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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 computationWed, 10 Dec 2014 12:08:17 +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/10/t1418213594beovica8fgeudcd.htm/, Retrieved Sun, 19 May 2024 14:09:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264994, Retrieved Sun, 19 May 2024 14:09:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact68

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] [] [2014-12-10 12:08:17] [4511a3627978005d3fb0dfa0eb9854e9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13	25
16	16
11	25
10	29
9	25
8	23
26	22
10	23
10	35
8	29
13	27
11	26
8	22
12	31
24	17
21	28
5	30
14	26
11	21
9	26
8	34
17	29
18	28
16	22
23	22
9	25
14	21
13	28
10	27
8	30
10	23
19	27
11	27
16	31
12	28
11	16
11	13
10	30
13	25
14	16
8	26
11	22
11	22
13	28
15	27
15	14
16	28
12	27
12	16
17	23
14	25
15	20
12	28
13	32
7	33
8	26
16	21
20	27
14	20
10	28
16	26
11	21
26	16
9	28
15	19
12	24
21	26
20	24
20	23
10	27
15	29
10	26
16	19
9	19
17	12
10	23
19	25
13	24
8	26
11	23
9	28
12	25
10	23
9	28
14	23
14	25
10	27
8	28
13	17
9	23
14	24
8	18
16	21
14	34
14	24
8	24
11	28
11	27
13	24
12	19
13	19
9	27
10	28
12	22
11	32
13	20
17	26
15	19
15	24
14	21
10	21
15	27
14	18

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264994&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264994&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264994&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Tabulation of Results
D x C
1213141617181920212223242526272829303132333435
500000000000000000100000
700000000000000000000100
800000100011103011100010
900000010001021130000000
1000000000104001321100001
1101010000221011210001000
1200010010010110120010000
1300001011000220120001000
1400010101201221000000010
1500100021000100201000000
1600010010210001010010000
1710000000001001001000000
1800000000000000010000000
1900000000000010100000000
2000000000001100100000000
2100000000000001010000000
2300000000010000000000000
2400001000000000000000000
2600010000010000000000000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
D  x  C \tabularnewline
  & 12 & 13 & 14 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 \tabularnewline
5 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
7 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
8 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 3 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \tabularnewline
9 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 2 & 1 & 1 & 3 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
10 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 4 & 0 & 0 & 1 & 3 & 2 & 1 & 1 & 0 & 0 & 0 & 0 & 1 \tabularnewline
11 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 2 & 2 & 1 & 0 & 1 & 1 & 2 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
12 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 1 & 2 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
13 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 0 & 2 & 2 & 0 & 1 & 2 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
14 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 2 & 0 & 1 & 2 & 2 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \tabularnewline
15 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 2 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
16 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 2 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
