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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

Sat, 10 Nov 2018 12:15:24 +0100

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/2018/Nov/10/t1541848537unrld8ihlus5ra4.htm/, Retrieved Fri, 03 May 2024 17:19:11 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315630, Retrieved Fri, 03 May 2024 17:19:11 +0000

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User-defined keywords

Estimated Impact

108

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] [samengenomen ] [2018-11-10 11:15:24] [faeb7b06c531293c72cd094586d8c91e] [Current]

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'A' "'B'" "'HI'" "'HI'"
'B' "'A'" "'HI'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'D' "'D'" "'LO'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'C' "'A'" "'HI'" "'LO'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'D' "'B'" "'HI'" "'LO'"
'C' "'A'" "'HI'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'B' "'A'" "'HI'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'C' "'B'" "'HI'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'B' "'B'" "'HI'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'B' "'A'" "'HI'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'B' "'D'" "'LO'" "'HI'"
'D' "'A'" "'HI'" "'LO'"
'A' "'D'" "'LO'" "'HI'"
'C' "'A'" "'HI'" "'LO'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'C' "'D'" "'LO'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'D' "'C'" "'LO'" "'LO'"
'C' "'A'" "'HI'" "'LO'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'D' "'A'" "'HI'" "'LO'"
'D' "'D'" "'LO'" "'LO'"
'A' "'B'" "'HI'" "'HI'"
'C' "'A'" "'HI'" "'LO'"
'C' "'C'" "'LO'" "'LO'"
'C' "'B'" "'HI'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'C' "'D'" "'LO'" "'LO'"
'C' "'D'" "'LO'" "'LO'"
'A' "'D'" "'LO'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'B' "'B'" "'HI'" "'HI'"
'B' "'A'" "'HI'" "'HI'"
'A' "'C'" "'LO'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'C' "'B'" "'HI'" "'LO'"
'A' "'D'" "'LO'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'D' "'D'" "'LO'" "'LO'"
'D' "'B'" "'HI'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'B' "'D'" "'LO'" "'HI'"
'C' "'D'" "'LO'" "'LO'"
'D' "'D'" "'LO'" "'LO'"
'A' "'C'" "'LO'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'B' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'B' "'D'" "'LO'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'D' "'B'" "'HI'" "'LO'"
'B' "'A'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'C'" "'LO'" "'HI'"
'D' "'D'" "'LO'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'B' "'C'" "'LO'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'C'" "'LO'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'B' "'B'" "'HI'" "'HI'"
'C' "'B'" "'HI'" "'LO'"
'D' "'B'" "'HI'" "'LO'"
'A' "'B'" "'HI'" "'HI'"
'A' "'C'" "'LO'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'D' "'A'" "'HI'" "'LO'"
'A' "'C'" "'LO'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'C'" "'LO'" "'HI'"
'C' "'A'" "'HI'" "'LO'"
'A' "'D'" "'LO'" "'HI'"
'D' "'B'" "'HI'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'C' "'B'" "'HI'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'B' "'D'" "'LO'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'B' "'D'" "'LO'" "'HI'"
'B' "'B'" "'HI'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'B' "'D'" "'LO'" "'HI'"
'D' "'D'" "'LO'" "'LO'"
'A' "'B'" "'HI'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'B' "'C'" "'LO'" "'HI'"
'B' "'B'" "'HI'" "'HI'"
'C' "'A'" "'HI'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'D' "'B'" "'HI'" "'LO'"
'B' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'B' "'D'" "'LO'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'C'" "'LO'" "'HI'"
'C' "'A'" "'HI'" "'LO'"
'B' "'A'" "'HI'" "'HI'"
'D' "'A'" "'HI'" "'LO'"
'B' "'B'" "'HI'" "'HI'"
'C' "'C'" "'LO'" "'LO'"
'B' "'D'" "'LO'" "'HI'"
'D' "'B'" "'HI'" "'LO'"
'B' "'B'" "'HI'" "'HI'"
'A' "'B'" "'HI'" "'HI'"
'A' "'A'" "'HI'" "'HI'"
'D' "'D'" "'LO'" "'LO'"
'B' "'B'" "'HI'" "'HI'"
'C' "'D'" "'LO'" "'LO'"
'D' "'B'" "'HI'" "'LO'"
'D' "'C'" "'LO'" "'LO'"
'D' "'B'" "'HI'" "'LO'"
'D' "'A'" "'HI'" "'LO'"
'A' "'B'" "'HI'" "'HI'"
'B' "'B'" "'HI'" "'HI'"
'D' "'A'" "'HI'" "'LO'"
'A' "'A'" "'HI'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'A' "'D'" "'LO'" "'HI'"
'D' "'D'" "'LO'" "'LO'"
'D' "'A'" "'HI'" "'LO'"
'A' "'C'" "'LO'" "'HI'"
'D' "'A'" "'HI'" "'LO'"
'D' "'D'" "'LO'" "'LO'"
'D' "'D'" "'LO'" "'LO'"
'D' "'C'" "'LO'" "'LO'"
'A' "'C'" "'LO'" "'HI'"
'D' "'B'" "'HI'" "'LO'"
'D' "'A'" "'HI'" "'LO'"
'B' "'C'" "'LO'" "'HI'"
'D' "'D'" "'LO'" "'LO'"
'D' "'C'" "'LO'" "'LO'"

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315630&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

2 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=315630&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315630&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	2 seconds
R Server	Big Analytics Cloud Computing Center

Tabulation of Results
Happiness2 x Software2
	'HI'	'LO'
'HI'	71	32
'LO'	37	22

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Happiness2  x  Software2 \tabularnewline
  & 'HI' & 'LO' \tabularnewline
'HI' & 71 & 32 \tabularnewline
'LO' & 37 & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315630&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Happiness2  x  Software2[/C][/ROW]
[ROW][C] [/C][C]'HI'[/C][C]'LO'[/C][/ROW]
[C]'HI'[/C][C]71[/C][C]32[/C][/ROW]
[C]'LO'[/C][C]37[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315630&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315630&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
Happiness2 x Software2
	'HI'	'LO'
'HI'	71	32
'LO'	37	22

Tabulation of Expected Results
Happiness2 x Software2
	'HI'	'LO'
'HI'	68.67	34.33
'LO'	39.33	19.67

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Happiness2  x  Software2 \tabularnewline
  & 'HI' & 'LO' \tabularnewline
'HI' & 68.67 & 34.33 \tabularnewline
'LO' & 39.33 & 19.67 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315630&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Happiness2  x  Software2[/C][/ROW]
[ROW][C] [/C][C]'HI'[/C][C]'LO'[/C][/ROW]
[C]'HI'[/C][C]68.67[/C][C]34.33[/C][/ROW]
[C]'LO'[/C][C]39.33[/C][C]19.67[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315630&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315630&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
Happiness2 x Software2
	'HI'	'LO'
'HI'	68.67	34.33
'LO'	39.33	19.67

Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Pearson Chi Square Statistic	0.4
Degrees of Freedom	1
P value	0.53

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with Yates' continuity correction \tabularnewline
Pearson Chi Square Statistic & 0.4 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.53 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315630&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with Yates' continuity correction[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]0.4[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.53[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315630&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315630&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 with Yates' continuity correction
Pearson Chi Square Statistic	0.4
Degrees of Freedom	1
P value	0.53

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 3 ; par2 = 4 ; par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 3 ; par2 = 4 ; 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