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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, 16 Nov 2010 10:27:41 +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/16/t1289903174juab08vpepnyoab.htm/, Retrieved Sat, 04 May 2024 23:13:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=95350, Retrieved Sat, 04 May 2024 23:13:32 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

122

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

-     [Chi-Squared and McNemar Tests] [Chi-Squared tests] [2010-11-08 20:26:05] [62f7c80c4d96454bbd2b2b026ea9aad9]
-   PD    [Chi-Squared and McNemar Tests] [ws 6 Connected   ...] [2010-11-16 10:27:41] [350231caf55a86a218fd48dc4d2e2f8b] [Current]

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Dataseries X:

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Histogram

Boxplots

'A'	'A'
'A'	'C'
'D'	'B'
'D'	'C'
'B'	'A'
'B'	'D'
'A'	'D'
'B'	'B'
'B'	'B'
'A'	'A'
'A'	'D'
'B'	'B'
'A'	'B'
'A'	'A'
'C'	'A'
'C'	'C'
'B'	'C'
'A'	'A'
'A'	'A'
'C'	'C'
'C'	'C'
'D'	'D'
'A'	'A'
'A'	'A'
'A'	'C'
'A'	'C'
'B'	'B'
'C'	'A'
'C'	'C'
'B'	'C'
'D'	'D'
'D'	'C'
'A'	'D'
'B'	'A'
'B'	'D'
'C'	'C'
'D'	'D'
'B'	'C'
'D'	'D'
'B'	'C'
'A'	'C'
'B'	'C'
'A'	'C'
'B'	'C'
'A'	'D'
'A'	'B'
'A'	'A'
'C'	'B'
'B'	'A'
'A'	'C'
'C'	'A'
'C'	'D'
'C'	'C'
'B'	'A'
'C'	'C'
'A'	'C'
'A'	'B'
'D'	'B'
'A'	'B'
'B'	'B'
'D'	'D'
'A'	'B'
'B'	'B'
'D'	'B'
'B'	'D'
'B'	'A'
'B'	'B'
'D'	'D'
'A'	'A'
'B'	'A'
'A'	'B'
'D'	'A'
'B'	'A'
'A'	'A'
'B'	'D'
'A'	'D'
'A'	'A'
'B'	'D'
'D'	'D'
'A'	'D'
'C'	'B'
'A'	'A'
'B'	'A'
'A'	'C'
'C'	'B'
'C'	'D'
'A'	'A'
'C'	'B'
'D'	'C'
'C'	'C'
'D'	'B'
'B'	'C'
'B'	'A'
'C'	'D'
'D'	'D'
'A'	'B'
'A'	'B'
'B'	'D'
'A'	'B'
'C'	'B'
'A'	'B'
'A'	'B'
'B'	'A'
'C'	'D'
'C'	'A'
'A'	'C'
'A'	'B'
'A'	'A'
'B'	'B'
'A'	'A'
'D'	'B'
'D'	'C'
'C'	'A'
'C'	'C'
'A'	'B'
'A'	'C'
'C'	'A'
'B'	'A'
'C'	'B'
'A'	'B'
'C'	'A'
'D'	'D'
'A'	'A'
'A'	'A'
'C'	'D'
'D'	'C'
'A'	'C'
'A'	'A'
'C'	'B'
'B'	'C'
'C'	'C'
'D'	'C'
'A'	'A'
'D'	'D'
'A'	'A'
'C'	'D'
'D'	'D'
'B'	'B'
'D'	'B'
'B'	'B'
'D'	'B'
'C'	'B'
'D'	'B'
'D'	'B'
'D'	'D'
'A'	'D'
'C'	'D'
'B'	'B'
'C'	'D'
'B'	'C'
'A'	'A'
'A'	'A'
'B'	'A'
'B'	'A'
'B'	'B'
'C'	'D'
'B'	'C'
'C'	'A'
'C'	'B'
'B'	'C'
'C'	'B'
'B'	'B'

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
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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \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=95350&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]
[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=95350&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95350&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
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
Connected x Separate
	A	B	C	D
A	22	14	11	7
B	13	13	11	6
C	8	10	10	9
D	1	9	6	12

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Connected  x  Separate
 \tabularnewline
  & A & B & C & D \tabularnewline
A & 22 & 14 & 11 & 7 \tabularnewline
B & 13 & 13 & 11 & 6 \tabularnewline
C & 8 & 10 & 10 & 9 \tabularnewline
D & 1 & 9 & 6 & 12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=95350&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Connected  x  Separate
[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]22[/C][C]14[/C][C]11[/C][C]7[/C][/ROW]
[C]B[/C][C]13[/C][C]13[/C][C]11[/C][C]6[/C][/ROW]
[C]C[/C][C]8[/C][C]10[/C][C]10[/C][C]9[/C][/ROW]
[C]D[/C][C]1[/C][C]9[/C][C]6[/C][C]12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=95350&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95350&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
	A	B	C	D
A	22	14	11	7
B	13	13	11	6
C	8	10	10	9
D	1	9	6	12

Statistical Results
McNemar's Chi-squared test
Chi Square Statistic	6.26
Degrees of Freedom	6
P value	0.39

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
McNemar's Chi-squared test \tabularnewline
Chi Square Statistic & 6.26 \tabularnewline
Degrees of Freedom & 6 \tabularnewline
P value & 0.39 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=95350&T=2

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]McNemar's Chi-squared test[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]6.26[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]6[/C][/ROW]
[ROW][C]P value[/C][C]0.39[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=95350&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=95350&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
Chi Square Statistic	6.26
Degrees of Freedom	6
P value	0.39

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