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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

Thu, 18 Dec 2014 20:04:11 +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/18/t1418933080r71yqiankel7763.htm/, Retrieved Fri, 17 May 2024 17:26:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271265, Retrieved Fri, 17 May 2024 17:26:45 +0000

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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]
-   PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [chi] [2014-12-18 20:04:11] [88f8137dd67cdcd531568536dca46410] [Current]

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'C' "'B'"
'B' "'B'"
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'A' "'C'"
'D' "'C'"
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'C' "'D'"
'B' "'C'"
'C' "'D'"
'C' "'B'"
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'B' "'D'"
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'C' "'D'"
'A' "'D'"
'C' "'D'"
'C' "'D'"
'B' "'D'"
'A' "'C'"
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'D' "'D'"
'A' "'C'"
'A' "'B'"
'B' "'D'"
'D' "'D'"
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'C' "'D'"
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'B' "'C'"
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'C' "'D'"
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'B' "'D'"
'A' "'B'"
'D' "'A'"
'A' "'D'"
'A' "'C'"
'B' "'D'"
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'A' "'C'"
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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	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=271265&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=271265&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271265&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
NUMERACYTOT x TOTAAL
	'A'	'B'	'C'	'D'
A	1	17	33	14
B	1	14	42	21
C	1	14	39	19
D	1	6	30	25

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
NUMERACYTOT  x  TOTAAL \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 1 & 17 & 33 & 14 \tabularnewline
B & 1 & 14 & 42 & 21 \tabularnewline
C & 1 & 14 & 39 & 19 \tabularnewline
D & 1 & 6 & 30 & 25 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271265&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]NUMERACYTOT  x  TOTAAL[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]1[/C][C]17[/C][C]33[/C][C]14[/C][/ROW]
[C]B[/C][C]1[/C][C]14[/C][C]42[/C][C]21[/C][/ROW]
[C]C[/C][C]1[/C][C]14[/C][C]39[/C][C]19[/C][/ROW]
[C]D[/C][C]1[/C][C]6[/C][C]30[/C][C]25[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271265&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271265&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
NUMERACYTOT x TOTAAL
	'A'	'B'	'C'	'D'
A	1	17	33	14
B	1	14	42	21
C	1	14	39	19
D	1	6	30	25

Tabulation of Expected Results
NUMERACYTOT x TOTAAL
	'A'	'B'	'C'	'D'
A	0.94	11.92	33.67	18.47
B	1.12	14.31	40.4	22.17
C	1.05	13.39	37.81	20.74
D	0.89	11.37	32.12	17.62

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
NUMERACYTOT  x  TOTAAL \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
A & 0.94 & 11.92 & 33.67 & 18.47 \tabularnewline
B & 1.12 & 14.31 & 40.4 & 22.17 \tabularnewline
C & 1.05 & 13.39 & 37.81 & 20.74 \tabularnewline
D & 0.89 & 11.37 & 32.12 & 17.62 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271265&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]NUMERACYTOT  x  TOTAAL[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]0.94[/C][C]11.92[/C][C]33.67[/C][C]18.47[/C][/ROW]
[C]B[/C][C]1.12[/C][C]14.31[/C][C]40.4[/C][C]22.17[/C][/ROW]
[C]C[/C][C]1.05[/C][C]13.39[/C][C]37.81[/C][C]20.74[/C][/ROW]
[C]D[/C][C]0.89[/C][C]11.37[/C][C]32.12[/C][C]17.62[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271265&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271265&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
NUMERACYTOT x TOTAAL
	'A'	'B'	'C'	'D'
A	0.94	11.92	33.67	18.47
B	1.12	14.31	40.4	22.17
C	1.05	13.39	37.81	20.74
D	0.89	11.37	32.12	17.62

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	9.4
Degrees of Freedom	9
P value	0.4

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 9.4 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271265&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]9.4[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271265&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271265&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	9.4
Degrees of Freedom	9
P value	0.4

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 0 ; par2 = 0 ;

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code