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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

Mon, 15 Dec 2014 11:50:49 +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/15/t1418644589ez4sm1jlbq1ojue.htm/, Retrieved Thu, 16 May 2024 22:14:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268180, Retrieved Thu, 16 May 2024 22:14:34 +0000

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IsPrivate?

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User-defined keywords

Estimated Impact

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] [P chi AMSIBconfstat] [2014-12-15 09:53:08] [46c7ebd23dbdec306a09830d8b7528e7]
-    D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [P chi amsisconsoft] [2014-12-15 11:50:49] [9772ee27deeac3d50cc1fb84835cd7d6] [Current]

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	6 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 & 6 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268180&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]6 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=268180&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268180&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	6 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

Tabulation of Results
AMS.ISS x CONFSOFTTOTSS
	'A'	'C'	'D'
A	9	16	11
B	10	18	7
C	5	18	10
D	7	16	16

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
AMS.ISS  x  CONFSOFTTOTSS \tabularnewline
  & 'A' & 'C' & 'D' \tabularnewline
A & 9 & 16 & 11 \tabularnewline
B & 10 & 18 & 7 \tabularnewline
C & 5 & 18 & 10 \tabularnewline
D & 7 & 16 & 16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268180&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]AMS.ISS  x  CONFSOFTTOTSS[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]9[/C][C]16[/C][C]11[/C][/ROW]
[C]B[/C][C]10[/C][C]18[/C][C]7[/C][/ROW]
[C]C[/C][C]5[/C][C]18[/C][C]10[/C][/ROW]
[C]D[/C][C]7[/C][C]16[/C][C]16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268180&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268180&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
AMS.ISS x CONFSOFTTOTSS
	'A'	'C'	'D'
A	9	16	11
B	10	18	7
C	5	18	10
D	7	16	16

Tabulation of Expected Results
AMS.ISS x CONFSOFTTOTSS
	'A'	'C'	'D'
A	7.8	17.12	11.08
B	7.59	16.64	10.77
C	7.15	15.69	10.15
D	8.45	18.55	12

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
AMS.ISS  x  CONFSOFTTOTSS \tabularnewline
  & 'A' & 'C' & 'D' \tabularnewline
A & 7.8 & 17.12 & 11.08 \tabularnewline
B & 7.59 & 16.64 & 10.77 \tabularnewline
C & 7.15 & 15.69 & 10.15 \tabularnewline
D & 8.45 & 18.55 & 12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268180&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]AMS.ISS  x  CONFSOFTTOTSS[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]7.8[/C][C]17.12[/C][C]11.08[/C][/ROW]
[C]B[/C][C]7.59[/C][C]16.64[/C][C]10.77[/C][/ROW]
[C]C[/C][C]7.15[/C][C]15.69[/C][C]10.15[/C][/ROW]
[C]D[/C][C]8.45[/C][C]18.55[/C][C]12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268180&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268180&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
AMS.ISS x CONFSOFTTOTSS
	'A'	'C'	'D'
A	7.8	17.12	11.08
B	7.59	16.64	10.77
C	7.15	15.69	10.15
D	8.45	18.55	12

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	5.38
Degrees of Freedom	6
P value	0.5

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 5.38 \tabularnewline
Degrees of Freedom & 6 \tabularnewline
P value & 0.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268180&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]5.38[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]6[/C][/ROW]
[ROW][C]P value[/C][C]0.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268180&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268180&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	5.38
Degrees of Freedom	6
P value	0.5

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code