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Description of Statistical Computation

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 computationMon, 22 Oct 2012 17:44:25 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/22/t135094228400lg5nod2nnqxq1.htm/, Retrieved Fri, 03 May 2024 19:04:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=182444, Retrieved Fri, 03 May 2024 19:04:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact67

Tree of Dependent Computations

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] [separate en depre...] [2012-10-22 21:44:25] [12383fa010e7b5252e187b5f14cfe683] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12	38
11	32
14	35
12	33
21	37
12	29
22	31
11	36
10	35
13	38
10	31
8	34
15	35
14	38
10	37
14	33
14	32
11	38
10	38
13	32
7	33
14	31
12	38
14	39
11	32
9	32
11	35
15	37
14	33
13	33
9	28
15	32
10	31
11	37
13	30
8	33
20	31
12	33
10	31
10	33
9	32
14	33
8	32
14	33
11	28
13	35
9	39
11	34
15	38
11	32
10	38
14	30
18	33
14	38
11	32
12	32
13	34
9	34
10	36
15	34
20	28
12	34
12	35
14	35
13	31
11	37
17	35
12	27
13	40
14	37
13	36
15	38
13	39
10	41
11	27
19	30
13	37
17	31
13	31
9	27
11	36
10	38
9	37
12	33
12	34
13	31
13	39
12	34
15	32
22	33
13	36
15	32
13	41
15	28
10	30
11	36
16	35
11	31
11	34
10	36
10	36
16	35
12	37
11	28
16	39
19	32

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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
R Framework error message & 
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182444&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]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182444&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182444&T=0

As an alternative you can also use a QR Code:  
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 time4 seconds
R Server'George Udny Yule' @ yule.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Tabulation of Results
A x B
272829303132333435363738394041
7000000100000000
8000001110000000
9110002010010100
10000130101313001
11120014021321000
12101001331012000
13000131111211211
14000111402012100
15010003011012000
16000000002000100
17000010001000000
18000000100000000
19000101000000000
20010010000000000
21000000000010000
22000010100000000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline A x B \tabularnewline & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 & 41 \tabularnewline 7 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 8 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 9 & 1 & 1 & 0 & 0 & 0 & 2 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \tabularnewline 10 & 0 & 0 & 0 & 1 & 3 & 0 & 1 & 0 & 1 & 3 & 1 & 3 & 0 & 0 & 1 \tabularnewline 11 & 1 & 2 & 0 & 0 & 1 & 4 & 0 & 2 & 1 & 3 & 2 & 1 & 0 & 0 & 0 \tabularnewline 12 & 1 & 0 & 1 & 0 & 0 & 1 & 3 & 3 & 1 & 0 & 1 & 2 & 0 & 0 & 0 \tabularnewline 13 & 0 & 0 & 0 & 1 & 3 & 1 & 1 & 1 & 1 & 2 & 1 & 1 & 2 & 1 & 1 \tabularnewline 14 & 0 & 0 & 0 & 1 & 1 & 1 & 4 & 0 & 2 & 0 & 1 & 2 & 1 & 0 & 0 \tabularnewline 15 & 0 & 1 & 0 & 0 & 0 & 3 & 0 & 1 & 1 & 0 & 1 & 2 & 0 & 0 & 0 \tabularnewline 16 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline 17 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 18 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 19 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 20 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 21 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline 22 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=182444&T=1

[TABLE]
[ROW]
Tabulation of Results[/C][/ROW] [ROW]A x B[/C][/ROW] [ROW][C] [/C][C]27[/C][C]28[/C][C]29[/C][C]30[/C][C]31[/C][C]32[/C][C]33[/C][C]34[/C][C]35[/C][C]36[/C][C]37[/C][C]38[/C][C]39[/C][C]40[/C][C]41[/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]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]8[/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][C]0[/C][/ROW] [C]9[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]10[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]3[/C][C]1[/C][C]3[/C][C]0[/C][C]0[/C][C]1[/C][/ROW] [C]11[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]1[/C][C]4[/C][C]0[/C][C]2[/C][C]1[/C][C]3[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]12[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]3[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]13[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][/ROW] [C]14[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]4[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]15[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/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]16[/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]2[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]17[/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][C]0[/C][C]0[/C][/ROW] [C]18[/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][/ROW] [C]19[/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][/ROW] [C]20[/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][/ROW] [C]21[/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]0[/C][/ROW] [C]22[/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][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=182444&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182444&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Results
A x B
272829303132333435363738394041
7000000100000000
8000001110000000
9110002010010100
10000130101313001
11120014021321000
12101001331012000
13000131111211211
14000111402012100
15010003011012000
16000000002000100
17000010001000000
18000000100000000
19000101000000000
20010010000000000
21000000000010000
22000010100000000






