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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

Tue, 09 Dec 2014 19:24:08 +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/09/t1418153203q40hqx8az00cylu.htm/, Retrieved Thu, 16 May 2024 14:30:21 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264829, Retrieved Thu, 16 May 2024 14:30:21 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [paper chi² CH-TO...] [2014-12-09 19:24:08] [0026b73e132800f62819443873ccc691] [Current]

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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	'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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264829&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264829&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264829&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Tabulation of Results
CH_CAT x TOT_CAT_STRICT
	A	B	C	D
'A'	33	18	13	8
'B'	15	18	11	19
'C'	15	16	22	25
'D'	8	19	24	22

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
CH_CAT  x  TOT_CAT_STRICT \tabularnewline
  & A & B & C & D \tabularnewline
'A' & 33 & 18 & 13 & 8 \tabularnewline
'B' & 15 & 18 & 11 & 19 \tabularnewline
'C' & 15 & 16 & 22 & 25 \tabularnewline
'D' & 8 & 19 & 24 & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264829&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]CH_CAT  x  TOT_CAT_STRICT[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]'A'[/C][C]33[/C][C]18[/C][C]13[/C][C]8[/C][/ROW]
[C]'B'[/C][C]15[/C][C]18[/C][C]11[/C][C]19[/C][/ROW]
[C]'C'[/C][C]15[/C][C]16[/C][C]22[/C][C]25[/C][/ROW]
[C]'D'[/C][C]8[/C][C]19[/C][C]24[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264829&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264829&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
CH_CAT x TOT_CAT_STRICT
	A	B	C	D
'A'	33	18	13	8
'B'	15	18	11	19
'C'	15	16	22	25
'D'	8	19	24	22

Tabulation of Expected Results
CH_CAT x TOT_CAT_STRICT
	A	B	C	D
'A'	17.87	17.87	17.62	18.63
'B'	15.64	15.64	15.42	16.3
'C'	19.36	19.36	19.09	20.18
'D'	18.12	18.12	17.87	18.89

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
CH_CAT  x  TOT_CAT_STRICT \tabularnewline
  & A & B & C & D \tabularnewline
'A' & 17.87 & 17.87 & 17.62 & 18.63 \tabularnewline
'B' & 15.64 & 15.64 & 15.42 & 16.3 \tabularnewline
'C' & 19.36 & 19.36 & 19.09 & 20.18 \tabularnewline
'D' & 18.12 & 18.12 & 17.87 & 18.89 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264829&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]CH_CAT  x  TOT_CAT_STRICT[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]'A'[/C][C]17.87[/C][C]17.87[/C][C]17.62[/C][C]18.63[/C][/ROW]
[C]'B'[/C][C]15.64[/C][C]15.64[/C][C]15.42[/C][C]16.3[/C][/ROW]
[C]'C'[/C][C]19.36[/C][C]19.36[/C][C]19.09[/C][C]20.18[/C][/ROW]
[C]'D'[/C][C]18.12[/C][C]18.12[/C][C]17.87[/C][C]18.89[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264829&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264829&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
CH_CAT x TOT_CAT_STRICT
	A	B	C	D
'A'	17.87	17.87	17.62	18.63
'B'	15.64	15.64	15.42	16.3
'C'	19.36	19.36	19.09	20.18
'D'	18.12	18.12	17.87	18.89

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	33.65
Degrees of Freedom	9
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 33.65 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264829&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]33.65[/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=264829&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264829&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	33.65
Degrees of Freedom	9
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

Parameters (R input):

par1 = 2 ; 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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code