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*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

Wed, 17 Dec 2014 16:42:47 +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/17/t14188345900v8owp7pbcbbt3b.htm/, Retrieved Fri, 21 Feb 2025 18:06:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270515, Retrieved Fri, 21 Feb 2025 18:06:53 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

108

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] [] [2014-12-16 20:10:37] [99723d3e379f668157309b7b2091b15d]
-   PD  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 15:16:43] [99723d3e379f668157309b7b2091b15d]
- R       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 15:21:36] [99723d3e379f668157309b7b2091b15d]
-   P       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 16:02:47] [99723d3e379f668157309b7b2091b15d]
-               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 16:42:47] [9cfaa8765546b50e5519e275546e5cfe] [Current]
-                 [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 17:02:41] [99723d3e379f668157309b7b2091b15d] 
-                   [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 17:31:58] [99723d3e379f668157309b7b2091b15d] 
-                     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 17:39:15] [99723d3e379f668157309b7b2091b15d] 
-                       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 18:12:28] [99723d3e379f668157309b7b2091b15d] 
-                         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 18:27:11] [99723d3e379f668157309b7b2091b15d] 

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Dataseries X:

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Histogram

Boxplots

'B'	'B'	'A'	'D'	'D'	'B'
'B'	'B'	'C'	'B'	'C'	'C'
'A'	'D'	'D'	'D'	'A'	'D'
'B'	'A'	'C'	'B'	'D'	'B'
'C'	'C'	'C'	'C'	'A'	'B'
'B'	'C'	'C'	'B'	'C'	'C'
'A'	'D'	'D'	'D'	'C'	'D'
'B'	'C'	'B'	'A'	'A'	'A'
'D'	'C'	'C'	'B'	'B'	'C'
'B'	'A'	'C'	'D'	'D'	'C'
'B'	'B'	'A'	'A'	'A'	'A'
'C'	'C'	'C'	'D'	'A'	'B'
'C'	'C'	'A'	'B'	'C'	'B'
'B'	'A'	'D'	'C'	'C'	'B'
'B'	'D'	'C'	'D'	'D'	'D'
'A'	'D'	'D'	'D'	'B'	'D'
'A'	'C'	'B'	'C'	'A'	'B'
'B'	'D'	'C'	'C'	'B'	'C'
'B'	'C'	'C'	'C'	'C'	'C'
'A'	'B'	'D'	'D'	'B'	'D'
'C'	'D'	'C'	'D'	'A'	'C'
'B'	'D'	'C'	'C'	'C'	'D'
'A'	'B'	'D'	'D'	'A'	'D'
'A'	'D'	'D'	'D'	'C'	'D'
'A'	'D'	'D'	'C'	'D'	'D'
'C'	'C'	'B'	'C'	'A'	'B'
'B'	'C'	'C'	'C'	'B'	'C'
'D'	'B'	'A'	'A'	'C'	'A'
'A'	'B'	'A'	'A'	'A'	'A'
'A'	'D'	'B'	'A'	'B'	'C'
'B'	'C'	'B'	'A'	'B'	'B'
'D'	'D'	'B'	'D'	'C'	'D'
'C'	'B'	'C'	'D'	'A'	'C'
'A'	'B'	'C'	'A'	'C'	'B'
'B'	'C'	'C'	'C'	'D'	'C'
'B'	'C'	'C'	'B'	'C'	'B'
'B'	'C'	'D'	'C'	'C'	'D'
'D'	'A'	'D'	'D'	'C'	'D'
'A'	'A'	'A'	'A'	'A'	'A'
'B'	'B'	'C'	'A'	'B'	'B'
'C'	'D'	'C'	'D'	'D'	'D'
'B'	'A'	'A'	'A'	'B'	'A'
'D'	'C'	'C'	'C'	'B'	'C'
'D'	'D'	'C'	'C'	'D'	'C'
'A'	'A'	'B'	'B'	'B'	'A'
'A'	'B'	'B'	'B'	'C'	'B'
'D'	'D'	'D'	'D'	'D'	'D'
'A'	'C'	'D'	'C'	'C'	'D'
'C'	'A'	'B'	'C'	'C'	'B'
'A'	'C'	'D'	'A'	'A'	'C'
'B'	'A'	'A'	'A'	'A'	'A'
'A'	'D'	'B'	'C'	'D'	'D'
'B'	'A'	'A'	'D'	'A'	'A'
'B'	'B'	'D'	'C'	'D'	'D'
'A'	'D'	'C'	'C'	'D'	'D'
'A'	'A'	'B'	'B'	'C'	'B'
'A'	'B'	'A'	'B'	'C'	'A'
'A'	'C'	'C'	'C'	'B'	'C'
'D'	'A'	'B'	'C'	'B'	'B'
'B'	'B'	'D'	'B'	'D'	'C'
'B'	'D'	'D'	'D'	'D'	'D'
'C'	'A'	'A'	'A'	'A'	'A'
'C'	'D'	'D'	'C'	'B'	'D'
'B'	'A'	'A'	'A'	'A'	'A'
'B'	'B'	'C'	'B'	'D'	'C'
'A'	'A'	'D'	'D'	'D'	'D'
'D'	'D'	'A'	'B'	'A'	'A'
'A'	'A'	'A'	'A'	'D'	'A'
'C'	'C'	'D'	'C'	'D'	'D'
'B'	'D'	'C'	'C'	'C'	'C'
'B'	'C'	'B'	'C'	'C'	'B'
'B'	'B'	'B'	'B'	'A'	'A'
'A'	'C'	'B'	'C'	'B'	'B'
'A'	'B'	'C'	'C'	'B'	'B'
'A'	'C'	'C'	'D'	'C'	'D'
'B'	'C'	'A'	'C'	'D'	'B'
'B'	'A'	'A'	'B'	'C'	'A'
'C'	'A'	'A'	'B'	'D'	'A'
'A'	'A'	'C'	'D'	'B'	'B'
'B'	'A'	'A'	'A'	'B'	'A'
'B'	'B'	'B'	'C'	'D'	'C'
'D'	'D'	'A'	'C'	'A'	'A'
'B'	'D'	'D'	'C'	'A'	'D'
'B'	'C'	'B'	'C'	'B'	'B'
'D'	'B'	'A'	'B'	'B'	'A'
'A'	'D'	'D'	'D'	'D'	'D'
'B'	'C'	'B'	'A'	'C'	'A'
'B'	'B'	'D'	'C'	'A'	'C'
'C'	'B'	'B'	'A'	'B'	'B'
'A'	'D'	'D'	'D'	'A'	'D'
'B'	'C'	'B'	'C'	'D'	'B'
'A'	'C'	'A'	'A'	'A'	'A'
'B'	'A'	'B'	'B'	'C'	'A'
'B'	'D'	'A'	'A'	'B'	'B'
'D'	'B'	'C'	'C'	'B'	'B'
'C'	'A'	'B'	'C'	'A'	'A'
'B'	'B'	'D'	'B'	'B'	'B'
'B'	'D'	'D'	'D'	'D'	'D'
'B'	'D'	'C'	'C'	'D'	'D'
'C'	'C'	'B'	'A'	'A'	'A'
'A'	'C'	'D'	'A'	'B'	'D'
'A'	'A'	'B'	'D'	'B'	'B'
'A'	'D'	'C'	'C'	'C'	'D'
'C'	'C'	'C'	'C'	'B'	'C'
'B'	'C'	'C'	'C'	'A'	'C'
'A'	'A'	'A'	'A'	'D'	'A'
'B'	'B'	'C'	'D'	'C'	'C'
'B'	'A'	'D'	'D'	'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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270515&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270515&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270515&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	'Gertrude Mary Cox' @ cox.wessa.net

