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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 computationFri, 12 Dec 2014 16:53:09 +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/12/t14184031979pd0srvech6gw5b.htm/, Retrieved Thu, 16 May 2024 21:10:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266847, Retrieved Thu, 16 May 2024 21:10:07 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70

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] [] [2014-12-12 16:53:09] [d3a85ea23f6d8881e8b5a834ebd3a404] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.67 0.67
0.83 0.33
1 0.67
0.83 0
0.67 0
0 0
0.83 0.67
0.5 0.67
0.83 0
0.33 0.67
0.5 1
0.67 0
1 0
0.5 0.67
0.67 0.33
0.17 0.67
0.83 0.33
0.67 0.33
0.67 0.33
0.67 0
0.5 0.67
1 0.33
0.83 0.33
0.83 0.33
1 0.67
0.67 0
1 0.33
0.83 0.67
1 1
0.83 0.67
0.67 0.33
0.67 0
1 0.67
0.67 0.67
1 1
1 1
0.5 0.33
0.67 0
0.83 0.67
1 0.67
1 0.67
1 0.67
1 0.33
1 1
0.83 0.67
0.83 0.67
0.5 0
0.83 0
0.17 0
0.83 1
1 0.67
1 0
0.67 0.67
1 0
1 0
1 0.67
0.83 1
0.33 0
0.33 0.33
1 0.67
1 0.67
0.83 0
1 1
0.83 0.67
0.67 0
0.83 1
0.67 0.67
0.83 0.67
0.67 1
1 0
0.83 0.33
0.67 0.67
0.83 0.33
0.83 0.67
0.67 0
1 1
0.33 0
0.83 0.67
1 0.33
0.83 0
0.83 0
0.5 0.33
0.5 0
0.83 0.67
1 0.33
0.33 0.67
1 0.33
0.67 0.33
0.83 1
1 0.67
0.83 0
0.83 0.67
1 0.33
0.83 0
1 0.33
0.83 0
0.67 0
0.83 0.33
0.83 0.67
0.83 0.67
0.83 0.67
0.67 0.67
0.83 1
0 0
0.83 0
1 0
0.17 0
0.17 0
0.5 1
0.5 0.67
1 0
0.67 0.67
0.83 0.67
1 0
1 0.67
1 0.33
1 1
1 1
1 0
0.83 1
1 0.67
0.83 0.67
1 0
0.83 0.67
0.83 1
1 0.67
0.67 0
0.83 0
1 0
1 0.33
0.83 0.67
1 1
1 0
1 0.67
0.67 0.67
1 0.33
0.83 0.67
1 0.67
1 0.67
0.83 0.67
0.67 0.67
0.83 0.67
1 0.33
0 0
1 0.67
1 0
0.67 0.67
1 0
0.83 0
0.17 0
0.83 1
0.83 0
0.83 0.67
0.83 1
0.83 0
1 0.67
0.83 0
1 1
0.83 0.67
1 0.67
0.83 0.67
1 1
0.83 1
0.83 1
1 0.67
1 1
1 0.33
1 0.67
1 1
1 0.67
1 0.67
1 0.67
0.83 0.33
1 1
1 0.67
1 0.67
1 0.33
0.83 0.33
0.5 0
0.67 0.33
1 0.33
0.67 0.67
1 0
1 1
0.5 0.33
0.67 0.33
0.67 1
0.67 1
0.67 1
0.67 1
0.67 0
1 0.67
0.67 0.33
0.67 0.67
0.33 0.33
0.83 0.33
1 1
1 0.33
0.17 0
0.67 0.33
0.83 0.33
0.83 0.67
1 0.33
0.83 0
1 0.67
1 0.67
0.83 1
0.83 0
1 0.67
0 0
1 0.33
0.83 0.67
1 0.33
0.33 0
0.83 0
0.83 0.67
0.17 0
0.83 0.33
0.83 0.67
0.67 0.67
1 1
0.83 0
1 0
1 0.67
1 0
1 1
0.83 0.67
1 0.33
0.83 1
0.83 0.67
0.83 0.67
0 0
1 0.33
1 0.67
1 0.67
0 0
0.83 1
0.83 0.33
0.83 0
0 0
0.67 0
1 0.67
0.67 0
0.83 0.67
1 1
1 0.67
1 0.33
0.83 0.33
0.83 0.33
1 0
1 0.33
1 0
0.67 0.67
0.83 1
0.33 0.33
1 0.67
1 1
0.67 1
1 0.33
0.83 0.33
0.67 0
1 0.33
1 1
0.17 0
0.83 0.67
0.83 0.67
1 0.67
0.67 0.67
0.5 0
0.67 1
0.83 0.67
0.83 0
1 0.67
0.17 0
1 0.67
0.67 0.67
0.67 1
0.83 0.67
0.5 0.67

