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*The author of this computation has been verified*

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, 21 Dec 2016 12:37:06 +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/2016/Dec/21/t1482320722zretvnmf0r4oaxb.htm/, Retrieved Mon, 06 May 2024 11:20:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302184, Retrieved Mon, 06 May 2024 11:20:42 +0000

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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-squared] [2016-12-21 11:37:06] [36884fbde1107444791dd71ee0072a5a] [Current]

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Boxplots

3	4	3	4	5	4	4	4
5	5	5	4	5	4	4	4
5	4	4	4	4	3	3	2
5	4	4	4	4	3	3	3
4	4	3	4	5	4	4	3
5	5	5	5	5	3	4	3
5	4	3	3	5	4	2	3
5	5	5	4	5	4	2	4
5	5	4	1	5	2	2	4
5	4	3	3	5	1	2	4
5	5	5	4	4	4	3	2
4	4	5	3	5	4	3	2
5	5	5	5	5	4	5	4
5	5	4	4	5	5	4	5
4	4	3	4	4	4	3	4
3	4	4	3	5	1	4	4
5	5	5	5	3	4	4	2
5	4	3	4	5	2	2	2
5	3	3	5	5	3	4	5
4	4	4	4	5	3	4	4
2	5	1	2	2	2	3	1
5	5	4	5	3	1	3	5
5	5	4	5	4	3	2	3
5	5	4	2	4	2	2	4
4	4	4	3	4	3	3	4
4	5	5	4	5	4	3	2
4	5	4	4	4	4	3	4
5	5	4	5	5	2	4	2
5	5	4	3	4	3	4	3
4	4	4	2	5	4	3	4
5	5	4	5	4	4	4	4
5	5	5	5	4	4	3	4
1	1	1	2	4	3	4	4
5	5	4	5	5	4	3	4
4	5	4	3	5	4	3	4
4	4	4	3	5	4	3	5
4	4	4	4	5	4	3	4
5	5	4	4	2	3	2	4
4	4	5	3	4	3	5	3
4	4	4	3	4	4	3	4
5	4	4	4	4	2	1	4
3	3	4	4	5	3	2	3
5	5	5	5	5	4	2	2
5	5	5	4	5	4	3	5
2	2	1	2	4	3	2	4
3	3	3	4	4	2	3	3
4	4	3	5	5	3	5	4
4	5	3	4	5	3	4	4
4	4	4	4	5	4	5	4
5	5	4	4	4	3	2	3
5	5	5	3	4	3	4	4
4	4	4	4	5	3	3	4
5	5	3	4	5	3	3	4
5	5	5	4	5	3	2	4
4	4	4	4	4	5	3	5
5	5	4	5	5	4	2	4
4	5	3	1	5	4	4	2
4	4	4	4	4	3	4	4
3	4	3	3	4	4	3	5
4	4	3	1	5	4	1	2
4	5	4	4	5	1	1	3
5	4	4	4	4	4	3	4
4	5	4	4	4	3	3	3
4	5	4	3	5	3	2	4
4	4	4	4	3	4	3	4
4	3	3	4	3	2	4	4
4	4	4	4	5	4	3	5
2	4	4	3	4	5	4	3
4	5	4	3	4	4	4	4
4	4	3	3	5	4	3	4
5	5	5	5	5	4	4	4
3	3	3	3	4	4	4	4
3	4	3	3	5	4	3	4
5	4	5	4	4	2	3	4
4	3	3	4	4	4	5	4
5	5	5	4	4	2	2	4
4	5	4	5	5	5	4	4
4	3	3	4	4	5	3	3
5	5	3	5	4	2	3	3
5	5	5	4	4	4	3	2
5	4	3	3	4	3	4	2
4	4	3	3	4	3	4	2
5	4	4	4	2	3	3	3
5	5	5	4	4	4	5	4
2	5	4	2	4	4	3	4
5	4	5	5	5	3	4	4
5	5	4	4	4	3	3	4
5	5	5	5	5	4	5	4
5	4	4	2	4	4	4	4
4	4	4	3	4	2	4	4
4	4	4	3	3	3	4	2
5	5	5	5	4	3	4	3
4	4	4	3	2	3	2	2
5	5	5	4	4	4	3	3
5	5	4	4	5	4	4	4
5	4	5	4	3	4	3	5
4	4	4	3	4	4	3	4
5	5	5	5	5	5	5	5
5	5	5	2	2	4	3	3
3	4	2	3	5	3	1	5
5	4	5	4	5	4	3	4
5	5	5	4	5	4	4	5
5	5	5	5	4	2	2	2
4	3	3	3	4	3	3	3
4	4	5	4	5	3	4	4
4	4	4	3	5	3	4	5
4	4	4	4	4	4	4	4
5	5	5	3	4	4	4	5
5	5	4	4	5	4	5	5
4	4	2	4	5	4	4	5
3	4	4	4	5	3	3	4
3	4	3	2	4	3	3	4
4	4	5	4	5	3	3	4
4	4	3	3	4	2	4	4
5	5	4	4	5	3	4	4
5	4	4	4	4	2	2	4
4	4	5	4	5	4	5	5
5	5	5	5	5	5	2	5
5	4	4	3	4	3	2	5
4	4	3	3	4	3	2	4
4	4	3	4	4	3	3	4
5	5	4	4	5	2	3	4
5	5	5	5	5	3	4	5
5	5	3	4	4	3	4	4
5	5	3	4	4	3	4	4
4	5	4	4	5	4	3	4
5	4	4	4	5	4	4	4
3	4	4	4	4	3	4	2
5	5	4	3	4	4	3	4
5	4	5	4	4	1	3	2
4	5	4	4	4	5	5	4
5	5	5	5	5	4	4	3
4	4	4	3	5	3	3	5
4	4	4	4	4	5	3	2
4	4	4	3	4	4	3	4
4	4	5	5	4	3	3	3
2	3	2	4	4	4	4	4
4	4	4	3	3	4	3	3
5	4	5	4	4	4	2	4
5	5	5	5	5	3	4	5
5	5	5	4	4	2	4	3
4	4	4	2	4	4	4	2
4	5	4	3	5	3	5	5
5	4	4	2	3	3	2	4
5	4	4	4	4	4	2	4
5	4	5	4	1	2	3	2
5	5	5	5	5	3	3	5
5	3	5	4	4	4	2	3
5	4	5	4	5	4	4	3
4	4	4	3	3	3	2	3
5	4	4	3	4	4	3	4
3	3	3	2	4	4	4	4
3	4	4	4	4	3	3	4
4	5	4	5	4	2	3	4
4	5	4	4	5	4	4	4
3	5	3	5	5	2	2	4
3	4	3	2	5	3	5	5
5	5	5	4	5	4	4	3
5	5	4	4	4	3	3	3
5	4	4	2	5	2	5	4
5	4	4	4	5	4	2	4
5	5	5	4	4	1	4	5
5	4	5	4	3	5	4	3
5	5	5	4	4	4	4	4
5	4	5	2	4	3	3	2
4	4	4	4	5	4	5	5
4	4	5	3	4	4	3	4
2	4	5	3	4	3	3	3

