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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 computationWed, 09 Nov 2011 07:12:54 -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/09/t1320840807d86spuw829kn6su.htm/, Retrieved Thu, 28 Mar 2024 09:23:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=141076, Retrieved Thu, 28 Mar 2024 09:23:58 +0000
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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Happiness] [2011-11-09 12:12:54] [972100275af27f610aa6d6cf2b8004c8] [Current]
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Dataseries X:
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'D'	'D'	'A'	'A'	'B'	'A'	'B'	'B'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'D'	'A'	'B'	'C'	'A'	'A'	'HI'	'HI'	'LO'	'HI'	'HI'	'LO'
'A'	'A'	'A'	'A'	'B'	'D'	'B'	'A'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'
'C'	'D'	'C'	'A'	'B'	'C'	'B'	'B'	'LO'	'LO'	'LO'	'HI'	'HI'	'LO'
'D'	'C'	'A'	'A'	'C'	'C'	'A'	'A'	'LO'	'LO'	'HI'	'HI'	'LO'	'LO'
'A'	'C'	'C'	'C'	'A'	'D'	'A'	'A'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'
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'C'	'D'	'C'	'A'	'A'	'A'	'A'	'A'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'
'D'	'D'	'D'	'D'	'D'	'A'	'D'	'D'	'LO'	'LO'	'LO'	'LO'	'LO'	'HI'
'B'	'B'	'C'	'B'	'B'	'A'	'D'	'C'	'HI'	'HI'	'LO'	'HI'	'HI'	'HI'
'D'	'B'	'D'	'C'	'D'	'A'	'D'	'D'	'LO'	'HI'	'LO'	'LO'	'LO'	'HI'
'B'	'B'	'D'	'D'	'B'	'C'	'D'	'D'	'HI'	'HI'	'LO'	'LO'	'HI'	'LO'
'D'	'B'	'D'	'D'	'C'	'B'	'C'	'C'	'LO'	'HI'	'LO'	'LO'	'LO'	'HI'
'C'	'B'	'A'	'D'	'B'	'D'	'D'	'D'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'
'D'	'B'	'C'	'D'	'A'	'A'	'A'	'A'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'
'D'	'B'	'A'	'A'	'B'	'B'	'A'	'A'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'D'	'D'	'A'	'B'	'B'	'B'	'B'	'B'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'A'	'D'	'D'	'D'	'A'	'C'	'A'	'A'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'
'C'	'D'	'A'	'A'	'A'	'B'	'B'	'A'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'B'	'B'	'D'	'A'	'D'	'B'	'D'	'D'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'
'C'	'D'	'A'	'A'	'D'	'C'	'B'	'B'	'LO'	'LO'	'HI'	'HI'	'LO'	'LO'
'B'	'C'	'D'	'D'	'D'	'A'	'B'	'B'	'HI'	'LO'	'LO'	'LO'	'LO'	'HI'
'A'	'A'	'D'	'D'	'A'	'B'	'A'	'A'	'HI'	'HI'	'LO'	'LO'	'HI'	'HI'
'A'	'A'	'C'	'A'	'C'	'A'	'A'	'A'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'
'B'	'A'	'A'	'D'	'A'	'D'	'C'	'C'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'
'B'	'A'	'A'	'D'	'D'	'B'	'C'	'B'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'
'B'	'B'	'C'	'D'	'D'	'A'	'C'	'C'	'HI'	'HI'	'LO'	'LO'	'LO'	'HI'
'C'	'D'	'D'	'D'	'C'	'A'	'A'	'A'	'LO'	'LO'	'LO'	'LO'	'LO'	'HI'
'B'	'C'	'A'	'A'	'C'	'A'	'D'	'D'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'
'C'	'A'	'D'	'D'	'B'	'A'	'C'	'C'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'
'C'	'B'	'C'	'D'	'A'	'C'	'A'	'A'	'LO'	'HI'	'LO'	'LO'	'HI'	'LO'
'B'	'C'	'A'	'B'	'C'	'D'	'A'	'A'	'HI'	'LO'	'HI'	'HI'	'LO'	'LO'
'C'	'B'	'D'	'D'	'D'	'A'	'A'	'A'	'LO'	'HI'	'LO'	'LO'	'LO'	'HI'
'B'	'B'	'D'	'D'	'C'	'A'	'C'	'B'	'HI'	'HI'	'LO'	'LO'	'LO'	'HI'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141076&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141076&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141076&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'Gertrude Mary Cox' @ cox.wessa.net







Tabulation of Results
Happiness x Happiness
HILO
A430
B600
C019
D040

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Happiness  x  Happiness \tabularnewline
  & HI & LO \tabularnewline
A & 43 & 0 \tabularnewline
B & 60 & 0 \tabularnewline
C & 0 & 19 \tabularnewline
D & 0 & 40 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141076&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Happiness  x  Happiness[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]A[/C][C]43[/C][C]0[/C][/ROW]
[C]B[/C][C]60[/C][C]0[/C][/ROW]
[C]C[/C][C]0[/C][C]19[/C][/ROW]
[C]D[/C][C]0[/C][C]40[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141076&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141076&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
Happiness x Happiness
HILO
A430
B600
C019
D040







Tabulation of Expected Results
Happiness x Happiness
HILO
A27.3415.66
B38.1521.85
C12.086.92
D25.4314.57

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Happiness  x  Happiness \tabularnewline
  & HI & LO \tabularnewline
A & 27.34 & 15.66 \tabularnewline
B & 38.15 & 21.85 \tabularnewline
C & 12.08 & 6.92 \tabularnewline
D & 25.43 & 14.57 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141076&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Happiness  x  Happiness[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]A[/C][C]27.34[/C][C]15.66[/C][/ROW]
[C]B[/C][C]38.15[/C][C]21.85[/C][/ROW]
[C]C[/C][C]12.08[/C][C]6.92[/C][/ROW]
[C]D[/C][C]25.43[/C][C]14.57[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141076&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141076&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
Happiness x Happiness
HILO
A27.3415.66
B38.1521.85
C12.086.92
D25.4314.57







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic162
Degrees of Freedom3
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 162 \tabularnewline
Degrees of Freedom & 3 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141076&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]162[/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=141076&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141076&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 Statistic162
Degrees of Freedom3
P value0



Parameters (Session):
par1 = 5 ; par2 = 13 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 5 ; par2 = 13 ; 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')