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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 18:38:39 +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/t12907105661wxgyndm03jl85z.htm/, Retrieved Fri, 19 Apr 2024 22:48:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101349, Retrieved Fri, 19 Apr 2024 22:48:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114

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 18:38:39] [c984196f1244e05baf3e7c2e52d47a33] [Current]
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Dataset

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

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101349&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]5 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=101349&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101349&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 time5 seconds
R Server'George Udny Yule' @ 72.249.76.132






Tabulation of Results
happiness x seperate
222327282930313233343536373839404142
7000000001000000000
8000100000000000000
9000000140100000000
10000000000020100001
11100100103051000000
12001101112131112000
13002001263111100010
14001102312143230200
15010001323612436120
16001110133221251000
17000000320102121000
18000010011100100000
19000000000102000000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline happiness x seperate \tabularnewline & 22 & 23 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 & 41 & 42 \tabularnewline 7 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 8 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 9 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 4 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 10 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 1 & 0 & 0 & 0 & 0 & 1 \tabularnewline 11 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & 3 & 0 & 5 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 12 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 2 & 1 & 3 & 1 & 1 & 1 & 2 & 0 & 0 & 0 \tabularnewline 13 & 0 & 0 & 2 & 0 & 0 & 1 & 2 & 6 & 3 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 \tabularnewline 14 & 0 & 0 & 1 & 1 & 0 & 2 & 3 & 1 & 2 & 1 & 4 & 3 & 2 & 3 & 0 & 2 & 0 & 0 \tabularnewline 15 & 0 & 1 & 0 & 0 & 0 & 1 & 3 & 2 & 3 & 6 & 1 & 2 & 4 & 3 & 6 & 1 & 2 & 0 \tabularnewline 16 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 3 & 3 & 2 & 2 & 1 & 2 & 5 & 1 & 0 & 0 & 0 \tabularnewline 17 & 0 & 0 & 0 & 0 & 0 & 0 & 3 & 2 & 0 & 1 & 0 & 2 & 1 & 2 & 1 & 0 & 0 & 0 \tabularnewline 18 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline 19 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101349&T=1

[TABLE]
[ROW]
Tabulation of Results[/C][/ROW] [ROW]happiness 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]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]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]8[/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][/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]4[/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]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]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]1[/C][/ROW] [C]11[/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]3[/C][C]0[/C][C]5[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]12[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]3[/C][C]1[/C][C]1[/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]2[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]6[/C][C]3[/C][C]1[/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]14[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]2[/C][C]3[/C][C]1[/C][C]2[/C][C]1[/C][C]4[/C][C]3[/C][C]2[/C][C]3[/C][C]0[/C][C]2[/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]1[/C][C]3[/C][C]2[/C][C]3[/C][C]6[/C][C]1[/C][C]2[/C][C]4[/C][C]3[/C][C]6[/C][C]1[/C][C]2[/C][C]0[/C][/ROW] [C]16[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]3[/C][C]3[/C][C]2[/C][C]2[/C][C]1[/C][C]2[/C][C]5[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]17[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/C][C]2[/C][C]1[/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]1[/C][C]0[/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]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]1[/C][C]0[/C][C]2[/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=101349&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101349&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
happiness x seperate
222327282930313233343536373839404142
7000000001000000000
8000100000000000000
9000000140100000000
10000000000020100001
11100100103051000000
12001101112131112000
13002001263111100010
14001102312143230200
15010001323612436120
16001110133221251000
17000000320102121000
18000010011100100000
19000000000102000000






Tabulation of Expected Results
happiness x seperate
222327282930313233343536373839404142
70.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01
80.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01
90.040.040.190.190.070.190.560.740.670.560.670.480.480.520.370.110.110.04
100.020.020.120.120.050.120.370.490.440.370.440.320.320.350.250.070.070.02
110.070.070.370.370.150.371.111.481.331.111.330.960.961.040.740.220.220.07
120.10.10.490.490.20.491.481.981.781.481.781.281.281.380.990.30.30.1
130.120.120.590.590.230.591.762.352.111.762.111.521.521.641.170.350.350.12
140.150.150.770.770.310.772.313.092.782.312.782.012.012.161.540.460.460.15
150.220.221.081.080.431.083.244.323.893.243.892.812.813.022.160.650.650.22
160.140.140.710.710.280.712.132.842.562.132.561.851.851.991.420.430.430.14
170.070.070.370.370.150.371.111.481.331.111.330.960.961.040.740.220.220.07
180.030.030.150.150.060.150.460.620.560.460.560.40.40.430.310.090.090.03
190.020.020.090.090.040.090.280.370.330.280.330.240.240.260.190.060.060.02

