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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

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

Date of computation

Thu, 16 Dec 2010 23:05:10 +0000

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/2010/Dec/17/t1292540587ani1ujv2ftgjzqk.htm/, Retrieved Wed, 03 Jun 2026 02:32:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=111318, Retrieved Wed, 03 Jun 2026 02:32:58 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

444

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] [KxT] [2010-12-16 18:12:22] [f82dc80ca9fc4fd83b66f6024d510f8c]
-   P   [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2010-12-16 22:38:47] [4cec9a0c6d7fcfe819c8df12b51eb7f5]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2010-12-16 23:05:10] [9d4f9c24554023ef0148ede5dd3a4d11] [Current]
-             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2010-12-21 13:02:07] [f82dc80ca9fc4fd83b66f6024d510f8c] 
-               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2010-12-29 14:25:59] [4cec9a0c6d7fcfe819c8df12b51eb7f5] 

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'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'survived'	3
'survived'	3
'survived'	3
'deceased'	3
'survived'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'survived'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3
'deceased'	3

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 4 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
R Framework error message & The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111318&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[ROW][C]R Framework error message[/C][C]The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111318&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111318&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	4 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

Tabulation of Results
state x class
	1	2	3
deceased	123	158	528
survived	200	119	181

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
state  x  class
 \tabularnewline
  & 1 & 2 & 3 \tabularnewline
deceased & 123 & 158 & 528 \tabularnewline
survived & 200 & 119 & 181 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111318&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]state  x  class
[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][/ROW]
[C]deceased[/C][C]123[/C][C]158[/C][C]528[/C][/ROW]
[C]survived[/C][C]200[/C][C]119[/C][C]181[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111318&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111318&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
state x class
	1	2	3
deceased	123	158	528
survived	200	119	181

Tabulation of Expected Results
state x class
	1	2	3
deceased	199.62	171.19	438.18
survived	123.38	105.81	270.82

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
state  x  class
 \tabularnewline
  & 1 & 2 & 3 \tabularnewline
deceased & 199.62 & 171.19 & 438.18 \tabularnewline
survived & 123.38 & 105.81 & 270.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111318&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]state  x  class
[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][/ROW]
[C]deceased[/C][C]199.62[/C][C]171.19[/C][C]438.18[/C][/ROW]
[C]survived[/C][C]123.38[/C][C]105.81[/C][C]270.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111318&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111318&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
state x class
	1	2	3
deceased	199.62	171.19	438.18
survived	123.38	105.81	270.82

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	127.86
P value	0

\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 & 127.86 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=111318&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]127.86[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=111318&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=111318&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	127.86
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code