Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationThu, 20 Dec 2012 14:58:57 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/20/t1356033565qpw6904i4fa4e17.htm/, Retrieved Fri, 29 Mar 2024 12:20:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=203074, Retrieved Fri, 29 Mar 2024 12:20:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Paper2012 Chi-kwa...] [2012-12-20 19:36:04] [617a576b3e2f0c57f6da5ea5fef54049]
- R P     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Paper2012 Chi-kwa...] [2012-12-20 19:58:57] [e361f175449a8f238efec42917fef500] [Current]
Feedback Forum

Post a new message
Dataseries X:
4	'Yes'	1	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'Yes'	2	'NoStats'	'No'	'Yes'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	1	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'Yes'	2	'NoStats'	'No'	'No'	'Bad'
4	'Yes'	1	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'UsedStats'	'No'	'Yes'	'Bad'
4	'Yes'	1	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'UsedStats'	'No'	'Yes'	'Good'
4	'No'	1	'UsedStats'	'No'	'Yes'	'Good'
4	'Yes'	1	'UsedStats'	'Yes'	'Yes'	'Bad'
4	'Yes'	1	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	1	'UsedStats'	'Yes'	'Yes'	'Good'
4	'Yes'	2	'NoStats'	'No'	'Yes'	'Bad'
4	'Yes'	2	'UsedStats'	'No'	'Yes'	'Good'
4	'No'	2	'NoStats'	'No'	'Yes'	'Good'
4	'Yes'	2	'NoStats'	'No'	'Yes'	'Good'
4	'No'	1	'UsedStats'	'No'	'No'	'Good'
4	'No'	2	'UsedStats'	'No'	'Yes'	'Bad'
4	'Yes'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'UsedStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'NoStats'	'No'	'Yes'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'Yes'	2	'NoStats'	'No'	'No'	'Bad'
4	'Yes'	2	'NoStats'	'No'	'Yes'	'Bad'
4	'No'	1	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'Yes'	1	'UsedStats'	'No'	'Yes'	'Bad'
4	'No'	2	'UsedStats'	'No'	'No'	'Good'
4	'No'	2	'NoStats'	'No'	'Yes'	'Good'
4	'No'	1	'NoStats'	'No'	'Yes'	'Bad'
4	'No'	2	'UsedStats'	'Yes'	'Yes'	'Good'
4	'No'	2	'UsedStats'	'No'	'No'	'Good'
4	'Yes'	2	'NoStats'	'No'	'Yes'	'Good'
4	'Yes'	1	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'Yes'	'Bad'
4	'No'	2	'NoStats'	'No'	'Yes'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'NoStats'	'No'	'Yes'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	1	'UsedStats'	'No'	'No'	'Bad'
4	'Yes'	1	'UsedStats'	'Yes'	'Yes'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'UsedStats'	'Yes'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	1	'UsedStats'	'No'	'No'	'Good'
4	'No'	2	'UsedStats'	'No'	'Yes'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'Yes'	1	'UsedStats'	'Yes'	'Yes'	'Good'
4	'Yes'	1	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'UsedStats'	'No'	'Yes'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'Yes'	1	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	1	'UsedStats'	'Yes'	'Yes'	'Bad'
4	'Yes'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'UsedStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'UsedStats'	'No'	'No'	'Good'
4	'Yes'	2	'UsedStats'	'No'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	1	'NoStats'	'No'	'Yes'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Good'
4	'No'	2	'UsedStats'	'No'	'Yes'	'Good'
4	'No'	1	'UsedStats'	'Yes'	'No'	'Good'
4	'No'	1	'NoStats'	'No'	'Yes'	'Bad'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'Yes'	2	'UsedStats'	'No'	'No'	'Good'
4	'No'	2	'NoStats'	'No'	'No'	'Bad'
4	'No'	2	'UsedStats'	'Yes'	'No'	'Bad'
4	'No'	2	'NoStats'	'No'	'Yes'	'Good'
4	'Yes'	2	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	4	'NoStats'	'No'	'No'	'Good'
2	'Yes'	3	'UsedStats'	'No'	'No'	'Good'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Good'
2	'No'	4	'NoStats'	'No'	'Yes'	'Bad'
2	'Yes'	3	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	4	'NoStats'	'No'	'Yes'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	3	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Good'
2	'Yes'	3	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Good'
2	'Yes'	4	'NoStats'	'No'	'No'	'Good'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	3	'UsedStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	3	'UsedStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	4	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	3	'UsedStats'	'No'	'Yes'	'Bad'
2	'No'	3	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'UsedStats'	'No'	'No'	'Bad'
2	'Yes'	3	'UsedStats'	'No'	'No'	'Bad'
2	'Yes'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	4	'NoStats'	'No'	'No'	'Good'
2	'Yes'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Good'
2	'Yes'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	3	'UsedStats'	'No'	'No'	'Bad'
2	'No'	4	'UsedStats'	'No'	'Yes'	'Good'
2	'No'	4	'NoStats'	'No'	'No'	'Good'
2	'No'	3	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'Yes'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Good'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Good'
2	'Yes'	4	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	4	'NoStats'	'No'	'No'	'Good'
2	'Yes'	4	'UsedStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	4	'UsedStats'	'No'	'Yes'	'Good'
2	'Yes'	3	'UsedStats'	'No'	'Yes'	'Good'
2	'No'	3	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'UsedStats'	'Yes'	'No'	'Good'
2	'No'	3	'UsedStats'	'No'	'No'	'Good'
2	'Yes'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'Yes'	'Good'
2	'No'	4	'NoStats'	'No'	'Yes'	'Bad'
2	'No'	3	'NoStats'	'No'	'No'	'Good'
2	'No'	3	'UsedStats'	'No'	'No'	'Bad'
2	'No'	3	'NoStats'	'No'	'No'	'Bad'
2	'Yes'	4	'NoStats'	'No'	'No'	'Bad'
2	'No'	4	'NoStats'	'No'	'Yes'	'Good'
2	'No'	4	'NoStats'	'No'	'No'	'Good'
2	'Yes'	4	'UsedStats'	'Yes'	'No'	'Bad'
2	'Yes'	4	'UsedStats'	'Yes'	'Yes'	'Bad'
2	'Yes'	4	'UsedStats'	'No'	'No'	'Bad'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203074&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]3 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=203074&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203074&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Tabulation of Results
T x Used
NoStatsUsedStats
11211
24617
389
4438

