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Author

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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Mon, 22 Oct 2012 13:25:26 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/22/t1350926801bf7vhlv9gqx2jsk.htm/, Retrieved Wed, 11 Feb 2026 23:54:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=181865, Retrieved Wed, 11 Feb 2026 23:54:15 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

321

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 16:44:29] [a119987d898559f8af06c0628f264b38]
-   PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 17:25:26] [aa836f436cd2e1db8a325ec9b94d70ce] [Current]
- R         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 17:35:01] [a119987d898559f8af06c0628f264b38] 
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 17:43:05] [a119987d898559f8af06c0628f264b38] 
- R  D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 18:13:57] [a119987d898559f8af06c0628f264b38] 
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 18:17:28] [a119987d898559f8af06c0628f264b38] 
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 18:21:53] [a119987d898559f8af06c0628f264b38] 
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 18:24:57] [a119987d898559f8af06c0628f264b38] 
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 18:27:35] [a119987d898559f8af06c0628f264b38] 
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 18:30:35] [a119987d898559f8af06c0628f264b38] 
- R  D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-10-22 18:37:20] [a119987d898559f8af06c0628f264b38] 

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Dataseries X:

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Histogram

Boxplots

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181865&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181865&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181865&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Tabulation of Results
Depression x Separate
	A	B	C	D
A	11	9	13	8
B	9	9	6	6
C	4	7	4	4
D	7	6	7	6

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Depression  x  Separate \tabularnewline
  & A & B & C & D \tabularnewline
A & 11 & 9 & 13 & 8 \tabularnewline
B & 9 & 9 & 6 & 6 \tabularnewline
C & 4 & 7 & 4 & 4 \tabularnewline
D & 7 & 6 & 7 & 6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181865&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Depression  x  Separate[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]11[/C][C]9[/C][C]13[/C][C]8[/C][/ROW]
[C]B[/C][C]9[/C][C]9[/C][C]6[/C][C]6[/C][/ROW]
[C]C[/C][C]4[/C][C]7[/C][C]4[/C][C]4[/C][/ROW]
[C]D[/C][C]7[/C][C]6[/C][C]7[/C][C]6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181865&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181865&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
Depression x Separate
	A	B	C	D
A	11	9	13	8
B	9	9	6	6
C	4	7	4	4
D	7	6	7	6

Tabulation of Expected Results
Depression x Separate
	A	B	C	D
A	10.96	10.96	10.6	8.48
B	8.02	8.02	7.76	6.21
C	5.08	5.08	4.91	3.93
D	6.95	6.95	6.72	5.38

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Depression  x  Separate \tabularnewline
  & A & B & C & D \tabularnewline
A & 10.96 & 10.96 & 10.6 & 8.48 \tabularnewline
B & 8.02 & 8.02 & 7.76 & 6.21 \tabularnewline
C & 5.08 & 5.08 & 4.91 & 3.93 \tabularnewline
D & 6.95 & 6.95 & 6.72 & 5.38 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181865&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Depression  x  Separate[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]10.96[/C][C]10.96[/C][C]10.6[/C][C]8.48[/C][/ROW]
[C]B[/C][C]8.02[/C][C]8.02[/C][C]7.76[/C][C]6.21[/C][/ROW]
[C]C[/C][C]5.08[/C][C]5.08[/C][C]4.91[/C][C]3.93[/C][/ROW]
[C]D[/C][C]6.95[/C][C]6.95[/C][C]6.72[/C][C]5.38[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181865&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181865&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
Depression x Separate
	A	B	C	D
A	10.96	10.96	10.6	8.48
B	8.02	8.02	7.76	6.21
C	5.08	5.08	4.91	3.93
D	6.95	6.95	6.72	5.38

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	2.91
P value	0.97

\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 & 2.91 \tabularnewline
P value & 0.97 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181865&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]2.91[/C][/ROW]
[ROW][C]P value[/C][C]0.97[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181865&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181865&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 with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	2.91
P value	0.97

Figure 1

PNG link

Postscript link

PDF link

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')

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Dataset

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Input Parameters & R Code