17 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
18 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
19 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
20 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
21 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
23 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
24 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
26 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264994&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]D  x  C[/C][/ROW]
[ROW][C] [/C][C]12[/C][C]13[/C][C]14[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][C]26[/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][/ROW]
[C]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]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]7[/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]1[/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]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]3[/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][/ROW]
[C]9[/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]2[/C][C]1[/C][C]1[/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]10[/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]4[/C][C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]11[/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]2[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]2[/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][/ROW]
[C]12[/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]1[/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]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]13[/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]0[/C][C]0[/C][C]0[/C][C]2[/C][C]2[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]14[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]1[/C][C]2[/C][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]1[/C][C]0[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/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]16[/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]2[/C][C]1[/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]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]17[/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]1[/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][/ROW]
[C]18[/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][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]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]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]20[/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]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][/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]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][/ROW]
[C]23[/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]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]24[/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][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]26[/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][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=264994&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264994&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
D x C
1213141617181920212223242526272829303132333435
500000000000000000100000
700000000000000000000100
800000100011103011100010
900000010001021130000000
1000000000104001321100001
1101010000221011210001000
1200010010010110120010000
1300001011000220120001000
1400010101201221000000010
1500100021000100201000000
1600010010210001010010000
1710000000001001001000000
1800000000000000010000000
1900000000000010100000000
2000000000001100100000000
2100000000000001010000000
2300000000010000000000000
2400001000000000000000000
2600010000010000000000000






Tabulation of Expected Results
D x C
1213141617181920212223242526272829303132333435
50.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
70.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
80.10.10.10.490.190.190.580.290.680.680.970.780.880.971.171.360.390.290.190.190.10.190.1
90.080.080.080.40.160.160.480.240.560.560.80.640.720.80.961.120.320.240.160.160.080.160.08
100.120.120.120.620.250.250.740.370.870.871.240.991.121.241.491.730.50.370.250.250.120.250.12
110.120.120.120.580.230.230.690.350.810.811.150.921.041.151.381.610.460.350.230.230.120.230.12
120.080.080.080.40.160.160.480.240.560.560.80.640.720.80.961.120.320.240.160.160.080.160.08
130.10.10.10.490.190.190.580.290.680.680.970.780.880.971.171.360.390.290.190.190.10.190.1
140.110.110.110.530.210.210.640.320.740.741.060.850.961.061.271.490.420.320.210.210.110.210.11
150.070.070.070.350.140.140.420.210.50.50.710.570.640.710.850.990.280.210.140.140.070.140.07
160.070.070.070.350.140.140.420.210.50.50.710.570.640.710.850.990.280.210.140.140.070.140.07
170.040.040.040.180.070.070.210.110.250.250.350.280.320.350.420.50.140.110.070.070.040.070.04
180.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
190.020.020.020.090.040.040.110.050.120.120.180.140.160.180.210.250.070.050.040.040.020.040.02
200.030.030.030.130.050.050.160.080.190.190.270.210.240.270.320.370.110.080.050.050.030.050.03
210.020.020.020.090.040.040.110.050.120.120.180.140.160.180.210.250.070.050.040.040.020.040.02
230.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
240.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
260.020.020.020.090.040.040.110.050.120.120.180.140.160.180.210.250.070.050.040.040.020.040.02

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
D  x  C \tabularnewline
  & 12 & 13 & 14 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 \tabularnewline
5 & 0.01 & 0.01 & 0.01 & 0.04 & 0.02 & 0.02 & 0.05 & 0.03 & 0.06 & 0.06 & 0.09 & 0.07 & 0.08 & 0.09 & 0.11 & 0.12 & 0.04 & 0.03 & 0.02 & 0.02 & 0.01 & 0.02 & 0.01 \tabularnewline
7 & 0.01 & 0.01 & 0.01 & 0.04 & 0.02 & 0.02 & 0.05 & 0.03 & 0.06 & 0.06 & 0.09 & 0.07 & 0.08 & 0.09 & 0.11 & 0.12 & 0.04 & 0.03 & 0.02 & 0.02 & 0.01 & 0.02 & 0.01 \tabularnewline
8 & 0.1 & 0.1 & 0.1 & 0.49 & 0.19 & 0.19 & 0.58 & 0.29 & 0.68 & 0.68 & 0.97 & 0.78 & 0.88 & 0.97 & 1.17 & 1.36 & 0.39 & 0.29 & 0.19 & 0.19 & 0.1 & 0.19 & 0.1 \tabularnewline
9 & 0.08 & 0.08 & 0.08 & 0.4 & 0.16 & 0.16 & 0.48 & 0.24 & 0.56 & 0.56 & 0.8 & 0.64 & 0.72 & 0.8 & 0.96 & 1.12 & 0.32 & 0.24 & 0.16 & 0.16 & 0.08 & 0.16 & 0.08 \tabularnewline
10 & 0.12 & 0.12 & 0.12 & 0.62 & 0.25 & 0.25 & 0.74 & 0.37 & 0.87 & 0.87 & 1.24 & 0.99 & 1.12 & 1.24 & 1.49 & 1.73 & 0.5 & 0.37 & 0.25 & 0.25 & 0.12 & 0.25 & 0.12 \tabularnewline
11 & 0.12 & 0.12 & 0.12 & 0.58 & 0.23 & 0.23 & 0.69 & 0.35 & 0.81 & 0.81 & 1.15 & 0.92 & 1.04 & 1.15 & 1.38 & 1.61 & 0.46 & 0.35 & 0.23 & 0.23 & 0.12 & 0.23 & 0.12 \tabularnewline
12 & 0.08 & 0.08 & 0.08 & 0.4 & 0.16 & 0.16 & 0.48 & 0.24 & 0.56 & 0.56 & 0.8 & 0.64 & 0.72 & 0.8 & 0.96 & 1.12 & 0.32 & 0.24 & 0.16 & 0.16 & 0.08 & 0.16 & 0.08 \tabularnewline
