Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*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, 22 Oct 2012 13:04:51 -0400

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/2012/Oct/22/t1350925514hwz2fgp8y1ezm8n.htm/, Retrieved Fri, 03 May 2024 16:10:30 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=181800, Retrieved Fri, 03 May 2024 16:10:30 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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] [connected] [2012-10-22 17:04:51] [b10844c2ba52e3b5d69e5048d57239b0] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

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

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
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 Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \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=181800&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]
[ROW][C]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=181800&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181800&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
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
A x B
	1	2	3	4	5
1	0	0	0	3	0
2	0	2	1	13	4
3	1	4	1	10	3
4	2	31	24	29	12
5	2	5	5	8	2

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0 & 0 & 0 & 3 & 0 \tabularnewline
2 & 0 & 2 & 1 & 13 & 4 \tabularnewline
3 & 1 & 4 & 1 & 10 & 3 \tabularnewline
4 & 2 & 31 & 24 & 29 & 12 \tabularnewline
5 & 2 & 5 & 5 & 8 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181800&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]A  x  B[/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]3[/C][C]0[/C][/ROW]
[C]2[/C][C]0[/C][C]2[/C][C]1[/C][C]13[/C][C]4[/C][/ROW]
[C]3[/C][C]1[/C][C]4[/C][C]1[/C][C]10[/C][C]3[/C][/ROW]
[C]4[/C][C]2[/C][C]31[/C][C]24[/C][C]29[/C][C]12[/C][/ROW]
[C]5[/C][C]2[/C][C]5[/C][C]5[/C][C]8[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181800&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181800&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
A x B
	1	2	3	4	5
1	0	0	0	3	0
2	0	2	1	13	4
3	1	4	1	10	3
4	2	31	24	29	12
5	2	5	5	8	2

Tabulation of Expected Results
A x B
	1	2	3	4	5
1	0.09	0.78	0.57	1.17	0.39
2	0.62	5.19	3.83	7.78	2.59
3	0.59	4.93	3.64	7.39	2.46
4	3.02	25.41	18.75	38.11	12.7
5	0.68	5.7	4.21	8.56	2.85

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.09 & 0.78 & 0.57 & 1.17 & 0.39 \tabularnewline
2 & 0.62 & 5.19 & 3.83 & 7.78 & 2.59 \tabularnewline
3 & 0.59 & 4.93 & 3.64 & 7.39 & 2.46 \tabularnewline
4 & 3.02 & 25.41 & 18.75 & 38.11 & 12.7 \tabularnewline
5 & 0.68 & 5.7 & 4.21 & 8.56 & 2.85 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181800&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]A  x  B[/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]0.09[/C][C]0.78[/C][C]0.57[/C][C]1.17[/C][C]0.39[/C][/ROW]
[C]2[/C][C]0.62[/C][C]5.19[/C][C]3.83[/C][C]7.78[/C][C]2.59[/C][/ROW]
[C]3[/C][C]0.59[/C][C]4.93[/C][C]3.64[/C][C]7.39[/C][C]2.46[/C][/ROW]
[C]4[/C][C]3.02[/C][C]25.41[/C][C]18.75[/C][C]38.11[/C][C]12.7[/C][/ROW]
[C]5[/C][C]0.68[/C][C]5.7[/C][C]4.21[/C][C]8.56[/C][C]2.85[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181800&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181800&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
A x B
	1	2	3	4	5
1	0.09	0.78	0.57	1.17	0.39
2	0.62	5.19	3.83	7.78	2.59
3	0.59	4.93	3.64	7.39	2.46
4	3.02	25.41	18.75	38.11	12.7
5	0.68	5.7	4.21	8.56	2.85

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	25.42
Degrees of Freedom	16
P value	0.06

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 25.42 \tabularnewline
Degrees of Freedom & 16 \tabularnewline
P value & 0.06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181800&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]25.42[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]16[/C][/ROW]
[ROW][C]P value[/C][C]0.06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181800&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181800&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	25.42
Degrees of Freedom	16
P value	0.06

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code