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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 16:17:42 +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/t1289924280gx79v6ccpkk6ahy.htm/, Retrieved Fri, 03 May 2024 14:46:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=96009, Retrieved Fri, 03 May 2024 14:46:48 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

149

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 Depr...] [2010-11-08 18:25:02] [2960375a246cc0628590c95c4038a43c]
-       [Chi-Squared and McNemar Tests] [Happiness & Depre...] [2010-11-09 08:48:35] [c1605865773cc027e55b238d879a644c]
F   P       [Chi-Squared and McNemar Tests] [Happiness - Depre...] [2010-11-16 16:17:42] [c6b3e187a4a1689d42fffda4bc860ab5] [Current]
- R P         [Chi-Squared and McNemar Tests] [Happiness vs depr...] [2010-11-25 16:18:21] [5b90046bcdf0f277a2c54de2210570b9] 

Feedback Forum

2010-11-22 11:17:59 [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/t1290167544c80342wgoywc0k4.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 4 balken gekleurd zijn, dit wijst op een verband tussen happiness en depression. 2 balken zijn blauw gekleurd en 2 balken zijn rood gekleurd. Blauw betekend dat de werkelijke waarde hoger is dan de verwachte waarde (ligt boven de stippenlijn), rood betekend dat de werkelijke waarde lager is dan de verwachte waarde (ligt onder de stippenlijn). Omdat deze dus elkaar spreken, kijken we naar de hoofddiagonaal die begint bij A,A. We zien dat hier de balk rood gekleurd is, we besluiten daarom dat hier sprake is van een negatief verband. 
2010-11-23 15:48:43 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De student heeft de juiste methode gebruikt. Er is een negatief verband tussen beide variabelen.

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Dataseries X:

Download CSV

Histogram

Boxplots

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96009&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96009&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96009&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	2 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Tabulation of Results
Happiness x Depression
	A	B	C	D
A	7	10	10	16
B	19	21	8	12
C	8	2	5	4
D	26	7	5	2

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Happiness  x  Depression \tabularnewline
  & A & B & C & D \tabularnewline
A & 7 & 10 & 10 & 16 \tabularnewline
B & 19 & 21 & 8 & 12 \tabularnewline
C & 8 & 2 & 5 & 4 \tabularnewline
D & 26 & 7 & 5 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96009&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Happiness  x  Depression[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]7[/C][C]10[/C][C]10[/C][C]16[/C][/ROW]
[C]B[/C][C]19[/C][C]21[/C][C]8[/C][C]12[/C][/ROW]
[C]C[/C][C]8[/C][C]2[/C][C]5[/C][C]4[/C][/ROW]
[C]D[/C][C]26[/C][C]7[/C][C]5[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96009&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96009&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 Depression
	A	B	C	D
A	7	10	10	16
B	19	21	8	12
C	8	2	5	4
D	26	7	5	2

Tabulation of Expected Results
Happiness x Depression
	A	B	C	D
A	15.93	10.62	7.43	9.02
B	22.22	14.81	10.37	12.59
C	7.04	4.69	3.28	3.99
D	14.81	9.88	6.91	8.4

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Happiness  x  Depression \tabularnewline
  & A & B & C & D \tabularnewline
A & 15.93 & 10.62 & 7.43 & 9.02 \tabularnewline
B & 22.22 & 14.81 & 10.37 & 12.59 \tabularnewline
C & 7.04 & 4.69 & 3.28 & 3.99 \tabularnewline
D & 14.81 & 9.88 & 6.91 & 8.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96009&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Happiness  x  Depression[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]15.93[/C][C]10.62[/C][C]7.43[/C][C]9.02[/C][/ROW]
[C]B[/C][C]22.22[/C][C]14.81[/C][C]10.37[/C][C]12.59[/C][/ROW]
[C]C[/C][C]7.04[/C][C]4.69[/C][C]3.28[/C][C]3.99[/C][/ROW]
[C]D[/C][C]14.81[/C][C]9.88[/C][C]6.91[/C][C]8.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96009&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96009&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 Depression
	A	B	C	D
A	15.93	10.62	7.43	9.02
B	22.22	14.81	10.37	12.59
C	7.04	4.69	3.28	3.99
D	14.81	9.88	6.91	8.4

Statistical Results
Pearson's Chi-squared test
Chi Square Statistic	32.19
Degrees of Freedom	9
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 32.19 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96009&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]32.19[/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=96009&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96009&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	32.19
Degrees of Freedom	9
P value	0

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