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline happiness x seperate \tabularnewline & 22 & 23 & 27 & 28 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 & 41 & 42 \tabularnewline 7 & 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 8 & 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 9 & 0.04 & 0.04 & 0.19 & 0.19 & 0.07 & 0.19 & 0.56 & 0.74 & 0.67 & 0.56 & 0.67 & 0.48 & 0.48 & 0.52 & 0.37 & 0.11 & 0.11 & 0.04 \tabularnewline 10 & 0.02 & 0.02 & 0.12 & 0.12 & 0.05 & 0.12 & 0.37 & 0.49 & 0.44 & 0.37 & 0.44 & 0.32 & 0.32 & 0.35 & 0.25 & 0.07 & 0.07 & 0.02 \tabularnewline 11 & 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 12 & 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 13 & 0.12 & 0.12 & 0.59 & 0.59 & 0.23 & 0.59 & 1.76 & 2.35 & 2.11 & 1.76 & 2.11 & 1.52 & 1.52 & 1.64 & 1.17 & 0.35 & 0.35 & 0.12 \tabularnewline 14 & 0.15 & 0.15 & 0.77 & 0.77 & 0.31 & 0.77 & 2.31 & 3.09 & 2.78 & 2.31 & 2.78 & 2.01 & 2.01 & 2.16 & 1.54 & 0.46 & 0.46 & 0.15 \tabularnewline 15 & 0.22 & 0.22 & 1.08 & 1.08 & 0.43 & 1.08 & 3.24 & 4.32 & 3.89 & 3.24 & 3.89 & 2.81 & 2.81 & 3.02 & 2.16 & 0.65 & 0.65 & 0.22 \tabularnewline 16 & 0.14 & 0.14 & 0.71 & 0.71 & 0.28 & 0.71 & 2.13 & 2.84 & 2.56 & 2.13 & 2.56 & 1.85 & 1.85 & 1.99 & 1.42 & 0.43 & 0.43 & 0.14 \tabularnewline 17 & 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 18 & 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 19 & 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 \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=101349&T=2

[TABLE]
[ROW]
Tabulation of Expected Results[/C][/ROW] [ROW]happiness 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]7[/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]8[/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]9[/C][C]0.04[/C][C]0.04[/C][C]0.19[/C][C]0.19[/C][C]0.07[/C][C]0.19[/C][C]0.56[/C][C]0.74[/C][C]0.67[/C][C]0.56[/C][C]0.67[/C][C]0.48[/C][C]0.48[/C][C]0.52[/C][C]0.37[/C][C]0.11[/C][C]0.11[/C][C]0.04[/C][/ROW] [C]10[/C][C]0.02[/C][C]0.02[/C][C]0.12[/C][C]0.12[/C][C]0.05[/C][C]0.12[/C][C]0.37[/C][C]0.49[/C][C]0.44[/C][C]0.37[/C][C]0.44[/C][C]0.32[/C][C]0.32[/C][C]0.35[/C][C]0.25[/C][C]0.07[/C][C]0.07[/C][C]0.02[/C][/ROW] [C]11[/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]12[/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]13[/C][C]0.12[/C][C]0.12[/C][C]0.59[/C][C]0.59[/C][C]0.23[/C][C]0.59[/C][C]1.76[/C][C]2.35[/C][C]2.11[/C][C]1.76[/C][C]2.11[/C][C]1.52[/C][C]1.52[/C][C]1.64[/C][C]1.17[/C][C]0.35[/C][C]0.35[/C][C]0.12[/C][/ROW] [C]14[/C][C]0.15[/C][C]0.15[/C][C]0.77[/C][C]0.77[/C][C]0.31[/C][C]0.77[/C][C]2.31[/C][C]3.09[/C][C]2.78[/C][C]2.31[/C][C]2.78[/C][C]2.01[/C][C]2.01[/C][C]2.16[/C][C]1.54[/C][C]0.46[/C][C]0.46[/C][C]0.15[/C][/ROW] [C]15[/C][C]0.22[/C][C]0.22[/C][C]1.08[/C][C]1.08[/C][C]0.43[/C][C]1.08[/C][C]3.24[/C][C]4.32[/C][C]3.89[/C][C]3.24[/C][C]3.89[/C][C]2.81[/C][C]2.81[/C][C]3.02[/C][C]2.16[/C][C]0.65[/C][C]0.65[/C][C]0.22[/C][/ROW] [C]16[/C][C]0.14[/C][C]0.14[/C][C]0.71[/C][C]0.71[/C][C]0.28[/C][C]0.71[/C][C]2.13[/C][C]2.84[/C][C]2.56[/C][C]2.13[/C][C]2.56[/C][C]1.85[/C][C]1.85[/C][C]1.99[/C][C]1.42[/C][C]0.43[/C][C]0.43[/C][C]0.14[/C][/ROW] [C]17[/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]18[/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]19[/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] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=101349&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101349&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
happiness x seperate
222327282930313233343536373839404142
70.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01
80.010.010.030.030.010.030.090.120.110.090.110.080.080.090.060.020.020.01
90.040.040.190.190.070.190.560.740.670.560.670.480.480.520.370.110.110.04
100.020.020.120.120.050.120.370.490.440.370.440.320.320.350.250.070.070.02
110.070.070.370.370.150.371.111.481.331.111.330.960.961.040.740.220.220.07
120.10.10.490.490.20.491.481.981.781.481.781.281.281.380.990.30.30.1
130.120.120.590.590.230.591.762.352.111.762.111.521.521.641.170.350.350.12
140.150.150.770.770.310.772.313.092.782.312.782.012.012.161.540.460.460.15
150.220.221.081.080.431.083.244.323.893.243.892.812.813.022.160.650.650.22
160.140.140.710.710.280.712.132.842.562.132.561.851.851.991.420.430.430.14
170.070.070.370.370.150.371.111.481.331.111.330.960.961.040.740.220.220.07
180.030.030.150.150.060.150.460.620.560.460.560.40.40.430.310.090.090.03
190.020.020.090.090.040.090.280.370.330.280.330.240.240.260.190.060.060.02






Statistical Results
Pearson's Chi-squared test
Chi Square Statistic253.87
Degrees of Freedom204
P value0.01

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 253.87 \tabularnewline
Degrees of Freedom & 204 \tabularnewline
P value & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101349&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]253.87[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]204[/C][/ROW]
[ROW][C]P value[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101349&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101349&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 Statistic253.87
Degrees of Freedom204
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):
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')