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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationFri, 12 Dec 2014 14:26:42 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/12/t14183944156c0jrydmyzqqnqf.htm/, Retrieved Thu, 16 May 2024 16:43:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266744, Retrieved Thu, 16 May 2024 16:43:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
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] [] [2014-12-12 14:26:42] [4897fbbb7461c8caec7645a3718e7cbe] [Current]
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Dataseries X:
7.5 50
6.5 54
1.0 71
1.0 54
5.5 65
8.5 73
6.5 52
4.5 84
2.0 42
5.0 66
0.5 65
5.0 73
2.5 75
5.0 72
5.5 66
3.5 70
4.0 81
6.5 69
4.5 71
5.5 68
4.0 70
7.5 68
4.0 67
5.5 76
2.5 70
5.5 60
3.5 72
4.5 71
4.5 70
6.0 64
5.0 76
6.5 68
5.0 76
6.0 65
4.5 67
5.0 75
5.0 60
6.5 73
7.0 63
4.5 70
8.5 66
3.5 64
6.0 70
1.5 75
3.5 60
7.5 66
5.0 59
6.5 78
6.5 67
6.5 59
7.0 66
1.5 71
4.0 66
4.5 72
0.0 71
3.5 59
4.5 78
0.0 65
3.0 65
3.5 71
3.0 72
1.0 66




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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=266744&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=266744&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266744&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Tabulation of Results
Ex x AMS.E
42505254596063646566676869707172737576788184
00000000010000010000000
0.50000000010000000000000
10001000001000010000000
1.50000000000000010010000
21000000000000000000000
2.50000000000000100010000
30000000010000001000000
3.50000110100000111000000
40000000001100100000010
4.50000000000100221000101
50000110001000001112000
5.50000010011010000001000
60000000110000100000000
6.50011100000111000100100
70000001001000000000000
7.50100000001010000000000
8.50000000001000000100000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Ex  x  AMS.E \tabularnewline
  & 42 & 50 & 52 & 54 & 59 & 60 & 63 & 64 & 65 & 66 & 67 & 68 & 69 & 70 & 71 & 72 & 73 & 75 & 76 & 78 & 81 & 84 \tabularnewline
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
0.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
1.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
2 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
2.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
3 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
3.5 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
4 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \tabularnewline
4.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 2 & 2 & 1 & 0 & 0 & 0 & 1 & 0 & 1 \tabularnewline
5 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 2 & 0 & 0 & 0 \tabularnewline
5.5 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
6 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
6.5 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \tabularnewline
7 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
7.5 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
8.5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266744&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]Ex  x  AMS.E[/C][/ROW]
[ROW][C] [/C][C]42[/C][C]50[/C][C]52[/C][C]54[/C][C]59[/C][C]60[/C][C]63[/C][C]64[/C][C]65[/C][C]66[/C][C]67[/C][C]68[/C][C]69[/C][C]70[/C][C]71[/C][C]72[/C][C]73[/C][C]75[/C][C]76[/C][C]78[/C][C]81[/C][C]84[/C][/ROW]
[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][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][/ROW]
[C]0.5[/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][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]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][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]1.5[/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]0[/C][C]0[/C][C]0[/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][/ROW]
