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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 computationMon, 22 Oct 2012 17:49:25 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/22/t1350942581a9qnicqy45nclti.htm/, Retrieved Fri, 03 May 2024 21:32:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=182454, Retrieved Fri, 03 May 2024 21:32:36 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact72
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] [separate en happi...] [2012-10-22 21:49:25] [12383fa010e7b5252e187b5f14cfe683] [Current]
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Dataseries X:
38	14
32	18
35	11
33	12
37	16
29	18
31	14
36	14
35	15
38	15
31	17
34	19
35	10
38	16
37	18
33	14
32	14
38	17
38	14
32	16
33	18
31	11
38	14
39	12
32	17
32	9
35	16
37	14
33	15
33	11
28	16
32	13
31	17
37	15
30	14
33	16
31	9
33	15
31	17




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182454&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]3 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=182454&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182454&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Tabulation of Results
A x B
910111213141516171819
2800000001000
2900000000010
3000000100000
3110100100300
3210001101110
3300110121010
3400000000001
3501100011000
3600000100000
3700000111010
3800000311100
3900010000000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
A  x  B \tabularnewline
  & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \tabularnewline
28 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
29 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \tabularnewline
30 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
31 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 0 \tabularnewline
32 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 & 1 & 0 \tabularnewline
33 & 0 & 0 & 1 & 1 & 0 & 1 & 2 & 1 & 0 & 1 & 0 \tabularnewline
34 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline
35 & 0 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 0 \tabularnewline
36 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
37 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 0 \tabularnewline
38 & 0 & 0 & 0 & 0 & 0 & 3 & 1 & 1 & 1 & 0 & 0 \tabularnewline
39 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182454&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/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][/ROW]
[C]28[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]29[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]30[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]31[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/C][C]0[/C][/ROW]
[C]32[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[C]33[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]34[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]35[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]36[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]37[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]38[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]39[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182454&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182454&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
A x B
910111213141516171819
2800000001000
2900000000010
3000000100000
3110100100300
3210001101110
3300110121010
3400000000001
3501100011000
3600000100000
3700000111010
3800000311100
3900010000000







Tabulation of Expected Results
A x B
910111213141516171819
280.050.030.080.050.030.230.130.150.130.10.03
290.050.030.080.050.030.230.130.150.130.10.03
300.050.030.080.050.030.230.130.150.130.10.03
310.310.150.460.310.151.380.770.920.770.620.15
320.310.150.460.310.151.380.770.920.770.620.15
330.360.180.540.360.181.620.91.080.90.720.18
340.050.030.080.050.030.230.130.150.130.10.03
350.210.10.310.210.10.920.510.620.510.410.1
360.050.030.080.050.030.230.130.150.130.10.03
370.210.10.310.210.10.920.510.620.510.410.1
380.310.150.460.310.151.380.770.920.770.620.15
390.050.030.080.050.030.230.130.150.130.10.03

