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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 computationTue, 18 Aug 2015 22:52:23 +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/18/t14399348427kz891yfqa11dws.htm/, Retrieved Thu, 31 Oct 2024 23:31:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280253, Retrieved Thu, 31 Oct 2024 23:31:36 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact166
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 I1] [2015-08-18 21:52:23] [14340d7aca2fd6511ec0e21a84917c95] [Current]
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Dataseries X:
0	11
0	15
0	19
0	16
0	24
0	15
0	17
0	19
0	19
0	28
0	26
0	15
0	26
0	16
0	24
0	25
1	22
0	15
0	21
1	22
0	27
0	26
0	26
0	22
0	21
0	22
0	20
1	21
1	20
0	22
0	21
0	8
0	22
0	18
0	20
0	24
0	17
0	20
0	23
1	20
0	22
0	19
0	15
0	20
0	22
0	17
1	14
0	24
0	17
1	23
0	25
1	16
1	18
1	20
0	18
1	23
0	24
0	23
1	13
0	20
1	20
1	19
0	22
0	22
0	15
0	17
0	19
1	20
0	22
0	21
0	21
1	16
0	20
0	21
1	20
1	23
0	15
0	18
0	16
1	17
0	24
1	13
0	19
1	20
1	22
1	19
1	21
1	15
1	21
1	24
1	22
1	20
1	21
1	19
1	14
1	25
1	11
1	17
1	22
1	20
1	22
1	15
1	23
1	20
1	22
1	16
1	25
1	18
1	19
1	25
1	21
1	22
1	21
1	22
1	23
0	20
0	6
0	15
0	18
1	24
1	22
0	21
0	23
0	20
0	20
0	18
0	25
0	16
0	20
0	14
0	22
1	26
0	20
0	17
0	22
0	22
0	20
0	17
0	22
0	17
0	22
0	21
0	25
1	11
0	19
0	24
0	17
0	22
0	22
0	17
0	26
0	19
0	20
0	19
0	21
0	24
0	21
0	19
0	13
1	24
1	28
0	27
0	22
1	23
1	19
1	18
1	23
0	21
0	22
1	17
1	15
1	21
1	20
1	26
1	19
1	28
1	21
1	19
0	22
0	21
1	20
0	19
0	11
1	17
0	19
1	20
1	17
0	21
1	21
1	12
1	23
1	22
1	22
1	21
1	20
1	18
1	21
1	24
1	22
1	20
1	17
0	19
1	16
1	19
1	23
0	8
1	22
0	23
1	15
0	17
1	21
0	25
1	18
1	23
1	20
1	21
1	21
0	24
0	22
1	22
0	23
0	17
1	15
0	24
0	22
1	19
1	18
0	21
1	20
0	19
0	19
0	16
1	18
0	23
1	22
0	23
0	20
0	24
0	25
1	25
0	20
0	23
0	21
1	23
0	23
0	11
1	21
0	27
1	19
1	21
1	16
0	22
1	21
1	22
0	16
0	18
0	23
0	24
0	20
0	20
1	18
1	4
0	14
1	22
1	17
0	23
1	20
1	18
1	19
1	20
1	15
1	24
1	21
1	19
1	19
1	27
1	23
1	23
1	20
1	17
1	21
1	23
1	22
0	16
1	20
1	16
	




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=280253&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=280253&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280253&T=0

As an alternative you can also use a 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 I1
468111213141516171819202122232425262728
00123012871261517152211126531
110021226689132119191454212

