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rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Thu, 11 Dec 2014 22:28:48 +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/11/t14183369505gip288vbmm3j9n.htm/, Retrieved Thu, 16 May 2024 16:36:38 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266396, Retrieved Thu, 16 May 2024 16:36:38 +0000

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-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-11 14:46:08] [2add28fdfb91c9297fa0715b27e01e1f]
- R PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-11 22:28:48] [921bde233b8ec180d9061abb09deed53] [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	'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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266396&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266396&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266396&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Tabulation of Results
I3 x CC
	'B'	'C'	'D'	'E'
'A'	1	1	6	0
'B'	6	12	24	4
'C'	6	19	50	4
'D'	1	22	53	4
'E'	3	8	38	5
'F'	2	0	4	4
'G'	0	0	1	1

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
I3  x  CC \tabularnewline
  & 'B' & 'C' & 'D' & 'E' \tabularnewline
'A' & 1 & 1 & 6 & 0 \tabularnewline
'B' & 6 & 12 & 24 & 4 \tabularnewline
'C' & 6 & 19 & 50 & 4 \tabularnewline
'D' & 1 & 22 & 53 & 4 \tabularnewline
'E' & 3 & 8 & 38 & 5 \tabularnewline
'F' & 2 & 0 & 4 & 4 \tabularnewline
'G' & 0 & 0 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266396&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]I3  x  CC[/C][/ROW]
[ROW][C] [/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][C]'E'[/C][/ROW]
[C]'A'[/C][C]1[/C][C]1[/C][C]6[/C][C]0[/C][/ROW]
[C]'B'[/C][C]6[/C][C]12[/C][C]24[/C][C]4[/C][/ROW]
[C]'C'[/C][C]6[/C][C]19[/C][C]50[/C][C]4[/C][/ROW]
[C]'D'[/C][C]1[/C][C]22[/C][C]53[/C][C]4[/C][/ROW]
[C]'E'[/C][C]3[/C][C]8[/C][C]38[/C][C]5[/C][/ROW]
[C]'F'[/C][C]2[/C][C]0[/C][C]4[/C][C]4[/C][/ROW]
[C]'G'[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266396&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266396&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
I3 x CC
	'B'	'C'	'D'	'E'
'A'	1	1	6	0
'B'	6	12	24	4
'C'	6	19	50	4
'D'	1	22	53	4
'E'	3	8	38	5
'F'	2	0	4	4
'G'	0	0	1	1

Tabulation of Expected Results
I3 x CC
	'B'	'C'	'D'	'E'
'A'	0.54	1.78	5.05	0.63
'B'	3.13	10.22	29.02	3.63
'C'	5.38	17.56	49.84	6.23
'D'	5.45	17.78	50.47	6.31
'E'	3.68	12	34.06	4.26
'F'	0.68	2.22	6.31	0.79
'G'	0.14	0.44	1.26	0.16

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
I3  x  CC \tabularnewline
  & 'B' & 'C' & 'D' & 'E' \tabularnewline
'A' & 0.54 & 1.78 & 5.05 & 0.63 \tabularnewline
'B' & 3.13 & 10.22 & 29.02 & 3.63 \tabularnewline
'C' & 5.38 & 17.56 & 49.84 & 6.23 \tabularnewline
'D' & 5.45 & 17.78 & 50.47 & 6.31 \tabularnewline
'E' & 3.68 & 12 & 34.06 & 4.26 \tabularnewline
'F' & 0.68 & 2.22 & 6.31 & 0.79 \tabularnewline
'G' & 0.14 & 0.44 & 1.26 & 0.16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266396&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]I3  x  CC[/C][/ROW]
[ROW][C] [/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][C]'E'[/C][/ROW]
[C]'A'[/C][C]0.54[/C][C]1.78[/C][C]5.05[/C][C]0.63[/C][/ROW]
[C]'B'[/C][C]3.13[/C][C]10.22[/C][C]29.02[/C][C]3.63[/C][/ROW]
[C]'C'[/C][C]5.38[/C][C]17.56[/C][C]49.84[/C][C]6.23[/C][/ROW]
[C]'D'[/C][C]5.45[/C][C]17.78[/C][C]50.47[/C][C]6.31[/C][/ROW]
[C]'E'[/C][C]3.68[/C][C]12[/C][C]34.06[/C][C]4.26[/C][/ROW]
[C]'F'[/C][C]0.68[/C][C]2.22[/C][C]6.31[/C][C]0.79[/C][/ROW]
[C]'G'[/C][C]0.14[/C][C]0.44[/C][C]1.26[/C][C]0.16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266396&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266396&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
I3 x CC
	'B'	'C'	'D'	'E'
'A'	0.54	1.78	5.05	0.63
'B'	3.13	10.22	29.02	3.63
'C'	5.38	17.56	49.84	6.23
'D'	5.45	17.78	50.47	6.31
'E'	3.68	12	34.06	4.26
'F'	0.68	2.22	6.31	0.79
'G'	0.14	0.44	1.26	0.16

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	37.84
Degrees of Freedom	18
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 37.84 \tabularnewline
Degrees of Freedom & 18 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266396&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]37.84[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]18[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266396&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266396&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	37.84
Degrees of Freedom	18
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 3 ; par2 = 7 ; 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