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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

Wed, 17 Dec 2014 21:00:45 +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/17/t1418850134890oj1n8jdq8t7h.htm/, Retrieved Thu, 16 May 2024 23:52:50 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270685, Retrieved Thu, 16 May 2024 23:52:50 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [CK CONFSTAT-CONFSOFT] [2014-12-17 21:00:45] [64070895b9a6ba473199a431c837c7d3] [Current]

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Dataseries X:

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Histogram

Boxplots

"D"	"B"
"D"	"D"
"C"	"C"
"B"	"A"
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"D"	"C"
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"C"	"C"
"D"	"C"
"B"	"B"
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"B"	"C"
"D"	"D"
"B"	"C"
"B"	"A"
"C"	"D"
"C"	"D"
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"D"	"A"
"C"	"B"
"A"	"A"
"D"	"D"
"D"	"D"
"D"	"D"
"A"	"B"
"A"	"C"
"C"	"D"
"D"	"B"
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"C"	"C"
"A"	"A"
"B"	"D"
"C"	"B"
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"A"	"A"
"B"	"C"
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"A"	"A"
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"A"	"A"
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"B"	"B"
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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=270685&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=270685&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270685&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
CONFSTAT x CONFSOFT
	A	B	C	D
A	24	7	6	1
B	12	37	21	8
C	2	31	29	20
D	5	10	22	44

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
CONFSTAT  x  CONFSOFT \tabularnewline
  & A & B & C & D \tabularnewline
A & 24 & 7 & 6 & 1 \tabularnewline
B & 12 & 37 & 21 & 8 \tabularnewline
C & 2 & 31 & 29 & 20 \tabularnewline
D & 5 & 10 & 22 & 44 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270685&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]CONFSTAT  x  CONFSOFT[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]24[/C][C]7[/C][C]6[/C][C]1[/C][/ROW]
[C]B[/C][C]12[/C][C]37[/C][C]21[/C][C]8[/C][/ROW]
[C]C[/C][C]2[/C][C]31[/C][C]29[/C][C]20[/C][/ROW]
[C]D[/C][C]5[/C][C]10[/C][C]22[/C][C]44[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270685&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270685&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
CONFSTAT x CONFSOFT
	A	B	C	D
A	24	7	6	1
B	12	37	21	8
C	2	31	29	20
D	5	10	22	44

Tabulation of Expected Results
CONFSTAT x CONFSOFT
	A	B	C	D
A	5.86	11.58	10.62	9.94
B	12.02	23.76	21.81	20.41
C	12.64	24.98	22.92	21.46
D	12.48	24.68	22.65	21.19

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
CONFSTAT  x  CONFSOFT \tabularnewline
  & A & B & C & D \tabularnewline
A & 5.86 & 11.58 & 10.62 & 9.94 \tabularnewline
B & 12.02 & 23.76 & 21.81 & 20.41 \tabularnewline
C & 12.64 & 24.98 & 22.92 & 21.46 \tabularnewline
D & 12.48 & 24.68 & 22.65 & 21.19 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270685&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]CONFSTAT  x  CONFSOFT[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]5.86[/C][C]11.58[/C][C]10.62[/C][C]9.94[/C][/ROW]
[C]B[/C][C]12.02[/C][C]23.76[/C][C]21.81[/C][C]20.41[/C][/ROW]
[C]C[/C][C]12.64[/C][C]24.98[/C][C]22.92[/C][C]21.46[/C][/ROW]
[C]D[/C][C]12.48[/C][C]24.68[/C][C]22.65[/C][C]21.19[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270685&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270685&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
CONFSTAT x CONFSOFT
	A	B	C	D
A	5.86	11.58	10.62	9.94
B	12.02	23.76	21.81	20.41
C	12.64	24.98	22.92	21.46
D	12.48	24.68	22.65	21.19

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	132.91
Degrees of Freedom	9
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 132.91 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270685&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]132.91[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270685&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270685&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 Statistic	132.91
Degrees of Freedom	9
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; 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')

Free Statistics

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code