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Title produced by software

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

Date of computation

Tue, 16 Dec 2014 13:58:31 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/16/t1418738324aqg2n204ko4hxf0.htm/, Retrieved Thu, 16 May 2024 09:22:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269572, Retrieved Thu, 16 May 2024 09:22:46 +0000

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-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-16 12:45:20] [8d160a85bfd9526a7d0e42afc5fb569b]
-    D  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-16 12:56:49] [8d160a85bfd9526a7d0e42afc5fb569b]
-   PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-16 13:52:29] [8d160a85bfd9526a7d0e42afc5fb569b]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-16 13:53:53] [8d160a85bfd9526a7d0e42afc5fb569b]
- R  D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-16 13:54:51] [8d160a85bfd9526a7d0e42afc5fb569b]
-  M D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-16 13:58:31] [1d338d9433eb3ecdb4d9d35f41140a45] [Current]

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

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 Ronald Aylmer Fisher' @ fisher.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 Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269572&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 Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269572&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269572&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 Ronald Aylmer Fisher' @ fisher.wessa.net

Tabulation of Results
code_E x soft_code
	'A'	'B'	'C'	'D'
A	17	26	28	6
B	17	24	19	8
C	15	19	24	13
D	24	9	14	16

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
code_E  x  soft_code \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 17 & 26 & 28 & 6 \tabularnewline
B & 17 & 24 & 19 & 8 \tabularnewline
C & 15 & 19 & 24 & 13 \tabularnewline
D & 24 & 9 & 14 & 16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269572&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]code_E  x  soft_code[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]17[/C][C]26[/C][C]28[/C][C]6[/C][/ROW]
[C]B[/C][C]17[/C][C]24[/C][C]19[/C][C]8[/C][/ROW]
[C]C[/C][C]15[/C][C]19[/C][C]24[/C][C]13[/C][/ROW]
[C]D[/C][C]24[/C][C]9[/C][C]14[/C][C]16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269572&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269572&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
code_E x soft_code
	'A'	'B'	'C'	'D'
A	17	26	28	6
B	17	24	19	8
C	15	19	24	13
D	24	9	14	16

Tabulation of Expected Results
code_E x soft_code
	'A'	'B'	'C'	'D'
A	20.15	21.53	23.46	11.87
B	17.79	19.01	20.72	10.48
C	18.58	19.85	21.63	10.94
D	16.48	17.61	19.19	9.71

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
code_E  x  soft_code \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 20.15 & 21.53 & 23.46 & 11.87 \tabularnewline
B & 17.79 & 19.01 & 20.72 & 10.48 \tabularnewline
C & 18.58 & 19.85 & 21.63 & 10.94 \tabularnewline
D & 16.48 & 17.61 & 19.19 & 9.71 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269572&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]code_E  x  soft_code[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]20.15[/C][C]21.53[/C][C]23.46[/C][C]11.87[/C][/ROW]
[C]B[/C][C]17.79[/C][C]19.01[/C][C]20.72[/C][C]10.48[/C][/ROW]
[C]C[/C][C]18.58[/C][C]19.85[/C][C]21.63[/C][C]10.94[/C][/ROW]
[C]D[/C][C]16.48[/C][C]17.61[/C][C]19.19[/C][C]9.71[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269572&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269572&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
code_E x soft_code
	'A'	'B'	'C'	'D'
A	20.15	21.53	23.46	11.87
B	17.79	19.01	20.72	10.48
C	18.58	19.85	21.63	10.94
D	16.48	17.61	19.19	9.71

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	21.77
P value	0.01

\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 & 21.77 \tabularnewline
P value & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269572&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]21.77[/C][/ROW]
[ROW][C]P value[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269572&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269572&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	21.77
P value	0.01

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code