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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Sun, 14 Dec 2014 11:59:33 +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/2014/Dec/14/t1418558381w7rjsrmnf6cdt6a.htm/, Retrieved Thu, 16 May 2024 10:26:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267475, Retrieved Thu, 16 May 2024 10:26:08 +0000

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Estimated Impact

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

-     [Chi-Squared and McNemar Tests] [] [2010-11-16 14:33:59] [b98453cac15ba1066b407e146608df68]
- RM    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-11-05 13:44:39] [c2c160edf30e228bd3a949bf24376c2c]
-    D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-09 14:14:25] [a6b2572b29932aa41ecec373f1b28823]
-   P       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 11:58:28] [80a885d02035c87be624c190e38c794d]
-   P           [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 11:59:33] [4b67a948f2e7df32913e04ba402e80f8] [Current]
-   P             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 12:00:40] [80a885d02035c87be624c190e38c794d] 
-   P               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 12:01:20] [80a885d02035c87be624c190e38c794d] 
-   P                 [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 12:01:59] [80a885d02035c87be624c190e38c794d] 
-   P                   [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 12:02:41] [80a885d02035c87be624c190e38c794d] 

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Boxplots

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net
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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \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=267475&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/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=267475&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267475&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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net
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
Depressie x Software
	A	B	C	D
A	0	1	4	4
B	1	1	8	5
C	1	2	25	12
D	2	6	34	10

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Depressie
  x  Software \tabularnewline
  & A & B & C & D \tabularnewline
A & 0 & 1 & 4 & 4 \tabularnewline
B & 1 & 1 & 8 & 5 \tabularnewline
C & 1 & 2 & 25 & 12 \tabularnewline
D & 2 & 6 & 34 & 10 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267475&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Depressie
  x  Software[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]0[/C][C]1[/C][C]4[/C][C]4[/C][/ROW]
[C]B[/C][C]1[/C][C]1[/C][C]8[/C][C]5[/C][/ROW]
[C]C[/C][C]1[/C][C]2[/C][C]25[/C][C]12[/C][/ROW]
[C]D[/C][C]2[/C][C]6[/C][C]34[/C][C]10[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267475&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267475&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
Depressie x Software
	A	B	C	D
A	0	1	4	4
B	1	1	8	5
C	1	2	25	12
D	2	6	34	10

Tabulation of Expected Results
Depressie x Software
	A	B	C	D
A	0.31	0.78	5.51	2.41
B	0.52	1.29	9.18	4.01
C	1.38	3.45	24.48	10.69
D	1.79	4.48	31.83	13.9

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Depressie
  x  Software \tabularnewline
  & A & B & C & D \tabularnewline
A & 0.31 & 0.78 & 5.51 & 2.41 \tabularnewline
B & 0.52 & 1.29 & 9.18 & 4.01 \tabularnewline
C & 1.38 & 3.45 & 24.48 & 10.69 \tabularnewline
D & 1.79 & 4.48 & 31.83 & 13.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267475&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Depressie
  x  Software[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]0.31[/C][C]0.78[/C][C]5.51[/C][C]2.41[/C][/ROW]
[C]B[/C][C]0.52[/C][C]1.29[/C][C]9.18[/C][C]4.01[/C][/ROW]
[C]C[/C][C]1.38[/C][C]3.45[/C][C]24.48[/C][C]10.69[/C][/ROW]
[C]D[/C][C]1.79[/C][C]4.48[/C][C]31.83[/C][C]13.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267475&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267475&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
Depressie x Software
	A	B	C	D
A	0.31	0.78	5.51	2.41
B	0.52	1.29	9.18	4.01
C	1.38	3.45	24.48	10.69
D	1.79	4.48	31.83	13.9

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic	5.42
P value	0.81

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 5.42 \tabularnewline
P value & 0.81 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267475&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]5.42[/C][/ROW]
[ROW][C]P value[/C][C]0.81[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267475&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267475&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 simulated p-value (based on 2000 replicates)
Chi Square Statistic	5.42
P value	0.81

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 4 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code