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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationTue, 18 Dec 2012 07:06:51 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/18/t13558324529egx45jfvaku8t4.htm/, Retrieved Fri, 15 May 2026 20:28:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=201402, Retrieved Fri, 15 May 2026 20:28:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact456

Tree of Dependent Computations

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] [Paper chi-squared...] [2012-12-18 12:06:51] [1fe26bd17a10f70c1ca37a05cc3c4a5a] [Current]
-         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [rfc chi kwadraat ...] [2012-12-19 22:20:44] [5681f3f0ac2340d6f296c6f0abf509cb]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [RFC deel 5 chi kwadr] [2012-12-20 20:02:08] [5681f3f0ac2340d6f296c6f0abf509cb]
-   P         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [simulated p-value] [2012-12-20 20:48:55] [5681f3f0ac2340d6f296c6f0abf509cb]
- RMPD      [Two-Way ANOVA] [RFC anova deel 5] [2012-12-20 20:06:44] [5681f3f0ac2340d6f296c6f0abf509cb]
- R P         [Two-Way ANOVA] [anova deel 5 rfc] [2012-12-20 21:42:44] [5681f3f0ac2340d6f296c6f0abf509cb]
- RMP         [Multiple Regression] [RFC deel 5 paper ...] [2012-12-20 22:05:15] [5681f3f0ac2340d6f296c6f0abf509cb]
- R             [Multiple Regression] [rfc deel 5 paper ...] [2012-12-20 22:37:28] [5681f3f0ac2340d6f296c6f0abf509cb]
- RMPD      [Multiple Regression] [RFC deel 5 multip...] [2012-12-20 20:07:53] [5681f3f0ac2340d6f296c6f0abf509cb]
- RM      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [RFC Chi-squared] [2012-12-20 20:03:53] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2	0	1
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201402&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201402&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201402&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Tabulation of Results
T40 x T20
01
05117
1630
2230

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
T40  x  T20 \tabularnewline
  & 0 & 1 \tabularnewline
0 & 51 & 17 \tabularnewline
1 & 63 & 0 \tabularnewline
2 & 23 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201402&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]T40  x  T20[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]0[/C][C]51[/C][C]17[/C][/ROW]
[C]1[/C][C]63[/C][C]0[/C][/ROW]
[C]2[/C][C]23[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201402&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201402&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Results
T40 x T20
01
05117
1630
2230






Tabulation of Expected Results
T40 x T20
01
060.497.51
156.056.95
220.462.54

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
T40  x  T20 \tabularnewline
  & 0 & 1 \tabularnewline
0 & 60.49 & 7.51 \tabularnewline
1 & 56.05 & 6.95 \tabularnewline
2 & 20.46 & 2.54 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201402&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]T40  x  T20[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]0[/C][C]60.49[/C][C]7.51[/C][/ROW]
[C]1[/C][C]56.05[/C][C]6.95[/C][/ROW]
[C]2[/C][C]20.46[/C][C]2.54[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201402&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201402&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
T40 x T20
01
060.497.51
156.056.95
220.462.54






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic24.17
Degrees of Freedom2
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 24.17 \tabularnewline
Degrees of Freedom & 2 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=201402&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]24.17[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]2[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=201402&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=201402&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic24.17
Degrees of Freedom2
P value0


Figures (Output of Computation)

Input Parameters & R Code

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')