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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

Sun, 18 Dec 2011 09:53:55 -0500

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/2011/Dec/18/t1324220056detuqh1fuo0vtrb.htm/, Retrieved Thu, 02 May 2024 07:49:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156936, Retrieved Thu, 02 May 2024 07:49:55 +0000

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Estimated Impact

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

-     [Multiple Regression] [WS7 Tutorial Acco...] [2011-11-21 16:40:16] [9d4f280afcb4ecc352d7c6f913a0a151]
- R  D  [Multiple Regression] [WS7 Tutorial Acco...] [2011-11-21 16:45:28] [9d4f280afcb4ecc352d7c6f913a0a151]
-    D    [Multiple Regression] [WS7 Tutorial Acco...] [2011-11-21 16:59:15] [9d4f280afcb4ecc352d7c6f913a0a151]
-           [Multiple Regression] [Paper Multiple Li...] [2011-12-13 12:55:13] [9d4f280afcb4ecc352d7c6f913a0a151]
- RMP         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Paper Chi-Squared...] [2011-12-18 14:41:58] [9d4f280afcb4ecc352d7c6f913a0a151]
- R  D            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Paper Chi-Squared...] [2011-12-18 14:53:55] [2a6d487209befbc7c5ce02a41ecac161] [Current]

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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=156936&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=156936&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156936&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
Loon x Change
	0	1
6	1	0
7	0	2
8	1	2
9	3	2
10	5	4
12	1	5
13	2	2
14	3	2
15	3	4
16	4	5
17	1	6
18	2	3
21	1	0

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Loon  x  Change \tabularnewline
  & 0 & 1 \tabularnewline
6 & 1 & 0 \tabularnewline
7 & 0 & 2 \tabularnewline
8 & 1 & 2 \tabularnewline
9 & 3 & 2 \tabularnewline
10 & 5 & 4 \tabularnewline
12 & 1 & 5 \tabularnewline
13 & 2 & 2 \tabularnewline
14 & 3 & 2 \tabularnewline
15 & 3 & 4 \tabularnewline
16 & 4 & 5 \tabularnewline
17 & 1 & 6 \tabularnewline
18 & 2 & 3 \tabularnewline
21 & 1 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156936&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Loon  x  Change[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]6[/C][C]1[/C][C]0[/C][/ROW]
[C]7[/C][C]0[/C][C]2[/C][/ROW]
[C]8[/C][C]1[/C][C]2[/C][/ROW]
[C]9[/C][C]3[/C][C]2[/C][/ROW]
[C]10[/C][C]5[/C][C]4[/C][/ROW]
[C]12[/C][C]1[/C][C]5[/C][/ROW]
[C]13[/C][C]2[/C][C]2[/C][/ROW]
[C]14[/C][C]3[/C][C]2[/C][/ROW]
[C]15[/C][C]3[/C][C]4[/C][/ROW]
[C]16[/C][C]4[/C][C]5[/C][/ROW]
[C]17[/C][C]1[/C][C]6[/C][/ROW]
[C]18[/C][C]2[/C][C]3[/C][/ROW]
[C]21[/C][C]1[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156936&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156936&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
Loon x Change
	0	1
6	1	0
7	0	2
8	1	2
9	3	2
10	5	4
12	1	5
13	2	2
14	3	2
15	3	4
16	4	5
17	1	6
18	2	3
21	1	0

Tabulation of Expected Results
Loon x Change
	0	1
6	0.42	0.58
7	0.84	1.16
8	1.27	1.73
9	2.11	2.89
10	3.8	5.2
12	2.53	3.47
13	1.69	2.31
14	2.11	2.89
15	2.95	4.05
16	3.8	5.2
17	2.95	4.05
18	2.11	2.89
21	0.42	0.58

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Loon  x  Change \tabularnewline
  & 0 & 1 \tabularnewline
6 & 0.42 & 0.58 \tabularnewline
7 & 0.84 & 1.16 \tabularnewline
8 & 1.27 & 1.73 \tabularnewline
9 & 2.11 & 2.89 \tabularnewline
10 & 3.8 & 5.2 \tabularnewline
12 & 2.53 & 3.47 \tabularnewline
13 & 1.69 & 2.31 \tabularnewline
14 & 2.11 & 2.89 \tabularnewline
15 & 2.95 & 4.05 \tabularnewline
16 & 3.8 & 5.2 \tabularnewline
17 & 2.95 & 4.05 \tabularnewline
18 & 2.11 & 2.89 \tabularnewline
21 & 0.42 & 0.58 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156936&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Loon  x  Change[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]6[/C][C]0.42[/C][C]0.58[/C][/ROW]
[C]7[/C][C]0.84[/C][C]1.16[/C][/ROW]
[C]8[/C][C]1.27[/C][C]1.73[/C][/ROW]
[C]9[/C][C]2.11[/C][C]2.89[/C][/ROW]
[C]10[/C][C]3.8[/C][C]5.2[/C][/ROW]
[C]12[/C][C]2.53[/C][C]3.47[/C][/ROW]
[C]13[/C][C]1.69[/C][C]2.31[/C][/ROW]
[C]14[/C][C]2.11[/C][C]2.89[/C][/ROW]
[C]15[/C][C]2.95[/C][C]4.05[/C][/ROW]
[C]16[/C][C]3.8[/C][C]5.2[/C][/ROW]
[C]17[/C][C]2.95[/C][C]4.05[/C][/ROW]
[C]18[/C][C]2.11[/C][C]2.89[/C][/ROW]
[C]21[/C][C]0.42[/C][C]0.58[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156936&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156936&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
Loon x Change
	0	1
6	0.42	0.58
7	0.84	1.16
8	1.27	1.73
9	2.11	2.89
10	3.8	5.2
12	2.53	3.47
13	1.69	2.31
14	2.11	2.89
15	2.95	4.05
16	3.8	5.2
17	2.95	4.05
18	2.11	2.89
21	0.42	0.58

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	10.22
Degrees of Freedom	12
P value	0.6

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 10.22 \tabularnewline
Degrees of Freedom & 12 \tabularnewline
P value & 0.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156936&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]10.22[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]12[/C][/ROW]
[ROW][C]P value[/C][C]0.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156936&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156936&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	10.22
Degrees of Freedom	12
P value	0.6

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code