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Title produced by software

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

Date of computation

Sun, 14 Dec 2014 20:51:28 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/14/t1418590295eb5oqnfk8l020x0.htm/, Retrieved Thu, 16 May 2024 16:44:32 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267867, Retrieved Thu, 16 May 2024 16:44:32 +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 and McNemar Tests] [] [2010-11-16 15:17:18] [b98453cac15ba1066b407e146608df68]
- RM    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [q1] [2014-11-05 13:43:53] [2568c9326b0361ae14a2b722dbd6de4e]
- R PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [graphic interpr q...] [2014-12-09 11:44:48] [2568c9326b0361ae14a2b722dbd6de4e]
- RM D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 20:51:28] [1e9ea55ca500335a50defe307678d583] [Current]

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Boxplots

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

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	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267867&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267867&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267867&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	'Gertrude Mary Cox' @ cox.wessa.net

Tabulation of Results
graphical_interpretation_quartile x Total_quartile
	'A'	'B'	'C'	'D'
A	62	99	29	3
B	8	26	13	0
C	5	11	5	1
D	4	8	4	0

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
graphical_interpretation_quartile  x  Total_quartile \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 62 & 99 & 29 & 3 \tabularnewline
B & 8 & 26 & 13 & 0 \tabularnewline
C & 5 & 11 & 5 & 1 \tabularnewline
D & 4 & 8 & 4 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267867&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]graphical_interpretation_quartile  x  Total_quartile[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]62[/C][C]99[/C][C]29[/C][C]3[/C][/ROW]
[C]B[/C][C]8[/C][C]26[/C][C]13[/C][C]0[/C][/ROW]
[C]C[/C][C]5[/C][C]11[/C][C]5[/C][C]1[/C][/ROW]
[C]D[/C][C]4[/C][C]8[/C][C]4[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267867&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267867&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
graphical_interpretation_quartile x Total_quartile
	'A'	'B'	'C'	'D'
A	62	99	29	3
B	8	26	13	0
C	5	11	5	1
D	4	8	4	0

Tabulation of Expected Results
graphical_interpretation_quartile x Total_quartile
	'A'	'B'	'C'	'D'
A	54.85	99.97	35.41	2.78
B	13.36	24.35	8.62	0.68
C	6.25	11.4	4.04	0.32
D	4.55	8.29	2.94	0.23

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
graphical_interpretation_quartile  x  Total_quartile \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 54.85 & 99.97 & 35.41 & 2.78 \tabularnewline
B & 13.36 & 24.35 & 8.62 & 0.68 \tabularnewline
C & 6.25 & 11.4 & 4.04 & 0.32 \tabularnewline
D & 4.55 & 8.29 & 2.94 & 0.23 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267867&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]graphical_interpretation_quartile  x  Total_quartile[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]54.85[/C][C]99.97[/C][C]35.41[/C][C]2.78[/C][/ROW]
[C]B[/C][C]13.36[/C][C]24.35[/C][C]8.62[/C][C]0.68[/C][/ROW]
[C]C[/C][C]6.25[/C][C]11.4[/C][C]4.04[/C][C]0.32[/C][/ROW]
[C]D[/C][C]4.55[/C][C]8.29[/C][C]2.94[/C][C]0.23[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267867&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267867&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
graphical_interpretation_quartile x Total_quartile
	'A'	'B'	'C'	'D'
A	54.85	99.97	35.41	2.78
B	13.36	24.35	8.62	0.68
C	6.25	11.4	4.04	0.32
D	4.55	8.29	2.94	0.23

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	9.94
P value	0.33

\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 & 9.94 \tabularnewline
P value & 0.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267867&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]9.94[/C][/ROW]
[ROW][C]P value[/C][C]0.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267867&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267867&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	9.94
P value	0.33

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;

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