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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

Sat, 13 Nov 2010 10:44:30 +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/13/t12896450046ef3g3teln41fkk.htm/, Retrieved Sat, 20 Apr 2024 05:42:25 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=94334, Retrieved Sat, 20 Apr 2024 05:42:25 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

199

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

F       [Chi-Squared and McNemar Tests] [Connected - Separate] [2010-11-13 10:44:30] [e192c8164fa91adb027f71579ac0a49a] [Current]
- R       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2011-11-11 16:10:37] [ee8c3a74bf3b349877806e9a50913c60] 
- R PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Workshop 6 - Conn...] [2011-11-15 21:29:34] [805a2cd4f7b6665cd8870eed4006f53c] 
- R P       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Workshop 6 - Happ...] [2011-11-15 21:50:17] [805a2cd4f7b6665cd8870eed4006f53c] 
-   P         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Workshop 6 - Conn...] [2011-11-15 21:55:45] [805a2cd4f7b6665cd8870eed4006f53c] 
-   P           [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Workshop 6 - Conn...] [2011-11-15 21:59:14] [805a2cd4f7b6665cd8870eed4006f53c] 
-                 [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Workshop 6 - Sepa...] [2011-11-15 22:03:12] [805a2cd4f7b6665cd8870eed4006f53c] 
-                   [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Workshop 6 - Sepa...] [2011-11-15 22:04:50] [805a2cd4f7b6665cd8870eed4006f53c] 

Feedback Forum

2010-11-18 22:31:15 [d41d8cd98f00b204e9800998ecf8427e] [reply] 
Hier is een cel count te zien die lager is dan 5, dus had je hier LO en HI ook even moeten berekenen zodat je juistere conclusies kan formuleren.
2010-11-21 15:18:58 [201022de16daa1dc0c172603d7d3cd57] [reply] 
Je had door de lage celcount ook een andere test moeten gebruiken. Namelijk de Pearsons Chi-Squared test with simulated p-value. En inderdaad ook zoals hierboven reeds vermeld de berekening maken aan de hand van de HI en LO gegevens.

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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	5 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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94334&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]5 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=94334&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94334&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	5 seconds
R Server	'George Udny Yule' @ 72.249.76.132

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=94334&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=94334&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94334&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

Tabulation of Expected Results
Connected x Separate
	A	B	C	D
A	14.67	15.33	12.67	11.33
B	11.68	12.21	10.09	9.02
C	10.05	10.51	8.68	7.77
D	7.6	7.95	6.57	5.88

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Connected  x  Separate \tabularnewline
  & A & B & C & D \tabularnewline
A & 14.67 & 15.33 & 12.67 & 11.33 \tabularnewline
B & 11.68 & 12.21 & 10.09 & 9.02 \tabularnewline
C & 10.05 & 10.51 & 8.68 & 7.77 \tabularnewline
D & 7.6 & 7.95 & 6.57 & 5.88 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94334&T=2

[TABLE]
[ROW][C]Tabulation of Expected 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]14.67[/C][C]15.33[/C][C]12.67[/C][C]11.33[/C][/ROW]
[C]B[/C][C]11.68[/C][C]12.21[/C][C]10.09[/C][C]9.02[/C][/ROW]
[C]C[/C][C]10.05[/C][C]10.51[/C][C]8.68[/C][C]7.77[/C][/ROW]
[C]D[/C][C]7.6[/C][C]7.95[/C][C]6.57[/C][C]5.88[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94334&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94334&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
	A	B	C	D
A	14.67	15.33	12.67	11.33
B	11.68	12.21	10.09	9.02
C	10.05	10.51	8.68	7.77
D	7.6	7.95	6.57	5.88

Statistical Results
Pearson's Chi-squared test
Chi Square Statistic	20.1
Degrees of Freedom	9
P value	0.02

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 20.1 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=94334&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]20.1[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=94334&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=94334&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
Chi Square Statistic	20.1
Degrees of Freedom	9
P value	0.02

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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Figures (Output of Computation)

Input Parameters & R Code