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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 computationWed, 19 Aug 2015 13:17:15 +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/2015/Aug/19/t1439986650v2l89lte3zq3wbu.htm/, Retrieved Wed, 15 May 2024 12:53:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280273, Retrieved Wed, 15 May 2024 12:53:51 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140

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] [hi i2] [2015-08-19 11:04:54] [5b73c907efdd91cd8d467e65f28ae5f1]
-    D    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2015-08-19 12:17:15] [14340d7aca2fd6511ec0e21a84917c95] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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0	18
0	20
0	9
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0	12
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0	12
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1	22
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1	19
1	19
1	21
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1	17
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1	11
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1	18
1	20
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0	16
1	21
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0	22
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1	9
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1	24
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1	16
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1	15
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1	13
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1	10
1	16
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1	17
1	13
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1	16
0	14
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0	15
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1	14
1	7
0	11
1	17
1	19
0	17
1	12
1	12
1	18
1	16
1	15
1	20
1	16
1	12
1	10
1	28
1	19
1	18
1	19
1	8
1	17
1	16
1	18
0	12
1	17
1	13

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'Sir Ronald Aylmer Fisher' @ fisher.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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280273&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280273&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280273&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Tabulation of Results
B-S x I3
45678910111213141516171819202122232428
011273512111481014191477525101
1110476799127711131011765211

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
B-S  x  I3 \tabularnewline
  & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 28 \tabularnewline
0 & 1 & 1 & 2 & 7 & 3 & 5 & 12 & 11 & 14 & 8 & 10 & 14 & 19 & 14 & 7 & 7 & 5 & 2 & 5 & 1 & 0 & 1 \tabularnewline
1 & 1 & 1 & 0 & 4 & 7 & 6 & 7 & 9 & 9 & 12 & 7 & 7 & 11 & 13 & 10 & 11 & 7 & 6 & 5 & 2 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280273&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]B-S  x  I3[/C][/ROW]
[ROW][C] [/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]28[/C][/ROW]
[C]0[/C][C]1[/C][C]1[/C][C]2[/C][C]7[/C][C]3[/C][C]5[/C][C]12[/C][C]11[/C][C]14[/C][C]8[/C][C]10[/C][C]14[/C][C]19[/C][C]14[/C][C]7[/C][C]7[/C][C]5[/C][C]2[/C][C]5[/C][C]1[/C][C]0[/C][C]1[/C][/ROW]
[C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]4[/C][C]7[/C][C]6[/C][C]7[/C][C]9[/C][C]9[/C][C]12[/C][C]7[/C][C]7[/C][C]11[/C][C]13[/C][C]10[/C][C]11[/C][C]7[/C][C]6[/C][C]5[/C][C]2[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280273&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280273&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
B-S x I3
45678910111213141516171819202122232428
011273512111481014191477525101
1110476799127711131011765211






Tabulation of Expected Results
B-S x I3
45678910111213141516171819202122232428
01.041.041.045.735.215.739.910.4211.9810.428.8610.9415.6314.078.869.386.254.175.211.560.521.04
10.960.960.965.274.795.279.19.5811.029.588.1410.0614.3712.938.148.625.753.834.791.440.480.96

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
B-S  x  I3 \tabularnewline
  & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 28 \tabularnewline
0 & 1.04 & 1.04 & 1.04 & 5.73 & 5.21 & 5.73 & 9.9 & 10.42 & 11.98 & 10.42 & 8.86 & 10.94 & 15.63 & 14.07 & 8.86 & 9.38 & 6.25 & 4.17 & 5.21 & 1.56 & 0.52 & 1.04 \tabularnewline
1 & 0.96 & 0.96 & 0.96 & 5.27 & 4.79 & 5.27 & 9.1 & 9.58 & 11.02 & 9.58 & 8.14 & 10.06 & 14.37 & 12.93 & 8.14 & 8.62 & 5.75 & 3.83 & 4.79 & 1.44 & 0.48 & 0.96 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280273&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]B-S  x  I3[/C][/ROW]
[ROW][C] [/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]28[/C][/ROW]
[C]0[/C][C]1.04[/C][C]1.04[/C][C]1.04[/C][C]5.73[/C][C]5.21[/C][C]5.73[/C][C]9.9[/C][C]10.42[/C][C]11.98[/C][C]10.42[/C][C]8.86[/C][C]10.94[/C][C]15.63[/C][C]14.07[/C][C]8.86[/C][C]9.38[/C][C]6.25[/C][C]4.17[/C][C]5.21[/C][C]1.56[/C][C]0.52[/C][C]1.04[/C][/ROW]
[C]1[/C][C]0.96[/C][C]0.96[/C][C]0.96[/C][C]5.27[/C][C]4.79[/C][C]5.27[/C][C]9.1[/C][C]9.58[/C][C]11.02[/C][C]9.58[/C][C]8.14[/C][C]10.06[/C][C]14.37[/C][C]12.93[/C][C]8.14[/C][C]8.62[/C][C]5.75[/C][C]3.83[/C][C]4.79[/C][C]1.44[/C][C]0.48[/C][C]0.96[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280273&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280273&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
B-S x I3
45678910111213141516171819202122232428
01.041.041.045.735.215.739.910.4211.9810.428.8610.9415.6314.078.869.386.254.175.211.560.521.04
10.960.960.965.274.795.279.19.5811.029.588.1410.0614.3712.938.148.625.753.834.791.440.480.96






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic17.56
P value0.71

\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 & 17.56 \tabularnewline
P value & 0.71 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280273&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]17.56[/C][/ROW]
[ROW][C]P value[/C][C]0.71[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280273&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280273&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 Statistic17.56
P value0.71


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; par2 = 1 ; par3 = TRUE ;
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')