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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 computationSun, 13 Nov 2011 10:38:11 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/13/t1321198715wjr0320nz54v90z.htm/, Retrieved Tue, 10 Feb 2026 14:18:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=141748, Retrieved Tue, 10 Feb 2026 14:18:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact412

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] [Learning Happinne...] [2011-11-13 15:38:11] [2a6d487209befbc7c5ce02a41ecac161] [Current]
- R  D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Q1 BX-CC] [2011-11-13 15:45:29] [9d4f280afcb4ecc352d7c6f913a0a151]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Software: Happine...] [2011-11-13 15:49:41] [9d4f280afcb4ecc352d7c6f913a0a151]
- R  D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-13 15:52:03] [9d4f280afcb4ecc352d7c6f913a0a151]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-13 15:57:52] [9d4f280afcb4ecc352d7c6f913a0a151]
-    D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-13 16:00:21] [9d4f280afcb4ecc352d7c6f913a0a151]
-    D          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-13 16:04:55] [9d4f280afcb4ecc352d7c6f913a0a151]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
'D'	'B'	'A'
'A'	'A'	'A'
'A'	'D'	'D'
'C'	'D'	'D'
'C'	'A'	'B'
'D'	'A'	'B'
'A'	'B'	'A'
'C'	'B'	'B'
'C'	'B'	'B'
'C'	'B'	'A'
'A'	'A'	'A'
'A'	'A'	'B'
'A'	'D'	'A'
'A'	'A'	'A'
'A'	'A'	'C'
'C'	'B'	'C'
'C'	'B'	'B'
'A'	'A'	'A'
'A'	'B'	'A'
'A'	'A'	'C'
'A'	'A'	'C'
'A'	'D'	'D'
'A'	'B'	'A'
'A'	'D'	'A'
'A'	'A'	'A'
'A'	'D'	'A'
'A'	'A'	'B'
'C'	'B'	'C'
'A'	'B'	'C'
'C'	'D'	'B'
'C'	'A'	'D'
'D'	'C'	'D'
'C'	'A'	'A'
'A'	'B'	'B'
'C'	'B'	'B'
'D'	'A'	'C'
'D'	'D'	'D'
'C'	'B'	'B'
'A'	'A'	'D'
'A'	'C'	'B'
'A'	'B'	'A'
'C'	'A'	'B'
'A'	'A'	'A'
'C'	'D'	'B'
'C'	'D'	'A'
'D'	'D'	'A'
'C'	'B'	'A'
'C'	'B'	'C'
'A'	'A'	'B'
'C'	'C'	'A'
'A'	'A'	'C'
'C'	'B'	'C'
'D'	'D'	'C'
'A'	'D'	'B'
'D'	'D'	'C'
'C'	'B'	'A'
'A'	'A'	'A'
'A'	'B'	'D'
'C'	'D'	'A'
'A'	'D'	'B'
'D'	'D'	'D'
'A'	'C'	'A'
'A'	'D'	'B'
'C'	'B'	'D'
'A'	'B'	'B'
'A'	'D'	'B'
'A'	'D'	'B'
'A'	'D'	'D'
'D'	'B'	'A'
'A'	'B'	'B'
'D'	'B'	'A'
'C'	'A'	'D'
'A'	'B'	'B'
'A'	'B'	'A'
'A'	'C'	'B'
'A'	'D'	'A'
'A'	'A'	'A'
'A'	'C'	'B'
'D'	'B'	'D'
'A'	'C'	'A'
'A'	'B'	'C'
'A'	'A'	'A'
'A'	'B'	'B'
'C'	'A'	'A'
'C'	'B'	'C'
'A'	'B'	'C'
'C'	'B'	'A'
'A'	'B'	'C'
'A'	'C'	'D'
'C'	'D'	'C'
'D'	'A'	'D'
'A'	'C'	'B'
'A'	'B'	'B'
'C'	'B'	'C'
'D'	'C'	'D'
'A'	'A'	'A'
'A'	'D'	'A'
'A'	'B'	'B'
'A'	'A'	'A'
'C'	'B'	'C'
'A'	'A'	'A'
'A'	'D'	'A'
'A'	'A'	'B'
'C'	'D'	'C'
'A'	'B'	'C'
'D'	'D'	'A'
'A'	'A'	'A'
'A'	'B'	'A'
'A'	'D'	'B'
'D'	'D'	'A'
'A'	'B'	'D'
'A'	'D'	'D'
'A'	'C'	'C'
'D'	'B'	'C'
'D'	'A'	'A'
'A'	'A'	'A'
'C'	'B'	'C'
'C'	'B'	'B'
'D'	'B'	'C'
'A'	'B'	'A'
'D'	'D'	'C'
'A'	'B'	'D'
'D'	'B'	'A'
'A'	'B'	'A'
'C'	'B'	'C'
'A'	'C'	'D'
'C'	'A'	'A'
'A'	'A'	'A'
'C'	'A'	'C'
'D'	'B'	'B'
'A'	'C'	'C'
'D'	'D'	'D'
'A'	'B'	'A'
'D'	'B'	'D'
'C'	'B'	'A'
'C'	'A'	'C'
'D'	'D'	'D'
'C'	'B'	'B'
'D'	'D'	'D'
'D'	'B'	'B'
'D'	'C'	'D'
'A'	'B'	'C'
'C'	'A'	'D'
'A'	'B'	'D'
'A'	'B'	'D'
'D'	'A'	'A'
'A'	'A'	'C'
'D'	'D'	'B'
'A'	'D'	'C'
'D'	'D'	'B'
'D'	'A'	'A'
'C'	'C'	'A'
'A'	'A'	'B'
'A'	'D'	'B'
'C'	'D'	'B'
'D'	'C'	'C'
'A'	'C'	'B'
'D'	'B'	'C'
'C'	'A'	'C'
'A'	'C'	'B'
'D'	'D'	'C'
'D'	'C'	'B'