Tabulation of Results
pec x cmd
	A	B	C	D
A	11	7	3	4
B	6	4	8	6
C	3	10	13	5
D	3	3	10	12

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
pec  x  cmd \tabularnewline
  & A & B & C & D \tabularnewline
A & 11 & 7 & 3 & 4 \tabularnewline
B & 6 & 4 & 8 & 6 \tabularnewline
C & 3 & 10 & 13 & 5 \tabularnewline
D & 3 & 3 & 10 & 12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270515&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]pec  x  cmd[/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]7[/C][C]3[/C][C]4[/C][/ROW]
[C]B[/C][C]6[/C][C]4[/C][C]8[/C][C]6[/C][/ROW]
[C]C[/C][C]3[/C][C]10[/C][C]13[/C][C]5[/C][/ROW]
[C]D[/C][C]3[/C][C]3[/C][C]10[/C][C]12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270515&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270515&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
pec x cmd
	A	B	C	D
A	11	7	3	4
B	6	4	8	6
C	3	10	13	5
D	3	3	10	12

Tabulation of Expected Results
pec x cmd
	A	B	C	D
A	5.32	5.56	7.87	6.25
B	5.11	5.33	7.56	6
C	6.6	6.89	9.76	7.75
D	5.96	6.22	8.81	7

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
pec  x  cmd \tabularnewline
  & A & B & C & D \tabularnewline
A & 5.32 & 5.56 & 7.87 & 6.25 \tabularnewline
B & 5.11 & 5.33 & 7.56 & 6 \tabularnewline
C & 6.6 & 6.89 & 9.76 & 7.75 \tabularnewline
D & 5.96 & 6.22 & 8.81 & 7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270515&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]pec  x  cmd[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]5.32[/C][C]5.56[/C][C]7.87[/C][C]6.25[/C][/ROW]
[C]B[/C][C]5.11[/C][C]5.33[/C][C]7.56[/C][C]6[/C][/ROW]
[C]C[/C][C]6.6[/C][C]6.89[/C][C]9.76[/C][C]7.75[/C][/ROW]
[C]D[/C][C]5.96[/C][C]6.22[/C][C]8.81[/C][C]7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270515&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270515&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
pec x cmd
	A	B	C	D
A	5.32	5.56	7.87	6.25
B	5.11	5.33	7.56	6
C	6.6	6.89	9.76	7.75
D	5.96	6.22	8.81	7

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	23.06
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 & 23.06 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270515&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]23.06[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270515&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270515&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	23.06
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 4 ; par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 2 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code