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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 and McNemar Tests
Date of computationThu, 25 Nov 2010 18:56:18 +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/2010/Nov/25/t12907113281lpb95bnh1pgltz.htm/, Retrieved Tue, 21 Apr 2026 02:49:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101377, Retrieved Tue, 21 Apr 2026 02:49:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact375

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Chi-Squared and McNemar Tests] [] [2010-11-25 18:56:18] [c984196f1244e05baf3e7c2e52d47a33] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
41	38
39	32
30	35
31	33
34	37
35	29
39	31
34	36
36	35
37	38
38	31
36	34
38	35
39	38
33	37
32	33
36	32
38	38
39	38
32	32
32	33
31	31
39	38
37	39
39	32
41	32
36	35
33	37
33	33
34	33
31	28
27	32
37	31
34	37
34	30
32	33
29	31
36	33
29	31
35	33
37	32
34	33
38	32
35	33
38	28
37	35
38	39
33	34
36	38
38	32
32	38
32	30
32	33
34	38
32	32
37	32
39	34
29	34
37	36
35	34
30	28
38	34
34	35
31	35
34	31
35	37
36	35
30	27
39	40
35	37
38	36
31	38
34	39
38	41
34	27
39	30
37	37
34	31
28	31
37	27
33	36
37	38
35	37
37	33
32	34
33	31
38	39
33	34
29	32
33	33
31	36
36	32
35	41
32	28
29	30
39	36
37	35
35	31
37	34
32	36
38	36
37	35
36	37
32	28
33	39
40	32
38	35
41	39
36	35
43	42
30	34
31	33
32	41
32	33
37	34
37	32
33	40
34	40
33	35
38	36
33	37
31	27
38	39
37	38
33	31
31	33
39	32
44	39
33	36
35	33
32	33
28	32
40	37
27	30
37	38
32	29
28	22
34	35
30	35
35	34
31	35
32	34
30	34
30	35
31	23
40	31
32	27
36	36
32	31
35	32
38	39
42	37
34	38
35	39
35	34
33	31
36	32
32	37
33	36
34	32
32	35
34	36

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time9 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 9 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101377&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]9 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101377&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101377&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 time9 seconds
R Server'George Udny Yule' @ 72.249.76.132






Tabulation of Results
connected x seperate
222327282930313233343536373839404142
27000001010000000000
28100000110000000000
29000001210100000000
30001100000230000000
31011100103021010000
32001211126211110010
33000000302213301100
34001001212022221100
35000010113300301010
36000000031141110000
37001000131231141000
38000100120123014010
39000001130101030100
40000000110000100000
41000000010000011000
42000000000000100000
43000000000000000001
44000000000000001000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline connected x seperate \tabularnewline & 22 & 23 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 & 41 & 42 \tabularnewline 27 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 28 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 29 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 30 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 2 & 3 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 31 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 3 & 0 & 2 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline 32 & 0 & 0 & 1 & 2 & 1 & 1 & 1 & 2 & 6 & 2 & 1 & 1 & 1 & 1 & 0 & 0 & 1 & 0 \tabularnewline 33 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 0 & 2 & 2 & 1 & 3 & 3 & 0 & 1 & 1 & 0 & 0 \tabularnewline 34 & 0 & 0 & 1 & 0 & 0 & 1 & 2 & 1 & 2 & 0 & 2 & 2 & 2 & 2 & 1 & 1 & 0 & 0 \tabularnewline 35 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 3 & 3 & 0 & 0 & 3 & 0 & 1 & 0 & 1 & 0 \tabularnewline 36 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 1 & 1 & 4 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \tabularnewline 37 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 3 & 1 & 2 & 3 & 1 & 1 & 4 & 1 & 0 & 0 & 0 \tabularnewline 38 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 2 & 0 & 1 & 2 & 3 & 0 & 1 & 4 & 0 & 1 & 0 \tabularnewline 39 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 3 & 0 & 1 & 0 & 1 & 0 & 3 & 0 & 1 & 0 & 0 \tabularnewline 40 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline 41 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \tabularnewline 42 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline 43 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline 44 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101377&T=1

