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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

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

Date of computation

Wed, 10 Dec 2014 21:34:58 +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/10/t1418247356ks1tvx7pkmvy2cc.htm/, Retrieved Wed, 29 May 2024 04:51:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265633, Retrieved Wed, 29 May 2024 04:51:16 +0000

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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] [] [2014-12-10 21:34:58] [18673d63f90870b9c004059cd6229007] [Current]

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

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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265633&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265633&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265633&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	'George Udny Yule' @ yule.wessa.net

Tabulation of Results
LFM_S x EX_S
	'A'	'B'	'C'	'D'
A	23	14	20	12
B	14	5	13	5
C	1	6	9	6
D	3	2	4	5

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
LFM_S  x  EX_S \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 23 & 14 & 20 & 12 \tabularnewline
B & 14 & 5 & 13 & 5 \tabularnewline
C & 1 & 6 & 9 & 6 \tabularnewline
D & 3 & 2 & 4 & 5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265633&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]LFM_S  x  EX_S[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]23[/C][C]14[/C][C]20[/C][C]12[/C][/ROW]
[C]B[/C][C]14[/C][C]5[/C][C]13[/C][C]5[/C][/ROW]
[C]C[/C][C]1[/C][C]6[/C][C]9[/C][C]6[/C][/ROW]
[C]D[/C][C]3[/C][C]2[/C][C]4[/C][C]5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265633&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265633&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
LFM_S x EX_S
	'A'	'B'	'C'	'D'
A	23	14	20	12
B	14	5	13	5
C	1	6	9	6
D	3	2	4	5

Tabulation of Expected Results
LFM_S x EX_S
	'A'	'B'	'C'	'D'
A	19.92	13.12	22.35	13.61
B	10.68	7.04	11.99	7.3
C	6.35	4.18	7.13	4.34
D	4.04	2.66	4.54	2.76

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
LFM_S  x  EX_S \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 19.92 & 13.12 & 22.35 & 13.61 \tabularnewline
B & 10.68 & 7.04 & 11.99 & 7.3 \tabularnewline
C & 6.35 & 4.18 & 7.13 & 4.34 \tabularnewline
D & 4.04 & 2.66 & 4.54 & 2.76 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265633&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]LFM_S  x  EX_S[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]19.92[/C][C]13.12[/C][C]22.35[/C][C]13.61[/C][/ROW]
[C]B[/C][C]10.68[/C][C]7.04[/C][C]11.99[/C][C]7.3[/C][/ROW]
[C]C[/C][C]6.35[/C][C]4.18[/C][C]7.13[/C][C]4.34[/C][/ROW]
[C]D[/C][C]4.04[/C][C]2.66[/C][C]4.54[/C][C]2.76[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265633&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265633&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
LFM_S x EX_S
	'A'	'B'	'C'	'D'
A	19.92	13.12	22.35	13.61
B	10.68	7.04	11.99	7.3
C	6.35	4.18	7.13	4.34
D	4.04	2.66	4.54	2.76

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	12.14
P value	0.2

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Exact Pearson Chi Square Statistic & 12.14 \tabularnewline
P value & 0.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265633&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Exact Pearson Chi Square Statistic[/C][C]12.14[/C][/ROW]
[ROW][C]P value[/C][C]0.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265633&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265633&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 with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	12.14
P value	0.2

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = FALSE ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 1 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

R code (references can be found in the software module):

par3 <- 'Pearson Chi-Squared'
par2 <- '2'
par1 <- '1'
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')

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Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code