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C6 H-C1

*The author of this computation has been verified*

R Software Module: /rwasp_chi_squared_tests.wasp (opens new window with default values)

Title produced by software: Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation: Tue, 15 Nov 2011 11:18:24 -0500

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/Nov/15/t1321373944ju8cffd0wob99jp.htm/, Retrieved Tue, 21 May 2013 06:52:17 +0000

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

System-generated keywords (parent):

t1288996078p6g05msbz01fb6r (pk = 92403)

Estimated Impact

Dataseries X:

» Textfile « » CSV « » Correlation Matrix « » Notched Boxplots «

'A'	'A'	'D'	'A'	'B'	'B'	'D'
'A'	'C'	'A'	'B'	'A'	'C'	'A'
'D'	'B'	'A'	'A'	'D'	'A'	'C'
'D'	'C'	'C'	'D'	'D'	'B'	'C'
'B'	'A'	'C'	'A'	'A'	'A'	'B'
'B'	'D'	'D'	'C'	'A'	'B'	'A'
'A'	'D'	'A'	'A'	'B'	'A'	'D'
'B'	'B'	'C'	'A'	'B'	'C'	'A'
'B'	'B'	'C'	'A'	'B'	'D'	'B'
'A'	'A'	'C'	'D'	'B'	'B'	'B'
'A'	'D'	'A'	'C'	'A'	'D'	'A'
'B'	'B'	'A'	'A'	'A'	'D'	'D'
'A'	'B'	'A'	'A'	'D'	'A'	'C'
'A'	'A'	'A'	'B'	'A'	'A'	'D'
'C'	'A'	'A'	'A'	'A'	'D'	'A'
'C'	'C'	'C'	'A'	'B'	'A'	'D'
'B'	'C'	'C'	'C'	'B'	'A'	'B'
'A'	'A'	'A'	'A'	'A'	'C'	'A'
'A'	'A'	'A'	'B'	'B'	'D'	'D'
'C'	'C'	'A'	'A'	'A'	'B'	'D'
'C'	'C'	'A'	'B'	'A'	'D'	'C'
'D'	'D'	'A'	'A'	'D'	'A'	'C'
'A'	'A'	'A'	'A'	'B'	'B'	'D'
'A'	'A'	'A'	'B'	'D'	'A'	'D'
'A'	'C'	'A'	'D'	'A'	'C'	'A'
'A'	'C'	'A'	'A'	'D'	'D'	'A'
'B'	'B'	'A'	'C'	'A'	'C'	'B'
'C'	'A'	'C'	'A'	'B'	'A'	'C'
'C'	'C'	'A'	'A'	'B'	'A'	'A'
'B'	'C'	'C'	'C'	'D'	'B'	'C'
'D'	'D'	'C'	'A'	'A'	'D'	'A'
'D'	'C'	'D'	'D'	'C'	'A'	'D'
'A'	'D'	'C'	'C'	'A'	'D'	'C'
'B'	'A'	'A'	'A'	'B'	'C'	'A'
'B'	'D'	'C'	'A'	'B'	'B'	'B'
'C'	'C'	'D'	'D'	'A'	'D'	'C'
'D'	'D'	'D'	'D'	'D'	'A'	'D'
'B'	'C'	'C'	'A'	'B'	'B'	'C'
'D'	'D'	'A'	'C'	'A'	'D'	'B'
'B'	'C'	'A'	'C'	'C'	'D'	'C'
'A'	'C'	'A'	'C'	'B'	'D'	'B'
'B'	'C'	'C'	'A'	'A'	'A'	'B'
'A'	'C'	'A'	'A'	'A'	'D'	'D'
'B'	'C'	'C'	'C'	'D'	'A'	'D'
'A'	'D'	'C'	'C'	'D'	'C'	'C'
'A'	'B'	'D'	'A'	'D'	'B'	'C'
'A'	'A'	'C'	'A'	'B'	'D'	'D'
'C'	'B'	'C'	'B'	'B'	'C'	'B'
