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*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

Thu, 30 Nov 2017 18:10:38 +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/Nov/30/t1512061922tyh8tapinbe6mbr.htm/, Retrieved Fri, 20 Sep 2024 23:57:17 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308401, Retrieved Fri, 20 Sep 2024 23:57:17 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

108

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] [chiq b vs s ] [2017-11-30 17:10:38] [590d161356c203bfab730abba48e0199] [Current]

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

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=308401&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=308401&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308401&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
Intention_to_Use x groupC
	'B'	'S'
10	14	40
2	7	2
3	5	5
4	11	14
5	11	21
6	26	29
7	31	37
8	39	83
9	33	38

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Intention_to_Use  x  groupC \tabularnewline
  & 'B' & 'S' \tabularnewline
10 & 14 & 40 \tabularnewline
2 & 7 & 2 \tabularnewline
3 & 5 & 5 \tabularnewline
4 & 11 & 14 \tabularnewline
5 & 11 & 21 \tabularnewline
6 & 26 & 29 \tabularnewline
7 & 31 & 37 \tabularnewline
8 & 39 & 83 \tabularnewline
9 & 33 & 38 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308401&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Intention_to_Use  x  groupC[/C][/ROW]
[ROW][C] [/C][C]'B'[/C][C]'S'[/C][/ROW]
[C]10[/C][C]14[/C][C]40[/C][/ROW]
[C]2[/C][C]7[/C][C]2[/C][/ROW]
[C]3[/C][C]5[/C][C]5[/C][/ROW]
[C]4[/C][C]11[/C][C]14[/C][/ROW]
[C]5[/C][C]11[/C][C]21[/C][/ROW]
[C]6[/C][C]26[/C][C]29[/C][/ROW]
[C]7[/C][C]31[/C][C]37[/C][/ROW]
[C]8[/C][C]39[/C][C]83[/C][/ROW]
[C]9[/C][C]33[/C][C]38[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308401&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308401&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
Intention_to_Use x groupC
	'B'	'S'
10	14	40
2	7	2
3	5	5
4	11	14
5	11	21
6	26	29
7	31	37
8	39	83
9	33	38

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

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Intention_to_Use  x  groupC \tabularnewline
  & 'B' & 'S' \tabularnewline
10 & 21.43 & 32.57 \tabularnewline
2 & 3.57 & 5.43 \tabularnewline
3 & 3.97 & 6.03 \tabularnewline
4 & 9.92 & 15.08 \tabularnewline
5 & 12.7 & 19.3 \tabularnewline
6 & 21.83 & 33.17 \tabularnewline
7 & 26.99 & 41.01 \tabularnewline
8 & 48.42 & 73.58 \tabularnewline
9 & 28.18 & 42.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308401&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Intention_to_Use  x  groupC[/C][/ROW]
[ROW][C] [/C][C]'B'[/C][C]'S'[/C][/ROW]
[C]10[/C][C]21.43[/C][C]32.57[/C][/ROW]
[C]2[/C][C]3.57[/C][C]5.43[/C][/ROW]
[C]3[/C][C]3.97[/C][C]6.03[/C][/ROW]
[C]4[/C][C]9.92[/C][C]15.08[/C][/ROW]
[C]5[/C][C]12.7[/C][C]19.3[/C][/ROW]
[C]6[/C][C]21.83[/C][C]33.17[/C][/ROW]
[C]7[/C][C]26.99[/C][C]41.01[/C][/ROW]
[C]8[/C][C]48.42[/C][C]73.58[/C][/ROW]
[C]9[/C][C]28.18[/C][C]42.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308401&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308401&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
Intention_to_Use x groupC
	'B'	'S'
10	21.43	32.57
2	3.57	5.43
3	3.97	6.03
4	9.92	15.08
5	12.7	19.3
6	21.83	33.17
7	26.99	41.01
8	48.42	73.58
9	28.18	42.82

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	17.46
Degrees of Freedom	8
P value	0.03

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 17.46 \tabularnewline
Degrees of Freedom & 8 \tabularnewline
P value & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308401&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]17.46[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]8[/C][/ROW]
[ROW][C]P value[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308401&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308401&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	17.46
Degrees of Freedom	8
P value	0.03

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 <- 'Pearson Chi-Squared'
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