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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationTue, 09 Dec 2014 14:14:25 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/09/t1418134526oxfgwt1j3ub8x18.htm/, Retrieved Thu, 16 May 2024 12:14:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264647, Retrieved Thu, 16 May 2024 12:14:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared and McNemar Tests] [] [2010-11-16 14:33:59] [b98453cac15ba1066b407e146608df68]
- RM    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-11-05 13:44:39] [c2c160edf30e228bd3a949bf24376c2c]
-    D      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-09 14:14:25] [18ce79f318750841a7d9877f42eaf4c3] [Current]
-   P         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 11:58:28] [80a885d02035c87be624c190e38c794d]
-   P           [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 11:59:33] [80a885d02035c87be624c190e38c794d]
-   P             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 12:00:40] [80a885d02035c87be624c190e38c794d]
-   P               [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 12:01:20] [80a885d02035c87be624c190e38c794d]
-   P                 [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 12:01:59] [80a885d02035c87be624c190e38c794d]
-   P                   [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-14 12:02:41] [80a885d02035c87be624c190e38c794d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
'C'	'C'	'B'	'C'
'D'	'D'	'D'	'D'
'D'	'D'	'B'	'B'
'C'	'C'	'C'	'D'
'B'	'B'	'B'	'D'
'C'	'C'	'A'	'D'
'C'	'C'	'B'	'D'
'B'	'D'	'C'	'A'
'C'	'C'	'B'	'D'
'A'	'A'	'A'	'D'
'B'	'C'	'B'	'D'
'B'	'C'	'B'	'C'
'B'	'C'	'A'	'D'
'C'	'C'	'A'	'D'
'B'	'B'	'B'	'C'
'D'	'D'	'B'	'A'
'B'	'C'	'C'	'A'
'B'	'B'	'C'	'D'
'B'	'C'	'B'	'C'
'C'	'D'	'B'	'D'
'C'	'C'	'C'	'D'
'A'	'A'	'A'	'D'
'B'	'B'	'A'	'B'
'B'	'C'	'B'	'B'
'D'	'C'	'B'	'B'
'B'	'D'	'C'	'A'
'C'	'C'	'C'	'D'
'C'	'D'	'C'	'C'
'B'	'C'	'A'	'C'
'B'	'C'	'B'	'D'
'B'	'B'	'A'	'D'
'C'	'D'	'C'	'D'
'B'	'C'	'C'	'B'
'D'	'D'	'D'	'D'
'B'	'C'	'B'	'D'
'B'	'A'	'A'	'B'
'B'	'C'	'A'	'C'
'D'	'D'	'C'	'D'
'D'	'D'	'B'	'D'
'B'	'B'	'B'	'D'
'C'	'C'	'B'	'C'
'D'	'D'	'A'	'C'
'C'	'C'	'C'	'D'
'C'	'C'	'B'	'D'
'B'	'D'	'A'	'D'
'B'	'C'	'B'	'C'
'B'	'C'	'A'	'C'
'D'	'D'	'A'	'C'
'B'	'C'	'C'	'B'
'B'	'C'	'C'	'C'
'D'	'D'	'A'	'C'
'C'	'C'	'C'	'B'
'C'	'C'	'A'	'C'
'C'	'D'	'C'	'C'
'B'	'C'	'B'	'C'
'A'	'B'	'C'	'C'
'A'	'B'	'B'	'D'
'C'	'C'	'B'	'D'
'B'	'D'	'C'	'B'
'C'	'B'	'C'	'A'
'D'	'C'	'C'	'C'
'B'	'C'	'C'	'D'
'B'	'C'	'A'	'B'
'D'	'C'	'B'	'D'
'D'	'D'	'B'	'A'
'B'	'C'	'A'	'D'
'C'	'D'	'A'	'C'
'C'	'C'	'B'	'C'
'C'	'C'	'B'	'A'
'C'	'C'	'C'	'A'
'C'	'C'	'A'	'A'
'B'	'C'	'C'	'D'
'B'	'C'	'A'	'C'
'C'	'C'	'B'	'D'
'D'	'D'	'A'	'B'
'D'	'C'	'B'	'D'
'D'	'D'	'D'	'D'
'D'	'D'	'B'	'B'
'C'	'C'	'D'	'D'
'B'	'C'	'C'	'B'
'C'	'C'	'C'	'C'
'B'	'C'	'B'	'D'
'C'	'D'	'B'	'D'
'B'	'C'	'A'	'D'
'C'	'C'	'C'	'C'
'C'	'C'	'B'	'D'
'B'	'C'	'B'	'D'
'C'	'C'	'A'	'C'
'B'	'D'	'B'	'C'
'B'	'C'	'B'	'D'
'B'	'C'	'A'	'D'
'D'	'D'	'C'	'C'
'C'	'C'	'B'	'D'
'C'	'C'	'B'	'C'
'C'	'D'	'A'	'D'
'C'	'D'	'C'	'B'
'A'	'A'	'B'	'C'
'C'	'C'	'C'	'C'
'C'	'C'	'B'	'D'
'B'	'C'	'B'	'D'
'B'	'C'	'A'	'D'
'C'	'C'	'A'	'C'
'D'	'C'	'B'	'C'
'D'	'D'	'B'	'C'
'B'	'C'	'B'	'D'
'B'	'C'	'A'	'D'
'D'	'C'	'B'	'C'
'A'	'B'	'C'	'D'
'C'	'D'	'D'	'C'
'B'	'C'	'C'	'B'
'D'	'D'	'A'	'C'
'C'	'C'	'C'	'C'
'C'	'D'	'B'	'C'
'D'	'C'	'C'	'D'
'B'	'C'	'B'	'C'
'D'	'C'	'B'	'C'