'B'	'A'	'A'	'B'	'A'	'A'	'B'
'A'	'C'	'C'	'A'	'C'	'C'	'B'
'C'	'A'	'A'	'A'	'A'	'D'	'C'
'C'	'D'	'C'	'C'	'B'	'A'	'C'
'C'	'C'	'D'	'A'	'D'	'A'	'D'
'B'	'A'	'A'	'A'	'D'	'A'	'D'
'C'	'C'	'D'	'D'	'D'	'C'	'D'
'A'	'C'	'C'	'D'	'B'	'B'	'B'
'A'	'B'	'A'	'A'	'A'	'B'	'B'
'D'	'B'	'A'	'A'	'B'	'D'	'C'
'A'	'B'	'C'	'B'	'D'	'D'	'B'
'B'	'B'	'A'	'C'	'D'	'A'	'C'
'D'	'D'	'D'	'D'	'D'	'A'	'D'
'A'	'B'	'A'	'A'	'C'	'B'	'B'
'B'	'B'	'A'	'A'	'D'	'B'	'B'
'D'	'B'	'C'	'B'	'B'	'A'	'D'
'B'	'D'	'A'	'A'	'B'	'B'	'D'
'B'	'A'	'A'	'A'	'D'	'C'	'A'
'B'	'B'	'A'	'A'	'D'	'A'	'C'
'D'	'D'	'A'	'B'	'D'	'B'	'B'
'A'	'A'	'D'	'A'	'B'	'B'	'D'
'B'	'A'	'A'	'A'	'B'	'A'	'C'
'A'	'B'	'D'	'D'	'B'	'B'	'C'
'D'	'A'	'C'	'B'	'A'	'A'	'D'
'B'	'A'	'A'	'A'	'B'	'B'	'A'
'A'	'A'	'A'	'A'	'B'	'D'	'C'
'B'	'D'	'A'	'A'	'C'	'C'	'A'
'A'	'D'	'A'	'D'	'D'	'A'	'A'
'A'	'A'	'A'	'A'	'A'	'B'	'C'
'B'	'D'	'A'	'B'	'C'	'A'	'C'
'D'	'D'	'D'	'A'	'B'	'B'	'B'
'A'	'D'	'A'	'A'	'C'	'D'	'D'
'C'	'B'	'A'	'A'	'B'	'C'	'A'
'A'	'A'	'A'	'A'	'A'	'D'	'D'
'B'	'A'	'A'	'A'	'B'	'D'	'C'
'A'	'C'	'C'	'A'	'A'	'B'	'B'
'C'	'B'	'C'	'B'	'B'	'B'	'C'
'C'	'D'	'A'	'C'	'B'	'B'	'B'
'A'	'A'	'C'	'D'	'B'	'B'	'B'
'C'	'B'	'A'	'A'	'B'	'B'	'C'
'D'	'C'	'A'	'A'	'C'	'A'	'D'
'C'	'C'	'C'	'A'	'D'	'A'	'C'
'D'	'B'	'D'	'D'	'A'	'B'	'B'
'B'	'C'	'A'	'A'	'C'	'A'	'D'
'B'	'A'	'A'	'A'	'B'	'B'	'B'
'C'	'D'	'C'	'A'	'B'	'A'	'A'
'D'	'D'	'D'	'A'	'C'	'D'	'A'
'A'	'B'	'A'	'C'	'A'	'C'	'A'
'A'	'B'	'A'	'A'	'D'	'A'	'C'
'B'	'D'	'A'	'D'	'B'	'C'	'A'
'A'	'B'	'A'	'A'	'A'	'C'	'A'
'C'	'B'	'C'	'C'	'B'	'D'	'B'
'A'	'B'	'A'	'A'	'A'	'D'	'B'
'A'	'B'	'A'	'B'	'D'	'A'	'B'
'B'	'A'	'A'	'A'	'A'	'B'	'A'
'C'	'D'	'C'	'B'	'D'	'C'	'C'
'C'	'A'	'A'	'B'	'B'	'A'	'A'
'A'	'C'	'D'	'A'	'D'	'A'	'C'
'A'	'B'	'A'	'A'	'A'	'C'	'B'
'A'	'A'	'A'	'A'	'B'	'A'	'C'
'B'	'B'	'A'	'B'	'D'	'A'	'D'
'A'	'A'	'D'	'D'	'D'	'A'	'D'
'D'	'B'	'A'	'A'	'B'	'A'	'A'
'D'	'C'	'A'	'A'	'D'	'A'	'B'
'C'	'A'	'A'	'B'	'C'	'C'	'A'
'C'	'C'	'D'	'B'	'B'	'A'	'D'
'A'	'B'	'D'	'C'	'A'	'B'	'B'
'A'	'C'	'A'	'A'	'A'	'D'	'A'
'C'	'A'	'C'	'A'	'B'	'A'	'D'
'B'	'A'	'C'	'D'	'B'	'B'	'C'
'C'	'B'	'D'	'B'	'B'	'D'	'C'
'A'	'B'	'A'	'A'	'B'	'A'	'A'
'C'	'A'	'D'	'B'	'D'	'A'	'D'
