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rwasp_chi_squared_tests.wasp

Title produced by software

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

Date of computation

Mon, 08 Dec 2014 14:50:55 +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/08/t1418050262iwj750nlp4jucmh.htm/, Retrieved Tue, 10 Feb 2026 02:26:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264035, Retrieved Tue, 10 Feb 2026 02:26:49 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

295

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] [Chi Square] [2014-12-08 14:50:55] [310e7528d8f6aa5642dc98f4186768d1] [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 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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264035&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264035&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264035&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 Maurice George Kendall' @ kendall.wessa.net

Tabulation of Results
Proportionality_and_ratio x Probability_and_sampling
	'A'	'B'	'D'
A	106	50	4
B	95	48	9
C	105	62	46
D	92	80	33

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Proportionality_and_ratio  x  Probability_and_sampling \tabularnewline
  & 'A' & 'B' & 'D' \tabularnewline
A & 106 & 50 & 4 \tabularnewline
B & 95 & 48 & 9 \tabularnewline
C & 105 & 62 & 46 \tabularnewline
D & 92 & 80 & 33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264035&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Proportionality_and_ratio  x  Probability_and_sampling[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]106[/C][C]50[/C][C]4[/C][/ROW]
[C]B[/C][C]95[/C][C]48[/C][C]9[/C][/ROW]
[C]C[/C][C]105[/C][C]62[/C][C]46[/C][/ROW]
[C]D[/C][C]92[/C][C]80[/C][C]33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264035&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264035&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
Proportionality_and_ratio x Probability_and_sampling
	'A'	'B'	'D'
A	106	50	4
B	95	48	9
C	105	62	46
D	92	80	33

Tabulation of Expected Results
Proportionality_and_ratio x Probability_and_sampling
	'A'	'B'	'D'
A	87.23	52.6	20.16
B	82.87	49.97	19.16
C	116.13	70.03	26.84
D	111.77	67.4	25.84

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Proportionality_and_ratio  x  Probability_and_sampling \tabularnewline
  & 'A' & 'B' & 'D' \tabularnewline
A & 87.23 & 52.6 & 20.16 \tabularnewline
B & 82.87 & 49.97 & 19.16 \tabularnewline
C & 116.13 & 70.03 & 26.84 \tabularnewline
D & 111.77 & 67.4 & 25.84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264035&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Proportionality_and_ratio  x  Probability_and_sampling[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]87.23[/C][C]52.6[/C][C]20.16[/C][/ROW]
[C]B[/C][C]82.87[/C][C]49.97[/C][C]19.16[/C][/ROW]
[C]C[/C][C]116.13[/C][C]70.03[/C][C]26.84[/C][/ROW]
[C]D[/C][C]111.77[/C][C]67.4[/C][C]25.84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264035&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264035&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
Proportionality_and_ratio x Probability_and_sampling
	'A'	'B'	'D'
A	87.23	52.6	20.16
B	82.87	49.97	19.16
C	116.13	70.03	26.84
D	111.77	67.4	25.84

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	47.86
Degrees of Freedom	6
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 47.86 \tabularnewline
Degrees of Freedom & 6 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264035&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]47.86[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]6[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264035&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264035&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	47.86
Degrees of Freedom	6
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code