \tabularnewline
50 & 0.06 & 0.18 & 0.11 & 0.36 & 0.16 & 0.07 & 0.04 & 0.03 \tabularnewline
52 & 0.12 & 0.35 & 0.21 & 0.73 & 0.32 & 0.14 & 0.07 & 0.05 \tabularnewline
53 & 0.06 & 0.18 & 0.11 & 0.36 & 0.16 & 0.07 & 0.04 & 0.03 \tabularnewline
54 & 0.12 & 0.35 & 0.21 & 0.73 & 0.32 & 0.14 & 0.07 & 0.05 \tabularnewline
56 & 0.06 & 0.18 & 0.11 & 0.36 & 0.16 & 0.07 & 0.04 & 0.03 \tabularnewline
58 & 0.06 & 0.18 & 0.11 & 0.36 & 0.16 & 0.07 & 0.04 & 0.03 \tabularnewline
59 & 0.37 & 1.06 & 0.64 & 2.18 & 0.96 & 0.42 & 0.21 & 0.16 \tabularnewline
60 & 0.31 & 0.88 & 0.53 & 1.81 & 0.8 & 0.35 & 0.18 & 0.13 \tabularnewline
61 & 0.25 & 0.71 & 0.42 & 1.45 & 0.64 & 0.28 & 0.14 & 0.11 \tabularnewline
62 & 0.31 & 0.88 & 0.53 & 1.81 & 0.8 & 0.35 & 0.18 & 0.13 \tabularnewline
63 & 0.37 & 1.06 & 0.64 & 2.18 & 0.96 & 0.42 & 0.21 & 0.16 \tabularnewline
64 & 0.37 & 1.06 & 0.64 & 2.18 & 0.96 & 0.42 & 0.21 & 0.16 \tabularnewline
65 & 0.37 & 1.06 & 0.64 & 2.18 & 0.96 & 0.42 & 0.21 & 0.16 \tabularnewline
66 & 0.56 & 1.59 & 0.96 & 3.27 & 1.43 & 0.64 & 0.32 & 0.24 \tabularnewline
67 & 0.25 & 0.71 & 0.42 & 1.45 & 0.64 & 0.28 & 0.14 & 0.11 \tabularnewline
68 & 0.5 & 1.42 & 0.85 & 2.9 & 1.27 & 0.57 & 0.28 & 0.21 \tabularnewline
69 & 0.31 & 0.88 & 0.53 & 1.81 & 0.8 & 0.35 & 0.18 & 0.13 \tabularnewline
70 & 0.37 & 1.06 & 0.64 & 2.18 & 0.96 & 0.42 & 0.21 & 0.16 \tabularnewline
71 & 0.43 & 1.24 & 0.74 & 2.54 & 1.12 & 0.5 & 0.25 & 0.19 \tabularnewline
72 & 0.31 & 0.88 & 0.53 & 1.81 & 0.8 & 0.35 & 0.18 & 0.13 \tabularnewline
73 & 0.43 & 1.24 & 0.74 & 2.54 & 1.12 & 0.5 & 0.25 & 0.19 \tabularnewline
74 & 0.06 & 0.18 & 0.11 & 0.36 & 0.16 & 0.07 & 0.04 & 0.03 \tabularnewline
75 & 0.25 & 0.71 & 0.42 & 1.45 & 0.64 & 0.28 & 0.14 & 0.11 \tabularnewline
76 & 0.31 & 0.88 & 0.53 & 1.81 & 0.8 & 0.35 & 0.18 & 0.13 \tabularnewline
78 & 0.19 & 0.53 & 0.32 & 1.09 & 0.48 & 0.21 & 0.11 & 0.08 \tabularnewline
81 & 0.06 & 0.18 & 0.11 & 0.36 & 0.16 & 0.07 & 0.04 & 0.03 \tabularnewline
84 & 0.06 & 0.18 & 0.11 & 0.36 & 0.16 & 0.07 & 0.04 & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267619&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]AMS.E  x  age[/C][/ROW]
[ROW][C] [/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][/ROW]
[C]42[/C][C]0.06[/C][C]0.18[/C][C]0.11[/C][C]0.36[/C][C]0.16[/C][C]0.07[/C][C]0.04[/C][C]0.03[/C][/ROW]
[C]50[/C][C]0.06[/C][C]0.18[/C][C]0.11[/C][C]0.36[/C][C]0.16[/C][C]0.07[/C][C]0.04[/C][C]0.03[/C][/ROW]
