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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

Wed, 19 Dec 2018 17:16:22 +0100

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/2018/Dec/19/t1545236234wka9ogapi2q43i3.htm/, Retrieved Fri, 01 Nov 2024 00:05:52 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316107, Retrieved Fri, 01 Nov 2024 00:05:52 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2018-12-19 16:16:22] [9d79f2b779a9aee663331df09de9507a] [Current]

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Dataseries X:

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Histogram

Boxplots

'S' 10
'S' 8
'S' 8
'S' 9
'S' 5
'S' 10
'S' 8
'S' 9
'S' 8
'S' 7
'S' 10
'S' 10
'S' 9
'S' 4
'S' 4
'S' 8
'S' 9
'S' 10
'S' 8
'S' 5
'S' 10
'S' 8
'S' 7
'S' 8
'S' 8
'S' 9
'S' 8
'S' 6
'S' 8
'S' 8
'B' 5
'S' 9
'S' 8
'S' 8
'S' 8
'S' 6
'S' 6
'S' 9
'S' 8
'S' 9
'S' 10
'B' 8
'S' 8
'S' 7
'S' 7
'S' 10
'S' 8
'S' 7
'S' 10
'S' 7
'S' 7
'S' 9
'S' 9
'S' 8
'S' 6
'S' 8
'S' 9
'B' 2
'S' 6
'S' 8
'B' 8
'B' 7
'S' 8
'S' 6
'S' 10
'S' 10
'S' 10
'S' 8
'S' 8
'S' 7
'S' 10
'B' 5
'B' 3
'B' 2
'B' 3
'B' 4
'B' 2
'B' 6
'S' 8
'S' 8
'B' 5
'S' 10
'S' 9
'S' 8
'S' 9
'S' 8
'S' 5
'S' 7
'S' 9
'S' 8
'S' 4
'S' 7
'S' 8
'S' 7
'S' 7
'S' 9
'S' 6
'S' 7
'S' 4
'S' 6
'S' 10
'S' 9
'S' 10
'S' 8
'B' 4
'S' 8
'S' 5
'B' 8
'B' 9
'S' 8
'S' 4
'S' 8
'S' 10
'S' 6
'S' 7
'S' 10
'S' 9
'S' 8
'B' 3
'S' 8
'S' 7
'S' 7
'S' 8
'S' 8
'S' 7
'B' 7
'S' 9
'B' 9
'S' 9
'B' 4
'S' 6
'S' 6
'B' 6
'S' 8
'B' 3
'B' 8
'B' 8
'B' 6
'S' 10
'B' 2
'B' 9
'B' 6
'B' 6
'B' 5
'B' 4
'S' 7
'B' 5
'B' 8
'B' 6
'B' 9
'S' 6
'B' 4
'B' 7
'B' 2
'S' 8
'S' 9
'S' 6
'B' 5
'B' 7
'S' 8
'S' 4
'B' 9
'S' 9
'B' 9
'B' 7
'S' 5
'B' 7
'S' 9
'S' 8
'B' 6
'B' 9
'S' 8
'S' 7
'S' 7
'B' 7
'S' 8
'S' 10
'B' 6
'B' 6

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316107&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]

4 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316107&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316107&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	4 seconds
R Server	Big Analytics Cloud Computing Center

Tabulation of Results
groupC x Intention_to_Use
	10	2	3	4	5	6	7	8	9
B	0	5	4	5	6	9	7	6	7
S	20	0	0	6	5	13	20	44	22

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
groupC  x  Intention_to_Use \tabularnewline
  & 10 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \tabularnewline
B & 0 & 5 & 4 & 5 & 6 & 9 & 7 & 6 & 7 \tabularnewline
S & 20 & 0 & 0 & 6 & 5 & 13 & 20 & 44 & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316107&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]groupC  x  Intention_to_Use[/C][/ROW]
[ROW][C] [/C][C]10[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][/ROW]
[C]B[/C][C]0[/C][C]5[/C][C]4[/C][C]5[/C][C]6[/C][C]9[/C][C]7[/C][C]6[/C][C]7[/C][/ROW]
[C]S[/C][C]20[/C][C]0[/C][C]0[/C][C]6[/C][C]5[/C][C]13[/C][C]20[/C][C]44[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316107&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316107&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
groupC x Intention_to_Use
	10	2	3	4	5	6	7	8	9
B	0	5	4	5	6	9	7	6	7
S	20	0	0	6	5	13	20	44	22

Tabulation of Expected Results
groupC x Intention_to_Use
	10	2	3	4	5	6	7	8	9
B	5.47	1.37	1.09	3.01	3.01	6.02	7.39	13.69	7.94
S	14.53	3.63	2.91	7.99	7.99	15.98	19.61	36.31	21.06

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
groupC  x  Intention_to_Use \tabularnewline
  & 10 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \tabularnewline
B & 5.47 & 1.37 & 1.09 & 3.01 & 3.01 & 6.02 & 7.39 & 13.69 & 7.94 \tabularnewline
S & 14.53 & 3.63 & 2.91 & 7.99 & 7.99 & 15.98 & 19.61 & 36.31 & 21.06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316107&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]groupC  x  Intention_to_Use[/C][/ROW]
[ROW][C] [/C][C]10[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][/ROW]
[C]B[/C][C]5.47[/C][C]1.37[/C][C]1.09[/C][C]3.01[/C][C]3.01[/C][C]6.02[/C][C]7.39[/C][C]13.69[/C][C]7.94[/C][/ROW]
[C]S[/C][C]14.53[/C][C]3.63[/C][C]2.91[/C][C]7.99[/C][C]7.99[/C][C]15.98[/C][C]19.61[/C][C]36.31[/C][C]21.06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316107&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316107&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
groupC x Intention_to_Use
	10	2	3	4	5	6	7	8	9
B	5.47	1.37	1.09	3.01	3.01	6.02	7.39	13.69	7.94
S	14.53	3.63	2.91	7.99	7.99	15.98	19.61	36.31	21.06

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	45.46
Degrees of Freedom	8
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 45.46 \tabularnewline
Degrees of Freedom & 8 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316107&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]45.46[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]8[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316107&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316107&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	45.46
Degrees of Freedom	8
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = TRUE ;

Parameters (R input):

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

R code (references can be found in the software module):

par3 <- 'Exact Pearson Chi-Squared by Simulation'
par2 <- '2'
par1 <- '1'
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