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Author

*The author of this computation has been verified*

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, 20 Dec 2017 14:53:14 +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/2017/Dec/20/t1513783113no46b8fnny492sy.htm/, Retrieved Tue, 14 May 2024 12:31:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310526, Retrieved Tue, 14 May 2024 12:31:08 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

123

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] [Dataset 1: Chi-sq...] [2017-12-20 13:53:14] [175ae270eadec1eee45a9232fd93e8f5] [Current]

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'B'	7
'B'	8
'B'	8
'B'	10
'B'	8
'S'	9
'B'	8
'B'	10
'B'	7
'B'	10
'S'	8
'S'	8
'S'	6
'B'	7
'B'	9
'S'	9
'B'	8
'S'	8
'S'	10
'B'	7
'B'	7
'B'	7
'B'	6
'B'	9
'S'	7
'S'	8
'B'	10
'B'	9
'B'	8
'B'	8
'S'	10
'B'	8
'B'	4
'B'	6
'B'	7
'S'	7
'S'	3
'S'	8
'S'	8
'S'	6
'S'	10
'B'	8
'S'	4
'B'	8
'B'	7
'B'	6
'B'	9
'B'	10
'B'	9
'B'	7
'B'	10
'S'	7
'B'	10
'S'	9
'S'	7
'S'	10
'B'	8
'S'	8
'B'	6
'B'	9
'B'	7
'B'	8
'B'	8
'B'	9
'S'	5
'B'	9
'B'	6
'B'	8
'B'	10
'B'	7
'S'	5
'B'	4
'S'	9
'B'	10
'B'	8
'B'	6
'B'	6
'B'	9
'B'	3
'B'	7
'B'	9
'B'	7
'B'	8
'S'	9
'B'	9
'S'	8
'B'	9
'B'	6
'B'	7
'B'	8
'B'	7
'B'	9
'B'	9
'S'	5
'B'	6
'B'	8
'S'	10
'S'	5
'B'	8
'B'	8
'B'	10
'B'	7
'B'	9
'B'	8
'B'	8
'B'	10
'B'	9
'B'	9
'B'	6
'B'	8
'S'	5
'S'	3
'S'	6
'S'	6
'B'	10
'S'	9
'B'	9
'B'	5
'B'	6
'B'	7
'B'	8
'B'	9
'S'	3
'S'	5
'S'	5
'B'	9
'S'	10
'S'	7
'B'	8
'B'	6
'S'	5
'S'	8
'S'	7
'S'	5
'S'	6
'S'	10
'S'	10
'S'	6
'S'	4
'S'	8
'S'	5
'S'	7
'S'	10
'S'	8
'B'	7
'B'	2
'B'	7
'B'	9
'S'	8
'B'	5
'S'	8
'B'	6
'S'	7
'S'	10
'B'	8
'S'	10
'S'	9
'S'	8
'S'	10
'B'	4
'B'	6
'B'	9
'S'	4
'S'	6
'B'	7
'B'	9
'S'	8
'B'	6
'S'	4
'S'	8
'B'	8
'B'	9
'B'	6
'S'	5
'B'	5
'S'	8
'S'	8
'S'	9
'S'	7
'S'	9
'S'	8
'B'	6
'B'	7
'B'	8
'S'	8
'S'	7
'B'	7
'B'	8
'S'	8
'S'	9
'S'	9
'B'	9
'S'	8
'S'	2
'B'	8
'B'	8
'S'	8
'B'	7
'S'	10
'S'	8
'S'	10
'B'	5
'S'	4
'S'	10
'S'	8
'S'	7
'S'	5
'S'	7
'S'	9
'S'	8
'S'	8
'S'	2
'S'	9
'S'	8
'S'	5
'S'	7
'S'	8
'S'	7
'B'	5
'S'	10
'S'	6
'S'	6
'S'	5
'S'	7
'S'	8
'S'	8
'S'	4
'B'	9
'S'	4
'S'	10
'S'	6
'S'	6
'S'	8
'S'	8
'S'	8
'S'	8
'S'	8
'S'	8
'S'	7
'S'	7
'S'	8
'B'	10
'S'	10
'S'	3
'B'	8
'B'	2
'B'	4
'B'	4
'S'	9
'S'	10
'S'	6
'S'	10
'B'	10
'S'	3
'S'	9
'S'	9
'S'	6
'S'	5
'B'	4
'S'	4
'S'	6
'S'	6
'B'	8
'S'	8
'S'	5
'B'	7
'S'	6
'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	1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310526&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=310526&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310526&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	Big Analytics Cloud Computing Center

Tabulation of Results
B/S x Inten
	10	2	3	4	5	6	7	8	9
B	14	7	5	11	11	26	31	39	33
S	40	2	5	14	21	29	37	83	38

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
B/S  x  Inten \tabularnewline
  & 10 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \tabularnewline
B & 14 & 7 & 5 & 11 & 11 & 26 & 31 & 39 & 33 \tabularnewline
S & 40 & 2 & 5 & 14 & 21 & 29 & 37 & 83 & 38 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310526&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]B/S  x  Inten[/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]14[/C][C]7[/C][C]5[/C][C]11[/C][C]11[/C][C]26[/C][C]31[/C][C]39[/C][C]33[/C][/ROW]
[C]S[/C][C]40[/C][C]2[/C][C]5[/C][C]14[/C][C]21[/C][C]29[/C][C]37[/C][C]83[/C][C]38[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310526&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310526&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
B/S x Inten
	10	2	3	4	5	6	7	8	9
B	14	7	5	11	11	26	31	39	33
S	40	2	5	14	21	29	37	83	38

Tabulation of Expected Results
B/S x Inten
	10	2	3	4	5	6	7	8	9
B	21.43	3.57	3.97	9.92	12.7	21.83	26.99	48.42	28.18
S	32.57	5.43	6.03	15.08	19.3	33.17	41.01	73.58	42.82

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
B/S  x  Inten \tabularnewline
  & 10 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \tabularnewline
B & 21.43 & 3.57 & 3.97 & 9.92 & 12.7 & 21.83 & 26.99 & 48.42 & 28.18 \tabularnewline
S & 32.57 & 5.43 & 6.03 & 15.08 & 19.3 & 33.17 & 41.01 & 73.58 & 42.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310526&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]B/S  x  Inten[/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]21.43[/C][C]3.57[/C][C]3.97[/C][C]9.92[/C][C]12.7[/C][C]21.83[/C][C]26.99[/C][C]48.42[/C][C]28.18[/C][/ROW]
[C]S[/C][C]32.57[/C][C]5.43[/C][C]6.03[/C][C]15.08[/C][C]19.3[/C][C]33.17[/C][C]41.01[/C][C]73.58[/C][C]42.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310526&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310526&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
B/S x Inten
	10	2	3	4	5	6	7	8	9
B	21.43	3.57	3.97	9.92	12.7	21.83	26.99	48.42	28.18
S	32.57	5.43	6.03	15.08	19.3	33.17	41.01	73.58	42.82

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	17.46
P value	0.02

\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 & 17.46 \tabularnewline
P value & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310526&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]17.46[/C][/ROW]
[ROW][C]P value[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310526&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310526&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	17.46
P value	0.02

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

par1 = 1 ; par2 = 2 ; 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 <- '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