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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 computationSat, 23 Dec 2017 00:02:37 +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/2017/Dec/23/t1513983898ufxsfb68jjv69q8.htm/, Retrieved Wed, 15 May 2024 09:17:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310848, Retrieved Wed, 15 May 2024 09:17:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact93

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] [] [2017-12-22 23:02:37] [9d2ffbf59c19b3f041534e1f30ecaa44] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3	2
3	7
3	4
2	5
3	2
2	5
3	5
2	4
1	2
3	5
2	3
4	2
1	2
1	2
3	4
1	4
2	5
3	3
2	4
3	4
3	4
1	2
3	4
3	5
3	7
3	3
3	1
3	2
3	3
1	3
1	4
1	2
3	4
3	4
2	4
2	4
3	2
2	2
3	4
3	3
3	2
2	3
1	1
3	3
3	2
3	4
1	4
1	2
3	6
3	5
2	4
3	3
1	4
3	3
3	7
3	3
1	4
3	3
2	2
1	3
1	5
2	4
3	3
2	4
3	4
3	2
2	5
4	4
1	7
2	3
3	3
1	4
1	3
2	4
2	3
3	7
3	1
1	3
2	5
2	2
3	4
3	3
2	5
3	3
2	6
4	3
1	4
3	4
2	7
2	4
2	4
3	3
2	3
1	4
4	3
3	3
3	4
1	4
2	4
1	4
2	3
3	3
3	2
3	3
3	2
3	2
4	5
1	2
3	4
3	4
3	4
3	5
1	2
4	4
3	7
3	3
3	5
1	3
3	5
1	3
2	4
2	4
1	2
1	4
3	5
3	3
3	3
3	4
4	4
3	4
3	3
3	4
2	2
1	2
1	4
3	3
1	3
2	2
2	4
1	4
2	3
1	5
1	4
3	5
3	3
2	4
3	3
2	3
3	6
3	2
3	2
3	7

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310848&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310848&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310848&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 time2 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
Light x Type
1234567
1110714201
205815611
32122419926
40123100

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Light  x  Type \tabularnewline
  & 1 & 2 & 3 & 4 & 5 & 6 & 7 \tabularnewline
1 & 1 & 10 & 7 & 14 & 2 & 0 & 1 \tabularnewline
2 & 0 & 5 & 8 & 15 & 6 & 1 & 1 \tabularnewline
3 & 2 & 12 & 24 & 19 & 9 & 2 & 6 \tabularnewline
4 & 0 & 1 & 2 & 3 & 1 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310848&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Light  x  Type[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][/ROW]
[C]1[/C][C]1[/C][C]10[/C][C]7[/C][C]14[/C][C]2[/C][C]0[/C][C]1[/C][/ROW]
[C]2[/C][C]0[/C][C]5[/C][C]8[/C][C]15[/C][C]6[/C][C]1[/C][C]1[/C][/ROW]
[C]3[/C][C]2[/C][C]12[/C][C]24[/C][C]19[/C][C]9[/C][C]2[/C][C]6[/C][/ROW]
[C]4[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310848&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310848&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
Light x Type
1234567
1110714201
205815611
32122419926
40123100






Tabulation of Expected Results
Light x Type
1234567
10.696.459.4411.744.140.691.84
20.716.639.7112.084.260.711.89
31.4613.6319.9624.838.761.463.89
40.141.291.892.350.830.140.37

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Light  x  Type \tabularnewline
  & 1 & 2 & 3 & 4 & 5 & 6 & 7 \tabularnewline
1 & 0.69 & 6.45 & 9.44 & 11.74 & 4.14 & 0.69 & 1.84 \tabularnewline
2 & 0.71 & 6.63 & 9.71 & 12.08 & 4.26 & 0.71 & 1.89 \tabularnewline
3 & 1.46 & 13.63 & 19.96 & 24.83 & 8.76 & 1.46 & 3.89 \tabularnewline
4 & 0.14 & 1.29 & 1.89 & 2.35 & 0.83 & 0.14 & 0.37 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310848&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Light  x  Type[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][/ROW]
[C]1[/C][C]0.69[/C][C]6.45[/C][C]9.44[/C][C]11.74[/C][C]4.14[/C][C]0.69[/C][C]1.84[/C][/ROW]
[C]2[/C][C]0.71[/C][C]6.63[/C][C]9.71[/C][C]12.08[/C][C]4.26[/C][C]0.71[/C][C]1.89[/C][/ROW]
[C]3[/C][C]1.46[/C][C]13.63[/C][C]19.96[/C][C]24.83[/C][C]8.76[/C][C]1.46[/C][C]3.89[/C][/ROW]
[C]4[/C][C]0.14[/C][C]1.29[/C][C]1.89[/C][C]2.35[/C][C]0.83[/C][C]0.14[/C][C]0.37[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310848&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310848&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
Light x Type
1234567
10.696.459.4411.744.140.691.84
20.716.639.7112.084.260.711.89
31.4613.6319.9624.838.761.463.89
40.141.291.892.350.830.140.37






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic13.57
Degrees of Freedom18
P value0.76

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 13.57 \tabularnewline
Degrees of Freedom & 18 \tabularnewline
P value & 0.76 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310848&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]13.57[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]18[/C][/ROW]
[ROW][C]P value[/C][C]0.76[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310848&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310848&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
Pearson Chi Square Statistic13.57
Degrees of Freedom18
P value0.76


Figures (Output of Computation)

Input Parameters & R Code

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=='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')