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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 computationSun, 18 Dec 2016 18:21:50 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/18/t14820820477nq9awl3y1lfabc.htm/, Retrieved Wed, 08 May 2024 19:42:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301197, Retrieved Wed, 08 May 2024 19:42:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact72

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2016-12-18 17:21:50] [c6ea875f0603e0876d03f43aca979571] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3	3
4	4
4	5
4	5
3	5
4	5
3	4
5	4
4	4
4	4
3	5
3	4
3	4
4	4
4	4
2	5
3	3
3	5
4	4
4	4
4	5
3	4
4	4
3	5
3	5
3	3
4	5
4	4
3	4
3	3
3	5
2	3
4	4
5	4
3	4
3	5
4	4
3	4
3	4
4	5
3	4
5	4
4	4
4	4
4	5
4	4
4	4
3	5
4	4
4	5
3	5
3	5
4	4
3	2
3	5
3	5
3	4
3	4
3	4
4	4
3	4
4	3
3	4
4	4
3	4
4	4
3	4
3	4
3	4
4	4
3	4
3	3
3	4
4	3
5	5
4	5
3	5
3	4
3	5
3	4
3	5
4	4
3	4
2	4
2	3
3	5
4	5
2	4
4	5
3	4
4	4

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301197&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=301197&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301197&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
GW4 x TVDC3
2345
20221
3152416
4022311
50031

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
GW4  x  TVDC3 \tabularnewline
  & 2 & 3 & 4 & 5 \tabularnewline
2 & 0 & 2 & 2 & 1 \tabularnewline
3 & 1 & 5 & 24 & 16 \tabularnewline
4 & 0 & 2 & 23 & 11 \tabularnewline
5 & 0 & 0 & 3 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301197&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]GW4  x  TVDC3[/C][/ROW]
[ROW][C] [/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]2[/C][C]0[/C][C]2[/C][C]2[/C][C]1[/C][/ROW]
[C]3[/C][C]1[/C][C]5[/C][C]24[/C][C]16[/C][/ROW]
[C]4[/C][C]0[/C][C]2[/C][C]23[/C][C]11[/C][/ROW]
[C]5[/C][C]0[/C][C]0[/C][C]3[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301197&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301197&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
GW4 x TVDC3
2345
20221
3152416
4022311
50031






Tabulation of Expected Results
GW4 x TVDC3
2345
20.050.492.861.59
30.514.5526.2914.66
40.43.5620.5711.47
50.040.42.291.27

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
GW4  x  TVDC3 \tabularnewline
  & 2 & 3 & 4 & 5 \tabularnewline
2 & 0.05 & 0.49 & 2.86 & 1.59 \tabularnewline
3 & 0.51 & 4.55 & 26.29 & 14.66 \tabularnewline
4 & 0.4 & 3.56 & 20.57 & 11.47 \tabularnewline
5 & 0.04 & 0.4 & 2.29 & 1.27 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301197&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]GW4  x  TVDC3[/C][/ROW]
[ROW][C] [/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]2[/C][C]0.05[/C][C]0.49[/C][C]2.86[/C][C]1.59[/C][/ROW]
[C]3[/C][C]0.51[/C][C]4.55[/C][C]26.29[/C][C]14.66[/C][/ROW]
[C]4[/C][C]0.4[/C][C]3.56[/C][C]20.57[/C][C]11.47[/C][/ROW]
[C]5[/C][C]0.04[/C][C]0.4[/C][C]2.29[/C][C]1.27[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301197&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301197&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
GW4 x TVDC3
2345
20.050.492.861.59
30.514.5526.2914.66
40.43.5620.5711.47
50.040.42.291.27






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic8.07
P value0.4

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Exact Pearson Chi Square Statistic & 8.07 \tabularnewline
P value & 0.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301197&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]Exact Pearson Chi Square Statistic[/C][C]8.07[/C][/ROW]
[ROW][C]P value[/C][C]0.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301197&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301197&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)
Exact Pearson Chi Square Statistic8.07
P value0.4


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par2 = grey ; par3 = FALSE ; par4 = 5-point Likert ;
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=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
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)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
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')