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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

Mon, 12 Dec 2016 17:03:33 +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/12/t1481559184s06gbv4jlcz0o85.htm/, Retrieved Fri, 03 May 2024 22:28:44 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298928, Retrieved Fri, 03 May 2024 22:28:44 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [CHI KWADRAAT] [2016-12-12 16:03:33] [168e69cfb1c001c8b9ca70e943ef53ff] [Current]

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Histogram

Boxplots

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

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
R Framework error message	Warning: there are blank lines in the 'Data X' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\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
R Framework error message & Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298928&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] [ROW]

R Framework error message[/C][C]

Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298928&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298928&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
R Framework error message	Warning: there are blank lines in the 'Data X' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Tabulation of Results
V1 x V2
	1	2	3	4	5
1	1	1	4	1	2
2	2	5	12	18	5
3	1	4	13	11	3
4	0	7	22	24	9
5	1	0	5	8	3

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
V1  x  V2 \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 1 & 1 & 4 & 1 & 2 \tabularnewline
2 & 2 & 5 & 12 & 18 & 5 \tabularnewline
3 & 1 & 4 & 13 & 11 & 3 \tabularnewline
4 & 0 & 7 & 22 & 24 & 9 \tabularnewline
5 & 1 & 0 & 5 & 8 & 3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298928&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]V1  x  V2[/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]1[/C][C]1[/C][C]4[/C][C]1[/C][C]2[/C][/ROW]
[C]2[/C][C]2[/C][C]5[/C][C]12[/C][C]18[/C][C]5[/C][/ROW]
[C]3[/C][C]1[/C][C]4[/C][C]13[/C][C]11[/C][C]3[/C][/ROW]
[C]4[/C][C]0[/C][C]7[/C][C]22[/C][C]24[/C][C]9[/C][/ROW]
[C]5[/C][C]1[/C][C]0[/C][C]5[/C][C]8[/C][C]3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298928&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298928&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
V1 x V2
	1	2	3	4	5
1	1	1	4	1	2
2	2	5	12	18	5
3	1	4	13	11	3
4	0	7	22	24	9
5	1	0	5	8	3

Tabulation of Expected Results
V1 x V2
	1	2	3	4	5
1	0.28	0.94	3.11	3.44	1.22
2	1.3	4.41	14.52	16.07	5.7
3	0.99	3.36	11.06	12.25	4.35
4	1.91	6.51	21.43	23.73	8.42
5	0.52	1.78	5.88	6.51	2.31

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
V1  x  V2 \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.28 & 0.94 & 3.11 & 3.44 & 1.22 \tabularnewline
2 & 1.3 & 4.41 & 14.52 & 16.07 & 5.7 \tabularnewline
3 & 0.99 & 3.36 & 11.06 & 12.25 & 4.35 \tabularnewline
4 & 1.91 & 6.51 & 21.43 & 23.73 & 8.42 \tabularnewline
5 & 0.52 & 1.78 & 5.88 & 6.51 & 2.31 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298928&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]V1  x  V2[/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]0.28[/C][C]0.94[/C][C]3.11[/C][C]3.44[/C][C]1.22[/C][/ROW]
[C]2[/C][C]1.3[/C][C]4.41[/C][C]14.52[/C][C]16.07[/C][C]5.7[/C][/ROW]
[C]3[/C][C]0.99[/C][C]3.36[/C][C]11.06[/C][C]12.25[/C][C]4.35[/C][/ROW]
[C]4[/C][C]1.91[/C][C]6.51[/C][C]21.43[/C][C]23.73[/C][C]8.42[/C][/ROW]
[C]5[/C][C]0.52[/C][C]1.78[/C][C]5.88[/C][C]6.51[/C][C]2.31[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298928&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298928&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
V1 x V2
	1	2	3	4	5
1	0.28	0.94	3.11	3.44	1.22
2	1.3	4.41	14.52	16.07	5.7
3	0.99	3.36	11.06	12.25	4.35
4	1.91	6.51	21.43	23.73	8.42
5	0.52	1.78	5.88	6.51	2.31

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	11.49
Degrees of Freedom	16
P value	0.78

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 11.49 \tabularnewline
Degrees of Freedom & 16 \tabularnewline
P value & 0.78 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298928&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]11.49[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]16[/C][/ROW]
[ROW][C]P value[/C][C]0.78[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298928&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298928&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	11.49
Degrees of Freedom	16
P value	0.78

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = grey ; par2 = no ;

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