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Author

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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Tue, 09 Nov 2010 08:38:17 +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/09/t1289291818ll1y53ah79lr514.htm/, Retrieved Wed, 11 Feb 2026 13:41:18 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=92847, Retrieved Wed, 11 Feb 2026 13:41:18 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

440

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Chi-Squared and McNemar Tests] [Chi-squares: Depr...] [2010-11-09 08:38:17] [8b27277f7b82c0354d659d066108e38e] [Current]
-   P     [Chi-Squared and McNemar Tests] [Depression-Separate] [2010-11-09 09:01:51] [65eb19f81eab2b6e672eafaed2a27190] 
-           [Chi-Squared and McNemar Tests] [] [2010-11-17 08:35:59] [3b4d50908b02f70d585ba4c3ab01ca98] 
- RMPD      [Histogram] [] [2010-11-17 08:38:57] [3b4d50908b02f70d585ba4c3ab01ca98] 
- RMPD      [Kernel Density Estimation] [] [2010-11-17 08:40:55] [3b4d50908b02f70d585ba4c3ab01ca98] 
- RMPD      [Mean Plot] [] [2010-11-17 08:42:44] [3b4d50908b02f70d585ba4c3ab01ca98] 
- RMPD      [Linear Regression Graphical Model Validation] [] [2010-11-17 08:46:26] [3b4d50908b02f70d585ba4c3ab01ca98] 

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Dataseries X:

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Histogram

Boxplots

'HI'	'HI'	2
'LO'	'LO'	2
'HI'	'HI'	2
'HI'	'LO'	1
'HI'	'HI'	2
'HI'	'LO'	2
'HI'	'LO'	2
'LO'	'HI'	2
'LO'	'HI'	2
'HI'	'HI'	2
'LO'	'LO'	1
'LO'	'HI'	2
'HI'	'HI'	1
'HI'	'HI'	2
'LO'	'HI'	2
'HI'	'LO'	1
'HI'	'LO'	1
'LO'	'HI'	2
'LO'	'HI'	1
'HI'	'LO'	2
'LO'	'LO'	1
'HI'	'LO'	2
'HI'	'HI'	2
'HI'	'HI'	2
'LO'	'LO'	1
'LO'	'LO'	2
'LO'	'HI'	1
'HI'	'HI'	2
'HI'	'LO'	2
'HI'	'LO'	1
'LO'	'LO'	2
'HI'	'LO'	1
'LO'	'LO'	2
'LO'	'HI'	2
'HI'	'LO'	1
'LO'	'LO'	1
'HI'	'LO'	1
'HI'	'LO'	1
'LO'	'LO'	2
'LO'	'LO'	1
'LO'	'LO'	1
'HI'	'LO'	2
'LO'	'LO'	1
'HI'	'LO'	1
'LO'	'LO'	2
'HI'	'HI'	2
'LO'	'HI'	2
'LO'	'HI'	2
'HI'	'HI'	2
'LO'	'LO'	1
'LO'	'HI'	2
'HI'	'LO'	1
'HI'	'LO'	1
'HI'	'HI'	2
'LO'	'LO'	1
'HI'	'LO'	2
'HI'	'HI'	2
'LO'	'HI'	2
'LO'	'HI'	1
'HI'	'HI'	2
'HI'	'LO'	1
'HI'	'HI'	1
'HI'	'HI'	2
'HI'	'HI'	2
'HI'	'LO'	2
'LO'	'HI'	1
'HI'	'HI'	2
'HI'	'LO'	1
'HI'	'HI'	2
'HI'	'HI'	1
'HI'	'HI'	1
'HI'	'HI'	2
'HI'	'HI'	2
'LO'	'HI'	1
'LO'	'LO'	1
'HI'	'LO'	2
'HI'	'HI'	2
'HI'	'LO'	2
'HI'	'LO'	1
'LO'	'LO'	1
'LO'	'HI'	1
'LO'	'HI'	1
'LO'	'HI'	2
'HI'	'LO'	1
'HI'	'HI'	2
'HI'	'LO'	2
'HI'	'HI'	1
'HI'	'HI'	2
'HI'	'LO'	2
'HI'	'LO'	2
'HI'	'HI'	2
'HI'	'LO'	2
'HI'	'HI'	2
'HI'	'LO'	2
'LO'	'LO'	2
'LO'	'HI'	2
'HI'	'HI'	2
'LO'	'LO'	2
'LO'	'HI'	1
'LO'	'HI'	1
'LO'	'HI'	2
'HI'	'HI'	1
'HI'	'HI'	2
'LO'	'LO'	1
'HI'	'HI'	2
'HI'	'LO'	1
'LO'	'HI'	2
'HI'	'HI'	1
'HI'	'HI'	1
'HI'	'HI'	2
'HI'	'HI'	2
'HI'	'LO'	2
'LO'	'HI'	2
'HI'	'LO'	1
'HI'	'HI'	2
'LO'	'LO'	1
'HI'	'HI'	2
'HI'	'HI'	2
'LO'	'HI'	2
'HI'	'HI'	2
'HI'	'HI'	2
'HI'	'LO'	2
'LO'	'HI'	2
'LO'	'HI'	2
'LO'	'LO'	2
'LO'	'LO'	2
'LO'	'LO'	1
'LO'	'HI'	2
'LO'	'HI'	2
'HI'	'LO'	2
'LO'	'LO'	1
'HI'	'LO'	1
'LO'	'HI'	2
'HI'	'LO'	1
'HI'	'HI'	1
'HI'	'LO'	2
'HI'	'LO'	1
'HI'	'HI'	1
'HI'	'HI'	2
'LO'	'HI'	2
'HI'	'HI'	1
'LO'	'HI'	2
'HI'	'HI'	1
'HI'	'HI'	2
'HI'	'LO'	1
'LO'	'LO'	2
'HI'	'LO'	2
'HI'	'HI'	1
'LO'	'LO'	1
'HI'	'LO'	1
'HI'	'HI'	2
'HI'	'HI'	2
'LO'	'HI'	1
'HI'	'HI'	2
'HI'	'HI'	2
'HI'	'LO'	2
'HI'	'LO'	2
'HI'	'HI'	2
'LO'	'HI'	2
'LO'	'LO'	2
'HI'	'HI'	2
'HI'	'HI'	2

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=92847&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=92847&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=92847&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	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Tabulation of Results
Depression x Separate
	HI	LO
HI	56	44
LO	34	28

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Depression  x  Separate \tabularnewline
  & HI & LO \tabularnewline
HI & 56 & 44 \tabularnewline
LO & 34 & 28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=92847&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Depression  x  Separate[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]56[/C][C]44[/C][/ROW]
[C]LO[/C][C]34[/C][C]28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=92847&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=92847&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
Depression x Separate
	HI	LO
HI	56	44
LO	34	28

Statistical Results
McNemar's Chi-squared test with continuity correction
Chi Square Statistic	1.04
Degrees of Freedom	1
P value	0.31

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
McNemar's Chi-squared test with continuity correction \tabularnewline
Chi Square Statistic & 1.04 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.31 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=92847&T=2

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]McNemar's Chi-squared test with continuity correction[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]1.04[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.31[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=92847&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=92847&T=2

As an alternative you can also use a QR Code:

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

Statistical Results
McNemar's Chi-squared test with continuity correction
Chi Square Statistic	1.04
Degrees of Freedom	1
P value	0.31

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = McNemar Chi-Squared ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; 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 != '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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code