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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, 15 Dec 2014 17:36:06 +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/15/t1418664987amjfh08wpjo89e5.htm/, Retrieved Thu, 31 Oct 2024 22:47:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268791, Retrieved Thu, 31 Oct 2024 22:47:49 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

115

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 test] [2014-11-02 11:21:00] [5c51c91cab622bcf955f01721b682696]
- R  D  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:26:49] [e493208d2907342b139e6792bbaea494]
-    D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:30:24] [e493208d2907342b139e6792bbaea494]
-    D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:36:06] [04df4205f362f56e0d1a9032a00a5d3d] [Current]
-    D          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:38:19] [e493208d2907342b139e6792bbaea494] 
-    D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:39:21] [e493208d2907342b139e6792bbaea494] 
-    D              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 17:40:38] [e493208d2907342b139e6792bbaea494] 
-    D                [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:43:34] [e493208d2907342b139e6792bbaea494] 
-    D                  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:53:25] [e493208d2907342b139e6792bbaea494] 
-    D                    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:54:41] [e493208d2907342b139e6792bbaea494] 
-    D                      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:55:52] [e493208d2907342b139e6792bbaea494] 
-    D                        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:56:38] [e493208d2907342b139e6792bbaea494] 
-    D                          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 18:59:28] [e493208d2907342b139e6792bbaea494] 
-    D                            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:00:52] [e493208d2907342b139e6792bbaea494] 
-    D                              [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:02:37] [e493208d2907342b139e6792bbaea494] 
-    D                                [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:03:31] [e493208d2907342b139e6792bbaea494] 
-    D                                  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:04:30] [e493208d2907342b139e6792bbaea494] 
-    D                                    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:05:26] [e493208d2907342b139e6792bbaea494] 
-    D                                      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:06:29] [e493208d2907342b139e6792bbaea494] 
-    D                                        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:07:30] [e493208d2907342b139e6792bbaea494] 
-    D                                          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:08:04] [e493208d2907342b139e6792bbaea494] 
-    D                                            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 19:09:03] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:09:28] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:11:33] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:13:06] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:13:57] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:15:16] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:15:51] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:16:53] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:17:25] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:18:14] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:18:39] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:19:31] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:19:53] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:20:45] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:21:15] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:21:58] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:22:20] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Central Tendency] [] [2014-12-15 20:23:02] [e493208d2907342b139e6792bbaea494] 
- RM D                                            [Skewness and Kurtosis Test] [] [2014-12-15 20:23:28] [e493208d2907342b139e6792bbaea494] 

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Dataseries X:

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Boxplots

'C'	'D'
'D'	'B'
'D'	'D'
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'D'	'D'
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'B'	'C'
'C'	'B'
'D'	'A'
'B'	'B'
'D'	'D'
'D'	'C'
'D'	'C'
'D'	'A'
'D'	'B'
'D'	'B'
'C'	'C'
'D'	'C'
'D'	'D'
'C'	'B'
'C'	'D'
'C'	'C'
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'C'	'C'
'D'	'C'
'C'	'B'
'C'	'C'
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'B'	'C'
'D'	'B'
'A'	'B'
'D'	'D'
'C'	'B'
'B'	'C'
'B'	'D'
'D'	'C'
'A'	'D'
'C'	'D'
'D'	'C'
'D'	'D'
'C'	'C'
'C'	'D'
'B'	'D'
'D'	'D'
'D'	'D'
'D'	'C'
'D'	'C'
'C'	'D'
'B'	'D'
'D'	'D'
'C'	'D'
'D'	'D'
'D'	'D'
'B'	'C'
'C'	'D'
'D'	'D'
'B'	'B'
'A'	'A'
'A'	'A'
'B'	'D'
'B'	'A'
'B'	'A'
'A'	'C'
'D'	'A'
'C'	'A'
'B'	'A'
'C'	'A'
'A'	'A'
'B'	'C'
'B'	'C'
'B'	'B'
'B'	'A'
'B'	'B'
'C'	'A'
'A'	'A'
'D'	'B'
'B'	'A'
'C'	'D'
'A'	'D'
'C'	'B'
'A'	'A'
'C'	'B'
'A'	'A'
'A'	'A'
'A'	'A'
'A'	'B'
'B'	'A'
'A'	'A'
'A'	'A'
'A'	'C'
'C'	'D'
'A'	'D'
'B'	'A'
'B'	'B'
'B'	'A'
'B'	'A'
'A'	'A'
'C'	'A'
'B'	'B'
'A'	'A'
'D'	'C'
'C'	'B'
'C'	'C'
'A'	'B'
'D'	'D'
'A'	'A'
'A'	'A'
'B'	'B'
'C'	'C'
'D'	'A'
'A'	'C'
'B'	'B'
'A'	'A'
'B'	'D'
'B'	'B'
'C'	'B'
'A'	'B'
'A'	'A'
'B'	'C'
'C'	'C'
'C'	'D'
'A'	'B'
'A'	'A'
'B'	'C'
'D'	'B'
'D'	'C'
'D'	'C'
'D'	'A'
'C'	'A'
'C'	'C'
'B'	'C'
'A'	'C'
'C'	'C'
'B'	'A'
'C'	'C'
'C'	'B'
'D'	'C'
'A'	'A'
'C'	'B'
'D'	'D'
'D'	'D'
'C'	'D'
'D'	'B'
'B'	'C'
'B'	'B'
'A'	'C'
'C'	'D'
'C'	'D'
'B'	'B'
'C'	'D'

