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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

Thu, 13 Dec 2012 12:00:11 -0500

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/Dec/13/t13554182146c8s4h4lxs20kit.htm/, Retrieved Mon, 29 Apr 2024 04:47:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=199326, Retrieved Mon, 29 Apr 2024 04:47:56 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

103

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Testing Mean with unknown Variance - Critical Value] [WS4Q1] [2012-10-08 19:17:27] [0dc5c1971750938a3e6e7850549ef92e]
- RMPD  [One Sample Tests about the Mean] [Q23] [2012-10-08 19:33:40] [0dc5c1971750938a3e6e7850549ef92e]
- RMPD      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Paper Stat 13] [2012-12-13 17:00:11] [df532ced13173cb9c37ecd9ae05d6384] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199326&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199326&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199326&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	3 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Tabulation of Results
A x B
	3	4	5	6	7	8	9
2	0	0	0	0	0	2	0
3	2	0	2	0	2	0	2
4	0	2	0	0	0	0	0
5	0	2	2	0	0	0	2
6	0	0	2	2	0	0	0
8	0	0	0	0	0	2	0

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
A  x  B \tabularnewline
  & 3 & 4 & 5 & 6 & 7 & 8 & 9 \tabularnewline
2 & 0 & 0 & 0 & 0 & 0 & 2 & 0 \tabularnewline
3 & 2 & 0 & 2 & 0 & 2 & 0 & 2 \tabularnewline
4 & 0 & 2 & 0 & 0 & 0 & 0 & 0 \tabularnewline
5 & 0 & 2 & 2 & 0 & 0 & 0 & 2 \tabularnewline
6 & 0 & 0 & 2 & 2 & 0 & 0 & 0 \tabularnewline
8 & 0 & 0 & 0 & 0 & 0 & 2 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199326&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][/ROW]
[C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][/ROW]
[C]3[/C][C]2[/C][C]0[/C][C]2[/C][C]0[/C][C]2[/C][C]0[/C][C]2[/C][/ROW]
[C]4[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]5[/C][C]0[/C][C]2[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][/ROW]
[C]6[/C][C]0[/C][C]0[/C][C]2[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]8[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199326&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199326&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
	3	4	5	6	7	8	9
2	0	0	0	0	0	2	0
3	2	0	2	0	2	0	2
4	0	2	0	0	0	0	0
5	0	2	2	0	0	0	2
6	0	0	2	2	0	0	0
8	0	0	0	0	0	2	0

Tabulation of Expected Results
A x B
	3	4	5	6	7	8	9
2	0.17	0.33	0.5	0.17	0.17	0.33	0.33
3	0.67	1.33	2	0.67	0.67	1.33	1.33
4	0.17	0.33	0.5	0.17	0.17	0.33	0.33
5	0.5	1	1.5	0.5	0.5	1	1
6	0.33	0.67	1	0.33	0.33	0.67	0.67
8	0.17	0.33	0.5	0.17	0.17	0.33	0.33

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
A  x  B \tabularnewline
  & 3 & 4 & 5 & 6 & 7 & 8 & 9 \tabularnewline
2 & 0.17 & 0.33 & 0.5 & 0.17 & 0.17 & 0.33 & 0.33 \tabularnewline
3 & 0.67 & 1.33 & 2 & 0.67 & 0.67 & 1.33 & 1.33 \tabularnewline
4 & 0.17 & 0.33 & 0.5 & 0.17 & 0.17 & 0.33 & 0.33 \tabularnewline
5 & 0.5 & 1 & 1.5 & 0.5 & 0.5 & 1 & 1 \tabularnewline
6 & 0.33 & 0.67 & 1 & 0.33 & 0.33 & 0.67 & 0.67 \tabularnewline
8 & 0.17 & 0.33 & 0.5 & 0.17 & 0.17 & 0.33 & 0.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199326&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][/ROW]
[C]2[/C][C]0.17[/C][C]0.33[/C][C]0.5[/C][C]0.17[/C][C]0.17[/C][C]0.33[/C][C]0.33[/C][/ROW]
[C]3[/C][C]0.67[/C][C]1.33[/C][C]2[/C][C]0.67[/C][C]0.67[/C][C]1.33[/C][C]1.33[/C][/ROW]
[C]4[/C][C]0.17[/C][C]0.33[/C][C]0.5[/C][C]0.17[/C][C]0.17[/C][C]0.33[/C][C]0.33[/C][/ROW]
[C]5[/C][C]0.5[/C][C]1[/C][C]1.5[/C][C]0.5[/C][C]0.5[/C][C]1[/C][C]1[/C][/ROW]
[C]6[/C][C]0.33[/C][C]0.67[/C][C]1[/C][C]0.33[/C][C]0.33[/C][C]0.67[/C][C]0.67[/C][/ROW]
[C]8[/C][C]0.17[/C][C]0.33[/C][C]0.5[/C][C]0.17[/C][C]0.17[/C][C]0.33[/C][C]0.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199326&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199326&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
	3	4	5	6	7	8	9
2	0.17	0.33	0.5	0.17	0.17	0.33	0.33
3	0.67	1.33	2	0.67	0.67	1.33	1.33
4	0.17	0.33	0.5	0.17	0.17	0.33	0.33
5	0.5	1	1.5	0.5	0.5	1	1
6	0.33	0.67	1	0.33	0.33	0.67	0.67
8	0.17	0.33	0.5	0.17	0.17	0.33	0.33

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	55.67
Degrees of Freedom	30
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 55.67 \tabularnewline
Degrees of Freedom & 30 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199326&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]55.67[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]30[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199326&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199326&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	55.67
Degrees of Freedom	30
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = unpaired ; par6 = 0.0 ;

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