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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

Fri, 22 Jan 2016 10:42:33 +0000

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/2016/Jan/22/t14534593638bh59vx11w5va7b.htm/, Retrieved Tue, 07 May 2024 08:05:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=291530, Retrieved Tue, 07 May 2024 08:05:55 +0000

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User-defined keywords

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Standard Deviation-Mean Plot] [Jenkins vraag 8.2] [2015-12-19 07:38:11] [2ba32e9656c7c3fdddad3ba3f1588288]
- RMPD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Chi-squared] [2016-01-22 10:42:33] [8acc4c3875a0c63009483cc7dfb4f316] [Current]

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Dataseries X:

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Histogram

Boxplots

6 1 "'bach'"
7 0 "'bach'"
2 0 "'bach'"
11 0 "'bach'"
13 0 "'bach'"
3 1 "'bach'"
17 0 "'bach'"
10 0 "'bach'"
4 1 "'bach'"
12 0 "'bach'"
7 0 "'scha'"
11 0 "'scha'"
3 0 "'scha'"
5 1 "'scha'"
1 0 "'scha'"
12 0 "'scha'"
18 0 "'scha'"
8 1 "'scha'"
6 1 "'scha'"
1 0 "'scha'"

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	'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=291530&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=291530&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=291530&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	'Gertrude Mary Cox' @ cox.wessa.net

Tabulation of Results
Numeracy x Drugs
	0	1
1	2	0
10	1	0
11	2	0
12	2	0
13	1	0
17	1	0
18	1	0
2	1	0
3	1	1
4	0	1
5	0	1
6	0	2
7	2	0
8	0	1

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Numeracy  x  Drugs \tabularnewline
  & 0 & 1 \tabularnewline
1 & 2 & 0 \tabularnewline
10 & 1 & 0 \tabularnewline
11 & 2 & 0 \tabularnewline
12 & 2 & 0 \tabularnewline
13 & 1 & 0 \tabularnewline
17 & 1 & 0 \tabularnewline
18 & 1 & 0 \tabularnewline
2 & 1 & 0 \tabularnewline
3 & 1 & 1 \tabularnewline
4 & 0 & 1 \tabularnewline
5 & 0 & 1 \tabularnewline
6 & 0 & 2 \tabularnewline
7 & 2 & 0 \tabularnewline
8 & 0 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=291530&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Numeracy  x  Drugs[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]1[/C][C]2[/C][C]0[/C][/ROW]
[C]10[/C][C]1[/C][C]0[/C][/ROW]
[C]11[/C][C]2[/C][C]0[/C][/ROW]
[C]12[/C][C]2[/C][C]0[/C][/ROW]
[C]13[/C][C]1[/C][C]0[/C][/ROW]
[C]17[/C][C]1[/C][C]0[/C][/ROW]
[C]18[/C][C]1[/C][C]0[/C][/ROW]
[C]2[/C][C]1[/C][C]0[/C][/ROW]
[C]3[/C][C]1[/C][C]1[/C][/ROW]
[C]4[/C][C]0[/C][C]1[/C][/ROW]
[C]5[/C][C]0[/C][C]1[/C][/ROW]
[C]6[/C][C]0[/C][C]2[/C][/ROW]
[C]7[/C][C]2[/C][C]0[/C][/ROW]
[C]8[/C][C]0[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=291530&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=291530&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
Numeracy x Drugs
	0	1
1	2	0
10	1	0
11	2	0
12	2	0
13	1	0
17	1	0
18	1	0
2	1	0
3	1	1
4	0	1
5	0	1
6	0	2
7	2	0
8	0	1

Tabulation of Expected Results
Numeracy x Drugs
	0	1
1	1.4	0.6
10	0.7	0.3
11	1.4	0.6
12	1.4	0.6
13	0.7	0.3
17	0.7	0.3
18	0.7	0.3
2	0.7	0.3
3	1.4	0.6
4	0.7	0.3
5	0.7	0.3
6	1.4	0.6
7	1.4	0.6
8	0.7	0.3

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Numeracy  x  Drugs \tabularnewline
  & 0 & 1 \tabularnewline
1 & 1.4 & 0.6 \tabularnewline
10 & 0.7 & 0.3 \tabularnewline
11 & 1.4 & 0.6 \tabularnewline
12 & 1.4 & 0.6 \tabularnewline
13 & 0.7 & 0.3 \tabularnewline
17 & 0.7 & 0.3 \tabularnewline
18 & 0.7 & 0.3 \tabularnewline
2 & 0.7 & 0.3 \tabularnewline
3 & 1.4 & 0.6 \tabularnewline
4 & 0.7 & 0.3 \tabularnewline
5 & 0.7 & 0.3 \tabularnewline
6 & 1.4 & 0.6 \tabularnewline
7 & 1.4 & 0.6 \tabularnewline
8 & 0.7 & 0.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=291530&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Numeracy  x  Drugs[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]1[/C][C]1.4[/C][C]0.6[/C][/ROW]
[C]10[/C][C]0.7[/C][C]0.3[/C][/ROW]
[C]11[/C][C]1.4[/C][C]0.6[/C][/ROW]
[C]12[/C][C]1.4[/C][C]0.6[/C][/ROW]
[C]13[/C][C]0.7[/C][C]0.3[/C][/ROW]
[C]17[/C][C]0.7[/C][C]0.3[/C][/ROW]
[C]18[/C][C]0.7[/C][C]0.3[/C][/ROW]
[C]2[/C][C]0.7[/C][C]0.3[/C][/ROW]
[C]3[/C][C]1.4[/C][C]0.6[/C][/ROW]
[C]4[/C][C]0.7[/C][C]0.3[/C][/ROW]
[C]5[/C][C]0.7[/C][C]0.3[/C][/ROW]
[C]6[/C][C]1.4[/C][C]0.6[/C][/ROW]
[C]7[/C][C]1.4[/C][C]0.6[/C][/ROW]
[C]8[/C][C]0.7[/C][C]0.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=291530&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=291530&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
Numeracy x Drugs
	0	1
1	1.4	0.6
10	0.7	0.3
11	1.4	0.6
12	1.4	0.6
13	0.7	0.3
17	0.7	0.3
18	0.7	0.3
2	0.7	0.3
3	1.4	0.6
4	0.7	0.3
5	0.7	0.3
6	1.4	0.6
7	1.4	0.6
8	0.7	0.3

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	17.62
Degrees of Freedom	13
P value	0.17

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 17.62 \tabularnewline
Degrees of Freedom & 13 \tabularnewline
P value & 0.17 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=291530&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]17.62[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]13[/C][/ROW]
[ROW][C]P value[/C][C]0.17[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=291530&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=291530&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	17.62
Degrees of Freedom	13
P value	0.17

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

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

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code