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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, 14 Nov 2011 10:37:46 -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/2011/Nov/14/t1321285594k0e7stbh83ws3gd.htm/, Retrieved Fri, 13 Feb 2026 08:13:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=142048, Retrieved Fri, 13 Feb 2026 08:13:42 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact355

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] [Chi] [2011-11-14 15:37:46] [2adf2d2c11e011c12275478b9efd18e5] [Current]
- RM      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [tk1chi] [2011-11-14 15:55:28] [25b6caf3839c2bdc14961e5bff2d6373]
- R PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [chi2] [2011-11-14 16:20:16] [25b6caf3839c2bdc14961e5bff2d6373]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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'B'	'Connected'
'A'	'Connected'
'A'	'Connected'
'B'	'Connected'
'A'	'Connected'
'A'	'Connected'
'C'	'Connected'
'C'	'Connected'
'B'	'Connected'
'A'	'Connected'
'A'	'Connected'
'C'	'Connected'
'C'	'Connected'
'D'	'Connected'
'A'	'Connected'
'A'	'Connected'
'A'	'Connected'
'A'	'Connected'
'B'	'Connected'
'C'	'Connected'
'C'	'Connected'
'B'	'Connected'
'D'	'Connected'
'D'	'Connected'
'A'	'Connected'
'B'	'Connected'
'B'	'Connected'
'C'	'Connected'
'D'	'Connected'
'B'	'Connected'
'D'	'Connected'
'B'	'Connected'
'A'	'Connected'
'B'	'Connected'
'A'	'Connected'
'B'	'Connected'
'A'	'Connected'
'A'	'Connected'
'A'	'Connected'
'C'	'Connected'
'B'	'Connected'
'A'	'Connected'
'C'	'Connected'
'C'	'Connected'
'C'	'Connected'
'B'	'Connected'
'C'	'Connected'
'A'	'Connected'
'A'	'Connected'
'D'	'Connected'
'A'	'Connected'
'B'	'Connected'
'D'	'Connected'
'A'	'Connected'
'B'	'Connected'
'D'	'Connected'
'B'	'Connected'
'B'	'Connected'
'B'	'Connected'
'D'	'Connected'
'A'	'Connected'
'B'	'Connected'
'A'	'Connected'
'D'	'Connected'
'B'	'Connected'
'A'	'Connected'
'B'	'Connected'
'A'	'Connected'
'A'	'Connected'
'B'	'Connected'
'D'	'Connected'
'A'	'Connected'
'C'	'Connected'
'A'	'Connected'
'B'	'Connected'
'A'	'Connected'
'C'	'Connected'
'C'	'Connected'
'A'	'Connected'
'C'	'Connected'
'D'	'Connected'
'C'	'Connected'
'D'	'Connected'
'B'	'Connected'
'B'	'Connected'
'C'	'Connected'
'D'	'Connected'
'A'	'Connected'
'A'	'Connected'
'B'	'Connected'
'A'	'Connected'
'C'	'Connected'
'A'	'Connected'
'A'	'Connected'
'B'	'Connected'
'C'	'Connected'
'C'	'Connected'
'A'	'Connected'
'A'	'Connected'
'A'	'Connected'
'B'	'Connected'
'A'	'Connected'
'D'	'Connected'
'D'	'Connected'
'C'	'Connected'
'C'	'Connected'
'A'	'Connected'
'A'	'Connected'
'C'	'Connected'
'B'	'Connected'
'C'	'Connected'
'A'	'Connected'
'C'	'Connected'
'D'	'Connected'
'A'	'Connected'
'A'	'Connected'
'C'	'Connected'
'D'	'Connected'
'A'	'Connected'
'A'	'Connected'
'C'	'Connected'
'B'	'Connected'
'C'	'Connected'
'D'	'Connected'
'A'	'Connected'
'D'	'Connected'
'A'	'Connected'
'C'	'Connected'
'D'	'Connected'
'B'	'Connected'
'D'	'Connected'
'B'	'Connected'
'D'	'Connected'
'C'	'Connected'
'D'	'Connected'
'D'	'Connected'
'D'	'Connected'
'A'	'Connected'
'C'	'Connected'
'B'	'Connected'
'C'	'Connected'
'B'	'Connected'
'A'	'Connected'
'A'	'Connected'
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'B'	'Connected'
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'C'	'Connected'
'B'	'Connected'
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'B'	'Connected'

