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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, 23 Nov 2010 15:46:53 +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/23/t12905271105kh2uxzjth3qsum.htm/, Retrieved Sat, 20 Apr 2024 02:35:46 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=99311, Retrieved Sat, 20 Apr 2024 02:35:46 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

144

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

F       [Chi-Squared and McNemar Tests] [] [2010-11-23 15:46:53] [4c4b6062b5416bf30d160a3ba34752af] [Current]
-   P     [Chi-Squared and McNemar Tests] [] [2010-11-26 20:23:26] [74be16979710d4c4e7c6647856088456] 
-   P     [Chi-Squared and McNemar Tests] [] [2010-11-26 20:23:26] [018a7faf0f94403041e6e96a85c7f4c2] 
-           [Chi-Squared and McNemar Tests] [] [2010-11-26 21:12:13] [8580fcf1253f5e9fd0de57dd74c565ee] 
-    D      [Chi-Squared and McNemar Tests] [] [2010-11-26 21:15:03] [8580fcf1253f5e9fd0de57dd74c565ee] 
-    D      [Chi-Squared and McNemar Tests] [] [2010-11-26 21:19:16] [8580fcf1253f5e9fd0de57dd74c565ee] 

Feedback Forum

2010-11-29 09:46:09 [] [reply] 
Ook hier wijkt de oplossing van de student af van de modeloplossing.  
Wat waarschijnlijk komt doordat de student zijn gegevens anders heeft ingevoerd. 
In de modeloplossing word Happiness versus seperate berekend terwijl de student seperate versus happiness berekend. 
Hierdoor wijkt de P-waarde 1% af.
2010-12-02 01:54:08 [874c40efa80fed71258905cae9f5db6a] [reply] 
Ik begrijp niet waarom de student hier opeens een type I error van 3% neemt. Ik denk dat het beter is een type I error aan te nemen van 5% waardoor H0 verworpen wordt. Dit is juist, dit kunnen we zien aan de berekening van de grove indeling waarbij H0 ook verworpen wordt.

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Dataseries X:

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Boxplots

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 4 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99311&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99311&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99311&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	4 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message	The field 'Names of X columns' contains a hard return which cannot be interpreted. Please, resubmit your request without hard returns in the 'Names of X columns'.

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

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Separate  x  Happiness
 \tabularnewline
  & A & B & C & D \tabularnewline
A & 13 & 23 & 2 & 6 \tabularnewline
B & 12 & 17 & 3 & 14 \tabularnewline
C & 10 & 8 & 9 & 11 \tabularnewline
D & 8 & 12 & 5 & 9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99311&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Separate  x  Happiness
[/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]23[/C][C]2[/C][C]6[/C][/ROW]
[C]B[/C][C]12[/C][C]17[/C][C]3[/C][C]14[/C][/ROW]
[C]C[/C][C]10[/C][C]8[/C][C]9[/C][C]11[/C][/ROW]
[C]D[/C][C]8[/C][C]12[/C][C]5[/C][C]9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99311&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99311&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
Separate x Happiness
	A	B	C	D
A	13	23	2	6
B	12	17	3	14
C	10	8	9	11
D	8	12	5	9

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

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Separate  x  Happiness
 \tabularnewline
  & A & B & C & D \tabularnewline
A & 11.68 & 16.3 & 5.16 & 10.86 \tabularnewline
B & 12.21 & 17.04 & 5.4 & 11.36 \tabularnewline
C & 10.09 & 14.07 & 4.46 & 9.38 \tabularnewline
D & 9.02 & 12.59 & 3.99 & 8.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99311&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Separate  x  Happiness
[/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]16.3[/C][C]5.16[/C][C]10.86[/C][/ROW]
[C]B[/C][C]12.21[/C][C]17.04[/C][C]5.4[/C][C]11.36[/C][/ROW]
[C]C[/C][C]10.09[/C][C]14.07[/C][C]4.46[/C][C]9.38[/C][/ROW]
[C]D[/C][C]9.02[/C][C]12.59[/C][C]3.99[/C][C]8.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99311&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99311&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
Separate x Happiness
	A	B	C	D
A	11.68	16.3	5.16	10.86
B	12.21	17.04	5.4	11.36
C	10.09	14.07	4.46	9.38
D	9.02	12.59	3.99	8.4

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic	16.68
P value	0.05

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 16.68 \tabularnewline
P value & 0.05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99311&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]16.68[/C][/ROW]
[ROW][C]P value[/C][C]0.05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99311&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99311&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 with simulated p-value (based on 2000 replicates)
Chi Square Statistic	16.68
P value	0.05

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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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Figures (Output of Computation)

Input Parameters & R Code