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266847&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266847&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266847&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 time2 seconds
R Server'George Udny Yule' @ yule.wessa.net






Tabulation of Results
Graphical_Interpretation x Proportionality_and_Ratio
00.330.671
07000
0.178010
0.333320
0.54352
0.67149168
0.8321163715
119254021

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Graphical_Interpretation  x  Proportionality_and_Ratio \tabularnewline
  & 0 & 0.33 & 0.67 & 1 \tabularnewline
0 & 7 & 0 & 0 & 0 \tabularnewline
0.17 & 8 & 0 & 1 & 0 \tabularnewline
0.33 & 3 & 3 & 2 & 0 \tabularnewline
0.5 & 4 & 3 & 5 & 2 \tabularnewline
0.67 & 14 & 9 & 16 & 8 \tabularnewline
0.83 & 21 & 16 & 37 & 15 \tabularnewline
1 & 19 & 25 & 40 & 21 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266847&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Graphical_Interpretation  x  Proportionality_and_Ratio[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]0.33[/C][C]0.67[/C][C]1[/C][/ROW]
[C]0[/C][C]7[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]0.17[/C][C]8[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]0.33[/C][C]3[/C][C]3[/C][C]2[/C][C]0[/C][/ROW]
[C]0.5[/C][C]4[/C][C]3[/C][C]5[/C][C]2[/C][/ROW]
[C]0.67[/C][C]14[/C][C]9[/C][C]16[/C][C]8[/C][/ROW]
[C]0.83[/C][C]21[/C][C]16[/C][C]37[/C][C]15[/C][/ROW]
[C]1[/C][C]19[/C][C]25[/C][C]40[/C][C]21[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266847&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266847&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
Graphical_Interpretation x Proportionality_and_Ratio
00.330.671
07000
0.178010
0.333320
0.54352
0.67149168
0.8321163715
119254021






Tabulation of Expected Results
Graphical_Interpretation x Proportionality_and_Ratio
00.330.671
01.911.412.531.15
0.172.451.813.261.48
0.332.181.612.91.32
0.53.812.815.072.31
0.6712.89.4317.017.75
0.8324.2417.8632.2214.67
128.621.0838.0117.31

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Graphical_Interpretation  x  Proportionality_and_Ratio \tabularnewline
  & 0 & 0.33 & 0.67 & 1 \tabularnewline
0 & 1.91 & 1.41 & 2.53 & 1.15 \tabularnewline
0.17 & 2.45 & 1.81 & 3.26 & 1.48 \tabularnewline
0.33 & 2.18 & 1.61 & 2.9 & 1.32 \tabularnewline
0.5 & 3.81 & 2.81 & 5.07 & 2.31 \tabularnewline
0.67 & 12.8 & 9.43 & 17.01 & 7.75 \tabularnewline
0.83 & 24.24 & 17.86 & 32.22 & 14.67 \tabularnewline
1 & 28.6 & 21.08 & 38.01 & 17.31 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266847&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Graphical_Interpretation  x  Proportionality_and_Ratio[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]0.33[/C][C]0.67[/C][C]1[/C][/ROW]
[C]0[/C][C]1.91[/C][C]1.41[/C][C]2.53[/C][C]1.15[/C][/ROW]
[C]0.17[/C][C]2.45[/C][C]1.81[/C][C]3.26[/C][C]1.48[/C][/ROW]
[C]0.33[/C][C]2.18[/C][C]1.61[/C][C]2.9[/C][C]1.32[/C][/ROW]
[C]0.5[/C][C]3.81[/C][C]2.81[/C][C]5.07[/C][C]2.31[/C][/ROW]
[C]0.67[/C][C]12.8[/C][C]9.43[/C][C]17.01[/C][C]7.75[/C][/ROW]
[C]0.83[/C][C]24.24[/C][C]17.86[/C][C]32.22[/C][C]14.67[/C][/ROW]
[C]1[/C][C]28.6[/C][C]21.08[/C][C]38.01[/C][C]17.31[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266847&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266847&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
Graphical_Interpretation x Proportionality_and_Ratio
00.330.671
01.911.412.531.15
0.172.451.813.261.48
0.332.181.612.91.32
0.53.812.815.072.31
0.6712.89.4317.017.75
0.8324.2417.8632.2214.67
128.621.0838.0117.31






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic45.68
P value0

\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 & 45.68 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266847&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]45.68[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266847&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266847&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 Statistic45.68
P value0


Figures (Output of Computation)

Input Parameters & R Code

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=='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')