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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 13:08:05 -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/t13509256985qzfm4a3mp5i4v9.htm/, Retrieved Fri, 03 May 2024 19:19:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=181808, Retrieved Fri, 03 May 2024 19:19:58 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [separate] [2012-10-22 17:08:05] [b10844c2ba52e3b5d69e5048d57239b0] [Current]

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Boxplots

4	4	4	5	5	4
4	4	3	3	3	3
4	4	1	2	3	3
4	4	2	3	4	2
4	4	2	5	2	4
5	3	2	1	1	4
3	4	5	3	2	4
4	5	2	4	4	4
4	3	2	4	5	4
4	3	3	2	5	4
5	3	1	3	5	3
3	4	3	4	3	4
5	4	3	4	4	3
5	4	2	4	2	4
2	4	3	5	4	3
3	4	1	3	5	3
5	4	2	4	4	4
3	5	3	5	5	2
4	5	3	5	4	3
4	3	2	3	2	4
3	4	2	2	5	2
4	2	3	4	2	3
4	3	4	4	2	4
5	4	2	4	4	4
5	5	2	5	4	2
5	4	4	4	1	2
3	4	1	5	4	3
4	4	3	3	3	4
4	2	2	4	3	4
2	4	2	4	4	3
3	3	1	5		4
4	4	2	3	4	3
4	2	4	4	2	3
4	3	3	4	3	4
5	2	2	4	2	1
2	3	2	5	4	2
3	4	1	3	4	3
4	3	3	4	3	4
3	2	1	4	3	3
4	4	3	4	4	3
4	4	2	3	4	3
3	4	2	4	4	4
4	4	2	4	4	4
5	3	2	4	3	3
4	4	2	5	4	4
4	4	4	4	4	3
4	4	2	5	4	4
4	3	2	4	4	4
4	4	3	4	5	4
3	4	3	5	4	3
4	4	2	3	4	3
3	3	2	4	3	3
4	4	1	2	4	2
3	5	3	4	4	4
4	4	2	3	3	4
2	4	1	5	5	3
4	4	4	5	3	4
4	4	1	3	4	2
3	4	4	4	4	4
4	4	2	5	4	3
3	4	1	3	2	4
5	3	4	3	3	4
3	5	2	5	4	2
5	3	1	5	4	4
5	4	3	5	3	2
4	4	1	5	4	4
3	4	4	4	4	4
3	4	1	2	4	1
4	4	3	4	4	4
4	4	2	4	4	4
4	3	3	4	4	4
3	4	2	4	4	4
4	4	2	5	5	4
4	5	1	5	3	3
4	4	2	4	4	2
4	4	2	2	3	4
4	3	4	4	5	4
3	4	2	4	3	3
4	2	3	2	4	2
3	4	2	4	3	3
4	4	3	4	4	4
4	4	2	3	4	4
3	4	2	4	4	4
5	4	3	4	4	3
3	4	2	4	4	3
5	4	2	4	4	3
4	4	2	4	3	4
4	4	2	3	4	4
3	2	1	4	4	3
2	4	1	4	4	3
3	4	1	5	4	3
1	5	3	4	3	3
4	4	2	4	4	4
4	4	2	4	2	3
4	2	1	4	4	4
4	5	3	5	5	4
4	4	3	4	3	4
5	3	3	4	4	4
3	4	3	4	3	3
2	3	2	3	5	4
4	4	4	5	3	4
3	5	3	5	4	5
4	5	3	2	4	5
4	4	2	4	3	2
4	4	2	4	5	4
4	5	1	4	3	4
4	4	2	4	4	5
2	4	2	5	4	4
4	2	3	5	4	2
5	5	5	5	3	5
4	2	2	3	4	4
4	4	2	3	4	4
4	3	2	4	4	4
3	4	1	4	5	3
4	5	1	4	4	3
4	4	2	3	3	3
3	3	2	3	4	3
2	4	2	4	4	4
4	5	2	4	4	3
5	5	2	3	2	2
4	5	1	4	3	4
4	2	2	3	4	3
5	4	1	5	4	3
5	3	2	4	5	3
2	4	2	4	3	4
3	4	2	4	4	2
4	3	3	4	4	2
4	5	3	4	4	3
4	4	2	4	4	2
4	3	2	4	3	4
3	3	1	3	5	2
3	2	1	2	3	2
4	5	3	5	4	3
3	2	2	3	4	3
4	4	2	4	5	3
5	3	2	4	3	3
4	2	1	4	3	1
3	4	2	3	3	3
2	2	2	4	4	4
5	3	2	4	3	4
3	4	3	3	4	4
4	2	2	5	3	4
2	2	3	4	4	2
4	3	1	4	4	5
3	4	2	3	2	2
4	5	3	4	4	3
3	4	2	2	4	2
4	4	2	3	4	3
4	2	2	4	2	2
4	4	2	3	2	3
5	4	2	4	4	4
5	5	3	3	4	3
3	4	1	4	4	4
3	4	3	4	4	4
NA	3	3	4	4	3
3	4	2	2	4	3
1	5	3	4	3	3
4	4	4	5	3	4
4	4	2	4	4	2
4	4	2	3	4	3
4	2	2	4	4	4
2	5	2	4	4	3