[C]2[/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][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]0[/C][C]0[/C][/ROW]
[C]2.5[/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]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][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]3[/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][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]3.5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/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]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]4[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]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]1[/C][C]0[/C][/ROW]
[C]4.5[/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][C]2[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][/ROW]
[C]5[/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][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]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]5.5[/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]1[/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]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]6[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]6.5[/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][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]7[/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]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][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]7.5[/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]1[/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][C]0[/C][/ROW]
[C]8.5[/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][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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266744&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266744&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
Ex x AMS.E
42505254596063646566676869707172737576788184
00000000010000010000000
0.50000000010000000000000
10001000001000010000000
1.50000000000000010010000
21000000000000000000000
2.50000000000000100010000
30000000010000001000000
3.50000110100000111000000
40000000001100100000010
4.50000000000100221000101
50000110001000001112000
5.50000010011010000001000
60000000110000100000000
6.50011100000111000100100
70000001001000000000000
7.50100000001010000000000
8.50000000001000000100000







Tabulation of Expected Results
Ex x AMS.E
42505254596063646566676869707172737576788184
00.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
0.50.020.020.020.030.050.050.020.030.080.110.050.050.020.10.10.060.050.050.050.030.020.02
10.050.050.050.10.150.150.050.10.240.340.150.150.050.290.290.190.150.150.150.10.050.05
1.50.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
20.020.020.020.030.050.050.020.030.080.110.050.050.020.10.10.060.050.050.050.030.020.02
2.50.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
30.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
3.50.10.10.10.190.290.290.10.190.480.680.290.290.10.580.580.390.290.290.290.190.10.1
40.060.060.060.130.190.190.060.130.320.450.190.190.060.390.390.260.190.190.190.130.060.06
4.50.130.130.130.260.390.390.130.260.650.90.390.390.130.770.770.520.390.390.390.260.130.13
50.130.130.130.260.390.390.130.260.650.90.390.390.130.770.770.520.390.390.390.260.130.13
5.50.080.080.080.160.240.240.080.160.40.560.240.240.080.480.480.320.240.240.240.160.080.08
60.050.050.050.10.150.150.050.10.240.340.150.150.050.290.290.190.150.150.150.10.050.05
6.50.130.130.130.260.390.390.130.260.650.90.390.390.130.770.770.520.390.390.390.260.130.13
70.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
7.50.050.050.050.10.150.150.050.10.240.340.150.150.050.290.290.190.150.150.150.10.050.05
