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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

Thu, 18 Dec 2014 15:12:02 +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/Dec/18/t1418915537v3lbi9l1wsws4q2.htm/, Retrieved Sun, 19 May 2024 18:19:57 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271052, Retrieved Sun, 19 May 2024 18:19:57 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

112

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] [Paper] [2014-12-18 15:12:02] [35f348c3c3a72505e6ab9e88b1cb72c0] [Current]

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271052&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271052&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271052&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	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Tabulation of Results
Calculation x Graphical_Interpretation
	'A'	'B'	'C'	'D'
A	1	0	0	0
B	0	4	1	1
C	2	2	3	9
D	3	9	18	63

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Calculation  x  Graphical_Interpretation \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 1 & 0 & 0 & 0 \tabularnewline
B & 0 & 4 & 1 & 1 \tabularnewline
C & 2 & 2 & 3 & 9 \tabularnewline
D & 3 & 9 & 18 & 63 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271052&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Calculation  x  Graphical_Interpretation[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]B[/C][C]0[/C][C]4[/C][C]1[/C][C]1[/C][/ROW]
[C]C[/C][C]2[/C][C]2[/C][C]3[/C][C]9[/C][/ROW]
[C]D[/C][C]3[/C][C]9[/C][C]18[/C][C]63[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271052&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271052&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
Calculation x Graphical_Interpretation
	'A'	'B'	'C'	'D'
A	1	0	0	0
B	0	4	1	1
C	2	2	3	9
D	3	9	18	63

Tabulation of Expected Results
Calculation x Graphical_Interpretation
	'A'	'B'	'C'	'D'
A	0.05	0.13	0.19	0.63
B	0.31	0.78	1.14	3.78
C	0.83	2.07	3.03	10.07
D	4.81	12.03	17.64	58.53

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Calculation  x  Graphical_Interpretation \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 0.05 & 0.13 & 0.19 & 0.63 \tabularnewline
B & 0.31 & 0.78 & 1.14 & 3.78 \tabularnewline
C & 0.83 & 2.07 & 3.03 & 10.07 \tabularnewline
D & 4.81 & 12.03 & 17.64 & 58.53 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271052&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Calculation  x  Graphical_Interpretation[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]0.05[/C][C]0.13[/C][C]0.19[/C][C]0.63[/C][/ROW]
[C]B[/C][C]0.31[/C][C]0.78[/C][C]1.14[/C][C]3.78[/C][/ROW]
[C]C[/C][C]0.83[/C][C]2.07[/C][C]3.03[/C][C]10.07[/C][/ROW]
[C]D[/C][C]4.81[/C][C]12.03[/C][C]17.64[/C][C]58.53[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271052&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271052&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
Calculation x Graphical_Interpretation
	'A'	'B'	'C'	'D'
A	0.05	0.13	0.19	0.63
B	0.31	0.78	1.14	3.78
C	0.83	2.07	3.03	10.07
D	4.81	12.03	17.64	58.53

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	37.67
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 & 37.67 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271052&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]37.67[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271052&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271052&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	37.67
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

par1 = 1 ; par2 = 3 ; 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

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code