[TABLE]
[ROW]
Tabulation of Results[/C][/ROW] [ROW]connected x seperate[/C][/ROW] [ROW][C] [/C][C]22[/C][C]23[/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][C]42[/C][/ROW] [C]27[/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]28[/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]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]29[/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][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]30[/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]0[/C][C]2[/C][C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]31[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]3[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]32[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][C]6[/C][C]2[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [C]33[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/C][C]2[/C][C]2[/C][C]1[/C][C]3[/C][C]3[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]34[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]2[/C][C]0[/C][C]2[/C][C]2[/C][C]2[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]35[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]3[/C][C]3[/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]36[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]1[/C][C]1[/C][C]4[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]37[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]1[/C][C]2[/C][C]3[/C][C]1[/C][C]1[/C][C]4[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]38[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]0[/C][C]1[/C][C]4[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [C]39[/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]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]3[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW] [C]40[/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][/ROW] [C]41[/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]1[/C][C]0[/C][C]0[/C][C]0[/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]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]43[/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]1[/C][/ROW] [C]44[/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]0[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101377&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101377&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
connected x seperate
222327282930313233343536373839404142
27000001010000000000
28100000110000000000
29000001210100000000
30001100000230000000
31011100103021010000
32001211126211110010
33000000302213301100
34001001212022221100
35000010113300301010
36000000031141110000
37001000131231141000
38000100120123014010
39000001130101030100
40000000110000100000
41000000010000011000
42000000000000100000
43000000000000000001
44000000000000001000






Tabulation of Expected Results
connected x seperate
222327282930313233343536373839404142
270.010.010.060.060.020.060.190.250.220.190.220.160.160.170.120.040.040.01
280.020.020.090.090.040.090.280.370.330.280.330.240.240.260.190.060.060.02
290.030.030.150.150.060.150.460.620.560.460.560.40.40.430.310.090.090.03
300.040.040.220.220.090.220.650.860.780.650.780.560.560.60.430.130.130.04
310.070.070.340.340.140.341.021.361.221.021.220.880.880.950.680.20.20.07
320.130.130.650.650.260.651.942.592.331.942.331.691.691.811.30.390.390.13
330.10.10.490.490.20.491.481.981.781.481.781.281.281.380.990.30.30.1
