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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, 26 Nov 2012 08:46:37 -0500
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/Nov/26/t1353937629njrznd79gxo50ns.htm/, Retrieved Mon, 29 Apr 2024 00:44:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=193181, Retrieved Mon, 29 Apr 2024 00:44:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact102

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Mean with known Variance - Sample Size] [9] [2012-10-07 19:21:21] [0dc867bfbaab36a894719867823e3cb9]
- RMPD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-Squared Test CxS] [2012-11-26 13:46:37] [447cab31e466d1c88f957d20e303ed40] [Current]
-   P       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Two Sample Chi-Sq...] [2012-11-30 13:16:55] [0dc867bfbaab36a894719867823e3cb9]
- R PD      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi Squared Exact] [2012-12-16 10:03:58] [0dc867bfbaab36a894719867823e3cb9]
-   PD      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi Squared] [2012-12-16 10:09:14] [0dc867bfbaab36a894719867823e3cb9]
-             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-Squared test] [2012-12-19 12:49:13] [3ee3949b5f2daf713678f5a72e9e7041]
- RM D      [Pearson Correlation] [Correlation] [2012-12-16 10:51:50] [0dc867bfbaab36a894719867823e3cb9]
-             [Pearson Correlation] [Correlation] [2012-12-19 12:51:55] [3ee3949b5f2daf713678f5a72e9e7041]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
41	38	13	12
39	32	16	11
30	35	19	15
31	33	15	6
34	37	14	13
35	29	13	10
39	31	19	12
34	36	15	14
36	35	14	12
37	38	15	6
38	31	16	10
36	34	16	12
38	35	16	12
39	38	16	11
33	37	17	15
32	33	15	12
36	32	15	10
38	38	20	12
39	38	18	11
32	32	16	12
32	33	16	11
31	31	16	12
39	38	19	13
37	39	16	11
39	32	17	9
41	32	17	13
36	35	16	10
33	37	15	14
33	33	16	12
34	33	14	10
31	28	15	12
27	32	12	8
37	31	14	10
34	37	16	12
34	30	14	12
32	33	7	7
29	31	10	6
36	33	14	12
29	31	16	10
35	33	16	10
37	32	16	10
34	33	14	12
38	32	20	15
35	33	14	10
38	28	14	10
37	35	11	12
38	39	14	13
33	34	15	11
36	38	16	11
38	32	14	12
32	38	16	14
32	30	14	10
32	33	12	12
34	38	16	13
32	32	9	5
37	32	14	6
39	34	16	12
29	34	16	12
37	36	15	11
35	34	16	10
30	28	12	7
38	34	16	12
34	35	16	14
31	35	14	11
34	31	16	12
35	37	17	13
36	35	18	14
30	27	18	11
39	40	12	12
35	37	16	12
38	36	10	8
31	38	14	11
34	39	18	14
38	41	18	14
34	27	16	12
39	30	17	9
37	37	16	13
34	31	16	11
28	31	13	12
37	27	16	12
33	36	16	12
37	38	20	12
35	37	16	12
37	33	15	12
32	34	15	11
33	31	16	10
38	39	14	9
33	34	16	12
29	32	16	12
33	33	15	12
31	36	12	9
36	32	17	15
35	41	16	12
32	28	15	12
29	30	13	12
39	36	16	10
37	35	16	13
35	31	16	9
37	34	16	12
32	36	14	10
38	36	16	14
37	35	16	11
36	37	20	15
32	28	15	11
33	39	16	11
40	32	13	12
38	35	17	12
41	39	16	12
36	35	16	11
43	42	12	7
30	34	16	12
31	33	16	14
32	41	17	11
32	33	13	11
37	34	12	10
37	32	18	13
33	40	14	13
34	40	14	8
33	35	13	11
38	36	16	12
33	37	13	11
31	27	16	13
38	39	13	12
37	38	16	14
33	31	15	13
31	33	16	15
39	32	15	10
44	39	17	11
33	36	15	9
35	33	12	11
32	33	16	10
28	32	10	11
40	37	16	8
27	30	12	11
37	38	14	12
32	29	15	12
28	22	13	9
34	35	15	11
30	35	11	10
35	34	12	8
31	35	8	9
32	34	16	8
30	34	15	9
30	35	17	15
31	23	16	11
40	31	10	8
32	27	18	13
36	36	13	12
32	31	16	12
35	32	13	9
38	39	10	7
42	37	15	13
34	38	16	9
35	39	16	6
35	34	14	8
33	31	10	8
36	32	17	15
32	37	13	6
33	36	15	9
34	32	16	11
32	35	12	8
34	36	13	8

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'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=193181&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=193181&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=193181&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'Gwilym Jenkins' @ jenkins.wessa.net






Tabulation of Results
Connected x Separate
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 Separate \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=193181&T=1

[TABLE]
[ROW]
Tabulation of Results[/C][/ROW] [ROW]Connected x Separate[/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=193181&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=193181&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 Separate
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 Separate
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 Separate \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=193181&T=2

[TABLE]
[ROW]
Tabulation of Expected Results[/C][/ROW] [ROW]Connected x Separate[/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=193181&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=193181&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 Separate
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 with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic447.19
P value0.01

\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 & 447.19 \tabularnewline
P value & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=193181&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]447.19[/C][/ROW]
[ROW][C]P value[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=193181&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=193181&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 with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic447.19
P value0.01


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 1 ; par2 = 2 ; 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')