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.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=181808&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.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=181808&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181808&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	3 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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
A x B
	1	2	3	4	5
2	5	8	3	3	0
3	3	11	7	7	1
4	12	46	15	12	2
5	4	4	12	5	2

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
2 & 5 & 8 & 3 & 3 & 0 \tabularnewline
3 & 3 & 11 & 7 & 7 & 1 \tabularnewline
4 & 12 & 46 & 15 & 12 & 2 \tabularnewline
5 & 4 & 4 & 12 & 5 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181808&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]2[/C][C]5[/C][C]8[/C][C]3[/C][C]3[/C][C]0[/C][/ROW]
[C]3[/C][C]3[/C][C]11[/C][C]7[/C][C]7[/C][C]1[/C][/ROW]
[C]4[/C][C]12[/C][C]46[/C][C]15[/C][C]12[/C][C]2[/C][/ROW]
[C]5[/C][C]4[/C][C]4[/C][C]12[/C][C]5[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181808&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181808&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
A x B
	1	2	3	4	5
2	5	8	3	3	0
3	3	11	7	7	1
4	12	46	15	12	2
5	4	4	12	5	2

Tabulation of Expected Results
A x B
	1	2	3	4	5
2	2.81	8.09	4.34	3.17	0.59
3	4.3	12.35	6.62	4.83	0.9
4	12.89	37.06	19.87	14.5	2.69
5	4	11.5	6.17	4.5	0.83

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
2 & 2.81 & 8.09 & 4.34 & 3.17 & 0.59 \tabularnewline
3 & 4.3 & 12.35 & 6.62 & 4.83 & 0.9 \tabularnewline
4 & 12.89 & 37.06 & 19.87 & 14.5 & 2.69 \tabularnewline
5 & 4 & 11.5 & 6.17 & 4.5 & 0.83 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181808&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]2[/C][C]2.81[/C][C]8.09[/C][C]4.34[/C][C]3.17[/C][C]0.59[/C][/ROW]
[C]3[/C][C]4.3[/C][C]12.35[/C][C]6.62[/C][C]4.83[/C][C]0.9[/C][/ROW]
[C]4[/C][C]12.89[/C][C]37.06[/C][C]19.87[/C][C]14.5[/C][C]2.69[/C][/ROW]
[C]5[/C][C]4[/C][C]11.5[/C][C]6.17[/C][C]4.5[/C][C]0.83[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181808&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181808&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
A x B
	1	2	3	4	5
2	2.81	8.09	4.34	3.17	0.59
3	4.3	12.35	6.62	4.83	0.9
4	12.89	37.06	19.87	14.5	2.69
5	4	11.5	6.17	4.5	0.83

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	20.37
Degrees of Freedom	12
P value	0.06

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 20.37 \tabularnewline
Degrees of Freedom & 12 \tabularnewline
P value & 0.06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181808&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]20.37[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]12[/C][/ROW]
[ROW][C]P value[/C][C]0.06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181808&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181808&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 Statistic	20.37
Degrees of Freedom	12
P value	0.06

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code