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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 and McNemar Tests
Date of computationSun, 14 Nov 2010 16:39:15 +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/2010/Nov/14/t1289753413agl7nenfhg3bp6c.htm/, Retrieved Thu, 06 Nov 2025 02:16:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94592, Retrieved Thu, 06 Nov 2025 02:16:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact437

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]
-    D      [Chi-Squared and McNemar Tests] [Chi-Squared 4. De...] [2010-11-14 16:39:15] [fca744d17b21beb005bf086e7071b2bb] [Current]
- R           [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [WS6 - Quesion 1 D...] [2011-11-14 12:46:29] [59e9c089bdd600b584669dddc48fbcc3]
- RM          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-14 18:51:44] [74be16979710d4c4e7c6647856088456]
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Dataset

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

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24
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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \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=94592&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/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=94592&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94592&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24
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 Seperate
HILO
A3129
B2515
C1513
D1915

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Depression  x  Seperate
 \tabularnewline
  & HI & LO \tabularnewline
A & 31 & 29 \tabularnewline
B & 25 & 15 \tabularnewline
C & 15 & 13 \tabularnewline
D & 19 & 15 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94592&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Depression  x  Seperate
[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]A[/C][C]31[/C][C]29[/C][/ROW]
[C]B[/C][C]25[/C][C]15[/C][/ROW]
[C]C[/C][C]15[/C][C]13[/C][/ROW]
[C]D[/C][C]19[/C][C]15[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94592&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94592&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 Seperate
HILO
A3129
B2515
C1513
D1915






Tabulation of Expected Results
Depression x Seperate
HILO
A33.3326.67
B22.2217.78
C15.5612.44
D18.8915.11

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Depression  x  Seperate
 \tabularnewline
  & HI & LO \tabularnewline
A & 33.33 & 26.67 \tabularnewline
B & 22.22 & 17.78 \tabularnewline
C & 15.56 & 12.44 \tabularnewline
D & 18.89 & 15.11 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94592&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Depression  x  Seperate
[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]A[/C][C]33.33[/C][C]26.67[/C][/ROW]
[C]B[/C][C]22.22[/C][C]17.78[/C][/ROW]
[C]C[/C][C]15.56[/C][C]12.44[/C][/ROW]
[C]D[/C][C]18.89[/C][C]15.11[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94592&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94592&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 Seperate
HILO
A33.3326.67
B22.2217.78
C15.5612.44
D18.8915.11






Statistical Results
Pearson's Chi-squared test
Chi Square Statistic1.19
Degrees of Freedom3
P value0.75

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 1.19 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
P value & 0.75 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94592&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]1.19[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]3[/C][/ROW]
[ROW][C]P value[/C][C]0.75[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94592&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94592&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
Chi Square Statistic1.19
Degrees of Freedom3
P value0.75


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 != 'McNemar Chi-Squared') {
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)
a<-table.element(a, 'Chi Square Statistic', 1, TRUE)
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
a<-table.row.end(a)
if(!simulate.p.value){
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$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')