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'C'	'Separate'
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'C'	'Separate'
'A'	'Separate'
'D'	'Separate'
'D'	'Separate'
'B'	'Separate'
'B'	'Separate'
'A'	'Separate'
'D'	'Separate'
'B'	'Separate'
'B'	'Separate'
'A'	'Separate'
'A'	'Separate'
'C'	'Separate'
'C'	'Separate'
'A'	'Separate'
'A'	'Separate'
'C'	'Separate'
'C'	'Separate'
'D'	'Separate'
'A'	'Separate'
'A'	'Separate'
'C'	'Separate'
'C'	'Separate'
'B'	'Separate'
'A'	'Separate'
'C'	'Separate'
'C'	'Separate'
'D'	'Separate'
'C'	'Separate'
'D'	'Separate'
'A'	'Separate'
'D'	'Separate'
'C'	'Separate'
'D'	'Separate'
'C'	'Separate'
'D'	'Separate'
'C'	'Separate'
'C'	'Separate'
'C'	'Separate'
'C'	'Separate'
'C'	'Separate'
'D'	'Separate'
'B'	'Separate'
'A'	'Separate'
'B'	'Separate'
'A'	'Separate'
'C'	'Separate'
'A'	'Separate'
'D'	'Separate'
'C'	'Separate'
'A'	'Separate'
'C'	'Separate'
'C'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'D'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'D'	'Separate'
'A'	'Separate'
'B'	'Separate'
'D'	'Separate'
'A'	'Separate'
'A'	'Separate'
'B'	'Separate'
'A'	'Separate'
'A'	'Separate'
'A'	'Separate'
'D'	'Separate'
'D'	'Separate'
'A'	'Separate'
'D'	'Separate'
'D'	'Separate'
'D'	'Separate'
'B'	'Separate'
'A'	'Separate'
'A'	'Separate'
'C'	'Separate'
'B'	'Separate'
'D'	'Separate'
'A'	'Separate'
'B'	'Separate'
'C'	'Separate'
'C'	'Separate'
'B'	'Separate'
'C'	'Separate'
'A'	'Separate'
'D'	'Separate'
'D'	'Separate'
'B'	'Separate'
'B'	'Separate'
'D'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'A'	'Separate'
'D'	'Separate'
'A'	'Separate'
'C'	'Separate'
'B'	'Separate'
'A'	'Separate'
'B'	'Separate'
'A'	'Separate'
'B'	'Separate'
'C'	'Separate'
'A'	'Separate'
'C'	'Separate'
'B'	'Separate'
'C'	'Separate'
'A'	'Separate'
'A'	'Separate'
'B'	'Separate'
'B'	'Separate'
'A'	'Separate'
'D'	'Separate'
'A'	'Separate'
'A'	'Separate'
'D'	'Separate'
'C'	'Separate'
'C'	'Separate'
'A'	'Separate'
'B'	'Separate'
'C'	'Separate'
'C'	'Separate'
'C'	'Separate'
'A'	'Separate'
'D'	'Separate'
'A'	'Separate'
'D'	'Separate'
'D'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'B'	'Separate'
'D'	'Separate'
'D'	'Separate'
'D'	'Separate'
'B'	'Separate'
'D'	'Separate'
'C'	'Separate'
'A'	'Separate'
'A'	'Separate'
'A'	'Separate'
'A'	'Separate'
'B'	'Separate'
'D'	'Separate'
'C'	'Separate'
'A'	'Separate'
'B'	'Separate'
'C'	'Separate'
'B'	'Separate'
'B'	'Separate'

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142048&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142048&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142048&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 time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Tabulation of Results
Score x Behandeling
ConnectedSeparate
A5444
B4346
C3738
D2834

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Score  x  Behandeling \tabularnewline
  & Connected & Separate \tabularnewline
A & 54 & 44 \tabularnewline
B & 43 & 46 \tabularnewline
C & 37 & 38 \tabularnewline
D & 28 & 34 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142048&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Score  x  Behandeling[/C][/ROW]
[ROW][C] [/C][C]Connected[/C][C]Separate[/C][/ROW]
[C]A[/C][C]54[/C][C]44[/C][/ROW]
[C]B[/C][C]43[/C][C]46[/C][/ROW]
[C]C[/C][C]37[/C][C]38[/C][/ROW]
[C]D[/C][C]28[/C][C]34[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142048&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142048&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
Score x Behandeling
ConnectedSeparate
A5444
B4346
C3738
D2834






Tabulation of Expected Results
Score x Behandeling
ConnectedSeparate
A4949
B44.544.5
C37.537.5
D3131

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Score  x  Behandeling \tabularnewline
  & Connected & Separate \tabularnewline
A & 49 & 49 \tabularnewline
B & 44.5 & 44.5 \tabularnewline
C & 37.5 & 37.5 \tabularnewline
D & 31 & 31 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142048&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Score  x  Behandeling[/C][/ROW]
[ROW][C] [/C][C]Connected[/C][C]Separate[/C][/ROW]
[C]A[/C][C]49[/C][C]49[/C][/ROW]
[C]B[/C][C]44.5[/C][C]44.5[/C][/ROW]
[C]C[/C][C]37.5[/C][C]37.5[/C][/ROW]
[C]D[/C][C]31[/C][C]31[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142048&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142048&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
Score x Behandeling
ConnectedSeparate
A4949
B44.544.5
C37.537.5
D3131






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic1.72
Degrees of Freedom3
P value0.63

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 1.72 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
P value & 0.63 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142048&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]1.72[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]3[/C][/ROW]
[ROW][C]P value[/C][C]0.63[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142048&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142048&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 Statistic1.72
Degrees of Freedom3
P value0.63


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=='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')