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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

Thu, 30 Oct 2014 17:33:13 +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/2014/Oct/30/t1414690404zeju73i3wfty77r.htm/, Retrieved Thu, 31 Oct 2024 23:09:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=250221, Retrieved Thu, 31 Oct 2024 23:09:07 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-10-30 17:33:13] [3a47cc92becfffb332a48f98591f891c] [Current]

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

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	'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 & 2 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=250221&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]'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=250221&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=250221&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	'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
Connected4 x Separate4
	'A'	'B'	'C'	'D'
'A'	22	14	11	7
'B'	13	13	11	6
'C'	8	10	10	9
'D'	1	9	6	12

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Connected4  x  Separate4 \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
'A' & 22 & 14 & 11 & 7 \tabularnewline
'B' & 13 & 13 & 11 & 6 \tabularnewline
'C' & 8 & 10 & 10 & 9 \tabularnewline
'D' & 1 & 9 & 6 & 12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=250221&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Connected4  x  Separate4[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]'A'[/C][C]22[/C][C]14[/C][C]11[/C][C]7[/C][/ROW]
[C]'B'[/C][C]13[/C][C]13[/C][C]11[/C][C]6[/C][/ROW]
[C]'C'[/C][C]8[/C][C]10[/C][C]10[/C][C]9[/C][/ROW]
[C]'D'[/C][C]1[/C][C]9[/C][C]6[/C][C]12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=250221&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=250221&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
Connected4 x Separate4
	'A'	'B'	'C'	'D'
'A'	22	14	11	7
'B'	13	13	11	6
'C'	8	10	10	9
'D'	1	9	6	12

Tabulation of Expected Results
Connected4 x Separate4
	'A'	'B'	'C'	'D'
'A'	14.67	15.33	12.67	11.33
'B'	11.68	12.21	10.09	9.02
'C'	10.05	10.51	8.68	7.77
'D'	7.6	7.95	6.57	5.88

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Connected4  x  Separate4 \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
'A' & 14.67 & 15.33 & 12.67 & 11.33 \tabularnewline
'B' & 11.68 & 12.21 & 10.09 & 9.02 \tabularnewline
'C' & 10.05 & 10.51 & 8.68 & 7.77 \tabularnewline
'D' & 7.6 & 7.95 & 6.57 & 5.88 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=250221&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Connected4  x  Separate4[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]'A'[/C][C]14.67[/C][C]15.33[/C][C]12.67[/C][C]11.33[/C][/ROW]
[C]'B'[/C][C]11.68[/C][C]12.21[/C][C]10.09[/C][C]9.02[/C][/ROW]
[C]'C'[/C][C]10.05[/C][C]10.51[/C][C]8.68[/C][C]7.77[/C][/ROW]
[C]'D'[/C][C]7.6[/C][C]7.95[/C][C]6.57[/C][C]5.88[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=250221&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=250221&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
Connected4 x Separate4
	'A'	'B'	'C'	'D'
'A'	14.67	15.33	12.67	11.33
'B'	11.68	12.21	10.09	9.02
'C'	10.05	10.51	8.68	7.77
'D'	7.6	7.95	6.57	5.88

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	20.1
Degrees of Freedom	9
P value	0.02

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 20.1 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=250221&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]20.1[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=250221&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=250221&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	20.1
Degrees of Freedom	9
P value	0.02

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

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')

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Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code