13 & 0.1 & 0.1 & 0.1 & 0.49 & 0.19 & 0.19 & 0.58 & 0.29 & 0.68 & 0.68 & 0.97 & 0.78 & 0.88 & 0.97 & 1.17 & 1.36 & 0.39 & 0.29 & 0.19 & 0.19 & 0.1 & 0.19 & 0.1 \tabularnewline
14 & 0.11 & 0.11 & 0.11 & 0.53 & 0.21 & 0.21 & 0.64 & 0.32 & 0.74 & 0.74 & 1.06 & 0.85 & 0.96 & 1.06 & 1.27 & 1.49 & 0.42 & 0.32 & 0.21 & 0.21 & 0.11 & 0.21 & 0.11 \tabularnewline
15 & 0.07 & 0.07 & 0.07 & 0.35 & 0.14 & 0.14 & 0.42 & 0.21 & 0.5 & 0.5 & 0.71 & 0.57 & 0.64 & 0.71 & 0.85 & 0.99 & 0.28 & 0.21 & 0.14 & 0.14 & 0.07 & 0.14 & 0.07 \tabularnewline
16 & 0.07 & 0.07 & 0.07 & 0.35 & 0.14 & 0.14 & 0.42 & 0.21 & 0.5 & 0.5 & 0.71 & 0.57 & 0.64 & 0.71 & 0.85 & 0.99 & 0.28 & 0.21 & 0.14 & 0.14 & 0.07 & 0.14 & 0.07 \tabularnewline
17 & 0.04 & 0.04 & 0.04 & 0.18 & 0.07 & 0.07 & 0.21 & 0.11 & 0.25 & 0.25 & 0.35 & 0.28 & 0.32 & 0.35 & 0.42 & 0.5 & 0.14 & 0.11 & 0.07 & 0.07 & 0.04 & 0.07 & 0.04 \tabularnewline
18 & 0.01 & 0.01 & 0.01 & 0.04 & 0.02 & 0.02 & 0.05 & 0.03 & 0.06 & 0.06 & 0.09 & 0.07 & 0.08 & 0.09 & 0.11 & 0.12 & 0.04 & 0.03 & 0.02 & 0.02 & 0.01 & 0.02 & 0.01 \tabularnewline
19 & 0.02 & 0.02 & 0.02 & 0.09 & 0.04 & 0.04 & 0.11 & 0.05 & 0.12 & 0.12 & 0.18 & 0.14 & 0.16 & 0.18 & 0.21 & 0.25 & 0.07 & 0.05 & 0.04 & 0.04 & 0.02 & 0.04 & 0.02 \tabularnewline
20 & 0.03 & 0.03 & 0.03 & 0.13 & 0.05 & 0.05 & 0.16 & 0.08 & 0.19 & 0.19 & 0.27 & 0.21 & 0.24 & 0.27 & 0.32 & 0.37 & 0.11 & 0.08 & 0.05 & 0.05 & 0.03 & 0.05 & 0.03 \tabularnewline
21 & 0.02 & 0.02 & 0.02 & 0.09 & 0.04 & 0.04 & 0.11 & 0.05 & 0.12 & 0.12 & 0.18 & 0.14 & 0.16 & 0.18 & 0.21 & 0.25 & 0.07 & 0.05 & 0.04 & 0.04 & 0.02 & 0.04 & 0.02 \tabularnewline
23 & 0.01 & 0.01 & 0.01 & 0.04 & 0.02 & 0.02 & 0.05 & 0.03 & 0.06 & 0.06 & 0.09 & 0.07 & 0.08 & 0.09 & 0.11 & 0.12 & 0.04 & 0.03 & 0.02 & 0.02 & 0.01 & 0.02 & 0.01 \tabularnewline
24 & 0.01 & 0.01 & 0.01 & 0.04 & 0.02 & 0.02 & 0.05 & 0.03 & 0.06 & 0.06 & 0.09 & 0.07 & 0.08 & 0.09 & 0.11 & 0.12 & 0.04 & 0.03 & 0.02 & 0.02 & 0.01 & 0.02 & 0.01 \tabularnewline
26 & 0.02 & 0.02 & 0.02 & 0.09 & 0.04 & 0.04 & 0.11 & 0.05 & 0.12 & 0.12 & 0.18 & 0.14 & 0.16 & 0.18 & 0.21 & 0.25 & 0.07 & 0.05 & 0.04 & 0.04 & 0.02 & 0.04 & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264994&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]D  x  C[/C][/ROW]
[ROW][C] [/C][C]12[/C][C]13[/C][C]14[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][C]26[/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][/ROW]
[C]5[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.02[/C][C]0.05[/C][C]0.03[/C][C]0.06[/C][C]0.06[/C][C]0.09[/C][C]0.07[/C][C]0.08[/C][C]0.09[/C][C]0.11[/C][C]0.12[/C][C]0.04[/C][C]0.03[/C][C]0.02[/C][C]0.02[/C][C]0.01[/C][C]0.02[/C][C]0.01[/C][/ROW]
[C]7[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.02[/C][C]0.05[/C][C]0.03[/C][C]0.06[/C][C]0.06[/C][C]0.09[/C][C]0.07[/C][C]0.08[/C][C]0.09[/C][C]0.11[/C][C]0.12[/C][C]0.04[/C][C]0.03[/C][C]0.02[/C][C]0.02[/C][C]0.01[/C][C]0.02[/C][C]0.01[/C][/ROW]
[C]8[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.49[/C][C]0.19[/C][C]0.19[/C][C]0.58[/C][C]0.29[/C][C]0.68[/C][C]0.68[/C][C]0.97[/C][C]0.78[/C][C]0.88[/C][C]0.97[/C][C]1.17[/C][C]1.36[/C][C]0.39[/C][C]0.29[/C][C]0.19[/C][C]0.19[/C][C]0.1[/C][C]0.19[/C][C]0.1[/C][/ROW]
