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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 computationMon, 14 Nov 2011 09:08:57 -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/14/t1321279760kln45e4ybvrl36q.htm/, Retrieved Fri, 15 Aug 2025 03:06:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=141998, Retrieved Fri, 15 Aug 2025 03:06:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact246

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Turnover company A] [2010-11-02 11:53:41] [b98453cac15ba1066b407e146608df68]
- RMPD  [Chi-Squared and McNemar Tests] [Chi-Squared 1. Ha...] [2010-11-14 15:50:44] [19f9551d4d95750ef21e9f3cf8fe2131]
- R  D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [WS6: Vraag 1 Fout] [2011-11-14 13:29:02] [8b13b85c94b9a060d82f72930775ea89]
-    D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [WS6: Vraag 1d Juist] [2011-11-14 14:08:57] [240aada53705cc48eae3e230739818e0] [Current]
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Dataset

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

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
R Framework error message & 
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141998&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141998&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141998&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.






Tabulation of Results
Depression x Connected
HILO
A2931
B2812
C1711
D2311

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Depression  x  Connected
 \tabularnewline
  & HI & LO \tabularnewline
A & 29 & 31 \tabularnewline
B & 28 & 12 \tabularnewline
C & 17 & 11 \tabularnewline
D & 23 & 11 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141998&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Depression  x  Connected
[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]A[/C][C]29[/C][C]31[/C][/ROW]
[C]B[/C][C]28[/C][C]12[/C][/ROW]
[C]C[/C][C]17[/C][C]11[/C][/ROW]
[C]D[/C][C]23[/C][C]11[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141998&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141998&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
Depression x Connected
HILO
A2931
B2812
C1711
D2311






Tabulation of Expected Results
Depression x Connected
HILO
A35.9324.07
B23.9516.05
C16.7711.23
D20.3613.64

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Depression  x  Connected
 \tabularnewline
  & HI & LO \tabularnewline
A & 35.93 & 24.07 \tabularnewline
B & 23.95 & 16.05 \tabularnewline
C & 16.77 & 11.23 \tabularnewline
D & 20.36 & 13.64 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141998&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Depression  x  Connected
[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]A[/C][C]35.93[/C][C]24.07[/C][/ROW]
[C]B[/C][C]23.95[/C][C]16.05[/C][/ROW]
[C]C[/C][C]16.77[/C][C]11.23[/C][/ROW]
[C]D[/C][C]20.36[/C][C]13.64[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141998&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141998&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
Depression x Connected
HILO
A35.9324.07
B23.9516.05
C16.7711.23
D20.3613.64






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic5.9
Degrees of Freedom3
P value0.12

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 5.9 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
P value & 0.12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141998&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]5.9[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]3[/C][/ROW]
[ROW][C]P value[/C][C]0.12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141998&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141998&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 Statistic5.9
Degrees of Freedom3
P value0.12


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
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')