8.50.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Ex  x  AMS.E \tabularnewline
  & 42 & 50 & 52 & 54 & 59 & 60 & 63 & 64 & 65 & 66 & 67 & 68 & 69 & 70 & 71 & 72 & 73 & 75 & 76 & 78 & 81 & 84 \tabularnewline
0 & 0.03 & 0.03 & 0.03 & 0.06 & 0.1 & 0.1 & 0.03 & 0.06 & 0.16 & 0.23 & 0.1 & 0.1 & 0.03 & 0.19 & 0.19 & 0.13 & 0.1 & 0.1 & 0.1 & 0.06 & 0.03 & 0.03 \tabularnewline
0.5 & 0.02 & 0.02 & 0.02 & 0.03 & 0.05 & 0.05 & 0.02 & 0.03 & 0.08 & 0.11 & 0.05 & 0.05 & 0.02 & 0.1 & 0.1 & 0.06 & 0.05 & 0.05 & 0.05 & 0.03 & 0.02 & 0.02 \tabularnewline
1 & 0.05 & 0.05 & 0.05 & 0.1 & 0.15 & 0.15 & 0.05 & 0.1 & 0.24 & 0.34 & 0.15 & 0.15 & 0.05 & 0.29 & 0.29 & 0.19 & 0.15 & 0.15 & 0.15 & 0.1 & 0.05 & 0.05 \tabularnewline
1.5 & 0.03 & 0.03 & 0.03 & 0.06 & 0.1 & 0.1 & 0.03 & 0.06 & 0.16 & 0.23 & 0.1 & 0.1 & 0.03 & 0.19 & 0.19 & 0.13 & 0.1 & 0.1 & 0.1 & 0.06 & 0.03 & 0.03 \tabularnewline
2 & 0.02 & 0.02 & 0.02 & 0.03 & 0.05 & 0.05 & 0.02 & 0.03 & 0.08 & 0.11 & 0.05 & 0.05 & 0.02 & 0.1 & 0.1 & 0.06 & 0.05 & 0.05 & 0.05 & 0.03 & 0.02 & 0.02 \tabularnewline
2.5 & 0.03 & 0.03 & 0.03 & 0.06 & 0.1 & 0.1 & 0.03 & 0.06 & 0.16 & 0.23 & 0.1 & 0.1 & 0.03 & 0.19 & 0.19 & 0.13 & 0.1 & 0.1 & 0.1 & 0.06 & 0.03 & 0.03 \tabularnewline
3 & 0.03 & 0.03 & 0.03 & 0.06 & 0.1 & 0.1 & 0.03 & 0.06 & 0.16 & 0.23 & 0.1 & 0.1 & 0.03 & 0.19 & 0.19 & 0.13 & 0.1 & 0.1 & 0.1 & 0.06 & 0.03 & 0.03 \tabularnewline
3.5 & 0.1 & 0.1 & 0.1 & 0.19 & 0.29 & 0.29 & 0.1 & 0.19 & 0.48 & 0.68 & 0.29 & 0.29 & 0.1 & 0.58 & 0.58 & 0.39 & 0.29 & 0.29 & 0.29 & 0.19 & 0.1 & 0.1 \tabularnewline
4 & 0.06 & 0.06 & 0.06 & 0.13 & 0.19 & 0.19 & 0.06 & 0.13 & 0.32 & 0.45 & 0.19 & 0.19 & 0.06 & 0.39 & 0.39 & 0.26 & 0.19 & 0.19 & 0.19 & 0.13 & 0.06 & 0.06 \tabularnewline
4.5 & 0.13 & 0.13 & 0.13 & 0.26 & 0.39 & 0.39 & 0.13 & 0.26 & 0.65 & 0.9 & 0.39 & 0.39 & 0.13 & 0.77 & 0.77 & 0.52 & 0.39 & 0.39 & 0.39 & 0.26 & 0.13 & 0.13 \tabularnewline
5 & 0.13 & 0.13 & 0.13 & 0.26 & 0.39 & 0.39 & 0.13 & 0.26 & 0.65 & 0.9 & 0.39 & 0.39 & 0.13 & 0.77 & 0.77 & 0.52 & 0.39 & 0.39 & 0.39 & 0.26 & 0.13 & 0.13 \tabularnewline
5.5 & 0.08 & 0.08 & 0.08 & 0.16 & 0.24 & 0.24 & 0.08 & 0.16 & 0.4 & 0.56 & 0.24 & 0.24 & 0.08 & 0.48 & 0.48 & 0.32 & 0.24 & 0.24 & 0.24 & 0.16 & 0.08 & 0.08 \tabularnewline
6 & 0.05 & 0.05 & 0.05 & 0.1 & 0.15 & 0.15 & 0.05 & 0.1 & 0.24 & 0.34 & 0.15 & 0.15 & 0.05 & 0.29 & 0.29 & 0.19 & 0.15 & 0.15 & 0.15 & 0.1 & 0.05 & 0.05 \tabularnewline
6.5 & 0.13 & 0.13 & 0.13 & 0.26 & 0.39 & 0.39 & 0.13 & 0.26 & 0.65 & 0.9 & 0.39 & 0.39 & 0.13 & 0.77 & 0.77 & 0.52 & 0.39 & 0.39 & 0.39 & 0.26 & 0.13 & 0.13 \tabularnewline
7 & 0.03 & 0.03 & 0.03 & 0.06 & 0.1 & 0.1 & 0.03 & 0.06 & 0.16 & 0.23 & 0.1 & 0.1 & 0.03 & 0.19 & 0.19 & 0.13 & 0.1 & 0.1 & 0.1 & 0.06 & 0.03 & 0.03 \tabularnewline
7.5 & 0.05 & 0.05 & 0.05 & 0.1 & 0.15 & 0.15 & 0.05 & 0.1 & 0.24 & 0.34 & 0.15 & 0.15 & 0.05 & 0.29 & 0.29 & 0.19 & 0.15 & 0.15 & 0.15 & 0.1 & 0.05 & 0.05 \tabularnewline
8.5 & 0.03 & 0.03 & 0.03 & 0.06 & 0.1 & 0.1 & 0.03 & 0.06 & 0.16 & 0.23 & 0.1 & 0.1 & 0.03 & 0.19 & 0.19 & 0.13 & 0.1 & 0.1 & 0.1 & 0.06 & 0.03 & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266744&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]Ex  x  AMS.E[/C][/ROW]
[ROW][C] [/C][C]42[/C][C]50[/C][C]52[/C][C]54[/C][C]59[/C][C]60[/C][C]63[/C][C]64[/C][C]65[/C][C]66[/C][C]67[/C][C]68[/C][C]69[/C][C]70[/C][C]71[/C][C]72[/C][C]73[/C][C]75[/C][C]76[/C][C]78[/C][C]81[/C][C]84[/C][/ROW]
[C]0[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.06[/C][C]0.16[/C][C]0.23[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.19[/C][C]0.19[/C][C]0.13[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.06[/C][C]0.03[/C][C]0.03[/C][/ROW]
