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rwasp_chi_squared_tests.wasp

Title produced by software

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

Date of computation

Sat, 19 Jan 2019 20:58:45 +0100

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2019/Jan/19/t154792792930alpgh83sfjcc3.htm/, Retrieved Tue, 07 May 2024 11:53:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316374, Retrieved Tue, 07 May 2024 11:53:27 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2019-01-19 19:58:45] [9172f81d29b60ad7d026eed068ac45c3] [Current]

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'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'B'" "'A'"
'HI' "'LO'" "'A'" "'D'"
'LO' "'LO'" "'D'" "'D'"
'HI' "'HI'" "'A'" "'A'"
'LO' "'HI'" "'C'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'LO' "'HI'" "'D'" "'B'"
'LO' "'HI'" "'C'" "'A'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'HI'" "'B'" "'A'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'LO' "'HI'" "'C'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'B'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'B'" "'A'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'B'" "'D'"
'LO' "'HI'" "'D'" "'A'"
'HI' "'LO'" "'A'" "'D'"
'LO' "'HI'" "'C'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'LO' "'LO'" "'C'" "'D'"
'HI' "'HI'" "'A'" "'A'"
'LO' "'LO'" "'D'" "'C'"
'LO' "'HI'" "'C'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'LO' "'HI'" "'D'" "'A'"
'LO' "'LO'" "'D'" "'D'"
'HI' "'HI'" "'A'" "'B'"
'LO' "'HI'" "'C'" "'A'"
'LO' "'LO'" "'C'" "'C'"
'LO' "'HI'" "'C'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'A'" "'A'"
'LO' "'LO'" "'C'" "'D'"
'LO' "'LO'" "'C'" "'D'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'B'" "'B'"
'HI' "'HI'" "'B'" "'A'"
'HI' "'LO'" "'A'" "'C'"
'HI' "'HI'" "'A'" "'A'"
'LO' "'HI'" "'C'" "'B'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'LO'" "'A'" "'D'"
'LO' "'LO'" "'D'" "'D'"
'LO' "'HI'" "'D'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'B'" "'D'"
'LO' "'LO'" "'C'" "'D'"
'LO' "'LO'" "'D'" "'D'"
'HI' "'LO'" "'A'" "'C'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'HI'" "'B'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'LO'" "'B'" "'D'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'LO' "'HI'" "'D'" "'B'"
'HI' "'HI'" "'B'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'A'" "'C'"
'LO' "'LO'" "'D'" "'D'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'LO'" "'B'" "'C'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'A'" "'C'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'B'" "'B'"
'LO' "'HI'" "'C'" "'B'"
'LO' "'HI'" "'D'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'A'" "'C'"
'HI' "'LO'" "'A'" "'D'"
'LO' "'HI'" "'D'" "'A'"
'HI' "'LO'" "'A'" "'C'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'A'" "'C'"
'LO' "'HI'" "'C'" "'A'"
'HI' "'LO'" "'A'" "'D'"
'LO' "'HI'" "'D'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'LO' "'HI'" "'C'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'LO'" "'B'" "'D'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'LO'" "'B'" "'D'"
'HI' "'HI'" "'B'" "'B'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'B'" "'D'"
'LO' "'LO'" "'D'" "'D'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'LO'" "'B'" "'C'"
'HI' "'HI'" "'B'" "'B'"
'LO' "'HI'" "'C'" "'A'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'LO' "'HI'" "'D'" "'B'"
'HI' "'HI'" "'B'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'B'" "'D'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'LO'" "'A'" "'C'"
'LO' "'HI'" "'C'" "'A'"
'HI' "'HI'" "'B'" "'A'"
'LO' "'HI'" "'D'" "'A'"
'HI' "'HI'" "'B'" "'B'"
'LO' "'LO'" "'C'" "'C'"
'HI' "'LO'" "'B'" "'D'"
'LO' "'HI'" "'D'" "'B'"
'HI' "'HI'" "'B'" "'B'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'A'" "'A'"
'LO' "'LO'" "'D'" "'D'"
'HI' "'HI'" "'B'" "'B'"
'LO' "'LO'" "'C'" "'D'"
'LO' "'HI'" "'D'" "'B'"
'LO' "'LO'" "'D'" "'C'"
'LO' "'HI'" "'D'" "'B'"
'LO' "'HI'" "'D'" "'A'"
'HI' "'HI'" "'A'" "'B'"
'HI' "'HI'" "'B'" "'B'"
'LO' "'HI'" "'D'" "'A'"
'HI' "'HI'" "'A'" "'A'"
'HI' "'LO'" "'A'" "'D'"
'HI' "'LO'" "'A'" "'D'"
'LO' "'LO'" "'D'" "'D'"
'LO' "'HI'" "'D'" "'A'"
'HI' "'LO'" "'A'" "'C'"
'LO' "'HI'" "'D'" "'A'"
'LO' "'LO'" "'D'" "'D'"
'LO' "'LO'" "'D'" "'D'"
'LO' "'LO'" "'D'" "'C'"
'HI' "'LO'" "'A'" "'C'"
'LO' "'HI'" "'D'" "'B'"
'LO' "'HI'" "'D'" "'A'"
'HI' "'LO'" "'B'" "'C'"
'LO' "'LO'" "'D'" "'D'"
'LO' "'LO'" "'D'" "'C'"

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	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316374&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

2 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316374&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316374&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	Big Analytics Cloud Computing Center

Tabulation of Results
Software2 x Happiness4
	'A'	'B'	'C'	'D'
HI	26	45	13	24
LO	17	15	6	16

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Software2  x  Happiness4 \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
HI & 26 & 45 & 13 & 24 \tabularnewline
LO & 17 & 15 & 6 & 16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316374&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Software2  x  Happiness4[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]HI[/C][C]26[/C][C]45[/C][C]13[/C][C]24[/C][/ROW]
[C]LO[/C][C]17[/C][C]15[/C][C]6[/C][C]16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316374&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316374&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
Software2 x Happiness4
	'A'	'B'	'C'	'D'
HI	26	45	13	24
LO	17	15	6	16

Tabulation of Expected Results
Software2 x Happiness4
	'A'	'B'	'C'	'D'
HI	28.67	40	12.67	26.67
LO	14.33	20	6.33	13.33

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Software2  x  Happiness4 \tabularnewline
  & 'A' & 'B' & 'C' & 'D' \tabularnewline
HI & 28.67 & 40 & 12.67 & 26.67 \tabularnewline
LO & 14.33 & 20 & 6.33 & 13.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316374&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Software2  x  Happiness4[/C][/ROW]
[ROW][C] [/C][C]'A'[/C][C]'B'[/C][C]'C'[/C][C]'D'[/C][/ROW]
[C]HI[/C][C]28.67[/C][C]40[/C][C]12.67[/C][C]26.67[/C][/ROW]
[C]LO[/C][C]14.33[/C][C]20[/C][C]6.33[/C][C]13.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316374&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316374&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
Software2 x Happiness4
	'A'	'B'	'C'	'D'
HI	28.67	40	12.67	26.67
LO	14.33	20	6.33	13.33

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	3.45
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 & 3.45 \tabularnewline
P value & 0.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316374&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]3.45[/C][/ROW]
[ROW][C]P value[/C][C]0.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316374&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316374&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	3.45
P value	0.33

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = grey ; par2 = no ;

Parameters (R input):

par1 = 1 ; par2 = 4 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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

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Input Parameters & R Code