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	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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302184&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]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302184&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302184&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	Big Analytics Cloud Computing Center

Tabulation of Results
ITH1 x KVDD1
	1	2	3	4	5
1	0	0	0	1	0
2	0	1	0	5	0
3	0	0	0	7	8
4	0	1	5	26	29
5	1	3	5	39	37

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
ITH1  x  KVDD1 \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0 & 0 & 0 & 1 & 0 \tabularnewline
2 & 0 & 1 & 0 & 5 & 0 \tabularnewline
3 & 0 & 0 & 0 & 7 & 8 \tabularnewline
4 & 0 & 1 & 5 & 26 & 29 \tabularnewline
5 & 1 & 3 & 5 & 39 & 37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302184&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]ITH1  x  KVDD1[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]5[/C][C]0[/C][/ROW]
[C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]7[/C][C]8[/C][/ROW]
[C]4[/C][C]0[/C][C]1[/C][C]5[/C][C]26[/C][C]29[/C][/ROW]
[C]5[/C][C]1[/C][C]3[/C][C]5[/C][C]39[/C][C]37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302184&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302184&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
ITH1 x KVDD1
	1	2	3	4	5
1	0	0	0	1	0
2	0	1	0	5	0
3	0	0	0	7	8
4	0	1	5	26	29
5	1	3	5	39	37

Tabulation of Expected Results
ITH1 x KVDD1
	1	2	3	4	5
1	0.01	0.03	0.06	0.46	0.44
2	0.04	0.18	0.36	2.79	2.64
3	0.09	0.45	0.89	6.96	6.61
4	0.36	1.82	3.63	28.32	26.87
5	0.51	2.53	5.06	39.46	37.44

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
ITH1  x  KVDD1 \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.01 & 0.03 & 0.06 & 0.46 & 0.44 \tabularnewline
2 & 0.04 & 0.18 & 0.36 & 2.79 & 2.64 \tabularnewline
3 & 0.09 & 0.45 & 0.89 & 6.96 & 6.61 \tabularnewline
4 & 0.36 & 1.82 & 3.63 & 28.32 & 26.87 \tabularnewline
5 & 0.51 & 2.53 & 5.06 & 39.46 & 37.44 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302184&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]ITH1  x  KVDD1[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0.01[/C][C]0.03[/C][C]0.06[/C][C]0.46[/C][C]0.44[/C][/ROW]
[C]2[/C][C]0.04[/C][C]0.18[/C][C]0.36[/C][C]2.79[/C][C]2.64[/C][/ROW]
[C]3[/C][C]0.09[/C][C]0.45[/C][C]0.89[/C][C]6.96[/C][C]6.61[/C][/ROW]
[C]4[/C][C]0.36[/C][C]1.82[/C][C]3.63[/C][C]28.32[/C][C]26.87[/C][/ROW]
[C]5[/C][C]0.51[/C][C]2.53[/C][C]5.06[/C][C]39.46[/C][C]37.44[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302184&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302184&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
ITH1 x KVDD1
	1	2	3	4	5
1	0.01	0.03	0.06	0.46	0.44
2	0.04	0.18	0.36	2.79	2.64
3	0.09	0.45	0.89	6.96	6.61
4	0.36	1.82	3.63	28.32	26.87
5	0.51	2.53	5.06	39.46	37.44

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	13.64
P value	0.42

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Exact Pearson Chi Square Statistic & 13.64 \tabularnewline
P value & 0.42 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302184&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Exact Pearson Chi Square Statistic[/C][C]13.64[/C][/ROW]
[ROW][C]P value[/C][C]0.42[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302184&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302184&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 simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	13.64
P value	0.42

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 5 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 1 ; par2 = 5 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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