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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationMon, 22 Oct 2012 17:16:58 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/22/t1350940640k3bd3l4mdl86jja.htm/, Retrieved Fri, 03 May 2024 21:07:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=182394, Retrieved Fri, 03 May 2024 21:07:49 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact60
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] [] [2012-10-22 21:16:58] [3d1c016f2f3d502d2cccf121bc4326eb] [Current]
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Dataseries X:
14	12
18	11
11	14
12	12
16	21
18	12
14	22
14	11
15	10
15	13
17	10
19	8
10	15
16	14
18	10
14	14
14	14
17	11
14	10
16	13
18	7
11	14
14	12
12	14
17	11
9	9
16	11
14	15
15	14
11	13
16	9
13	15
17	10
15	11
14	13
16	8
9	20
15	12




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182394&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]2 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=182394&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182394&T=0

As an alternative you can also use a 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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Tabulation of Results
happiness x depression
789101112131415202122
9001000000100
10000000001000
11000000120000
12000001010000
13000000001000
14000112121001
15000111110000
16011010110010
17000220000000
18100111000000
19010000000000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
happiness  x  depression \tabularnewline
  & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 20 & 21 & 22 \tabularnewline
9 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
10 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
11 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 0 & 0 & 0 \tabularnewline
12 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
13 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
14 & 0 & 0 & 0 & 1 & 1 & 2 & 1 & 2 & 1 & 0 & 0 & 1 \tabularnewline
15 & 0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \tabularnewline
16 & 0 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \tabularnewline
17 & 0 & 0 & 0 & 2 & 2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
18 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
19 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182394&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]happiness  x  depression[/C][/ROW]
[ROW][C] [/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]20[/C][C]21[/C][C]22[/C][/ROW]
[C]9[/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]1[/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]0[/C][C]0[/C][/ROW]
[C]11[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]12[/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][/ROW]
[C]13[/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]
[C]14[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]2[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]16[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]17[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]18[/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]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]19[/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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182394&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182394&T=1

As an alternative you can also use a QR Code:  

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

Tabulation of Results
happiness x depression
789101112131415202122
9001000000100
10000000001000
11000000120000
12000001010000
13000000001000
14000112121001
15000111110000
16011010110010
17000220000000
18100111000000
19010000000000







Tabulation of Expected Results
happiness x depression
789101112131415202122
90.050.110.110.260.320.260.210.370.160.050.050.05
100.030.050.050.130.160.130.110.180.080.030.030.03
110.080.160.160.390.470.390.320.550.240.080.080.08
120.050.110.110.260.320.260.210.370.160.050.050.05
130.030.050.050.130.160.130.110.180.080.030.030.03
140.240.470.471.181.421.180.951.660.710.240.240.24
150.130.260.260.660.790.660.530.920.390.130.130.13
160.160.320.320.790.950.790.631.110.470.160.160.16
170.110.210.210.530.630.530.420.740.320.110.110.11
180.110.210.210.530.630.530.420.740.320.110.110.11
190.030.050.050.130.160.130.110.180.080.030.030.03

