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Author

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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

Mon, 15 Dec 2014 12:44:21 +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/15/t14186474715pu726divuhz2qe.htm/, Retrieved Fri, 01 Nov 2024 01:03:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268269, Retrieved Fri, 01 Nov 2024 01:03:39 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

107

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 11:30:11] [9b99fe494671b75fb711c2dc543f4e3e]
- R PD      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 12:44:21] [bcb5b2244e18c223160d6809eb45aeed] [Current]

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'B' "'C'" "'C'"
'A' "'A'" "'D'"
'B' "'B'" "'B'"
'C' "'D'" "'A'"
'B' "'B'" "'A'"
'B' "'A'" "'A'"
'C' "'A'" "'D'"
'B' "'A'" "'A'"
'D' "'D'" "'A'"
'D' "'C'" "'A'"
'C' "'C'" "'C'"
'C' "'A'" "'B'"
'A' "'A'" "'A'"
'D' "'D'" "'B'"
'A' "'A'" "'D'"
'C' "'C'" "'D'"
'C' "'D'" "'A'"
'C' "'B'" "'C'"
'B' "'A'" "'B'"
'B' "'C'" "'A'"
'D' "'D'" "'A'"
'C' "'D'" "'D'"
'D' "'B'" "'D'"
'A' "'C'" "'D'"
'C' "'A'" "'D'"
'B' "'B'" "'A'"
'B' "'A'" "'C'"
'C' "'C'" "'C'"
'C' "'C'" "'A'"
'D' "'D'" "'A'"
'B' "'A'" "'A'"
'C' "'B'" "'D'"
'C' "'C'" "'B'"
'C' "'D'" "'D'"
'C' "'C'" "'B'"
'A' "'A'" "'B'"
'A' "'A'" "'B'"
'D' "'D'" "'A'"
'B' "'B'" "'C'"
'A' "'A'" "'C'"
'B' "'C'" "'A'"
'A' "'A'" "'B'"
'C' "'A'" "'B'"
'C' "'C'" "'C'"
'C' "'B'" "'C'"
'A' "'A'" "'C'"
'C' "'C'" "'D'"
'C' "'C'" "'B'"
'A' "'A'" "'B'"
'B' "'A'" "'D'"
'B' "'B'" "'C'"
'B' "'A'" "'C'"
'C' "'C'" "'B'"
'D' "'D'" "'C'"
'D' "'D'" "'A'"
'B' "'C'" "'A'"
'C' "'A'" "'D'"
'B' "'D'" "'D'"
'A' "'A'" "'C'"
'C' "'C'" "'A'"
'C' "'B'" "'D'"
'A' "'A'" "'B'"
'A' "'A'" "'D'"
'C' "'C'" "'A'"
'A' "'A'" "'C'"
'A' "'C'" "'B'"
'B' "'C'" "'D'"
'B' "'A'" "'D'"
'B' "'A'" "'D'"
'C' "'C'" "'A'"
'D' "'C'" "'C'"
'B' "'C'" "'A'"
'A' "'A'" "'D'"
'A' "'A'" "'A'"
'A' "'A'" "'D'"
'B' "'A'" "'A'"
'C' "'A'" "'D'"
'A' "'C'" "'C'"
'C' "'B'" "'A'"
'B' "'A'" "'B'"
'C' "'C'" "'A'"
'B' "'B'" "'B'"
'B' "'A'" "'A'"
'C' "'C'" "'A'"
'B' "'A'" "'C'"
'C' "'A'" "'C'"
'C' "'B'" "'A'"
'C' "'C'" "'A'"
'A' "'A'" "'C'"
'A' "'B'" "'A'"
'A' "'C'" "'C'"
'A' "'A'" "'A'"
'A' "'A'" "'D'"
'D' "'D'" "'C'"
'B' "'A'" "'C'"
'B' "'B'" "'A'"
'C' "'C'" "'B'"
'C' "'C'" "'B'"
'A' "'C'" "'C'"
'A' "'B'" "'B'"
'A' "'A'" "'C'"
'C' "'B'" "'A'"
'C' "'C'" "'A'"
'A' "'C'" "'B'"
'D' "'D'" "'B'"
'A' "'A'" "'C'"
'C' "'A'" "'D'"
'A' "'A'" "'C'"
'B' "'A'" "'C'"
'A' "'A'" "'C'"
'A' "'A'" "'A'"
'C' "'C'" "'C'"
'A' "'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	'Sir Maurice George Kendall' @ kendall.wessa.net

\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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268269&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268269&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268269&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Tabulation of Results
ConfSoft x Depression
	'A'	'B'	'C'	'D'
'A'	9	9	15	14
'B'	7	3	5	3
'C'	13	8	9	4
'D'	7	2	2	3

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
ConfSoft  x  Depression \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
'A' & 9 & 9 & 15 & 14 \tabularnewline
'B' & 7 & 3 & 5 & 3 \tabularnewline
'C' & 13 & 8 & 9 & 4 \tabularnewline
'D' & 7 & 2 & 2 & 3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268269&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]ConfSoft  x  Depression[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]'A'[/C][C]9[/C][C]9[/C][C]15[/C][C]14[/C][/ROW]
[C]'B'[/C][C]7[/C][C]3[/C][C]5[/C][C]3[/C][/ROW]
[C]'C'[/C][C]13[/C][C]8[/C][C]9[/C][C]4[/C][/ROW]
[C]'D'[/C][C]7[/C][C]2[/C][C]2[/C][C]3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268269&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268269&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
ConfSoft x Depression
	'A'	'B'	'C'	'D'
'A'	9	9	15	14
'B'	7	3	5	3
'C'	13	8	9	4
'D'	7	2	2	3

Tabulation of Expected Results
ConfSoft x Depression
	'A'	'B'	'C'	'D'
'A'	14.97	9.15	12.89	9.98
'B'	5.73	3.5	4.94	3.82
'C'	10.83	6.62	9.33	7.22
'D'	4.46	2.73	3.84	2.97

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
ConfSoft  x  Depression \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
'A' & 14.97 & 9.15 & 12.89 & 9.98 \tabularnewline
'B' & 5.73 & 3.5 & 4.94 & 3.82 \tabularnewline
'C' & 10.83 & 6.62 & 9.33 & 7.22 \tabularnewline
'D' & 4.46 & 2.73 & 3.84 & 2.97 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268269&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]ConfSoft  x  Depression[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]'A'[/C][C]14.97[/C][C]9.15[/C][C]12.89[/C][C]9.98[/C][/ROW]
[C]'B'[/C][C]5.73[/C][C]3.5[/C][C]4.94[/C][C]3.82[/C][/ROW]
[C]'C'[/C][C]10.83[/C][C]6.62[/C][C]9.33[/C][C]7.22[/C][/ROW]
[C]'D'[/C][C]4.46[/C][C]2.73[/C][C]3.84[/C][C]2.97[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268269&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268269&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
ConfSoft x Depression
	'A'	'B'	'C'	'D'
'A'	14.97	9.15	12.89	9.98
'B'	5.73	3.5	4.94	3.82
'C'	10.83	6.62	9.33	7.22
'D'	4.46	2.73	3.84	2.97

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	9.57
P value	0.39

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Exact Pearson Chi Square Statistic & 9.57 \tabularnewline
P value & 0.39 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268269&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]Exact Pearson Chi Square Statistic[/C][C]9.57[/C][/ROW]
[ROW][C]P value[/C][C]0.39[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268269&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268269&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)
Exact Pearson Chi Square Statistic	9.57
P value	0.39

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 2 ; par2 = 3 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 2 ; par2 = 3 ; 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=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
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)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
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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Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code