[C]9[/C][C]0.08[/C][C]0.08[/C][C]0.08[/C][C]0.4[/C][C]0.16[/C][C]0.16[/C][C]0.48[/C][C]0.24[/C][C]0.56[/C][C]0.56[/C][C]0.8[/C][C]0.64[/C][C]0.72[/C][C]0.8[/C][C]0.96[/C][C]1.12[/C][C]0.32[/C][C]0.24[/C][C]0.16[/C][C]0.16[/C][C]0.08[/C][C]0.16[/C][C]0.08[/C][/ROW]
[C]10[/C][C]0.12[/C][C]0.12[/C][C]0.12[/C][C]0.62[/C][C]0.25[/C][C]0.25[/C][C]0.74[/C][C]0.37[/C][C]0.87[/C][C]0.87[/C][C]1.24[/C][C]0.99[/C][C]1.12[/C][C]1.24[/C][C]1.49[/C][C]1.73[/C][C]0.5[/C][C]0.37[/C][C]0.25[/C][C]0.25[/C][C]0.12[/C][C]0.25[/C][C]0.12[/C][/ROW]
[C]11[/C][C]0.12[/C][C]0.12[/C][C]0.12[/C][C]0.58[/C][C]0.23[/C][C]0.23[/C][C]0.69[/C][C]0.35[/C][C]0.81[/C][C]0.81[/C][C]1.15[/C][C]0.92[/C][C]1.04[/C][C]1.15[/C][C]1.38[/C][C]1.61[/C][C]0.46[/C][C]0.35[/C][C]0.23[/C][C]0.23[/C][C]0.12[/C][C]0.23[/C][C]0.12[/C][/ROW]
[C]12[/C][C]0.08[/C][C]0.08[/C][C]0.08[/C][C]0.4[/C][C]0.16[/C][C]0.16[/C][C]0.48[/C][C]0.24[/C][C]0.56[/C][C]0.56[/C][C]0.8[/C][C]0.64[/C][C]0.72[/C][C]0.8[/C][C]0.96[/C][C]1.12[/C][C]0.32[/C][C]0.24[/C][C]0.16[/C][C]0.16[/C][C]0.08[/C][C]0.16[/C][C]0.08[/C][/ROW]
[C]13[/C][C]0.1[/C][C]0.1[/C][C]0.1[/C][C]0.49[/C][C]0.19[/C][C]0.19[/C][C]0.58[/C][C]0.29[/C][C]0.68[/C][C]0.68[/C][C]0.97[/C][C]0.78[/C][C]0.88[/C][C]0.97[/C][C]1.17[/C][C]1.36[/C][C]0.39[/C][C]0.29[/C][C]0.19[/C][C]0.19[/C][C]0.1[/C][C]0.19[/C][C]0.1[/C][/ROW]
[C]14[/C][C]0.11[/C][C]0.11[/C][C]0.11[/C][C]0.53[/C][C]0.21[/C][C]0.21[/C][C]0.64[/C][C]0.32[/C][C]0.74[/C][C]0.74[/C][C]1.06[/C][C]0.85[/C][C]0.96[/C][C]1.06[/C][C]1.27[/C][C]1.49[/C][C]0.42[/C][C]0.32[/C][C]0.21[/C][C]0.21[/C][C]0.11[/C][C]0.21[/C][C]0.11[/C][/ROW]
[C]15[/C][C]0.07[/C][C]0.07[/C][C]0.07[/C][C]0.35[/C][C]0.14[/C][C]0.14[/C][C]0.42[/C][C]0.21[/C][C]0.5[/C][C]0.5[/C][C]0.71[/C][C]0.57[/C][C]0.64[/C][C]0.71[/C][C]0.85[/C][C]0.99[/C][C]0.28[/C][C]0.21[/C][C]0.14[/C][C]0.14[/C][C]0.07[/C][C]0.14[/C][C]0.07[/C][/ROW]
[C]16[/C][C]0.07[/C][C]0.07[/C][C]0.07[/C][C]0.35[/C][C]0.14[/C][C]0.14[/C][C]0.42[/C][C]0.21[/C][C]0.5[/C][C]0.5[/C][C]0.71[/C][C]0.57[/C][C]0.64[/C][C]0.71[/C][C]0.85[/C][C]0.99[/C][C]0.28[/C][C]0.21[/C][C]0.14[/C][C]0.14[/C][C]0.07[/C][C]0.14[/C][C]0.07[/C][/ROW]
[C]17[/C][C]0.04[/C][C]0.04[/C][C]0.04[/C][C]0.18[/C][C]0.07[/C][C]0.07[/C][C]0.21[/C][C]0.11[/C][C]0.25[/C][C]0.25[/C][C]0.35[/C][C]0.28[/C][C]0.32[/C][C]0.35[/C][C]0.42[/C][C]0.5[/C][C]0.14[/C][C]0.11[/C][C]0.07[/C][C]0.07[/C][C]0.04[/C][C]0.07[/C][C]0.04[/C][/ROW]
[C]18[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.02[/C][C]0.05[/C][C]0.03[/C][C]0.06[/C][C]0.06[/C][C]0.09[/C][C]0.07[/C][C]0.08[/C][C]0.09[/C][C]0.11[/C][C]0.12[/C][C]0.04[/C][C]0.03[/C][C]0.02[/C][C]0.02[/C][C]0.01[/C][C]0.02[/C][C]0.01[/C][/ROW]
[C]19[/C][C]0.02[/C][C]0.02[/C][C]0.02[/C][C]0.09[/C][C]0.04[/C][C]0.04[/C][C]0.11[/C][C]0.05[/C][C]0.12[/C][C]0.12[/C][C]0.18[/C][C]0.14[/C][C]0.16[/C][C]0.18[/C][C]0.21[/C][C]0.25[/C][C]0.07[/C][C]0.05[/C][C]0.04[/C][C]0.04[/C][C]0.02[/C][C]0.04[/C][C]0.02[/C][/ROW]
[C]20[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.13[/C][C]0.05[/C][C]0.05[/C][C]0.16[/C][C]0.08[/C][C]0.19[/C][C]0.19[/C][C]0.27[/C][C]0.21[/C][C]0.24[/C][C]0.27[/C][C]0.32[/C][C]0.37[/C][C]0.11[/C][C]0.08[/C][C]0.05[/C][C]0.05[/C][C]0.03[/C][C]0.05[/C][C]0.03[/C][/ROW]
[C]21[/C][C]0.02[/C][C]0.02[/C][C]0.02[/C][C]0.09[/C][C]0.04[/C][C]0.04[/C][C]0.11[/C][C]0.05[/C][C]0.12[/C][C]0.12[/C][C]0.18[/C][C]0.14[/C][C]0.16[/C][C]0.18[/C][C]0.21[/C][C]0.25[/C][C]0.07[/C][C]0.05[/C][C]0.04[/C][C]0.04[/C][C]0.02[/C][C]0.04[/C][C]0.02[/C][/ROW]