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
happiness  x  depression \tabularnewline
  & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 20 & 21 & 22 \tabularnewline
9 & 0.05 & 0.11 & 0.11 & 0.26 & 0.32 & 0.26 & 0.21 & 0.37 & 0.16 & 0.05 & 0.05 & 0.05 \tabularnewline
10 & 0.03 & 0.05 & 0.05 & 0.13 & 0.16 & 0.13 & 0.11 & 0.18 & 0.08 & 0.03 & 0.03 & 0.03 \tabularnewline
11 & 0.08 & 0.16 & 0.16 & 0.39 & 0.47 & 0.39 & 0.32 & 0.55 & 0.24 & 0.08 & 0.08 & 0.08 \tabularnewline
12 & 0.05 & 0.11 & 0.11 & 0.26 & 0.32 & 0.26 & 0.21 & 0.37 & 0.16 & 0.05 & 0.05 & 0.05 \tabularnewline
13 & 0.03 & 0.05 & 0.05 & 0.13 & 0.16 & 0.13 & 0.11 & 0.18 & 0.08 & 0.03 & 0.03 & 0.03 \tabularnewline
14 & 0.24 & 0.47 & 0.47 & 1.18 & 1.42 & 1.18 & 0.95 & 1.66 & 0.71 & 0.24 & 0.24 & 0.24 \tabularnewline
15 & 0.13 & 0.26 & 0.26 & 0.66 & 0.79 & 0.66 & 0.53 & 0.92 & 0.39 & 0.13 & 0.13 & 0.13 \tabularnewline
16 & 0.16 & 0.32 & 0.32 & 0.79 & 0.95 & 0.79 & 0.63 & 1.11 & 0.47 & 0.16 & 0.16 & 0.16 \tabularnewline
17 & 0.11 & 0.21 & 0.21 & 0.53 & 0.63 & 0.53 & 0.42 & 0.74 & 0.32 & 0.11 & 0.11 & 0.11 \tabularnewline
18 & 0.11 & 0.21 & 0.21 & 0.53 & 0.63 & 0.53 & 0.42 & 0.74 & 0.32 & 0.11 & 0.11 & 0.11 \tabularnewline
19 & 0.03 & 0.05 & 0.05 & 0.13 & 0.16 & 0.13 & 0.11 & 0.18 & 0.08 & 0.03 & 0.03 & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182394&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]happiness  x  depression[/C][/ROW]
[ROW][C] [/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]20[/C][C]21[/C][C]22[/C][/ROW]
[C]9[/C][C]0.05[/C][C]0.11[/C][C]0.11[/C][C]0.26[/C][C]0.32[/C][C]0.26[/C][C]0.21[/C][C]0.37[/C][C]0.16[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][/ROW]
[C]10[/C][C]0.03[/C][C]0.05[/C][C]0.05[/C][C]0.13[/C][C]0.16[/C][C]0.13[/C][C]0.11[/C][C]0.18[/C][C]0.08[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][/ROW]
[C]11[/C][C]0.08[/C][C]0.16[/C][C]0.16[/C][C]0.39[/C][C]0.47[/C][C]0.39[/C][C]0.32[/C][C]0.55[/C][C]0.24[/C][C]0.08[/C][C]0.08[/C][C]0.08[/C][/ROW]
[C]12[/C][C]0.05[/C][C]0.11[/C][C]0.11[/C][C]0.26[/C][C]0.32[/C][C]0.26[/C][C]0.21[/C][C]0.37[/C][C]0.16[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][/ROW]
[C]13[/C][C]0.03[/C][C]0.05[/C][C]0.05[/C][C]0.13[/C][C]0.16[/C][C]0.13[/C][C]0.11[/C][C]0.18[/C][C]0.08[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][/ROW]
[C]14[/C][C]0.24[/C][C]0.47[/C][C]0.47[/C][C]1.18[/C][C]1.42[/C][C]1.18[/C][C]0.95[/C][C]1.66[/C][C]0.71[/C][C]0.24[/C][C]0.24[/C][C]0.24[/C][/ROW]
[C]15[/C][C]0.13[/C][C]0.26[/C][C]0.26[/C][C]0.66[/C][C]0.79[/C][C]0.66[/C][C]0.53[/C][C]0.92[/C][C]0.39[/C][C]0.13[/C][C]0.13[/C][C]0.13[/C][/ROW]
[C]16[/C][C]0.16[/C][C]0.32[/C][C]0.32[/C][C]0.79[/C][C]0.95[/C][C]0.79[/C][C]0.63[/C][C]1.11[/C][C]0.47[/C][C]0.16[/C][C]0.16[/C][C]0.16[/C][/ROW]
[C]17[/C][C]0.11[/C][C]0.21[/C][C]0.21[/C][C]0.53[/C][C]0.63[/C][C]0.53[/C][C]0.42[/C][C]0.74[/C][C]0.32[/C][C]0.11[/C][C]0.11[/C][C]0.11[/C][/ROW]
[C]18[/C][C]0.11[/C][C]0.21[/C][C]0.21[/C][C]0.53[/C][C]0.63[/C][C]0.53[/C][C]0.42[/C][C]0.74[/C][C]0.32[/C][C]0.11[/C][C]0.11[/C][C]0.11[/C][/ROW]
[C]19[/C][C]0.03[/C][C]0.05[/C][C]0.05[/C][C]0.13[/C][C]0.16[/C][C]0.13[/C][C]0.11[/C][C]0.18[/C][C]0.08[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182394&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182394&T=2

As an alternative you can also use a QR Code:  

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

Tabulation of Expected Results
happiness x depression
789101112131415202122
90.050.110.110.260.320.260.210.370.160.050.050.05
100.030.050.050.130.160.130.110.180.080.030.030.03
110.080.160.160.390.470.390.320.550.240.080.080.08
120.050.110.110.260.320.260.210.370.160.050.050.05
130.030.050.050.130.160.130.110.180.080.030.030.03
140.240.470.471.181.421.180.951.660.710.240.240.24
150.130.260.260.660.790.660.530.920.390.130.130.13
160.160.320.320.790.950.790.631.110.470.160.160.16
170.110.210.210.530.630.530.420.740.320.110.110.11
180.110.210.210.530.630.530.420.740.320.110.110.11
190.030.050.050.130.160.130.110.180.080.030.030.03







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic118.1
Degrees of Freedom110
P value0.28

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 118.1 \tabularnewline
Degrees of Freedom & 110 \tabularnewline
P value & 0.28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182394&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]118.1[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]110[/C][/ROW]
[ROW][C]P value[/C][C]0.28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182394&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182394&T=3

As an alternative you can also use a QR Code:  

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

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic118.1
Degrees of Freedom110
P value0.28



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=='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')