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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 computationSat, 12 Nov 2011 10:10:09 -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/2011/Nov/12/t13211108367nvi8c9hua5vxkp.htm/, Retrieved Tue, 31 Jan 2023 00:18:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=141483, Retrieved Tue, 31 Jan 2023 00:18:36 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75
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] [Happiness/Connected] [2011-11-12 15:10:09] [3208276753335f0b81f0071d45b8bac9] [Current]
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Dataseries X:
'A'	'A'	'D'	'A'	'B'	'B'
'A'	'C'	'A'	'B'	'A'	'C'
'D'	'B'	'A'	'A'	'D'	'A'
'D'	'C'	'C'	'D'	'D'	'B'
'B'	'A'	'C'	'A'	'A'	'A'
'B'	'D'	'D'	'C'	'A'	'B'
'A'	'D'	'A'	'A'	'B'	'A'
'B'	'B'	'C'	'A'	'B'	'C'
'B'	'B'	'C'	'A'	'B'	'D'
'A'	'A'	'C'	'D'	'B'	'B'
'A'	'D'	'A'	'C'	'A'	'D'
'B'	'B'	'A'	'A'	'A'	'D'
'A'	'B'	'A'	'A'	'D'	'A'
'A'	'A'	'A'	'B'	'A'	'A'
'C'	'A'	'A'	'A'	'A'	'D'
'C'	'C'	'C'	'A'	'B'	'A'
'B'	'C'	'C'	'C'	'B'	'A'
'A'	'A'	'A'	'A'	'A'	'C'
'A'	'A'	'A'	'B'	'B'	'D'
'C'	'C'	'A'	'A'	'A'	'B'
'C'	'C'	'A'	'B'	'A'	'D'
'D'	'D'	'A'	'A'	'D'	'A'
'A'	'A'	'A'	'A'	'B'	'B'
'A'	'A'	'A'	'B'	'D'	'A'
'A'	'C'	'A'	'D'	'A'	'C'
'A'	'C'	'A'	'A'	'D'	'D'
'B'	'B'	'A'	'C'	'A'	'C'
'C'	'A'	'C'	'A'	'B'	'A'
'C'	'C'	'A'	'A'	'B'	'A'
'B'	'C'	'C'	'C'	'D'	'B'
'D'	'D'	'C'	'A'	'A'	'D'
'D'	'C'	'D'	'D'	'C'	'A'
'A'	'D'	'C'	'C'	'A'	'D'
'B'	'A'	'A'	'A'	'B'	'C'
'B'	'D'	'C'	'A'	'B'	'B'
'C'	'C'	'D'	'D'	'A'	'D'
'D'	'D'	'D'	'D'	'D'	'A'
'B'	'C'	'C'	'A'	'B'	'B'
'D'	'D'	'A'	'C'	'A'	'D'
'B'	'C'	'A'	'C'	'C'	'D'
'A'	'C'	'A'	'C'	'B'	'D'
'B'	'C'	'C'	'A'	'A'	'A'
'A'	'C'	'A'	'A'	'A'	'D'
'B'	'C'	'C'	'C'	'D'	'A'
'A'	'D'	'C'	'C'	'D'	'C'
'A'	'B'	'D'	'A'	'D'	'B'
'A'	'A'	'C'	'A'	'B'	'D'
'C'	'B'	'C'	'B'	'B'	'C'
'B'	'A'	'A'	'B'	'A'	'A'
'A'	'C'	'C'	'A'	'C'	'C'
'C'	'A'	'A'	'A'	'A'	'D'
'C'	'D'	'C'	'C'	'B'	'A'
'C'	'C'	'D'	'A'	'D'	'A'
'B'	'A'	'A'	'A'	'D'	'A'
'C'	'C'	'D'	'D'	'D'	'C'
'A'	'C'	'C'	'D'	'B'	'B'
'A'	'B'	'A'	'A'	'A'	'B'
'D'	'B'	'A'	'A'	'B'	'D'
'A'	'B'	'C'	'B'	'D'	'D'
'B'	'B'	'A'	'C'	'D'	'A'
'D'	'D'	'D'	'D'	'D'	'A'
'A'	'B'	'A'	'A'	'C'	'B'
'B'	'B'	'A'	'A'	'D'	'B'
'D'	'B'	'C'	'B'	'B'	'A'
'B'	'D'	'A'	'A'	'B'	'B'
'B'	'A'	'A'	'A'	'D'	'C'
'B'	'B'	'A'	'A'	'D'	'A'
'D'	'D'	'A'	'B'	'D'	'B'
'A'	'A'	'D'	'A'	'B'	'B'
'B'	'A'	'A'	'A'	'B'	'A'
'A'	'B'	'D'	'D'	'B'	'B'
'D'	'A'	'C'	'B'	'A'	'A'
'B'	'A'	'A'	'A'	'B'	'B'
'A'	'A'	'A'	'A'	'B'	'D'
