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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationWed, 21 Dec 2016 11:30:34 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/21/t14823162446zfu03mx7nmeo9i.htm/, Retrieved Thu, 29 May 2025 01:42:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302073, Retrieved Thu, 29 May 2025 01:42:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ARIMA Forecasting] [ ARIMA FORECAST] [2016-12-15 19:00:32] [d1d385d9b7e195437bdc484ddbefdda4]
- RMPD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Vraag 5] [2016-12-21 10:30:34] [b95f76f605693b3a3343a287ab24f42a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21 1 0
22 1 1
22 1 0
18 1 1
23 1 1
12 1 1
20 1 0
22 1 1
21 1 1
19 1 1
22 1 1
15 1 1
20 1 1
19 1 0
18 1 0
15 0 0
20 1 1
21 1 0
21 0 1
15 1 0
16 1 1
23 1 1
21 1 0
18 1 1
25 1 1
9 1 1
30 0 1
20 0 0
23 1 1
16 1 0
16 1 0
19 1 0
25 1 1
18 1 1
23 1 1
21 1 1
10 1 0
14 0 1
22 1 1
26 1 0
23 1 1
23 1 1
24 1 1
24 1 1
18 0 1
23 1 0
15 1 1
19 0 1
16 1 0
25 0 1
23 0 1
17 0 1
19 1 1
21 0 1
18 1 1
27 1 1
21 0 0
13 1 1
8 0 0
29 0 1
28 1 1
23 1 0
21 1 0
19 1 1
19 1 0
20 0 1
18 1 0
19 1 1
17 1 1
19 0 0
25 1 0
19 1 0
22 0 0
23 0 1
14 1 0
16 1 0
24 0 1
20 1 0
12 0 0
24 1 1
22 0 0
12 0 0
22 0 0
20 0 1
10 0 0
23 0 1
17 0 1
22 0 0
24 0 0
18 0 0
21 0 1
20 0 1
20 0 1
22 0 0
19 0 1
20 0 0
26 0 1
23 0 1
24 0 1
21 0 1
21 0 1
19 0 0
8 0 1
17 0 1
20 0 1
11 0 0
8 0 0
15 0 0
18 0 0
18 0 0
19 0 0
19 0 1
23 1 1
22 1 1
21 1 1
25 1 1
30 0 0
17 0 1
27 1 1
23 1 0
23 1 1
18 1 0
18 1 0
23 1 1
19 1 1
15 1 1
20 1 1
16 1 1
24 0 1
25 1 1
25 1 1
19 1 0
19 1 1
16 1 1
19 1 1
19 1 1
23 1 1
21 1 1
22 1 0
19 1 1
20 0 1
20 1 1
3 1 1
23 1 1
23 1 0
20 1 0
15 1 1
16 1 0
7 1 0
24 1 1
17 1 0
24 1 1
24 1 1
19 1 0
25 0 1
20 0 1
28 1 1
23 1 0
27 0 0
18 0 0
28 0 0
21 0 1
19 1 0
23 1 1
27 0 0
22 0 1
28 0 0
25 0 1
21 0 0
22 0 0
28 0 1
20 0 0
29 0 1
25 1 1
25 1 1
20 0 1
20 1 1
16 1 0
20 0 1
20 1 0
23 0 0
18 0 0
25 1 1
18 0 0
19 0 1
25 0 0
25 0 0
25 0 0
24 0 0
19 0 1
26 0 1
10 0 1
17 0 1
13 0 0
17 0 0
30 0 1
25 1 0
4 0 0
16 0 0
21 0 0
23 1 1
22 0 1
17 1 0
20 0 0
20 1 1
22 0 0
16 1 1
23 0 1
0 0 0
18 0 1
25 0 1
23 1 1
12 1 0
18 0 0
24 1 0
11 1 1
18 0 1
23 1 1
24 0 1
29 0 0
18 1 0
15 0 0
29 1 1
16 1 1
19 1 0
22 0 0
16 1 0
23 0 1
23 1 1
19 1 0
4 1 0
20 1 0
24 0 1
20 1 1
4 1 1
24 1 1
22 0 0
16 1 1
3 1 1
15 0 1
24 1 0
17 0 0
20 0 1
27 0 0
26 0 1
23 0 1
17 1 0
20 1 1
22 1 0
19 1 1
24 1 1
19 1 0
23 0 1
15 0 0
27 1 1
26 0 0
22 0 1
22 1 0
18 0 0
15 0 1
22 0 1
27 0 0
10 0 1
20 0 1
17 0 0
23 0 1
19 0 0
13 0 0
27 0 1
23 0 1
16 0 0
25 0 1
2 0 0
26 0 0
20 0 1
23 1 0
22 0 0
24 0 1

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302073&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302073&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302073&T=0

As an alternative you can also use a QR Code:  
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 Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
group x gender
01
06571
15587

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
group  x  gender \tabularnewline
  & 0 & 1 \tabularnewline
0 & 65 & 71 \tabularnewline
1 & 55 & 87 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302073&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]group  x  gender[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]0[/C][C]65[/C][C]71[/C][/ROW]
[C]1[/C][C]55[/C][C]87[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302073&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302073&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Results
group x gender
01
06571
15587






Tabulation of Expected Results
group x gender
01
058.7177.29
161.2980.71

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
group  x  gender \tabularnewline
  & 0 & 1 \tabularnewline
0 & 58.71 & 77.29 \tabularnewline
1 & 61.29 & 80.71 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302073&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]group  x  gender[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]0[/C][C]58.71[/C][C]77.29[/C][/ROW]
[C]1[/C][C]61.29[/C][C]80.71[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302073&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302073&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
group x gender
01
058.7177.29
161.2980.71






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic2.33
P value0.16

\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 & 2.33 \tabularnewline
P value & 0.16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302073&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]2.33[/C][/ROW]
[ROW][C]P value[/C][C]0.16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302073&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302073&T=3

As an alternative you can also use a QR Code:  
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 Statistic2.33
P value0.16


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;
Parameters (R input):
par1 = 2 ; par2 = 3 ; par3 = Exact Pearson Chi-Squared by Simulation ;
R code (references can be found in the software module):
par3 <- 'Exact Pearson Chi-Squared by Simulation'
par2 <- '3'
par1 <- '2'
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')