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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationThu, 11 Dec 2014 22:30:09 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/11/t1418337023vc0xttv667nosqr.htm/, Retrieved Wed, 20 May 2026 03:36:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266397, Retrieved Wed, 20 May 2026 03:36:41 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact375

Tree of Dependent Computations

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] [] [2014-12-11 14:46:08] [2add28fdfb91c9297fa0715b27e01e1f]
- R PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-11 22:30:09] [921bde233b8ec180d9061abb09deed53] [Current]
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Dataset

Dataseries X:
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Histogram
Boxplots 
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'D' "'D'" "'D'" "'D'" "'F'" "'F'" "'B'" "'A'"

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266397&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266397&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266397&T=0

As an alternative you can also use a QR Code:  
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The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net






Tabulation of Results
E1 x CC
'B''C''D''E'
'A'0010
'D'3260
'E'217472
'F'9329011
'G'511329

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
E1  x  CC \tabularnewline
  & 'B' & 'C' & 'D' & 'E' \tabularnewline
'A' & 0 & 0 & 1 & 0 \tabularnewline
'D' & 3 & 2 & 6 & 0 \tabularnewline
'E' & 2 & 17 & 47 & 2 \tabularnewline
'F' & 9 & 32 & 90 & 11 \tabularnewline
'G' & 5 & 11 & 32 & 9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266397&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]E1  x  CC[/C][/ROW]
[ROW][C] [/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][C]'E'[/C][/ROW]
[C]'A'[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]'D'[/C][C]3[/C][C]2[/C][C]6[/C][C]0[/C][/ROW]
[C]'E'[/C][C]2[/C][C]17[/C][C]47[/C][C]2[/C][/ROW]
[C]'F'[/C][C]9[/C][C]32[/C][C]90[/C][C]11[/C][/ROW]
[C]'G'[/C][C]5[/C][C]11[/C][C]32[/C][C]9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266397&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266397&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Results
E1 x CC
'B''C''D''E'
'A'0010
'D'3260
'E'217472
'F'9329011
'G'511329






Tabulation of Expected Results
E1 x CC
'B''C''D''E'
'A'0.070.220.630.08
'D'0.752.446.940.87
'E'4.6315.1142.95.36
'F'9.6731.5689.5811.2
'G'3.8812.6735.964.49

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
E1  x  CC \tabularnewline
  & 'B' & 'C' & 'D' & 'E' \tabularnewline
'A' & 0.07 & 0.22 & 0.63 & 0.08 \tabularnewline
'D' & 0.75 & 2.44 & 6.94 & 0.87 \tabularnewline
'E' & 4.63 & 15.11 & 42.9 & 5.36 \tabularnewline
'F' & 9.67 & 31.56 & 89.58 & 11.2 \tabularnewline
'G' & 3.88 & 12.67 & 35.96 & 4.49 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266397&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]E1  x  CC[/C][/ROW]
[ROW][C] [/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][C]'E'[/C][/ROW]
[C]'A'[/C][C]0.07[/C][C]0.22[/C][C]0.63[/C][C]0.08[/C][/ROW]
[C]'D'[/C][C]0.75[/C][C]2.44[/C][C]6.94[/C][C]0.87[/C][/ROW]
[C]'E'[/C][C]4.63[/C][C]15.11[/C][C]42.9[/C][C]5.36[/C][/ROW]
[C]'F'[/C][C]9.67[/C][C]31.56[/C][C]89.58[/C][C]11.2[/C][/ROW]
[C]'G'[/C][C]3.88[/C][C]12.67[/C][C]35.96[/C][C]4.49[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266397&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266397&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
E1 x CC
'B''C''D''E'
'A'0.070.220.630.08
'D'0.752.446.940.87
'E'4.6315.1142.95.36
'F'9.6731.5689.5811.2
'G'3.8812.6735.964.49






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic18.21
Degrees of Freedom12
P value0.11

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 18.21 \tabularnewline
Degrees of Freedom & 12 \tabularnewline
P value & 0.11 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266397&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]18.21[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]12[/C][/ROW]
[ROW][C]P value[/C][C]0.11[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266397&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266397&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic18.21
Degrees of Freedom12
P value0.11


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 4 ; par2 = 7 ; 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')