340.10.10.520.520.210.521.572.11.891.571.891.361.361.471.050.310.310.1
350.090.090.430.430.170.431.31.731.561.31.561.121.121.210.860.260.260.09
360.070.070.370.370.150.371.111.481.331.111.330.960.961.040.740.220.220.07
370.110.110.560.560.220.561.672.2221.6721.441.441.561.110.330.330.11
380.10.10.490.490.20.491.481.981.781.481.781.281.281.380.990.30.30.1
390.070.070.340.340.140.341.021.361.221.021.220.880.880.950.680.20.20.07
400.020.020.090.090.040.090.280.370.330.280.330.240.240.260.190.060.060.02
410.020.020.090.090.040.090.280.370.330.280.330.240.240.260.190.060.060.02
420.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01
430.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01
440.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline connected x seperate \tabularnewline & 22 & 23 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 & 41 & 42 \tabularnewline 27 & 0.01 & 0.01 & 0.06 & 0.06 & 0.02 & 0.06 & 0.19 & 0.25 & 0.22 & 0.19 & 0.22 & 0.16 & 0.16 & 0.17 & 0.12 & 0.04 & 0.04 & 0.01 \tabularnewline 28 & 0.02 & 0.02 & 0.09 & 0.09 & 0.04 & 0.09 & 0.28 & 0.37 & 0.33 & 0.28 & 0.33 & 0.24 & 0.24 & 0.26 & 0.19 & 0.06 & 0.06 & 0.02 \tabularnewline 29 & 0.03 & 0.03 & 0.15 & 0.15 & 0.06 & 0.15 & 0.46 & 0.62 & 0.56 & 0.46 & 0.56 & 0.4 & 0.4 & 0.43 & 0.31 & 0.09 & 0.09 & 0.03 \tabularnewline 30 & 0.04 & 0.04 & 0.22 & 0.22 & 0.09 & 0.22 & 0.65 & 0.86 & 0.78 & 0.65 & 0.78 & 0.56 & 0.56 & 0.6 & 0.43 & 0.13 & 0.13 & 0.04 \tabularnewline 31 & 0.07 & 0.07 & 0.34 & 0.34 & 0.14 & 0.34 & 1.02 & 1.36 & 1.22 & 1.02 & 1.22 & 0.88 & 0.88 & 0.95 & 0.68 & 0.2 & 0.2 & 0.07 \tabularnewline 32 & 0.13 & 0.13 & 0.65 & 0.65 & 0.26 & 0.65 & 1.94 & 2.59 & 2.33 & 1.94 & 2.33 & 1.69 & 1.69 & 1.81 & 1.3 & 0.39 & 0.39 & 0.13 \tabularnewline 33 & 0.1 & 0.1 & 0.49 & 0.49 & 0.2 & 0.49 & 1.48 & 1.98 & 1.78 & 1.48 & 1.78 & 1.28 & 1.28 & 1.38 & 0.99 & 0.3 & 0.3 & 0.1 \tabularnewline 34 & 0.1 & 0.1 & 0.52 & 0.52 & 0.21 & 0.52 & 1.57 & 2.1 & 1.89 & 1.57 & 1.89 & 1.36 & 1.36 & 1.47 & 1.05 & 0.31 & 0.31 & 0.1 \tabularnewline 35 & 0.09 & 0.09 & 0.43 & 0.43 & 0.17 & 0.43 & 1.3 & 1.73 & 1.56 & 1.3 & 1.56 & 1.12 & 1.12 & 1.21 & 0.86 & 0.26 & 0.26 & 0.09 \tabularnewline 36 & 0.07 & 0.07 & 0.37 & 0.37 & 0.15 & 0.37 & 1.11 & 1.48 & 1.33 & 1.11 & 1.33 & 0.96 & 0.96 & 1.04 & 0.74 & 0.22 & 0.22 & 0.07 \tabularnewline 37 & 0.11 & 0.11 & 0.56 & 0.56 & 0.22 & 0.56 & 1.67 & 2.22 & 2 & 1.67 & 2 & 1.44 & 1.44 & 1.56 & 1.11 & 0.33 & 0.33 & 0.11 \tabularnewline 38 & 0.1 & 0.1 & 0.49 & 0.49 & 0.2 & 0.49 & 1.48 & 1.98 & 1.78 & 1.48 & 1.78 & 1.28 & 1.28 & 1.38 & 0.99 & 0.3 & 0.3 & 0.1 \tabularnewline 39 & 0.07 & 0.07 & 0.34 & 0.34 & 0.14 & 0.34 & 1.02 & 1.36 & 1.22 & 1.02 & 1.22 & 0.88 & 0.88 & 0.95 & 0.68 & 0.2 & 0.2 & 0.07 \tabularnewline 40 & 0.02 & 0.02 & 0.09 & 0.09 & 0.04 & 0.09 & 0.28 & 0.37 & 0.33 & 0.28 & 0.33 & 0.24 & 0.24 & 0.26 & 0.19 & 0.06 & 0.06 & 0.02 \tabularnewline 41 & 0.02 & 0.02 & 0.09 & 0.09 & 0.04 & 0.09 & 0.28 & 0.37 & 0.33 & 0.28 & 0.33 & 0.24 & 0.24 & 0.26 & 0.19 & 0.06 & 0.06 & 0.02 \tabularnewline 42 & 0.01 & 0.01 & 0.03 & 0.03 & 0.01 & 0.03 & 0.09 & 0.12 & 0.11 & 0.09 & 0.11 & 0.08 & 0.08 & 0.09 & 0.06 & 0.02 & 0.02 & 0.01 \tabularnewline 43 & 0.01 & 0.01 & 0.03 & 0.03 & 0.01 & 0.03 & 0.09 & 0.12 & 0.11 & 0.09 & 0.11 & 0.08 & 0.08 & 0.09 & 0.06 & 0.02 & 0.02 & 0.01 \tabularnewline 44 & 0.01 & 0.01 & 0.03 & 0.03 & 0.01 & 0.03 & 0.09 & 0.12 & 0.11 & 0.09 & 0.11 & 0.08 & 0.08 & 0.09 & 0.06 & 0.02 & 0.02 & 0.01 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101377&T=2