Tabulation of Expected Results
A x B
272829303132333435363738394041
70.030.050.010.040.10.130.120.080.090.080.080.10.050.010.02
80.080.140.030.110.310.40.370.250.280.230.250.310.140.030.06
90.20.330.070.260.730.920.860.590.660.530.590.730.330.070.13
100.40.660.130.531.451.851.721.191.321.061.191.450.660.130.26
110.480.80.160.641.762.252.081.441.61.281.441.760.80.160.32
120.370.610.120.491.351.721.591.11.230.981.11.350.610.120.25
130.450.750.150.61.662.111.961.361.511.211.361.660.750.150.3
140.370.610.120.491.351.721.591.11.230.981.11.350.610.120.25
150.250.420.080.340.931.191.10.760.850.680.760.930.420.080.17
160.080.140.030.110.310.40.370.250.280.230.250.310.140.030.06
170.060.090.020.080.210.260.250.170.190.150.170.210.090.020.04
180.030.050.010.040.10.130.120.080.090.080.080.10.050.010.02
190.060.090.020.080.210.260.250.170.190.150.170.210.090.020.04
200.060.090.020.080.210.260.250.170.190.150.170.210.090.020.04
210.030.050.010.040.10.130.120.080.090.080.080.10.050.010.02
220.060.090.020.080.210.260.250.170.190.150.170.210.090.020.04

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline A x B \tabularnewline & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 & 41 \tabularnewline 7 & 0.03 & 0.05 & 0.01 & 0.04 & 0.1 & 0.13 & 0.12 & 0.08 & 0.09 & 0.08 & 0.08 & 0.1 & 0.05 & 0.01 & 0.02 \tabularnewline 8 & 0.08 & 0.14 & 0.03 & 0.11 & 0.31 & 0.4 & 0.37 & 0.25 & 0.28 & 0.23 & 0.25 & 0.31 & 0.14 & 0.03 & 0.06 \tabularnewline 9 & 0.2 & 0.33 & 0.07 & 0.26 & 0.73 & 0.92 & 0.86 & 0.59 & 0.66 & 0.53 & 0.59 & 0.73 & 0.33 & 0.07 & 0.13 \tabularnewline 10 & 0.4 & 0.66 & 0.13 & 0.53 & 1.45 & 1.85 & 1.72 & 1.19 & 1.32 & 1.06 & 1.19 & 1.45 & 0.66 & 0.13 & 0.26 \tabularnewline 11 & 0.48 & 0.8 & 0.16 & 0.64 & 1.76 & 2.25 & 2.08 & 1.44 & 1.6 & 1.28 & 1.44 & 1.76 & 0.8 & 0.16 & 0.32 \tabularnewline 12 & 0.37 & 0.61 & 0.12 & 0.49 & 1.35 & 1.72 & 1.59 & 1.1 & 1.23 & 0.98 & 1.1 & 1.35 & 0.61 & 0.12 & 0.25 \tabularnewline 13 & 0.45 & 0.75 & 0.15 & 0.6 & 1.66 & 2.11 & 1.96 & 1.36 & 1.51 & 1.21 & 1.36 & 1.66 & 0.75 & 0.15 & 0.3 \tabularnewline 14 & 0.37 & 0.61 & 0.12 & 0.49 & 1.35 & 1.72 & 1.59 & 1.1 & 1.23 & 0.98 & 1.1 & 1.35 & 0.61 & 0.12 & 0.25 \tabularnewline 15 & 0.25 & 0.42 & 0.08 & 0.34 & 0.93 & 1.19 & 1.1 & 0.76 & 0.85 & 0.68 & 0.76 & 0.93 & 0.42 & 0.08 & 0.17 \tabularnewline 16 & 0.08 & 0.14 & 0.03 & 0.11 & 0.31 & 0.4 & 0.37 & 0.25 & 0.28 & 0.23 & 0.25 & 0.31 & 0.14 & 0.03 & 0.06 \tabularnewline 17 & 0.06 & 0.09 & 0.02 & 0.08 & 0.21 & 0.26 & 0.25 & 0.17 & 0.19 & 0.15 & 0.17 & 0.21 & 0.09 & 0.02 & 0.04 \tabularnewline 18 & 0.03 & 0.05 & 0.01 & 0.04 & 0.1 & 0.13 & 0.12 & 0.08 & 0.09 & 0.08 & 0.08 & 0.1 & 0.05 & 0.01 & 0.02 \tabularnewline 19 & 0.06 & 0.09 & 0.02 & 0.08 & 0.21 & 0.26 & 0.25 & 0.17 & 0.19 & 0.15 & 0.17 & 0.21 & 0.09 & 0.02 & 0.04 \tabularnewline 20 & 0.06 & 0.09 & 0.02 & 0.08 & 0.21 & 0.26 & 0.25 & 0.17 & 0.19 & 0.15 & 0.17 & 0.21 & 0.09 & 0.02 & 0.04 \tabularnewline 21 & 0.03 & 0.05 & 0.01 & 0.04 & 0.1 & 0.13 & 0.12 & 0.08 & 0.09 & 0.08 & 0.08 & 0.1 & 0.05 & 0.01 & 0.02 \tabularnewline 22 & 0.06 & 0.09 & 0.02 & 0.08 & 0.21 & 0.26 & 0.25 & 0.17 & 0.19 & 0.15 & 0.17 & 0.21 & 0.09 & 0.02 & 0.04 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=182444&T=2