'D'	'D'	'A'	'A'	'B'	'A'	'B'
'A'	'A'	'D'	'A'	'B'	'C'	'A'
'A'	'A'	'A'	'A'	'B'	'D'	'B'
'C'	'D'	'C'	'A'	'B'	'C'	'B'
'D'	'C'	'A'	'A'	'C'	'C'	'A'
'A'	'C'	'C'	'C'	'A'	'D'	'A'
'A'	'A'	'A'	'B'	'A'	'D'	'B'
'C'	'B'	'C'	'D'	'A'	'C'	'A'
'B'	'C'	'D'	'B'	'B'	'B'	'C'
'C'	'C'	'A'	'C'	'C'	'C'	'C'
'D'	'C'	'D'	'B'	'D'	'A'	'C'
'A'	'A'	'A'	'D'	'B'	'D'	'B'
'D'	'D'	'D'	'B'	'B'	'A'	'D'
'A'	'A'	'C'	'A'	'B'	'B'	'B'
'C'	'D'	'C'	'A'	'A'	'A'	'A'
'D'	'D'	'D'	'D'	'D'	'A'	'D'
'B'	'B'	'C'	'B'	'B'	'A'	'D'
'D'	'B'	'D'	'C'	'D'	'A'	'D'
'B'	'B'	'D'	'D'	'B'	'C'	'D'
'D'	'B'	'D'	'D'	'C'	'B'	'C'
'C'	'B'	'A'	'D'	'B'	'D'	'D'
'D'	'B'	'C'	'D'	'A'	'A'	'A'
'D'	'B'	'A'	'A'	'B'	'B'	'A'
'D'	'D'	'A'	'B'	'B'	'B'	'B'
'A'	'D'	'D'	'D'	'A'	'C'	'A'
'C'	'D'	'A'	'A'	'A'	'B'	'B'
'B'	'B'	'D'	'A'	'D'	'B'	'D'
'C'	'D'	'A'	'A'	'D'	'C'	'B'
'B'	'C'	'D'	'D'	'D'	'A'	'B'
'A'	'A'	'D'	'D'	'A'	'B'	'A'
'A'	'A'	'C'	'A'	'C'	'A'	'A'
'B'	'A'	'A'	'D'	'A'	'D'	'C'
'B'	'A'	'A'	'D'	'D'	'B'	'C'
'B'	'B'	'C'	'D'	'D'	'A'	'C'
'C'	'D'	'D'	'D'	'C'	'A'	'A'
'B'	'C'	'A'	'A'	'C'	'A'	'D'
'C'	'A'	'D'	'D'	'B'	'A'	'C'
'C'	'B'	'C'	'D'	'A'	'C'	'A'
'B'	'C'	'A'	'B'	'C'	'D'	'A'
'C'	'B'	'D'	'D'	'D'	'A'	'A'
'B'	'B'	'D'	'D'	'C'	'A'	'C'

Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Tabulation of Results
hapiness x connected
	A	B	C	D
A	21	8	9	5
B	18	16	18	8
C	4	7	3	5
D	11	12	7	10

Tabulation of Expected Results
hapiness x connected
	A	B	C	D
A	14.33	11.41	9.82	7.43
B	20	15.93	13.7	10.37
C	6.33	5.04	4.34	3.28
D	13.33	10.62	9.14	6.91

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	12.47
Degrees of Freedom	9
P value	0.19

Charts produced by software:

http://www.freestatistics.org/blog/date/2011/Nov/15/t1321373944ju8cffd0wob99jp/1ji2e1321373900.png (opens in new window)

http://www.freestatistics.org/blog/date/2011/Nov/15/t1321373944ju8cffd0wob99jp/1ji2e1321373900.ps (opens in new window)

Click here to open pdf file.

Parameters (Session):

par1 = 5 ; par2 = 1 ; par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 5 ; par2 = 1 ; 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')