[TABLE]
[ROW]
Tabulation of Expected Results[/C][/ROW] [ROW]connected x seperate[/C][/ROW] [ROW][C] [/C][C]22[/C][C]23[/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][C]42[/C][/ROW] [C]27[/C][C]0.01[/C][C]0.01[/C][C]0.06[/C][C]0.06[/C][C]0.02[/C][C]0.06[/C][C]0.19[/C][C]0.25[/C][C]0.22[/C][C]0.19[/C][C]0.22[/C][C]0.16[/C][C]0.16[/C][C]0.17[/C][C]0.12[/C][C]0.04[/C][C]0.04[/C][C]0.01[/C][/ROW] [C]28[/C][C]0.02[/C][C]0.02[/C][C]0.09[/C][C]0.09[/C][C]0.04[/C][C]0.09[/C][C]0.28[/C][C]0.37[/C][C]0.33[/C][C]0.28[/C][C]0.33[/C][C]0.24[/C][C]0.24[/C][C]0.26[/C][C]0.19[/C][C]0.06[/C][C]0.06[/C][C]0.02[/C][/ROW] [C]29[/C][C]0.03[/C][C]0.03[/C][C]0.15[/C][C]0.15[/C][C]0.06[/C][C]0.15[/C][C]0.46[/C][C]0.62[/C][C]0.56[/C][C]0.46[/C][C]0.56[/C][C]0.4[/C][C]0.4[/C][C]0.43[/C][C]0.31[/C][C]0.09[/C][C]0.09[/C][C]0.03[/C][/ROW] [C]30[/C][C]0.04[/C][C]0.04[/C][C]0.22[/C][C]0.22[/C][C]0.09[/C][C]0.22[/C][C]0.65[/C][C]0.86[/C][C]0.78[/C][C]0.65[/C][C]0.78[/C][C]0.56[/C][C]0.56[/C][C]0.6[/C][C]0.43[/C][C]0.13[/C][C]0.13[/C][C]0.04[/C][/ROW] [C]31[/C][C]0.07[/C][C]0.07[/C][C]0.34[/C][C]0.34[/C][C]0.14[/C][C]0.34[/C][C]1.02[/C][C]1.36[/C][C]1.22[/C][C]1.02[/C][C]1.22[/C][C]0.88[/C][C]0.88[/C][C]0.95[/C][C]0.68[/C][C]0.2[/C][C]0.2[/C][C]0.07[/C][/ROW] [C]32[/C][C]0.13[/C][C]0.13[/C][C]0.65[/C][C]0.65[/C][C]0.26[/C][C]0.65[/C][C]1.94[/C][C]2.59[/C][C]2.33[/C][C]1.94[/C][C]2.33[/C][C]1.69[/C][C]1.69[/C][C]1.81[/C][C]1.3[/C][C]0.39[/C][C]0.39[/C][C]0.13[/C][/ROW] [C]33[/C][C]0.1[/C][C]0.1[/C][C]0.49[/C][C]0.49[/C][C]0.2[/C][C]0.49[/C][C]1.48[/C][C]1.98[/C][C]1.78[/C][C]1.48[/C][C]1.78[/C][C]1.28[/C][C]1.28[/C][C]1.38[/C][C]0.99[/C][C]0.3[/C][C]0.3[/C][C]0.1[/C][/ROW] [C]34[/C][C]0.1[/C][C]0.1[/C][C]0.52[/C][C]0.52[/C][C]0.21[/C][C]0.52[/C][C]1.57[/C][C]2.1[/C][C]1.89[/C][C]1.57[/C][C]1.89[/C][C]1.36[/C][C]1.36[/C][C]1.47[/C][C]1.05[/C][C]0.31[/C][C]0.31[/C][C]0.1[/C][/ROW] [C]35[/C][C]0.09[/C][C]0.09[/C][C]0.43[/C][C]0.43[/C][C]0.17[/C][C]0.43[/C][C]1.3[/C][C]1.73[/C][C]1.56[/C][C]1.3[/C][C]1.56[/C][C]1.12[/C][C]1.12[/C][C]1.21[/C][C]0.86[/C][C]0.26[/C][C]0.26[/C][C]0.09[/C][/ROW] [C]36[/C][C]0.07[/C][C]0.07[/C][C]0.37[/C][C]0.37[/C][C]0.15[/C][C]0.37[/C][C]1.11[/C][C]1.48[/C][C]1.33[/C][C]1.11[/C][C]1.33[/C][C]0.96[/C][C]0.96[/C][C]1.04[/C][C]0.74[/C][C]0.22[/C][C]0.22[/C][C]0.07[/C][/ROW] [C]37[/C][C]0.11[/C][C]0.11[/C][C]0.56[/C][C]0.56[/C][C]0.22[/C][C]0.56[/C][C]1.67[/C][C]2.22[/C][C]2[/C][C]1.67[/C][C]2[/C][C]1.44[/C][C]1.44[/C][C]1.56[/C][C]1.11[/C][C]0.33[/C][C]0.33[/C][C]0.11[/C][/ROW] [C]38[/C][C]0.1[/C][C]0.1[/C][C]0.49[/C][C]0.49[/C][C]0.2[/C][C]0.49[/C][C]1.48[/C][C]1.98[/C][C]1.78[/C][C]1.48[/C][C]1.78[/C][C]1.28[/C][C]1.28[/C][C]1.38[/C][C]0.99[/C][C]0.3[/C][C]0.3[/C][C]0.1[/C][/ROW] [C]39[/C][C]0.07[/C][C]0.07[/C][C]0.34[/C][C]0.34[/C][C]0.14[/C][C]0.34[/C][C]1.02[/C][C]1.36[/C][C]1.22[/C][C]1.02[/C][C]1.22[/C][C]0.88[/C][C]0.88[/C][C]0.95[/C][C]0.68[/C][C]0.2[/C][C]0.2[/C][C]0.07[/C][/ROW] [C]40[/C][C]0.02[/C][C]0.02[/C][C]0.09[/C][C]0.09[/C][C]0.04[/C][C]0.09[/C][C]0.28[/C][C]0.37[/C][C]0.33[/C][C]0.28[/C][C]0.33[/C][C]0.24[/C][C]0.24[/C][C]0.26[/C][C]0.19[/C][C]0.06[/C][C]0.06[/C][C]0.02[/C][/ROW] [C]41[/C][C]0.02[/C][C]0.02[/C][C]0.09[/C][C]0.09[/C][C]0.04[/C][C]0.09[/C][C]0.28[/C][C]0.37[/C][C]0.33[/C][C]0.28[/C][C]0.33[/C][C]0.