[C]52[/C][C]0.12[/C][C]0.35[/C][C]0.21[/C][C]0.73[/C][C]0.32[/C][C]0.14[/C][C]0.07[/C][C]0.05[/C][/ROW]
[C]53[/C][C]0.06[/C][C]0.18[/C][C]0.11[/C][C]0.36[/C][C]0.16[/C][C]0.07[/C][C]0.04[/C][C]0.03[/C][/ROW]
[C]54[/C][C]0.12[/C][C]0.35[/C][C]0.21[/C][C]0.73[/C][C]0.32[/C][C]0.14[/C][C]0.07[/C][C]0.05[/C][/ROW]
[C]56[/C][C]0.06[/C][C]0.18[/C][C]0.11[/C][C]0.36[/C][C]0.16[/C][C]0.07[/C][C]0.04[/C][C]0.03[/C][/ROW]
[C]58[/C][C]0.06[/C][C]0.18[/C][C]0.11[/C][C]0.36[/C][C]0.16[/C][C]0.07[/C][C]0.04[/C][C]0.03[/C][/ROW]
[C]59[/C][C]0.37[/C][C]1.06[/C][C]0.64[/C][C]2.18[/C][C]0.96[/C][C]0.42[/C][C]0.21[/C][C]0.16[/C][/ROW]
[C]60[/C][C]0.31[/C][C]0.88[/C][C]0.53[/C][C]1.81[/C][C]0.8[/C][C]0.35[/C][C]0.18[/C][C]0.13[/C][/ROW]
[C]61[/C][C]0.25[/C][C]0.71[/C][C]0.42[/C][C]1.45[/C][C]0.64[/C][C]0.28[/C][C]0.14[/C][C]0.11[/C][/ROW]
[C]62[/C][C]0.31[/C][C]0.88[/C][C]0.53[/C][C]1.81[/C][C]0.8[/C][C]0.35[/C][C]0.18[/C][C]0.13[/C][/ROW]
[C]63[/C][C]0.37[/C][C]1.06[/C][C]0.64[/C][C]2.18[/C][C]0.96[/C][C]0.42[/C][C]0.21[/C][C]0.16[/C][/ROW]
[C]64[/C][C]0.37[/C][C]1.06[/C][C]0.64[/C][C]2.18[/C][C]0.96[/C][C]0.42[/C][C]0.21[/C][C]0.16[/C][/ROW]
[C]65[/C][C]0.37[/C][C]1.06[/C][C]0.64[/C][C]2.18[/C][C]0.96[/C][C]0.42[/C][C]0.21[/C][C]0.16[/C][/ROW]
[C]66[/C][C]0.56[/C][C]1.59[/C][C]0.96[/C][C]3.27[/C][C]1.43[/C][C]0.64[/C][C]0.32[/C][C]0.24[/C][/ROW]
[C]67[/C][C]0.25[/C][C]0.71[/C][C]0.42[/C][C]1.45[/C][C]0.64[/C][C]0.28[/C][C]0.14[/C][C]0.11[/C][/ROW]
[C]68[/C][C]0.5[/C][C]1.42[/C][C]0.85[/C][C]2.9[/C][C]1.27[/C][C]0.57[/C][C]0.28[/C][C]0.21[/C][/ROW]
[C]69[/C][C]0.31[/C][C]0.88[/C][C]0.53[/C][C]1.81[/C][C]0.8[/C][C]0.35[/C][C]0.18[/C][C]0.13[/C][/ROW]
[C]70[/C][C]0.37[/C][C]1.06[/C][C]0.64[/C][C]2.18[/C][C]0.96[/C][C]0.42[/C][C]0.21[/C][C]0.16[/C][/ROW]
[C]71[/C][C]0.43[/C][C]1.24[/C][C]0.74[/C][C]2.54[/C][C]1.12[/C][C]0.5[/C][C]0.25[/C][C]0.19[/C][/ROW]
[C]72[/C][C]0.31[/C][C]0.88[/C][C]0.53[/C][C]1.81[/C][C]0.8[/C][C]0.35[/C][C]0.18[/C][C]0.13[/C][/ROW]
[C]73[/C][C]0.43[/C][C]1.24[/C][C]0.74[/C][C]2.54[/C][C]1.12[/C][C]0.5[/C][C]0.25[/C][C]0.19[/C][/ROW]
[C]74[/C][C]0.06[/C][C]0.18[/C][C]0.11[/C][C]0.36[/C][C]0.16[/C][C]0.07[/C][C]0.04[/C][C]0.03[/C][/ROW]
[C]75[/C][C]0.25[/C][C]0.71[/C][C]0.42[/C][C]1.45[/C][C]0.64[/C][C]0.28[/C][C]0.14[/C][C]0.11[/C][/ROW]
[C]76[/C][C]0.31[/C][C]0.88[/C][C]0.53[/C][C]1.81[/C][C]0.8[/C][C]0.35[/C][C]0.18[/C][C]0.13[/C][/ROW]
[C]78[/C][C]0.19[/C][C]0.53[/C][C]0.32[/C][C]1.09[/C][C]0.48[/C][C]0.21[/C][C]0.11[/C][C]0.08[/C][/ROW]
