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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 15:09:10 +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/t12897472755xoy0fksrmxkgp2.htm/, Retrieved Wed, 19 Nov 2025 08:12:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94549, Retrieved Wed, 19 Nov 2025 08:12:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact469

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ECEL 2008] [ECEL2008 hypothes...] [2008-06-14 21:17:24] [74be16979710d4c4e7c6647856088456]
F RMPD  [Chi-Squared and McNemar Tests] [vraag 1: Happines...] [2010-11-11 07:53:21] [9f32078fdcdc094ca748857d5ebdb3de]
-   PD    [Chi-Squared and McNemar Tests] [WS 6 - CST 1] [2010-11-11 10:02:36] [033eb2749a430605d9b2be7c4aac4a0c]
-    D      [Chi-Squared and McNemar Tests] [ws 6 part 1] [2010-11-14 10:29:51] [af8eb90b4bf1bcfcc4325c143dbee260]
-   PD          [Chi-Squared and McNemar Tests] [Separate learning...] [2010-11-14 15:09:10] [8bf9de033bd61652831a8b7489bc3566] [Current]
-   PD            [Chi-Squared and McNemar Tests] [Separate learning...] [2010-11-14 15:23:06] [608064602fec1c42028cf50c6f981c88]
-   PD            [Chi-Squared and McNemar Tests] [Separate learning...] [2010-11-14 15:23:06] [608064602fec1c42028cf50c6f981c88]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
'HI'	'LO'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'LO'	'LO'
'HI'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'LO'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'LO'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'LO'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'LO'	'LO'	'LO'	'LO'
'LO'	'LO'	'HI'	'HI'
'LO'	'HI'	'LO'	'HI'
'LO'	'HI'	'LO'	'LO'
'LO'	'HI'	'LO'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'
'LO'	'LO'	'LO'	'LO'
'HI'	'LO'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'LO'	'LO'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'LO'	'LO'
'LO'	'LO'	'LO'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'LO'	'HI'	'LO'	'LO'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'LO'	'HI'	'LO'	'HI'
'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'LO'
'HI'	'LO'	'LO'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'LO'	'LO'	'LO'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'LO'
'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'HI'	'LO'	'LO'
'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'
'LO'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'
'HI'	'LO'	'HI'	'HI'
'HI'	'LO'	'LO'	'LO'
'HI'	'LO'	'LO'	'HI'
'HI'	'LO'	'LO'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'LO'
'LO'	'HI'	'HI'	'LO'
'LO'	'LO'	'LO'	'LO'
'HI'	'LO'	'LO'	'HI'
'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'LO'	'LO'
'HI'	'LO'	'LO'	'LO'
'LO'	'LO'	'LO'	'LO'
'LO'	'HI'	'HI'	'LO'
'HI'	'LO'	'LO'	'HI'
'HI'	'LO'	'LO'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'LO'	'LO'	'LO'
'HI'	'LO'	'LO'	'LO'

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time8 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 8 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94549&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]8 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94549&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94549&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 time8 seconds
R Server'George Udny Yule' @ 72.249.76.132






Tabulation of Results
Separate x Learning
HILO
HI5040
LO3339

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Separate  x  Learning \tabularnewline
  & HI & LO \tabularnewline
HI & 50 & 40 \tabularnewline
LO & 33 & 39 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94549&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Separate  x  Learning[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]50[/C][C]40[/C][/ROW]
[C]LO[/C][C]33[/C][C]39[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94549&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94549&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
Separate x Learning
HILO
HI5040
LO3339






Tabulation of Expected Results
Separate x Learning
HILO
HI46.1143.89
LO36.8935.11

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Separate  x  Learning \tabularnewline
  & HI & LO \tabularnewline
HI & 46.11 & 43.89 \tabularnewline
LO & 36.89 & 35.11 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94549&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Separate  x  Learning[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]46.11[/C][C]43.89[/C][/ROW]
[C]LO[/C][C]36.89[/C][C]35.11[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94549&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94549&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
Separate x Learning
HILO
HI46.1143.89
LO36.8935.11






Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Chi Square Statistic1.15
Degrees of Freedom1
P value0.28

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with Yates' continuity correction \tabularnewline
Chi Square Statistic & 1.15 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94549&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with Yates' continuity correction[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]1.15[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94549&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94549&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 with Yates' continuity correction
Chi Square Statistic1.15
Degrees of Freedom1
P value0.28


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')