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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 11:21:34 -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/t13509193465zcsblmqt7u9n3i.htm/, Retrieved Fri, 03 May 2024 19:30:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=181665, Retrieved Fri, 03 May 2024 19:30:46 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsdepression
Estimated Impact64

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 15:21:34] [d33e917b1691dc26fe56729d488614ab] [Current]
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Dataset

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

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=181665&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=181665&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181665&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
1234
190900
2311620
34521
41001

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 \tabularnewline
1 & 90 & 9 & 0 & 0 \tabularnewline
2 & 31 & 16 & 2 & 0 \tabularnewline
3 & 4 & 5 & 2 & 1 \tabularnewline
4 & 1 & 0 & 0 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181665&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][/ROW]
[C]1[/C][C]90[/C][C]9[/C][C]0[/C][C]0[/C][/ROW]
[C]2[/C][C]31[/C][C]16[/C][C]2[/C][C]0[/C][/ROW]
[C]3[/C][C]4[/C][C]5[/C][C]2[/C][C]1[/C][/ROW]
[C]4[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181665&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181665&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
1234
190900
2311620
34521
41001






Tabulation of Expected Results
A x B
1234
17718.332.441.22
238.119.071.210.6
39.332.220.30.15
41.560.370.050.02

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 \tabularnewline
1 & 77 & 18.33 & 2.44 & 1.22 \tabularnewline
2 & 38.11 & 9.07 & 1.21 & 0.6 \tabularnewline
3 & 9.33 & 2.22 & 0.3 & 0.15 \tabularnewline
4 & 1.56 & 0.37 & 0.05 & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181665&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][/ROW]
[C]1[/C][C]77[/C][C]18.33[/C][C]2.44[/C][C]1.22[/C][/ROW]
[C]2[/C][C]38.11[/C][C]9.07[/C][C]1.21[/C][C]0.6[/C][/ROW]
[C]3[/C][C]9.33[/C][C]2.22[/C][C]0.3[/C][C]0.15[/C][/ROW]
[C]4[/C][C]1.56[/C][C]0.37[/C][C]0.05[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181665&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181665&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
1234
17718.332.441.22
238.119.071.210.6
39.332.220.30.15
41.560.370.050.02






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic78.7
Degrees of Freedom9
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 78.7 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=181665&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]78.7[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=181665&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=181665&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 Statistic78.7
Degrees of Freedom9
P value0


Figures (Output of Computation)

Input Parameters & R Code

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')