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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

Wed, 17 Dec 2014 13:42:29 +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/17/t1418823770kugkz7gjfhscf4a.htm/, Retrieved Thu, 16 May 2024 10:22:01 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270250, Retrieved Thu, 16 May 2024 10:22:01 +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)

-     [Paired and Unpaired Two Samples Tests about the Mean] [] [2010-11-01 13:07:12] [b98453cac15ba1066b407e146608df68]
- RMP   [Paired and Unpaired Two Samples Tests about the Mean] [] [2014-10-21 07:47:40] [32b17a345b130fdf5cc88718ed94a974]
- R PD    [Paired and Unpaired Two Samples Tests about the Mean] [Two Sample T test I] [2014-12-10 10:29:02] [fa1b8827d7de91b8b87087311d3d9fa1]
- RM D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Demotivatie-totaal] [2014-12-10 14:21:38] [fa1b8827d7de91b8b87087311d3d9fa1]
- R PD          [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi kwadraat] [2014-12-17 13:42:29] [cbcdb86aef42c1c3276d52a1b1545a9c] [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	2 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270250&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]2 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=270250&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270250&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	2 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Tabulation of Results
TOT x NUMERACY
	'A'	'B'	'C'	'D'
A	17	14	22	17
B	12	20	13	22
C	16	14	21	24
D	8	12	13	33

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
TOT  x  NUMERACY \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 17 & 14 & 22 & 17 \tabularnewline
B & 12 & 20 & 13 & 22 \tabularnewline
C & 16 & 14 & 21 & 24 \tabularnewline
D & 8 & 12 & 13 & 33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270250&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]TOT  x  NUMERACY[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]17[/C][C]14[/C][C]22[/C][C]17[/C][/ROW]
[C]B[/C][C]12[/C][C]20[/C][C]13[/C][C]22[/C][/ROW]
[C]C[/C][C]16[/C][C]14[/C][C]21[/C][C]24[/C][/ROW]
[C]D[/C][C]8[/C][C]12[/C][C]13[/C][C]33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270250&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270250&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
TOT x NUMERACY
	'A'	'B'	'C'	'D'
A	17	14	22	17
B	12	20	13	22
C	16	14	21	24
D	8	12	13	33

Tabulation of Expected Results
TOT x NUMERACY
	'A'	'B'	'C'	'D'
A	13.35	15.11	17.37	24.17
B	12.77	14.46	16.63	23.14
C	14.3	16.19	18.62	25.9
D	12.58	14.24	16.38	22.79

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
TOT  x  NUMERACY \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 13.35 & 15.11 & 17.37 & 24.17 \tabularnewline
B & 12.77 & 14.46 & 16.63 & 23.14 \tabularnewline
C & 14.3 & 16.19 & 18.62 & 25.9 \tabularnewline
D & 12.58 & 14.24 & 16.38 & 22.79 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270250&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]TOT  x  NUMERACY[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]13.35[/C][C]15.11[/C][C]17.37[/C][C]24.17[/C][/ROW]
[C]B[/C][C]12.77[/C][C]14.46[/C][C]16.63[/C][C]23.14[/C][/ROW]
[C]C[/C][C]14.3[/C][C]16.19[/C][C]18.62[/C][C]25.9[/C][/ROW]
[C]D[/C][C]12.58[/C][C]14.24[/C][C]16.38[/C][C]22.79[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270250&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270250&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
TOT x NUMERACY
	'A'	'B'	'C'	'D'
A	13.35	15.11	17.37	24.17
B	12.77	14.46	16.63	23.14
C	14.3	16.19	18.62	25.9
D	12.58	14.24	16.38	22.79

Statistical Results
Pearson's Chi-squared test
15.7
Degrees of Freedom	9
P value	0.07

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
15.7 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.07 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270250&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]15.7[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.07[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270250&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270250&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
15.7
Degrees of Freedom	9
P value	0.07

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = 0.95 ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = 0.95 ;

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code