[C]0.5[/C][C]0.02[/C][C]0.02[/C][C]0.02[/C][C]0.03[/C][C]0.05[/C][C]0.05[/C][C]0.02[/C][C]0.03[/C][C]0.08[/C][C]0.11[/C][C]0.05[/C][C]0.05[/C][C]0.02[/C][C]0.1[/C][C]0.1[/C][C]0.06[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.03[/C][C]0.02[/C][C]0.02[/C][/ROW]
[C]1[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.15[/C][C]0.15[/C][C]0.05[/C][C]0.1[/C][C]0.24[/C][C]0.34[/C][C]0.15[/C][C]0.15[/C][C]0.05[/C][C]0.29[/C][C]0.29[/C][C]0.19[/C][C]0.15[/C][C]0.15[/C][C]0.15[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][/ROW]
[C]1.5[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.06[/C][C]0.16[/C][C]0.23[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.19[/C][C]0.19[/C][C]0.13[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.06[/C][C]0.03[/C][C]0.03[/C][/ROW]
[C]2[/C][C]0.02[/C][C]0.02[/C][C]0.02[/C][C]0.03[/C][C]0.05[/C][C]0.05[/C][C]0.02[/C][C]0.03[/C][C]0.08[/C][C]0.11[/C][C]0.05[/C][C]0.05[/C][C]0.02[/C][C]0.1[/C][C]0.1[/C][C]0.06[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.03[/C][C]0.02[/C][C]0.02[/C][/ROW]
[C]2.5[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.06[/C][C]0.16[/C][C]0.23[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.19[/C][C]0.19[/C][C]0.13[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.06[/C][C]0.03[/C][C]0.03[/C][/ROW]
[C]3[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.06[/C][C]0.16[/C][C]0.23[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.19[/C][C]0.19[/C][C]0.13[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.06[/C][C]0.03[/C][C]0.03[/C][/ROW]
[C]3.5[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.19[/C][C]0.29[/C][C]0.29[/C][C]0.1[/C][C]0.19[/C][C]0.48[/C][C]0.68[/C][C]0.29[/C][C]0.29[/C][C]0.1[/C][C]0.58[/C][C]0.58[/C][C]0.39[/C][C]0.29[/C][C]0.29[/C][C]0.29[/C][C]0.19[/C][C]0.1[/C][C]0.1[/C][/ROW]
[C]4[/C][C]0.06[/C][C]0.06[/C][C]0.06[/C][C]0.13[/C][C]0.19[/C][C]0.19[/C][C]0.06[/C][C]0.13[/C][C]0.32[/C][C]0.45[/C][C]0.19[/C][C]0.19[/C][C]0.06[/C][C]0.39[/C][C]0.39[/C][C]0.26[/C][C]0.19[/C][C]0.19[/C][C]0.19[/C][C]0.13[/C][C]0.06[/C][C]0.06[/C][/ROW]
[C]4.5[/C][C]0.13[/C][C]0.13[/C][C]0.13[/C][C]0.26[/C][C]0.39[/C][C]0.39[/C][C]0.13[/C][C]0.26[/C][C]0.65[/C][C]0.9[/C][C]0.39[/C][C]0.39[/C][C]0.13[/C][C]0.77[/C][C]0.77[/C][C]0.52[/C][C]0.39[/C][C]0.39[/C][C]0.39[/C][C]0.26[/C][C]0.13[/C][C]0.13[/C][/ROW]
[C]5[/C][C]0.13[/C][C]0.13[/C][C]0.13[/C][C]0.26[/C][C]0.39[/C][C]0.39[/C][C]0.13[/C][C]0.26[/C][C]0.65[/C][C]0.9[/C][C]0.39[/C][C]0.39[/C][C]0.13[/C][C]0.77[/C][C]0.77[/C][C]0.52[/C][C]0.39[/C][C]0.39[/C][C]0.39[/C][C]0.26[/C][C]0.13[/C][C]0.13[/C][/ROW]
[C]5.5[/C][C]0.08[/C][C]0.08[/C][C]0.08[/C][C]0.16[/C][C]0.24[/C][C]0.24[/C][C]0.08[/C][C]0.16[/C][C]0.4[/C][C]0.56[/C][C]0.24[/C][C]0.24[/C][C]0.08[/C][C]0.48[/C][C]0.48[/C][C]0.32[/C][C]0.24[/C][C]0.24[/C][C]0.24[/C][C]0.16[/C][C]0.08[/C][C]0.08[/C][/ROW]
[C]6[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.15[/C][C]0.15[/C][C]0.05[/C][C]0.1[/C][C]0.24[/C][C]0.34[/C][C]0.15[/C][C]0.15[/C][C]0.05[/C][C]0.29[/C][C]0.29[/C][C]0.19[/C][C]0.15[/C][C]0.15[/C][C]0.15[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][/ROW]
[C]6.5[/C][C]0.13[/C][C]0.13[/C][C]0.13[/C][C]0.26[/C][C]0.39[/C][C]0.39[/C][C]0.13[/C][C]0.26[/C][C]0.65[/C][C]0.9[/C][C]0.39[/C][C]0.39[/C][C]0.13[/C][C]0.77[/C][C]0.77[/C][C]0.52[/C][C]0.39[/C][C]0.39[/C][C]0.39[/C][C]0.26[/C][C]0.13[/C][C]0.13[/C][/ROW]
[C]7[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.06[/C][C]0.16[/C][C]0.23[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.19[/C][C]0.19[/C][C]0.13[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.06[/C][C]0.03[/C][C]0.03[/C][/ROW]
[C]7.5[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.1[/C][C]0.15[/C][C]0.15[/C][C]0.05[/C][C]0.1[/C][C]0.24[/C][C]0.34[/C][C]0.15[/C][C]0.15[/C][C]0.05[/C][C]0.29[/C][C]0.29[/C][C]0.19[/C][C]0.15[/C][C]0.15[/C][C]0.15[/C][C]0.1[/C][C]0.05[/C][C]0.05[/C][/ROW]
