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Author

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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Tue, 16 Nov 2010 17:27:15 +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/2010/Nov/16/t1289928328p2z3wee5ohj305g.htm/, Retrieved Sun, 28 Apr 2024 22:37:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=96105, Retrieved Sun, 28 Apr 2024 22:37:53 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

135

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

-     [Chi-Squared and McNemar Tests] [Connected vs Sepa...] [2010-11-08 18:21:02] [2960375a246cc0628590c95c4038a43c]
-       [Chi-Squared and McNemar Tests] [Connected & Separate] [2010-11-09 09:00:41] [c1605865773cc027e55b238d879a644c]
F   P       [Chi-Squared and McNemar Tests] [Connected en Sepa...] [2010-11-16 17:27:15] [c6b3e187a4a1689d42fffda4bc860ab5] [Current]
- R P         [Chi-Squared and McNemar Tests] [Connected vs sepe...] [2010-11-25 16:21:32] [5b90046bcdf0f277a2c54de2210570b9] 

Feedback Forum

2010-11-22 11:18:23 [7d66e2e510b144c68ca0882fd178e17c] [reply] 
Je hebt de juiste caculator gebruikt maar je hebt de verkeerde computations aangeduid. Je had bij je computations exact Pearson's Chi-squared by simulation moeten aanduiden omdat je werkt met de fijne indeling en de cell count meestal kleiner is dan 5  .Je bekomt dan deze oplossing: http://www.freestatistics.org/blog/index.php?v=date/2010/Nov/19/t1290169146vghzokwn79ja81d.htm/  Je merkt dat er weinig verschil is maar toch moeten deze computations hanteren. 
 
 
Je analyse is niet volledig gemaakt, je had ook moeten kijken naar de grafische output. Bij deze grafische output zien we dat 2 balken gekleurd zijn, dit wijst op een verband tussen happiness en depression. 1 balk is blauw gekleurd en 1 balk is rood gekleurd. Omdat deze dus elkaar spreken, kijken we naar de hoofddiagonaal die begint bij A,A. We zien dat hier een balk blauw(D,D) gekleurd is, we besluiten daarom dat hier sprake is van een positief verband. 
2010-11-23 15:50:32 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De student heeft de juiste methode gebruikt. Er is een verband tussen beide variabelen.

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Dataseries X:

Download CSV

Histogram

Boxplots

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

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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96105&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' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96105&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96105&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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Tabulation of Results
Connected x Separate
	A	B	C	D
A	22	14	11	7
B	13	13	11	6
C	8	10	10	9
D	1	9	6	12

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Connected  x  Separate \tabularnewline
  & A & B & C & D \tabularnewline
A & 22 & 14 & 11 & 7 \tabularnewline
B & 13 & 13 & 11 & 6 \tabularnewline
C & 8 & 10 & 10 & 9 \tabularnewline
D & 1 & 9 & 6 & 12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96105&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Connected  x  Separate[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]22[/C][C]14[/C][C]11[/C][C]7[/C][/ROW]
[C]B[/C][C]13[/C][C]13[/C][C]11[/C][C]6[/C][/ROW]
[C]C[/C][C]8[/C][C]10[/C][C]10[/C][C]9[/C][/ROW]
[C]D[/C][C]1[/C][C]9[/C][C]6[/C][C]12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96105&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96105&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
Connected x Separate
	A	B	C	D
A	22	14	11	7
B	13	13	11	6
C	8	10	10	9
D	1	9	6	12

Tabulation of Expected Results
Connected x Separate
	A	B	C	D
A	14.67	15.33	12.67	11.33
B	11.68	12.21	10.09	9.02
C	10.05	10.51	8.68	7.77
D	7.6	7.95	6.57	5.88

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Connected  x  Separate \tabularnewline
  & A & B & C & D \tabularnewline
A & 14.67 & 15.33 & 12.67 & 11.33 \tabularnewline
B & 11.68 & 12.21 & 10.09 & 9.02 \tabularnewline
C & 10.05 & 10.51 & 8.68 & 7.77 \tabularnewline
D & 7.6 & 7.95 & 6.57 & 5.88 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96105&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Connected  x  Separate[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]14.67[/C][C]15.33[/C][C]12.67[/C][C]11.33[/C][/ROW]
[C]B[/C][C]11.68[/C][C]12.21[/C][C]10.09[/C][C]9.02[/C][/ROW]
[C]C[/C][C]10.05[/C][C]10.51[/C][C]8.68[/C][C]7.77[/C][/ROW]
[C]D[/C][C]7.6[/C][C]7.95[/C][C]6.57[/C][C]5.88[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96105&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96105&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
Connected x Separate
	A	B	C	D
A	14.67	15.33	12.67	11.33
B	11.68	12.21	10.09	9.02
C	10.05	10.51	8.68	7.77
D	7.6	7.95	6.57	5.88

Statistical Results
Pearson's Chi-squared test
Chi Square Statistic	20.1
Degrees of Freedom	9
P value	0.02

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 20.1 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96105&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]20.1[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96105&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96105&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
Chi Square Statistic	20.1
Degrees of Freedom	9
P value	0.02

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 500 ; par2 = 12 ;

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 != 'McNemar Chi-Squared') {
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)
a<-table.element(a, 'Chi Square Statistic', 1, TRUE)
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
a<-table.row.end(a)
if(!simulate.p.value){
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$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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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code