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rwasp_chi_squared_tests.wasp

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Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Wed, 17 Dec 2014 13:03:52 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/17/t1418821449x9lmtolyvplxepf.htm/, Retrieved Thu, 16 May 2024 11:55:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270161, Retrieved Thu, 16 May 2024 11:55:28 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [chi numrancy] [2014-12-17 13:03:52] [1eefdc4bcaacfd1256bab4a2d2265988] [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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270161&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270161&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270161&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

Tabulation of Results
NUMERACYTOT x TOT
	'A'	'B'	'C'	'D'
'A'	35	24	21	15
'B'	14	15	18	22
'C'	11	11	16	11
'D'	11	18	16	20

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
NUMERACYTOT  x  TOT \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
'A' & 35 & 24 & 21 & 15 \tabularnewline
'B' & 14 & 15 & 18 & 22 \tabularnewline
'C' & 11 & 11 & 16 & 11 \tabularnewline
'D' & 11 & 18 & 16 & 20 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270161&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]NUMERACYTOT  x  TOT[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]'A'[/C][C]35[/C][C]24[/C][C]21[/C][C]15[/C][/ROW]
[C]'B'[/C][C]14[/C][C]15[/C][C]18[/C][C]22[/C][/ROW]
[C]'C'[/C][C]11[/C][C]11[/C][C]16[/C][C]11[/C][/ROW]
[C]'D'[/C][C]11[/C][C]18[/C][C]16[/C][C]20[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270161&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270161&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
NUMERACYTOT x TOT
	'A'	'B'	'C'	'D'
'A'	35	24	21	15
'B'	14	15	18	22
'C'	11	11	16	11
'D'	11	18	16	20

Tabulation of Expected Results
NUMERACYTOT x TOT
	'A'	'B'	'C'	'D'
'A'	24.26	23.24	24.26	23.24
'B'	17.62	16.88	17.62	16.88
'C'	12.51	11.99	12.51	11.99
'D'	16.6	15.9	16.6	15.9

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
NUMERACYTOT  x  TOT \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
'A' & 24.26 & 23.24 & 24.26 & 23.24 \tabularnewline
'B' & 17.62 & 16.88 & 17.62 & 16.88 \tabularnewline
'C' & 12.51 & 11.99 & 12.51 & 11.99 \tabularnewline
'D' & 16.6 & 15.9 & 16.6 & 15.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270161&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]NUMERACYTOT  x  TOT[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]'A'[/C][C]24.26[/C][C]23.24[/C][C]24.26[/C][C]23.24[/C][/ROW]
[C]'B'[/C][C]17.62[/C][C]16.88[/C][C]17.62[/C][C]16.88[/C][/ROW]
[C]'C'[/C][C]12.51[/C][C]11.99[/C][C]12.51[/C][C]11.99[/C][/ROW]
[C]'D'[/C][C]16.6[/C][C]15.9[/C][C]16.6[/C][C]15.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270161&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270161&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
NUMERACYTOT x TOT
	'A'	'B'	'C'	'D'
'A'	24.26	23.24	24.26	23.24
'B'	17.62	16.88	17.62	16.88
'C'	12.51	11.99	12.51	11.99
'D'	16.6	15.9	16.6	15.9

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	15.21
Degrees of Freedom	9
P value	0.09

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 15.21 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.09 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270161&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]15.21[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.09[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270161&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270161&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	15.21
Degrees of Freedom	9
P value	0.09

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