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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 computationThu, 14 Dec 2017 15:15:10 +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/14/t15132609209vhevhjytorlrm6.htm/, Retrieved Tue, 14 May 2024 23:58:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309508, Retrieved Tue, 14 May 2024 23:58:37 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106

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] [Chi] [2017-12-14 14:15:10] [e3ae876b7ee0a8c2582bae547f35f1b8] [Current]
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Dataset

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

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=309508&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=309508&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309508&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
V1 x V2
12345
133200
21271230
351847225
46206413137
51371424

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
V1  x  V2 \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 3 & 3 & 2 & 0 & 0 \tabularnewline
2 & 12 & 7 & 12 & 3 & 0 \tabularnewline
3 & 5 & 18 & 47 & 22 & 5 \tabularnewline
4 & 6 & 20 & 64 & 131 & 37 \tabularnewline
5 & 1 & 3 & 7 & 14 & 24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309508&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]V1  x  V2[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]3[/C][C]3[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[C]2[/C][C]12[/C][C]7[/C][C]12[/C][C]3[/C][C]0[/C][/ROW]
[C]3[/C][C]5[/C][C]18[/C][C]47[/C][C]22[/C][C]5[/C][/ROW]
[C]4[/C][C]6[/C][C]20[/C][C]64[/C][C]131[/C][C]37[/C][/ROW]
[C]5[/C][C]1[/C][C]3[/C][C]7[/C][C]14[/C][C]24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309508&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309508&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
V1 x V2
12345
133200
21271230
351847225
46206413137
51371424






Tabulation of Expected Results
V1 x V2
12345
10.480.912.373.051.18
22.063.8910.0612.965.03
35.8711.0928.7136.9714.35
415.6229.576.3698.3438.18
52.975.614.518.687.25

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
V1  x  V2 \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.48 & 0.91 & 2.37 & 3.05 & 1.18 \tabularnewline
2 & 2.06 & 3.89 & 10.06 & 12.96 & 5.03 \tabularnewline
3 & 5.87 & 11.09 & 28.71 & 36.97 & 14.35 \tabularnewline
4 & 15.62 & 29.5 & 76.36 & 98.34 & 38.18 \tabularnewline
5 & 2.97 & 5.6 & 14.5 & 18.68 & 7.25 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309508&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]V1  x  V2[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0.48[/C][C]0.91[/C][C]2.37[/C][C]3.05[/C][C]1.18[/C][/ROW]
[C]2[/C][C]2.06[/C][C]3.89[/C][C]10.06[/C][C]12.96[/C][C]5.03[/C][/ROW]
[C]3[/C][C]5.87[/C][C]11.09[/C][C]28.71[/C][C]36.97[/C][C]14.35[/C][/ROW]
[C]4[/C][C]15.62[/C][C]29.5[/C][C]76.36[/C][C]98.34[/C][C]38.18[/C][/ROW]
[C]5[/C][C]2.97[/C][C]5.6[/C][C]14.5[/C][C]18.68[/C][C]7.25[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309508&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309508&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
V1 x V2
12345
10.480.912.373.051.18
22.063.8910.0612.965.03
35.8711.0928.7136.9714.35
415.6229.576.3698.3438.18
52.975.614.518.687.25






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic182.04
Degrees of Freedom16
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 182.04 \tabularnewline
Degrees of Freedom & 16 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309508&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]182.04[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]16[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309508&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309508&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 Statistic182.04
Degrees of Freedom16
P value0


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):
par3 <- 'Pearson Chi-Squared'
par2 <- '2'
par1 <- '1'
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')