24[/C][C]0.24[/C][C]0.26[/C][C]0.19[/C][C]0.06[/C][C]0.06[/C][C]0.02[/C][/ROW] [C]42[/C][C]0.01[/C][C]0.01[/C][C]0.03[/C][C]0.03[/C][C]0.01[/C][C]0.03[/C][C]0.09[/C][C]0.12[/C][C]0.11[/C][C]0.09[/C][C]0.11[/C][C]0.08[/C][C]0.08[/C][C]0.09[/C][C]0.06[/C][C]0.02[/C][C]0.02[/C][C]0.01[/C][/ROW] [C]43[/C][C]0.01[/C][C]0.01[/C][C]0.03[/C][C]0.03[/C][C]0.01[/C][C]0.03[/C][C]0.09[/C][C]0.12[/C][C]0.11[/C][C]0.09[/C][C]0.11[/C][C]0.08[/C][C]0.08[/C][C]0.09[/C][C]0.06[/C][C]0.02[/C][C]0.02[/C][C]0.01[/C][/ROW] [C]44[/C][C]0.01[/C][C]0.01[/C][C]0.03[/C][C]0.03[/C][C]0.01[/C][C]0.03[/C][C]0.09[/C][C]0.12[/C][C]0.11[/C][C]0.09[/C][C]0.11[/C][C]0.08[/C][C]0.08[/C][C]0.09[/C][C]0.06[/C][C]0.02[/C][C]0.02[/C][C]0.01[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101377&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101377&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
connected x seperate
222327282930313233343536373839404142
270.010.010.060.060.020.060.190.250.220.190.220.160.160.170.120.040.040.01
280.020.020.090.090.040.090.280.370.330.280.330.240.240.260.190.060.060.02
290.030.030.150.150.060.150.460.620.560.460.560.40.40.430.310.090.090.03
300.040.040.220.220.090.220.650.860.780.650.780.560.560.60.430.130.130.04
310.070.070.340.340.140.341.021.361.221.021.220.880.880.950.680.20.20.07
320.130.130.650.650.260.651.942.592.331.942.331.691.691.811.30.390.390.13
330.10.10.490.490.20.491.481.981.781.481.781.281.281.380.990.30.30.1
340.10.10.520.520.210.521.572.11.891.571.891.361.361.471.050.310.310.1
350.090.090.430.430.170.431.31.731.561.31.561.121.121.210.860.260.260.09
360.070.070.370.370.150.371.111.481.331.111.330.960.961.040.740.220.220.07
370.110.110.560.560.220.561.672.2221.6721.441.441.561.110.330.330.11
380.10.10.490.490.20.491.481.981.781.481.781.281.281.380.990.30.30.1
390.070.070.340.340.140.341.021.361.221.021.220.880.880.950.680.20.20.07
400.020.020.090.090.040.090.280.370.330.280.330.240.240.260.190.060.060.02
410.020.020.090.090.040.090.280.370.330.280.330.240.240.260.190.060.060.02
420.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01
430.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01
440.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01






Statistical Results
Pearson's Chi-squared test
Chi Square Statistic447.19
Degrees of Freedom289
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 447.19 \tabularnewline
Degrees of Freedom & 289 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101377&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]447.19[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]289[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101377&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101377&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
Chi Square Statistic447.19
Degrees of Freedom289
P value0


Figures (Output of Computation)

Input Parameters & R Code

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 != 'McNemar Chi-Squared') {
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)
a<-table.element(a, 'Chi Square Statistic', 1, TRUE)
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
a<-table.row.end(a)
if(!simulate.p.value){
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$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')