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
T  x  Used \tabularnewline
  & NoStats & UsedStats \tabularnewline
1 & 12 & 11 \tabularnewline
2 & 46 & 17 \tabularnewline
3 & 8 & 9 \tabularnewline
4 & 43 & 8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203074&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]T  x  Used[/C][/ROW]
[ROW][C] [/C][C]NoStats[/C][C]UsedStats[/C][/ROW]
[C]1[/C][C]12[/C][C]11[/C][/ROW]
[C]2[/C][C]46[/C][C]17[/C][/ROW]
[C]3[/C][C]8[/C][C]9[/C][/ROW]
[C]4[/C][C]43[/C][C]8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203074&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203074&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
T x Used
NoStatsUsedStats
11211
24617
389
4438







Tabulation of Expected Results
T x Used
NoStatsUsedStats
116.286.72
244.5918.41
312.034.97
436.114.9

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
T  x  Used \tabularnewline
  & NoStats & UsedStats \tabularnewline
1 & 16.28 & 6.72 \tabularnewline
2 & 44.59 & 18.41 \tabularnewline
3 & 12.03 & 4.97 \tabularnewline
4 & 36.1 & 14.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203074&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]T  x  Used[/C][/ROW]
[ROW][C] [/C][C]NoStats[/C][C]UsedStats[/C][/ROW]
[C]1[/C][C]16.28[/C][C]6.72[/C][/ROW]
[C]2[/C][C]44.59[/C][C]18.41[/C][/ROW]
[C]3[/C][C]12.03[/C][C]4.97[/C][/ROW]
[C]4[/C][C]36.1[/C][C]14.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203074&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203074&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
T x Used
NoStatsUsedStats
116.286.72
244.5918.41
312.034.97
436.114.9







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic13.14
Degrees of Freedom3
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 13.14 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=203074&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]13.14[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]3[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=203074&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=203074&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
Pearson Chi Square Statistic13.14
Degrees of Freedom3
P value0



Parameters (Session):
par1 = 3 ; par2 = 4 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 3 ; par2 = 4 ; 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=='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')