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Author

*The author of this computation has been verified*

R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Sun, 14 Nov 2010 14:28:13 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/14/t1289744916za3i78hmrxweksd.htm/, Retrieved Thu, 19 Jun 2025 15:05:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94530, Retrieved Thu, 19 Jun 2025 15:05:30 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

274

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]
- R PD      [Chi-Squared and McNemar Tests] [WS 6 - Hapiness v...] [2010-11-13 15:37:33] [033eb2749a430605d9b2be7c4aac4a0c]
-             [Chi-Squared and McNemar Tests] [ws 6 part 1] [2010-11-14 11:02:54] [af8eb90b4bf1bcfcc4325c143dbee260]
- R PD          [Chi-Squared and McNemar Tests] [WS 6 part 1] [2010-11-14 14:07:51] [f4dc4aa51d65be851b8508203d9f6001]
-   P               [Chi-Squared and McNemar Tests] [ws 6 part 1 2] [2010-11-14 14:28:13] [7a87ed98a7b21a29d6a45388a9b7b229] [Current]
-   P                 [Chi-Squared and McNemar Tests] [ws 6 part 1 4] [2010-11-14 14:37:48] [f4dc4aa51d65be851b8508203d9f6001] 
-                       [Chi-Squared and McNemar Tests] [ws 6 part 1 5] [2010-11-14 14:40:03] [f4dc4aa51d65be851b8508203d9f6001] 
-                         [Chi-Squared and McNemar Tests] [ws 6 part 1 6] [2010-11-14 14:44:58] [f4dc4aa51d65be851b8508203d9f6001] 

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Dataseries X:

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Histogram

Boxplots

'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'LO'
'LO'	'HI'	'LO'	'HI'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'LO'	'HI'
'HI'	'LO'	'HI'	'LO'
'HI'	'LO'	'LO'	'LO'
'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'LO'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'HI'
'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'
'LO'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'HI'
'HI'	'LO'	'HI'	'HI'
'LO'	'LO'	'HI'	'LO'
'HI'	'LO'	'LO'	'LO'
'HI'	'LO'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'LO'
'HI'	'LO'	'LO'	'HI'
'HI'	'LO'	'LO'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'LO'
'LO'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'LO'	'HI'
'LO'	'LO'	'LO'	'LO'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'LO'
'HI'	'HI'	'LO'	'HI'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'LO'	'LO'
'HI'	'HI'	'LO'	'HI'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'LO'	'LO'	'LO'
'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'LO'	'LO'	'HI'	'HI'
'HI'	'LO'	'LO'	'LO'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'LO'	'LO'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'
'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'LO'	'HI'	'LO'	'LO'
'LO'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'LO'
'LO'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'LO'	'HI'
'LO'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'LO'
'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'LO'	'HI'
'LO'	'HI'	'HI'	'LO'
'LO'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'
'HI'	'HI'	'LO'	'HI'
'LO'	'LO'	'LO'	'LO'
'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'LO'	'HI'
'LO'	'LO'	'LO'	'HI'
'HI'	'LO'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'LO'
'HI'	'LO'	'LO'	'LO'
'LO'	'HI'	'LO'	'HI'
'HI'	'HI'	'LO'	'HI'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94530&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94530&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94530&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Tabulation of Results
Connected x Separate
	HI	LO
HI	62	35
LO	28	37

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Connected  x  Separate \tabularnewline
  & HI & LO \tabularnewline
HI & 62 & 35 \tabularnewline
LO & 28 & 37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94530&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Connected  x  Separate[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]62[/C][C]35[/C][/ROW]
[C]LO[/C][C]28[/C][C]37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94530&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94530&T=1

As an alternative you can also use a QR Code:

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

Tabulation of Results
Connected x Separate
	HI	LO
HI	62	35
LO	28	37

Tabulation of Expected Results
Connected x Separate
	HI	LO
HI	53.89	43.11
LO	36.11	28.89

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Connected  x  Separate \tabularnewline
  & HI & LO \tabularnewline
HI & 53.89 & 43.11 \tabularnewline
LO & 36.11 & 28.89 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94530&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Connected  x  Separate[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]53.89[/C][C]43.11[/C][/ROW]
[C]LO[/C][C]36.11[/C][C]28.89[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94530&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94530&T=2

As an alternative you can also use a QR Code:

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

Tabulation of Expected Results
Connected x Separate
	HI	LO
HI	53.89	43.11
LO	36.11	28.89

Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Chi Square Statistic	6.03
Degrees of Freedom	1
P value	0.01

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with Yates' continuity correction \tabularnewline
Chi Square Statistic & 6.03 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94530&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]6.03[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94530&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94530&T=3

As an alternative you can also use a 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 Statistic	6.03
Degrees of Freedom	1
P value	0.01

Figure 1

PNG link

Postscript link

PDF link

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code