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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, 09 Nov 2010 08:55:53 +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/09/t1289292905q0m95pt0wx9mdi1.htm/, Retrieved Sun, 28 Apr 2024 13:03:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=92859, Retrieved Sun, 28 Apr 2024 13:03:33 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

200

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]
F         [Chi-Squared and McNemar Tests] [Happiness & Depre...] [2010-11-09 08:55:53] [85c2b01fe80f9fc86b9396d4d142e465] [Current]

Feedback Forum

2010-11-22 19:23:02 [Andries Achten] [reply] 
Als je de Chi-squared test uitvoert is er een bijkomende voorwaarde, de minimum cell count moet gelijk zijn aan 5. In de berekening zie je in de tabel van de berekeningen of er al dan niet lage cell-counts zijn. Indien er lage cell-counts zijn, moet je een Chi-squared test gebruiken gesimuleerde p-waarde (high-low). 
2010-11-23 17:17:00 [abfc2690eac87da053eb0d612ccdbe5b] [reply] 
De data met combinatie A tem D toont dat er niet aan de vuistregel is voldaan, want de cellcount is kleiner dan een hoeveelheid van 5 (Tabulation of results). Wanneer je toch wenste de data A tem D te gebruiken, kan je de Pearson Test with simulated p-value gebruiken. De data met HI en LO waren meer geschikt, omdat die wel aan de vuistregel voldoen. Zo kon men vaststellen dat de p-value 4% bedraagt. De conclusie die je formuleerde is wel correct.

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Dataseries X:

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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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=92859&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=92859&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=92859&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

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=92859&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=92859&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=92859&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=92859&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=92859&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=92859&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=92859&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=92859&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=92859&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 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code