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
B-S  x  I1 \tabularnewline
  & 4 & 6 & 8 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 \tabularnewline
0 & 0 & 1 & 2 & 3 & 0 & 1 & 2 & 8 & 7 & 12 & 6 & 15 & 17 & 15 & 22 & 11 & 12 & 6 & 5 & 3 & 1 \tabularnewline
1 & 1 & 0 & 0 & 2 & 1 & 2 & 2 & 6 & 6 & 8 & 9 & 13 & 21 & 19 & 19 & 14 & 5 & 4 & 2 & 1 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280253&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]B-S  x  I1[/C][/ROW]
[ROW][C] [/C][C]4[/C][C]6[/C][C]8[/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]25[/C][C]26[/C][C]27[/C][C]28[/C][/ROW]
[C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]3[/C][C]0[/C][C]1[/C][C]2[/C][C]8[/C][C]7[/C][C]12[/C][C]6[/C][C]15[/C][C]17[/C][C]15[/C][C]22[/C][C]11[/C][C]12[/C][C]6[/C][C]5[/C][C]3[/C][C]1[/C][/ROW]
[C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]2[/C][C]2[/C][C]6[/C][C]6[/C][C]8[/C][C]9[/C][C]13[/C][C]21[/C][C]19[/C][C]19[/C][C]14[/C][C]5[/C][C]4[/C][C]2[/C][C]1[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280253&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280253&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Tabulation of Results
B-S x I1
468111213141516171819202122232425262728
00123012871261517152211126531
110021226689132119191454212







Tabulation of Expected Results
B-S x I1
468111213141516171819202122232425262728
00.520.521.042.60.521.562.087.296.7710.427.8114.5919.817.7121.3613.028.865.213.652.081.56
10.480.480.962.40.481.441.926.716.239.587.1913.4118.216.2919.6411.988.144.793.351.921.44

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
B-S  x  I1 \tabularnewline
  & 4 & 6 & 8 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 \tabularnewline
0 & 0.52 & 0.52 & 1.04 & 2.6 & 0.52 & 1.56 & 2.08 & 7.29 & 6.77 & 10.42 & 7.81 & 14.59 & 19.8 & 17.71 & 21.36 & 13.02 & 8.86 & 5.21 & 3.65 & 2.08 & 1.56 \tabularnewline
1 & 0.48 & 0.48 & 0.96 & 2.4 & 0.48 & 1.44 & 1.92 & 6.71 & 6.23 & 9.58 & 7.19 & 13.41 & 18.2 & 16.29 & 19.64 & 11.98 & 8.14 & 4.79 & 3.35 & 1.92 & 1.44 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280253&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]B-S  x  I1[/C][/ROW]
[ROW][C] [/C][C]4[/C][C]6[/C][C]8[/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]25[/C][C]26[/C][C]27[/C][C]28[/C][/ROW]
[C]0[/C][C]0.52[/C][C]0.52[/C][C]1.04[/C][C]2.6[/C][C]0.52[/C][C]1.56[/C][C]2.08[/C][C]7.29[/C][C]6.77[/C][C]10.42[/C][C]7.81[/C][C]14.59[/C][C]19.8[/C][C]17.71[/C][C]21.36[/C][C]13.02[/C][C]8.86[/C][C]5.21[/C][C]3.65[/C][C]2.08[/C][C]1.56[/C][/ROW]
[C]1[/C][C]0.48[/C][C]0.48[/C][C]0.96[/C][C]2.4[/C][C]0.48[/C][C]1.44[/C][C]1.92[/C][C]6.71[/C][C]6.23[/C][C]9.58[/C][C]7.19[/C][C]13.41[/C][C]18.2[/C][C]16.29[/C][C]19.64[/C][C]11.98[/C][C]8.14[/C][C]4.79[/C][C]3.35[/C][C]1.92[/C][C]1.44[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280253&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280253&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
B-S x I1
468111213141516171819202122232425262728
00.520.521.042.60.521.562.087.296.7710.427.8114.5919.817.7121.3613.028.865.213.652.081.56
10.480.480.962.40.481.441.926.716.239.587.1913.4118.216.2919.6411.988.144.793.351.921.44







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic14.33
Degrees of Freedom20
P value0.81

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 14.33 \tabularnewline
Degrees of Freedom & 20 \tabularnewline
P value & 0.81 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280253&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]14.33[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]20[/C][/ROW]
[ROW][C]P value[/C][C]0.81[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280253&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280253&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic14.33
Degrees of Freedom20
P value0.81



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