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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

Mon, 15 Dec 2014 14:58:59 +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/15/t14186555562t6pb22li35rt5h.htm/, Retrieved Thu, 16 May 2024 12:27:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=268573, Retrieved Thu, 16 May 2024 12:27:40 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-15 14:58:59] [003c997d057e54927bd887526d955d96] [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	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=268573&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=268573&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268573&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
Score_propor_and_ratio x Score_Estimation
	'A'	'B'	'D'
A	28	17	31
B	10	16	30
C	10	38	53
D	5	9	32

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Score_propor_and_ratio  x  Score_Estimation \tabularnewline
  & 'A' & 'B' & 'D' \tabularnewline
A & 28 & 17 & 31 \tabularnewline
B & 10 & 16 & 30 \tabularnewline
C & 10 & 38 & 53 \tabularnewline
D & 5 & 9 & 32 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268573&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Score_propor_and_ratio  x  Score_Estimation[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]28[/C][C]17[/C][C]31[/C][/ROW]
[C]B[/C][C]10[/C][C]16[/C][C]30[/C][/ROW]
[C]C[/C][C]10[/C][C]38[/C][C]53[/C][/ROW]
[C]D[/C][C]5[/C][C]9[/C][C]32[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268573&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268573&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
Score_propor_and_ratio x Score_Estimation
	'A'	'B'	'D'
A	28	17	31
B	10	16	30
C	10	38	53
D	5	9	32

Tabulation of Expected Results
Score_propor_and_ratio x Score_Estimation
	'A'	'B'	'D'
A	14.44	21.79	39.77
B	10.64	16.06	29.3
C	19.19	28.96	52.85
D	8.74	13.19	24.07

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Score_propor_and_ratio  x  Score_Estimation \tabularnewline
  & 'A' & 'B' & 'D' \tabularnewline
A & 14.44 & 21.79 & 39.77 \tabularnewline
B & 10.64 & 16.06 & 29.3 \tabularnewline
C & 19.19 & 28.96 & 52.85 \tabularnewline
D & 8.74 & 13.19 & 24.07 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268573&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Score_propor_and_ratio  x  Score_Estimation[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'D'[/C][/ROW]
[C]A[/C][C]14.44[/C][C]21.79[/C][C]39.77[/C][/ROW]
[C]B[/C][C]10.64[/C][C]16.06[/C][C]29.3[/C][/ROW]
[C]C[/C][C]19.19[/C][C]28.96[/C][C]52.85[/C][/ROW]
[C]D[/C][C]8.74[/C][C]13.19[/C][C]24.07[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268573&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268573&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
Score_propor_and_ratio x Score_Estimation
	'A'	'B'	'D'
A	14.44	21.79	39.77
B	10.64	16.06	29.3
C	19.19	28.96	52.85
D	8.74	13.19	24.07

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	28.55
Degrees of Freedom	6
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 28.55 \tabularnewline
Degrees of Freedom & 6 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=268573&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]28.55[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]6[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=268573&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=268573&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	28.55
Degrees of Freedom	6
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;

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