'B'	'D'	'A'	'A'	'C'	'C'
'A'	'D'	'A'	'D'	'D'	'A'
'A'	'A'	'A'	'A'	'A'	'B'
'B'	'D'	'A'	'B'	'C'	'A'
'D'	'D'	'D'	'A'	'B'	'B'
'A'	'D'	'A'	'A'	'C'	'D'
'C'	'B'	'A'	'A'	'B'	'C'
'A'	'A'	'A'	'A'	'A'	'D'
'B'	'A'	'A'	'A'	'B'	'D'
'A'	'C'	'C'	'A'	'A'	'B'
'C'	'B'	'C'	'B'	'B'	'B'
'C'	'D'	'A'	'C'	'B'	'B'
'A'	'A'	'C'	'D'	'B'	'B'
'C'	'B'	'A'	'A'	'B'	'B'
'D'	'C'	'A'	'A'	'C'	'A'
'C'	'C'	'C'	'A'	'D'	'A'
'D'	'B'	'D'	'D'	'A'	'B'
'B'	'C'	'A'	'A'	'C'	'A'
'B'	'A'	'A'	'A'	'B'	'B'
'C'	'D'	'C'	'A'	'B'	'A'
'D'	'D'	'D'	'A'	'C'	'D'
'A'	'B'	'A'	'C'	'A'	'C'
'A'	'B'	'A'	'A'	'D'	'A'
'B'	'D'	'A'	'D'	'B'	'C'
'A'	'B'	'A'	'A'	'A'	'C'
'C'	'B'	'C'	'C'	'B'	'D'
'A'	'B'	'A'	'A'	'A'	'D'
'A'	'B'	'A'	'B'	'D'	'A'
'B'	'A'	'A'	'A'	'A'	'B'
'C'	'D'	'C'	'B'	'D'	'C'
'C'	'A'	'A'	'B'	'B'	'A'
'A'	'C'	'D'	'A'	'D'	'A'
'A'	'B'	'A'	'A'	'A'	'C'
'A'	'A'	'A'	'A'	'B'	'A'
'B'	'B'	'A'	'B'	'D'	'A'
'A'	'A'	'D'	'D'	'D'	'A'
'D'	'B'	'A'	'A'	'B'	'A'
'D'	'C'	'A'	'A'	'D'	'A'
'C'	'A'	'A'	'B'	'C'	'C'
'C'	'C'	'D'	'B'	'B'	'A'
'A'	'B'	'D'	'C'	'A'	'B'
'A'	'C'	'A'	'A'	'A'	'D'
'C'	'A'	'C'	'A'	'B'	'A'
'B'	'A'	'C'	'D'	'B'	'B'
'C'	'B'	'D'	'B'	'B'	'D'
'A'	'B'	'A'	'A'	'B'	'A'
'C'	'A'	'D'	'B'	'D'	'A'
'D'	'D'	'A'	'A'	'B'	'A'
'A'	'A'	'D'	'A'	'B'	'C'
'A'	'A'	'A'	'A'	'B'	'D'
'C'	'D'	'C'	'A'	'B'	'C'
'D'	'C'	'A'	'A'	'C'	'C'
'A'	'C'	'C'	'C'	'A'	'D'
'A'	'A'	'A'	'B'	'A'	'D'
'C'	'B'	'C'	'D'	'A'	'C'
'B'	'C'	'D'	'B'	'B'	'B'
'C'	'C'	'A'	'C'	'C'	'C'
'D'	'C'	'D'	'B'	'D'	'A'
'A'	'A'	'A'	'D'	'B'	'D'
'D'	'D'	'D'	'B'	'B'	'A'
'A'	'A'	'C'	'A'	'B'	'B'
'C'	'D'	'C'	'A'	'A'	'A'
'D'	'D'	'D'	'D'	'D'	'A'
'B'	'B'	'C'	'B'	'B'	'A'
'D'	'B'	'D'	'C'	'D'	'A'
'B'	'B'	'D'	'D'	'B'	'C'
'D'	'B'	'D'	'D'	'C'	'B'
'C'	'B'	'A'	'D'	'B'	'D'
'D'	'B'	'C'	'D'	'A'	'A'
'D'	'B'	'A'	'A'	'B'	'B'
'D'	'D'	'A'	'B'	'B'	'B'
'A'	'D'	'D'	'D'	'A'	'C'
'C'	'D'	'A'	'A'	'A'	'B'
'B'	'B'	'D'	'A'	'D'	'B'
'C'	'D'	'A'	'A'	'D'	'C'
'B'	'C'	'D'	'D'	'D'	'A'
'A'	'A'	'D'	'D'	'A'	'B'
'A'	'A'	'C'	'A'	'C'	'A'
'B'	'A'	'A'	'D'	'A'	'D'
'B'	'A'	'A'	'D'	'D'	'B'
'B'	'B'	'C'	'D'	'D'	'A'
'C'	'D'	'D'	'D'	'C'	'A'
'B'	'C'	'A'	'A'	'C'	'A'
'C'	'A'	'D'	'D'	'B'	'A'
'C'	'B'	'C'	'D'	'A'	'C'
'B'	'C'	'A'	'B'	'C'	'D'
'C'	'B'	'D'	'D'	'D'	'A'
'B'	'B'	'D'	'D'	'C'	'A'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141483&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141483&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141483&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Tabulation of Results
Software x Connected
ABCD
A30221612
B7696
C7742
D10888