[TABLE]
[ROW]
Tabulation of Expected Results[/C][/ROW] [ROW]A x B[/C][/ROW] [ROW][C] [/C][C]27[/C][C]28[/C][C]29[/C][C]30[/C][C]31[/C][C]32[/C][C]33[/C][C]34[/C][C]35[/C][C]36[/C][C]37[/C][C]38[/C][C]39[/C][C]40[/C][C]41[/C][/ROW] [C]7[/C][C]0.03[/C][C]0.05[/C][C]0.01[/C][C]0.04[/C][C]0.1[/C][C]0.13[/C][C]0.12[/C][C]0.08[/C][C]0.09[/C][C]0.08[/C][C]0.08[/C][C]0.1[/C][C]0.05[/C][C]0.01[/C][C]0.02[/C][/ROW] [C]8[/C][C]0.08[/C][C]0.14[/C][C]0.03[/C][C]0.11[/C][C]0.31[/C][C]0.4[/C][C]0.37[/C][C]0.25[/C][C]0.28[/C][C]0.23[/C][C]0.25[/C][C]0.31[/C][C]0.14[/C][C]0.03[/C][C]0.06[/C][/ROW] [C]9[/C][C]0.2[/C][C]0.33[/C][C]0.07[/C][C]0.26[/C][C]0.73[/C][C]0.92[/C][C]0.86[/C][C]0.59[/C][C]0.66[/C][C]0.53[/C][C]0.59[/C][C]0.73[/C][C]0.33[/C][C]0.07[/C][C]0.13[/C][/ROW] [C]10[/C][C]0.4[/C][C]0.66[/C][C]0.13[/C][C]0.53[/C][C]1.45[/C][C]1.85[/C][C]1.72[/C][C]1.19[/C][C]1.32[/C][C]1.06[/C][C]1.19[/C][C]1.45[/C][C]0.66[/C][C]0.13[/C][C]0.26[/C][/ROW] [C]11[/C][C]0.48[/C][C]0.8[/C][C]0.16[/C][C]0.64[/C][C]1.76[/C][C]2.25[/C][C]2.08[/C][C]1.44[/C][C]1.6[/C][C]1.28[/C][C]1.44[/C][C]1.76[/C][C]0.8[/C][C]0.16[/C][C]0.32[/C][/ROW] [C]12[/C][C]0.37[/C][C]0.61[/C][C]0.12[/C][C]0.49[/C][C]1.35[/C][C]1.72[/C][C]1.59[/C][C]1.1[/C][C]1.23[/C][C]0.98[/C][C]1.1[/C][C]1.35[/C][C]0.61[/C][C]0.12[/C][C]0.25[/C][/ROW] [C]13[/C][C]0.45[/C][C]0.75[/C][C]0.15[/C][C]0.6[/C][C]1.66[/C][C]2.11[/C][C]1.96[/C][C]1.36[/C][C]1.51[/C][C]1.21[/C][C]1.36[/C][C]1.66[/C][C]0.75[/C][C]0.15[/C][C]0.3[/C][/ROW] [C]14[/C][C]0.37[/C][C]0.61[/C][C]0.12[/C][C]0.49[/C][C]1.35[/C][C]1.72[/C][C]1.59[/C][C]1.1[/C][C]1.23[/C][C]0.98[/C][C]1.1[/C][C]1.35[/C][C]0.61[/C][C]0.12[/C][C]0.25[/C][/ROW] [C]15[/C][C]0.25[/C][C]0.42[/C][C]0.08[/C][C]0.34[/C][C]0.93[/C][C]1.19[/C][C]1.1[/C][C]0.76[/C][C]0.85[/C][C]0.68[/C][C]0.76[/C][C]0.93[/C][C]0.42[/C][C]0.08[/C][C]0.17[/C][/ROW] [C]16[/C][C]0.08[/C][C]0.14[/C][C]0.03[/C][C]0.11[/C][C]0.31[/C][C]0.4[/C][C]0.37[/C][C]0.25[/C][C]0.28[/C][C]0.23[/C][C]0.25[/C][C]0.31[/C][C]0.14[/C][C]0.03[/C][C]0.06[/C][/ROW] [C]17[/C][C]0.06[/C][C]0.09[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.26[/C][C]0.25[/C][C]0.17[/C][C]0.19[/C][C]0.15[/C][C]0.17[/C][C]0.21[/C][C]0.09[/C][C]0.02[/C][C]0.04[/C][/ROW] [C]18[/C][C]0.03[/C][C]0.05[/C][C]0.01[/C][C]0.04[/C][C]0.1[/C][C]0.13[/C][C]0.12[/C][C]0.08[/C][C]0.09[/C][C]0.08[/C][C]0.08[/C][C]0.1[/C][C]0.05[/C][C]0.01[/C][C]0.02[/C][/ROW] [C]19[/C][C]0.06[/C][C]0.09[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.26[/C][C]0.25[/C][C]0.17[/C][C]0.19[/C][C]0.15[/C][C]0.17[/C][C]0.21[/C][C]0.09[/C][C