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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 computationMon, 22 Oct 2012 11:14:10 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/22/t1350919011aem5rgp7x5dtymh.htm/, Retrieved Fri, 03 May 2024 19:17:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=181656, Retrieved Fri, 03 May 2024 19:17:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordshappiness
Estimated Impact79

Tree of Dependent Computations

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] [chi squared test] [2012-10-22 15:14:10] [d33e917b1691dc26fe56729d488614ab] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2	3	3	2
2	5	4	1
4	3	2	2
3	3	2	2
3	4	4	1
2	5	4	1
4	4	4	2
3	4	4	3
2	4	3	2
2	4	3	2
2	4	5	2
1	5	4	1
2	2	2	4
1	4	3	2
2	5	5	2
3	4	4	3
2	4	3	3
2	4	4	1
3	4	2	1
2	5	3	2
1	4	4	1
3	3	2	3
4	3	5	2
3	3	3	3
2	5	4	2
4	2	3	4
2	4	4	2
4	4	4	2
3	4	4	2
4	3	2	2
2	4	4	2
3	3	4	3
1	4	4	2
2	4	3	2
3	4	4	3
2	4	4	2
4	2	3	4
2	4	3	2
2	5	4	2
2	3	4	4
2	4	4	3
2	4	4	2
2	5	4	3
3	3	4	4
2	4	NA	2
4	3	3	3
2	4	4	3
2	4	3	2
3	5	4	1
4	4	3	2
2	3	4	1
2	3	3	2
4	4	2	3
2	3	3	4
3	4	4	5
2	4	4	3
2	4	4	2
2	3	4	2
3	3	3	3
4	3	3	2
5	3	2	4
3	4	3	3
5	4	2	2
3	4	3	2
3	4	4	2
4	3	2	3
3	3	3	4
4	3	4	3
3	4	4	2
3	4	4	2
2	4	3	3
2	5	2	1
2	4	4	3
2	4	3	2
2	3	3	3
4	4	4	4
2	5	4	2
3	3	3	2
4	5	4	2
3	4	3	3
2	4	4	3
2	4	4	2
2	3	4	2
2	4	4	2
3	4	4	2
3	4	3	2
3	4	4	2
3	4	3	2
3	4	3	3
5	1	4	5
2	5	4	2
4	4	2	1
2	4	3	2
3	4	4	3
3	4	4	4
2	4	4	2
2	2	3	3
2	4	3	3
2	4	4	1
2	4	3	2
2	4	4	1
4	3	4	3
3	5	4	2
4	3	3	3
2	4	4	3
4	2	3	4
2	4	4	2
3	5	4	3
4	2	3	3
5	4	3	4
3	4	4	2
4	4	3	4
2	3	3	3
3	4	4	3
2	5	5	2
2	3	4	1
2	4	3	3
2	4	3	3
3	4	3	2
2	4	4	4
2	2	3	3
2	3	3	2
3	4	4	2
3	4	4	2
2	4	4	3
3	3	3	2
2	4	4	1
2	4	5	2
2	5	5	1
2	4	4	3
4	3	4	2
4	3	2	4
2	4	4	3
3	4	4	2
2	4	4	3
2	5	4	3
4	3	3	3
3	4	4	3
3	3	2	3
3	4	4	2
3	2	4	2
3	3	4	1
1	5	5	5
1	1	4	2
2	4	3	2
2	5	4	3
2	4	4	2
4	3	3	3
3	3	4	4
4	2	3	4
2	4	4	2
2	4	3	4
3	5	4	2
4	3	4	3
4	2	2	3
3	5	3	4
4	4	2	1
3	5	3	3
2	5	5	1
3	4	4	4
4	4	3	3
2	4	3	4

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181656&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181656&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181656&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Tabulation of Results
A x B
12345
110032
203114515
30112296
4061491
510120

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 1 & 0 & 0 & 3 & 2 \tabularnewline
2 & 0 & 3 & 11 & 45 & 15 \tabularnewline
3 & 0 & 1 & 12 & 29 & 6 \tabularnewline
4 & 0 & 6 & 14 & 9 & 1 \tabularnewline
5 & 1 & 0 & 1 & 2 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181656&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]3[/C][C]2[/C][/ROW]
[C]2[/C][C]0[/C][C]3[/C][C]11[/C][C]45[/C][C]15[/C][/ROW]
[C]3[/C][C]0[/C][C]1[/C][C]12[/C][C]29[/C][C]6[/C][/ROW]
[C]4[/C][C]0[/C][C]6[/C][C]14[/C][C]9[/C][C]1[/C][/ROW]
[C]5[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181656&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181656&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
A x B
12345
110032
203114515
30112296
4061491
510120






Tabulation of Expected Results
A x B
12345
10.070.371.413.260.89
20.914.5717.3640.210.96
30.592.9611.2626.077.11
40.371.857.0416.34.44
50.050.250.942.170.59

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.07 & 0.37 & 1.41 & 3.26 & 0.89 \tabularnewline
2 & 0.91 & 4.57 & 17.36 & 40.2 & 10.96 \tabularnewline
3 & 0.59 & 2.96 & 11.26 & 26.07 & 7.11 \tabularnewline
4 & 0.37 & 1.85 & 7.04 & 16.3 & 4.44 \tabularnewline
5 & 0.05 & 0.25 & 0.94 & 2.17 & 0.59 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181656&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0.07[/C][C]0.37[/C][C]1.41[/C][C]3.26[/C][C]0.89[/C][/ROW]
[C]2[/C][C]0.91[/C][C]4.57[/C][C]17.36[/C][C]40.2[/C][C]10.96[/C][/ROW]
[C]3[/C][C]0.59[/C][C]2.96[/C][C]11.26[/C][C]26.07[/C][C]7.11[/C][/ROW]
[C]4[/C][C]0.37[/C][C]1.85[/C][C]7.04[/C][C]16.3[/C][C]4.44[/C][/ROW]
[C]5[/C][C]0.05[/C][C]0.25[/C][C]0.94[/C][C]2.17[/C][C]0.59[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181656&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181656&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
A x B
12345
10.070.371.413.260.89
20.914.5717.3640.210.96
30.592.9611.2626.077.11
40.371.857.0416.34.44
50.050.250.942.170.59






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic64.69
Degrees of Freedom16
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 64.69 \tabularnewline
Degrees of Freedom & 16 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181656&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]64.69[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]16[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181656&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181656&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
Pearson Chi Square Statistic64.69
Degrees of Freedom16
P value0


Figures (Output of Computation)

Input Parameters & R Code

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')