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Software  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
A & 30 & 22 & 16 & 12 \tabularnewline
B & 7 & 6 & 9 & 6 \tabularnewline
C & 7 & 7 & 4 & 2 \tabularnewline
D & 10 & 8 & 8 & 8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141483&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Software  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]30[/C][C]22[/C][C]16[/C][C]12[/C][/ROW]
[C]B[/C][C]7[/C][C]6[/C][C]9[/C][C]6[/C][/ROW]
[C]C[/C][C]7[/C][C]7[/C][C]4[/C][C]2[/C][/ROW]
[C]D[/C][C]10[/C][C]8[/C][C]8[/C][C]8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141483&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141483&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
Software x Connected
ABCD
A30221612
B7696
C7742
D10888







Tabulation of Expected Results
Software x Connected
ABCD
A26.6721.2318.2713.83
B9.337.436.44.84
C6.675.314.573.46
D11.339.027.775.88

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Software  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
A & 26.67 & 21.23 & 18.27 & 13.83 \tabularnewline
B & 9.33 & 7.43 & 6.4 & 4.84 \tabularnewline
C & 6.67 & 5.31 & 4.57 & 3.46 \tabularnewline
D & 11.33 & 9.02 & 7.77 & 5.88 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141483&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Software  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]26.67[/C][C]21.23[/C][C]18.27[/C][C]13.83[/C][/ROW]
[C]B[/C][C]9.33[/C][C]7.43[/C][C]6.4[/C][C]4.84[/C][/ROW]
[C]C[/C][C]6.67[/C][C]5.31[/C][C]4.57[/C][C]3.46[/C][/ROW]
[C]D[/C][C]11.33[/C][C]9.02[/C][C]7.77[/C][C]5.88[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141483&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141483&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
Software x Connected
ABCD
A26.6721.2318.2713.83
B9.337.436.44.84
C6.675.314.573.46
D11.339.027.775.88







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic5.45
Degrees of Freedom9
P value0.79

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 5.45 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.79 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141483&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]5.45[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.79[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141483&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141483&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 Statistic5.45
Degrees of Freedom9
P value0.79



Parameters (Session):
par1 = 4 ; par2 = 1 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 4 ; par2 = 1 ; 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')