[C]81[/C][C]0.06[/C][C]0.18[/C][C]0.11[/C][C]0.36[/C][C]0.16[/C][C]0.07[/C][C]0.04[/C][C]0.03[/C][/ROW]
[C]84[/C][C]0.06[/C][C]0.18[/C][C]0.11[/C][C]0.36[/C][C]0.16[/C][C]0.07[/C][C]0.04[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267619&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267619&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 age
	18	19	20	21	22	23	24	25
42	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
50	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
52	0.12	0.35	0.21	0.73	0.32	0.14	0.07	0.05
53	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
54	0.12	0.35	0.21	0.73	0.32	0.14	0.07	0.05
56	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
58	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
59	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
60	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
61	0.25	0.71	0.42	1.45	0.64	0.28	0.14	0.11
62	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
63	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
64	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
65	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
66	0.56	1.59	0.96	3.27	1.43	0.64	0.32	0.24
67	0.25	0.71	0.42	1.45	0.64	0.28	0.14	0.11
68	0.5	1.42	0.85	2.9	1.27	0.57	0.28	0.21
69	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
70	0.37	1.06	0.64	2.18	0.96	0.42	0.21	0.16
71	0.43	1.24	0.74	2.54	1.12	0.5	0.25	0.19
72	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
73	0.43	1.24	0.74	2.54	1.12	0.5	0.25	0.19
74	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
75	0.25	0.71	0.42	1.45	0.64	0.28	0.14	0.11
76	0.31	0.88	0.53	1.81	0.8	0.35	0.18	0.13
78	0.19	0.53	0.32	1.09	0.48	0.21	0.11	0.08
81	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03
84	0.06	0.18	0.11	0.36	0.16	0.07	0.04	0.03

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	198.31
P value	0.34

\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 & 198.31 \tabularnewline
P value & 0.34 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267619&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]198.31[/C][/ROW]
[ROW][C]P value[/C][C]0.34[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267619&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267619&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	198.31
P value	0.34

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 2 ; par2 = 4 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 2 ; par2 = 4 ; 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