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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

Wed, 17 Dec 2014 18:23:48 +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/17/t1418840639co2y6bxbn1f5d5n.htm/, Retrieved Fri, 01 Nov 2024 00:33:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270556, Retrieved Fri, 01 Nov 2024 00:33:15 +0000

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User-defined keywords

Estimated Impact

112

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] [] [2014-12-16 20:10:37] [99723d3e379f668157309b7b2091b15d]
- R PD  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 15:33:47] [99723d3e379f668157309b7b2091b15d]
-         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 15:35:15] [99723d3e379f668157309b7b2091b15d]
-   P       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 16:12:28] [99723d3e379f668157309b7b2091b15d]
-             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 16:55:52] [99723d3e379f668157309b7b2091b15d]
-               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 17:26:04] [99723d3e379f668157309b7b2091b15d]
-                 [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 17:37:10] [99723d3e379f668157309b7b2091b15d]
-                   [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 17:49:54] [99723d3e379f668157309b7b2091b15d]
-                       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 18:23:48] [9cfaa8765546b50e5519e275546e5cfe] [Current]
-                         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-17 18:31:37] [99723d3e379f668157309b7b2091b15d] 

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Dataseries X:

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Histogram

Boxplots

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'Lo'	'Lo'	'Hi'	'Lo'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Lo'	'Hi'	'Lo'	'Hi'	'Lo'
'Hi'	'Hi'	'Hi'	'Hi'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Lo'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Lo'	'Lo'	'Lo'	'Lo'
'Hi'	'Hi'	'Hi'	'Lo'	'Lo'	'Hi'
'Lo'	'Lo'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Hi'	'Hi'	'Hi'	'Hi'	'Lo'	'Lo'
'Hi'	'Hi'	'Lo'	'Lo'	'Hi'	'Lo'
'Lo'	'Lo'	'Hi'	'Hi'	'Hi'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Hi'	'Lo'	'Hi'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Hi'	'Hi'	'Lo'	'Hi'
'Hi'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Hi'	'Hi'	'Lo'	'Hi'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Hi'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Hi'	'Lo'	'Lo'	'Lo'	'Hi'
'Lo'	'Hi'	'Lo'	'Lo'	'Lo'	'Lo'
'Hi'	'Hi'	'Lo'	'Hi'	'Hi'	'Hi'
'Hi'	'Lo'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Lo'	'Hi'	'Lo'	'Hi'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Lo'	'Hi'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Hi'	'Lo'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Lo'	'Hi'	'Lo'	'Lo'	'Lo'
'Hi'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Hi'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Hi'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Hi'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Hi'	'Lo'	'Lo'	'Hi'	'Hi'	'Lo'
'Lo'	'Hi'	'Hi'	'Lo'	'Lo'	'Hi'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Hi'	'Lo'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Lo'	'Hi'	'Lo'	'Lo'
'Lo'	'Lo'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Lo'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Hi'	'Lo'	'Lo'	'Hi'	'Lo'	'Lo'
'Lo'	'Lo'	'Hi'	'Lo'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Hi'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Hi'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Lo'	'Hi'	'Lo'	'Hi'	'Hi'
'Lo'	'Lo'	'Hi'	'Hi'	'Hi'	'Hi'
'Hi'	'Hi'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Hi'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Lo'	'Hi'	'Hi'	'Lo'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Hi'	'Lo'	'Hi'	'Lo'	'Lo'
'Lo'	'Lo'	'Hi'	'Hi'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Lo'	'Hi'	'Hi'	'Lo'
'Lo'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Hi'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Lo'	'Lo'	'Hi'	'Hi'	'Lo'	'Lo'
'Lo'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Lo'	'Lo'	'Hi'	'Hi'	'Hi'
'Hi'	'Hi'	'Lo'	'Hi'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Hi'	'Lo'	'Hi'	'Lo'	'Lo'
'Hi'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Lo'	'Lo'	'Hi'	'Lo'
'Lo'	'Lo'	'Hi'	'Hi'	'Lo'	'Hi'
'Hi'	'Lo'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Hi'	'Lo'	'Hi'	'Hi'	'Lo'
'Lo'	'Hi'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Lo'	'Hi'	'Lo'	'Lo'	'Lo'	'Lo'
'Hi'	'Lo'	'Hi'	'Hi'	'Lo'	'Lo'
'Hi'	'Lo'	'Lo'	'Hi'	'Lo'	'Lo'
'Lo'	'Lo'	'Hi'	'Lo'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Hi'	'Hi'	'Lo'	'Lo'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Lo'	'Lo'	'Hi'
'Lo'	'Lo'	'Lo'	'Hi'	'Lo'	'Lo'
'Lo'	'Hi'	'Hi'	'Hi'	'Hi'	'Hi'
'Hi'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Hi'	'Hi'	'Hi'	'Lo'	'Hi'
'Lo'	'Lo'	'Lo'	'Lo'	'Hi'	'Lo'
'Lo'	'Lo'	'Hi'	'Hi'	'Hi'	'Hi'
'Lo'	'Lo'	'Hi'	'Hi'	'Hi'	'Hi'

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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270556&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270556&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270556&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	'George Udny Yule' @ yule.wessa.net

Tabulation of Results
cmd x or
	Hi	Lo
Hi	35	26
Lo	19	28

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
cmd  x  or \tabularnewline
  & Hi & Lo \tabularnewline
Hi & 35 & 26 \tabularnewline
Lo & 19 & 28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270556&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]cmd  x  or[/C][/ROW]
[ROW][C] [/C][C]Hi[/C][C]Lo[/C][/ROW]
[C]Hi[/C][C]35[/C][C]26[/C][/ROW]
[C]Lo[/C][C]19[/C][C]28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270556&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270556&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
cmd x or
	Hi	Lo
Hi	35	26
Lo	19	28

Tabulation of Expected Results
cmd x or
	Hi	Lo
Hi	30.5	30.5
Lo	23.5	23.5

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
cmd  x  or \tabularnewline
  & Hi & Lo \tabularnewline
Hi & 30.5 & 30.5 \tabularnewline
Lo & 23.5 & 23.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270556&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]cmd  x  or[/C][/ROW]
[ROW][C] [/C][C]Hi[/C][C]Lo[/C][/ROW]
[C]Hi[/C][C]30.5[/C][C]30.5[/C][/ROW]
[C]Lo[/C][C]23.5[/C][C]23.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270556&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270556&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
cmd x or
	Hi	Lo
Hi	30.5	30.5
Lo	23.5	23.5

Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Pearson Chi Square Statistic	2.41
Degrees of Freedom	1
P value	0.12

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with Yates' continuity correction \tabularnewline
Pearson Chi Square Statistic & 2.41 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270556&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]2.41[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270556&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270556&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	2.41
Degrees of Freedom	1
P value	0.12

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 4 ; par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 3 ; par2 = 5 ; 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