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'AstonUniversity' @ aston.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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141748&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141748&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141748&T=0

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


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 time2 seconds
R Server'AstonUniversity' @ aston.wessa.net






Tabulation of Results
Happiness x Connected
ABCD
A21895
B1816188
C4735
D1112710

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Happiness  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
A & 21 & 8 & 9 & 5 \tabularnewline
B & 18 & 16 & 18 & 8 \tabularnewline
C & 4 & 7 & 3 & 5 \tabularnewline
D & 11 & 12 & 7 & 10 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141748&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Happiness  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]21[/C][C]8[/C][C]9[/C][C]5[/C][/ROW]
[C]B[/C][C]18[/C][C]16[/C][C]18[/C][C]8[/C][/ROW]
[C]C[/C][C]4[/C][C]7[/C][C]3[/C][C]5[/C][/ROW]
[C]D[/C][C]11[/C][C]12[/C][C]7[/C][C]10[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141748&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141748&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
Happiness x Connected
ABCD
A21895
B1816188
C4735
D1112710






Statistical Results
McNemar's Chi-squared test
McNemar Chi Square Statistic13.99
Degrees of Freedom6
P value0.03

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
McNemar's Chi-squared test \tabularnewline
McNemar Chi Square Statistic & 13.99 \tabularnewline
Degrees of Freedom & 6 \tabularnewline
P value & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141748&T=2

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]McNemar's Chi-squared test[/C][/ROW]
[ROW][C]McNemar Chi Square Statistic[/C][C]13.99[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]6[/C][/ROW]
[ROW][C]P value[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141748&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141748&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:

Statistical Results
McNemar's Chi-squared test
McNemar Chi Square Statistic13.99
Degrees of Freedom6
P value0.03


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; par2 = 3 ; par3 = McNemar Chi-Squared ;
Parameters (R input):
par1 = 2 ; par2 = 3 ; par3 = McNemar 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')