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \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=264647&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' @ jenkins.wessa.net[/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=264647&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264647&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
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
Stress x Depressie
ABCD
A141213
B341724
C571011
D0014

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Stress  x  Depressie
 \tabularnewline
  & A & B & C & D \tabularnewline
A & 1 & 4 & 12 & 13 \tabularnewline
B & 3 & 4 & 17 & 24 \tabularnewline
C & 5 & 7 & 10 & 11 \tabularnewline
D & 0 & 0 & 1 & 4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264647&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Stress  x  Depressie
[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]1[/C][C]4[/C][C]12[/C][C]13[/C][/ROW]
[C]B[/C][C]3[/C][C]4[/C][C]17[/C][C]24[/C][/ROW]
[C]C[/C][C]5[/C][C]7[/C][C]10[/C][C]11[/C][/ROW]
[C]D[/C][C]0[/C][C]0[/C][C]1[/C][C]4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264647&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264647&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Results
Stress x Depressie
ABCD
A141213
B341724
C571011
D0014






Tabulation of Expected Results
Stress x Depressie
ABCD
A2.333.8810.3413.45
B3.726.2116.5521.52
C2.564.2711.3814.79
D0.390.651.722.24

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Stress  x  Depressie
 \tabularnewline
  & A & B & C & D \tabularnewline
A & 2.33 & 3.88 & 10.34 & 13.45 \tabularnewline
B & 3.72 & 6.21 & 16.55 & 21.52 \tabularnewline
C & 2.56 & 4.27 & 11.38 & 14.79 \tabularnewline
D & 0.39 & 0.65 & 1.72 & 2.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264647&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Stress  x  Depressie
[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]2.33[/C][C]3.88[/C][C]10.34[/C][C]13.45[/C][/ROW]
[C]B[/C][C]3.72[/C][C]6.21[/C][C]16.55[/C][C]21.52[/C][/ROW]
[C]C[/C][C]2.56[/C][C]4.27[/C][C]11.38[/C][C]14.79[/C][/ROW]
[C]D[/C][C]0.39[/C][C]0.65[/C][C]1.72[/C][C]2.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264647&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264647&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
Stress x Depressie
ABCD
A2.333.8810.3413.45
B3.726.2116.5521.52
C2.564.2711.3814.79
D0.390.651.722.24






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic10.2
P value0.33

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 10.2 \tabularnewline
P value & 0.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264647&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]10.2[/C][/ROW]
[ROW][C]P value[/C][C]0.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264647&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264647&T=3

As an alternative you can also use a QR Code:  
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 Statistic10.2
P value0.33


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 5 ; par2 = 6 ; par3 = Exact Pearson Chi-Squared by Simulation ;
Parameters (R input):
par1 = 3 ; par2 = 4 ; 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')