]0.02[/C][C]0.04[/C][/ROW] [C]20[/C][C]0.06[/C][C]0.09[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.26[/C][C]0.25[/C][C]0.17[/C][C]0.19[/C][C]0.15[/C][C]0.17[/C][C]0.21[/C][C]0.09[/C][C]0.02[/C][C]0.04[/C][/ROW] [C]21[/C][C]0.03[/C][C]0.05[/C][C]0.01[/C][C]0.04[/C][C]0.1[/C][C]0.13[/C][C]0.12[/C][C]0.08[/C][C]0.09[/C][C]0.08[/C][C]0.08[/C][C]0.1[/C][C]0.05[/C][C]0.01[/C][C]0.02[/C][/ROW] [C]22[/C][C]0.06[/C][C]0.09[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.26[/C][C]0.25[/C][C]0.17[/C][C]0.19[/C][C]0.15[/C][C]0.17[/C][C]0.21[/C][C]0.09[/C][C]0.02[/C][C]0.04[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=182444&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182444&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
A x B
272829303132333435363738394041
70.030.050.010.040.10.130.120.080.090.080.080.10.050.010.02
80.080.140.030.110.310.40.370.250.280.230.250.310.140.030.06
90.20.330.070.260.730.920.860.590.660.530.590.730.330.070.13
100.40.660.130.531.451.851.721.191.321.061.191.450.660.130.26
110.480.80.160.641.762.252.081.441.61.281.441.760.80.160.32
120.370.610.120.491.351.721.591.11.230.981.11.350.610.120.25
130.450.750.150.61.662.111.961.361.511.211.361.660.750.150.3
140.370.610.120.491.351.721.591.11.230.981.11.350.610.120.25
150.250.420.080.340.931.191.10.760.850.680.760.930.420.080.17
160.080.140.030.110.310.40.370.250.280.230.250.310.140.030.06
170.060.090.020.080.210.260.250.170.190.150.170.210.090.020.04
180.030.050.010.040.10.130.120.080.090.080.080.10.050.010.02
190.060.090.020.080.210.260.250.170.190.150.170.210.090.020.04
200.060.090.020.080.210.260.250.170.190.150.170.210.090.020.04
210.030.050.010.040.10.130.120.080.090.080.080.10.050.010.02
220.060.090.020.080.210.260.250.170.190.150.170.210.090.020.04






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic179.44
Degrees of Freedom210
P value0.94

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 179.44 \tabularnewline
Degrees of Freedom & 210 \tabularnewline
P value & 0.94 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182444&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]179.44[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]210[/C][/ROW]
[ROW][C]P value[/C][C]0.94[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182444&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182444&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic179.44
Degrees of Freedom210
P value0.94


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;
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')