[C]8.5[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.06[/C][C]0.16[/C][C]0.23[/C][C]0.1[/C][C]0.1[/C][C]0.03[/C][C]0.19[/C][C]0.19[/C][C]0.13[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.06[/C][C]0.03[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266744&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266744&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
Ex x AMS.E
42505254596063646566676869707172737576788184
00.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
0.50.020.020.020.030.050.050.020.030.080.110.050.050.020.10.10.060.050.050.050.030.020.02
10.050.050.050.10.150.150.050.10.240.340.150.150.050.290.290.190.150.150.150.10.050.05
1.50.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
20.020.020.020.030.050.050.020.030.080.110.050.050.020.10.10.060.050.050.050.030.020.02
2.50.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
30.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
3.50.10.10.10.190.290.290.10.190.480.680.290.290.10.580.580.390.290.290.290.190.10.1
40.060.060.060.130.190.190.060.130.320.450.190.190.060.390.390.260.190.190.190.130.060.06
4.50.130.130.130.260.390.390.130.260.650.90.390.390.130.770.770.520.390.390.390.260.130.13
50.130.130.130.260.390.390.130.260.650.90.390.390.130.770.770.520.390.390.390.260.130.13
5.50.080.080.080.160.240.240.080.160.40.560.240.240.080.480.480.320.240.240.240.160.080.08
60.050.050.050.10.150.150.050.10.240.340.150.150.050.290.290.190.150.150.150.10.050.05
6.50.130.130.130.260.390.390.130.260.650.90.390.390.130.770.770.520.390.390.390.260.130.13
70.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03
7.50.050.050.050.10.150.150.050.10.240.340.150.150.050.290.290.190.150.150.150.10.050.05
8.50.030.030.030.060.10.10.030.060.160.230.10.10.030.190.190.130.10.10.10.060.030.03







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic328.03
Degrees of Freedom336
P value0.61

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 328.03 \tabularnewline
Degrees of Freedom & 336 \tabularnewline
P value & 0.61 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266744&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]328.03[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]336[/C][/ROW]
[ROW][C]P value[/C][C]0.61[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266744&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266744&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 Statistic328.03
Degrees of Freedom336
P value0.61



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
R code (references can be found in the software module):
library(vcd)
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi-Squared by Simulation') simulate.p.value=TRUE
x <- t(x)
(z <- array(unlist(x),dim=c(length(x[,1]),length(x[1,]))))
(table1 <- table(z[,cat1],z[,cat2]))
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
bitmap(file='pic1.png')
assoc(ftable(z[,cat1],z[,cat2],row.vars=1,dnn=c(V1,V2)),shade=T)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, table1[nr, nc], 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
(cst<-chisq.test(table1, simulate.p.value=simulate.p.value) )
if (par3 == 'McNemar Chi-Squared') {
(cst <- mcnemar.test(table1))
}
if (par3=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Expected Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, round(cst$expected[nr, nc], digits=2), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Statistical Results',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, cst$method, 2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$parameter, 1,FALSE)
a<-table.row.end(a)
}
}
a<-table.row.start(a)
a<-table.element(a, 'P value', 1, TRUE)
a<-table.element(a, round(cst$p.value, digits=2), 1,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')