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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 16:46:33 +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/t12899259026qva57s3zinxxbj.htm/, Retrieved Wed, 01 May 2024 00:14:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=96053, Retrieved Wed, 01 May 2024 00:14:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

131

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

-     [Chi-Squared and McNemar Tests] [Happiness vs Sepa...] [2010-11-08 18:31:43] [2960375a246cc0628590c95c4038a43c]
-       [Chi-Squared and McNemar Tests] [Happiness & Separate] [2010-11-09 08:53:25] [c1605865773cc027e55b238d879a644c]
F   P       [Chi-Squared and McNemar Tests] [Happiness en Sepa...] [2010-11-16 16:46:33] [c6b3e187a4a1689d42fffda4bc860ab5] [Current]
- R P         [Chi-Squared and McNemar Tests] [Happiness vs sepa...] [2010-11-25 16:25:54] [5b90046bcdf0f277a2c54de2210570b9] 
- R P         [Chi-Squared and McNemar Tests] [Happiness vs sepa...] [2010-11-25 16:25:54] [5b90046bcdf0f277a2c54de2210570b9] 

Feedback Forum

2010-11-22 11:19:04 [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/t1290168544qic8rs9be7iib4g.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 maar 1 balk gekleurd is. Hier kunnen we niet met zekerheid concluderen dat er inderdaad een verband is. 
2010-11-23 16:15:15 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De student heeft de juiste methode gebruikt. Er is waarschijnlijk een verband tussen beide variabelen.

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Dataseries X:

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Histogram

Boxplots

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

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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96053&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96053&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96053&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	'Gwilym Jenkins' @ 72.249.127.135

Tabulation of Results
Happiness x Separate
	A	B	C	D
A	13	12	10	8
B	23	17	8	12
C	2	3	9	5
D	6	14	11	9

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Happiness  x  Separate \tabularnewline
  & A & B & C & D \tabularnewline
A & 13 & 12 & 10 & 8 \tabularnewline
B & 23 & 17 & 8 & 12 \tabularnewline
C & 2 & 3 & 9 & 5 \tabularnewline
D & 6 & 14 & 11 & 9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96053&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Happiness  x  Separate[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]13[/C][C]12[/C][C]10[/C][C]8[/C][/ROW]
[C]B[/C][C]23[/C][C]17[/C][C]8[/C][C]12[/C][/ROW]
[C]C[/C][C]2[/C][C]3[/C][C]9[/C][C]5[/C][/ROW]
[C]D[/C][C]6[/C][C]14[/C][C]11[/C][C]9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96053&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96053&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
Happiness x Separate
	A	B	C	D
A	13	12	10	8
B	23	17	8	12
C	2	3	9	5
D	6	14	11	9

Tabulation of Expected Results
Happiness x Separate
	A	B	C	D
A	11.68	12.21	10.09	9.02
B	16.3	17.04	14.07	12.59
C	5.16	5.4	4.46	3.99
D	10.86	11.36	9.38	8.4

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Happiness  x  Separate \tabularnewline
  & A & B & C & D \tabularnewline
A & 11.68 & 12.21 & 10.09 & 9.02 \tabularnewline
B & 16.3 & 17.04 & 14.07 & 12.59 \tabularnewline
C & 5.16 & 5.4 & 4.46 & 3.99 \tabularnewline
D & 10.86 & 11.36 & 9.38 & 8.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96053&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Happiness  x  Separate[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]11.68[/C][C]12.21[/C][C]10.09[/C][C]9.02[/C][/ROW]
[C]B[/C][C]16.3[/C][C]17.04[/C][C]14.07[/C][C]12.59[/C][/ROW]
[C]C[/C][C]5.16[/C][C]5.4[/C][C]4.46[/C][C]3.99[/C][/ROW]
[C]D[/C][C]10.86[/C][C]11.36[/C][C]9.38[/C][C]8.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96053&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96053&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
Happiness x Separate
	A	B	C	D
A	11.68	12.21	10.09	9.02
B	16.3	17.04	14.07	12.59
C	5.16	5.4	4.46	3.99
D	10.86	11.36	9.38	8.4

Statistical Results
Pearson's Chi-squared test
Chi Square Statistic	16.68
Degrees of Freedom	9
P value	0.05

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 16.68 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96053&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]16.68[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96053&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96053&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	16.68
Degrees of Freedom	9
P value	0.05

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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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code