[C]23[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.02[/C][C]0.05[/C][C]0.03[/C][C]0.06[/C][C]0.06[/C][C]0.09[/C][C]0.07[/C][C]0.08[/C][C]0.09[/C][C]0.11[/C][C]0.12[/C][C]0.04[/C][C]0.03[/C][C]0.02[/C][C]0.02[/C][C]0.01[/C][C]0.02[/C][C]0.01[/C][/ROW]
[C]24[/C][C]0.01[/C][C]0.01[/C][C]0.01[/C][C]0.04[/C][C]0.02[/C][C]0.02[/C][C]0.05[/C][C]0.03[/C][C]0.06[/C][C]0.06[/C][C]0.09[/C][C]0.07[/C][C]0.08[/C][C]0.09[/C][C]0.11[/C][C]0.12[/C][C]0.04[/C][C]0.03[/C][C]0.02[/C][C]0.02[/C][C]0.01[/C][C]0.02[/C][C]0.01[/C][/ROW]
[C]26[/C][C]0.02[/C][C]0.02[/C][C]0.02[/C][C]0.09[/C][C]0.04[/C][C]0.04[/C][C]0.11[/C][C]0.05[/C][C]0.12[/C][C]0.12[/C][C]0.18[/C][C]0.14[/C][C]0.16[/C][C]0.18[/C][C]0.21[/C][C]0.25[/C][C]0.07[/C][C]0.05[/C][C]0.04[/C][C]0.04[/C][C]0.02[/C][C]0.04[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264994&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264994&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
D x C
1213141617181920212223242526272829303132333435
50.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
70.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
80.10.10.10.490.190.190.580.290.680.680.970.780.880.971.171.360.390.290.190.190.10.190.1
90.080.080.080.40.160.160.480.240.560.560.80.640.720.80.961.120.320.240.160.160.080.160.08
100.120.120.120.620.250.250.740.370.870.871.240.991.121.241.491.730.50.370.250.250.120.250.12
110.120.120.120.580.230.230.690.350.810.811.150.921.041.151.381.610.460.350.230.230.120.230.12
120.080.080.080.40.160.160.480.240.560.560.80.640.720.80.961.120.320.240.160.160.080.160.08
130.10.10.10.490.190.190.580.290.680.680.970.780.880.971.171.360.390.290.190.190.10.190.1
140.110.110.110.530.210.210.640.320.740.741.060.850.961.061.271.490.420.320.210.210.110.210.11
150.070.070.070.350.140.140.420.210.50.50.710.570.640.710.850.990.280.210.140.140.070.140.07
160.070.070.070.350.140.140.420.210.50.50.710.570.640.710.850.990.280.210.140.140.070.140.07
170.040.040.040.180.070.070.210.110.250.250.350.280.320.350.420.50.140.110.070.070.040.070.04
180.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
190.020.020.020.090.040.040.110.050.120.120.180.140.160.180.210.250.070.050.040.040.020.040.02
200.030.030.030.130.050.050.160.080.190.190.270.210.240.270.320.370.110.080.050.050.030.050.03
210.020.020.020.090.040.040.110.050.120.120.180.140.160.180.210.250.070.050.040.040.020.040.02
230.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
240.010.010.010.040.020.020.050.030.060.060.090.070.080.090.110.120.040.030.020.020.010.020.01
260.020.020.020.090.040.040.110.050.120.120.180.140.160.180.210.250.070.050.040.040.020.040.02






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic470.05
Degrees of Freedom396
P value0.01

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 470.05 \tabularnewline
Degrees of Freedom & 396 \tabularnewline
P value & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264994&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]470.05[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]396[/C][/ROW]
[ROW][C]P value[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264994&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264994&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 Statistic470.05
Degrees of Freedom396
P value0.01


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):
par3 <- 'Pearson Chi-Squared'
par2 <- '1'
par1 <- '0'
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')