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	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268791&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268791&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268791&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Tabulation of Results
Ex x B
	A	B	C	D
A	18	5	6	3
B	10	12	10	5
C	6	14	12	17
D	7	9	13	16

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Ex  x  B \tabularnewline
  & A & B & C & D \tabularnewline
A & 18 & 5 & 6 & 3 \tabularnewline
B & 10 & 12 & 10 & 5 \tabularnewline
C & 6 & 14 & 12 & 17 \tabularnewline
D & 7 & 9 & 13 & 16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268791&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Ex  x  B[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]18[/C][C]5[/C][C]6[/C][C]3[/C][/ROW]
[C]B[/C][C]10[/C][C]12[/C][C]10[/C][C]5[/C][/ROW]
[C]C[/C][C]6[/C][C]14[/C][C]12[/C][C]17[/C][/ROW]
[C]D[/C][C]7[/C][C]9[/C][C]13[/C][C]16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268791&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268791&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
Ex x B
	A	B	C	D
A	18	5	6	3
B	10	12	10	5
C	6	14	12	17
D	7	9	13	16

Tabulation of Expected Results
Ex x B
	A	B	C	D
A	8.05	7.85	8.05	8.05
B	9.31	9.08	9.31	9.31
C	12.33	12.02	12.33	12.33
D	11.32	11.04	11.32	11.32

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Ex  x  B \tabularnewline
  & A & B & C & D \tabularnewline
A & 8.05 & 7.85 & 8.05 & 8.05 \tabularnewline
B & 9.31 & 9.08 & 9.31 & 9.31 \tabularnewline
C & 12.33 & 12.02 & 12.33 & 12.33 \tabularnewline
D & 11.32 & 11.04 & 11.32 & 11.32 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268791&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Ex  x  B[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]8.05[/C][C]7.85[/C][C]8.05[/C][C]8.05[/C][/ROW]
[C]B[/C][C]9.31[/C][C]9.08[/C][C]9.31[/C][C]9.31[/C][/ROW]
[C]C[/C][C]12.33[/C][C]12.02[/C][C]12.33[/C][C]12.33[/C][/ROW]
[C]D[/C][C]11.32[/C][C]11.04[/C][C]11.32[/C][C]11.32[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268791&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268791&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
Ex x B
	A	B	C	D
A	8.05	7.85	8.05	8.05
B	9.31	9.08	9.31	9.31
C	12.33	12.02	12.33	12.33
D	11.32	11.04	11.32	11.32

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	29.63
Degrees of Freedom	9
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 29.63 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268791&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]29.63[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268791&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268791&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	29.63
Degrees of Freedom	9
P value	0

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