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
A  x  B \tabularnewline
  & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \tabularnewline
28 & 0.05 & 0.03 & 0.08 & 0.05 & 0.03 & 0.23 & 0.13 & 0.15 & 0.13 & 0.1 & 0.03 \tabularnewline
29 & 0.05 & 0.03 & 0.08 & 0.05 & 0.03 & 0.23 & 0.13 & 0.15 & 0.13 & 0.1 & 0.03 \tabularnewline
30 & 0.05 & 0.03 & 0.08 & 0.05 & 0.03 & 0.23 & 0.13 & 0.15 & 0.13 & 0.1 & 0.03 \tabularnewline
31 & 0.31 & 0.15 & 0.46 & 0.31 & 0.15 & 1.38 & 0.77 & 0.92 & 0.77 & 0.62 & 0.15 \tabularnewline
32 & 0.31 & 0.15 & 0.46 & 0.31 & 0.15 & 1.38 & 0.77 & 0.92 & 0.77 & 0.62 & 0.15 \tabularnewline
33 & 0.36 & 0.18 & 0.54 & 0.36 & 0.18 & 1.62 & 0.9 & 1.08 & 0.9 & 0.72 & 0.18 \tabularnewline
34 & 0.05 & 0.03 & 0.08 & 0.05 & 0.03 & 0.23 & 0.13 & 0.15 & 0.13 & 0.1 & 0.03 \tabularnewline
35 & 0.21 & 0.1 & 0.31 & 0.21 & 0.1 & 0.92 & 0.51 & 0.62 & 0.51 & 0.41 & 0.1 \tabularnewline
36 & 0.05 & 0.03 & 0.08 & 0.05 & 0.03 & 0.23 & 0.13 & 0.15 & 0.13 & 0.1 & 0.03 \tabularnewline
37 & 0.21 & 0.1 & 0.31 & 0.21 & 0.1 & 0.92 & 0.51 & 0.62 & 0.51 & 0.41 & 0.1 \tabularnewline
38 & 0.31 & 0.15 & 0.46 & 0.31 & 0.15 & 1.38 & 0.77 & 0.92 & 0.77 & 0.62 & 0.15 \tabularnewline
39 & 0.05 & 0.03 & 0.08 & 0.05 & 0.03 & 0.23 & 0.13 & 0.15 & 0.13 & 0.1 & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182454&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/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][/ROW]
[C]28[/C][C]0.05[/C][C]0.03[/C][C]0.08[/C][C]0.05[/C][C]0.03[/C][C]0.23[/C][C]0.13[/C][C]0.15[/C][C]0.13[/C][C]0.1[/C][C]0.03[/C][/ROW]
[C]29[/C][C]0.05[/C][C]0.03[/C][C]0.08[/C][C]0.05[/C][C]0.03[/C][C]0.23[/C][C]0.13[/C][C]0.15[/C][C]0.13[/C][C]0.1[/C][C]0.03[/C][/ROW]
[C]30[/C][C]0.05[/C][C]0.03[/C][C]0.08[/C][C]0.05[/C][C]0.03[/C][C]0.23[/C][C]0.13[/C][C]0.15[/C][C]0.13[/C][C]0.1[/C][C]0.03[/C][/ROW]
[C]31[/C][C]0.31[/C][C]0.15[/C][C]0.46[/C][C]0.31[/C][C]0.15[/C][C]1.38[/C][C]0.77[/C][C]0.92[/C][C]0.77[/C][C]0.62[/C][C]0.15[/C][/ROW]
[C]32[/C][C]0.31[/C][C]0.15[/C][C]0.46[/C][C]0.31[/C][C]0.15[/C][C]1.38[/C][C]0.77[/C][C]0.92[/C][C]0.77[/C][C]0.62[/C][C]0.15[/C][/ROW]
[C]33[/C][C]0.36[/C][C]0.18[/C][C]0.54[/C][C]0.36[/C][C]0.18[/C][C]1.62[/C][C]0.9[/C][C]1.08[/C][C]0.9[/C][C]0.72[/C][C]0.18[/C][/ROW]
[C]34[/C][C]0.05[/C][C]0.03[/C][C]0.08[/C][C]0.05[/C][C]0.03[/C][C]0.23[/C][C]0.13[/C][C]0.15[/C][C]0.13[/C][C]0.1[/C][C]0.03[/C][/ROW]
[C]35[/C][C]0.21[/C][C]0.1[/C][C]0.31[/C][C]0.21[/C][C]0.1[/C][C]0.92[/C][C]0.51[/C][C]0.62[/C][C]0.51[/C][C]0.41[/C][C]0.1[/C][/ROW]
[C]36[/C][C]0.05[/C][C]0.03[/C][C]0.08[/C][C]0.05[/C][C]0.03[/C][C]0.23[/C][C]0.13[/C][C]0.15[/C][C]0.13[/C][C]0.1[/C][C]0.03[/C][/ROW]
[C]37[/C][C]0.21[/C][C]0.1[/C][C]0.31[/C][C]0.21[/C][C]0.1[/C][C]0.92[/C][C]0.51[/C][C]0.62[/C][C]0.51[/C][C]0.41[/C][C]0.1[/C][/ROW]
[C]38[/C][C]0.31[/C][C]0.15[/C][C]0.46[/C][C]0.31[/C][C]0.15[/C][C]1.38[/C][C]0.77[/C][C]0.92[/C][C]0.77[/C][C]0.62[/C][C]0.15[/C][/ROW]
[C]39[/C][C]0.05[/C][C]0.03[/C][C]0.08[/C][C]0.05[/C][C]0.03[/C][C]0.23[/C][C]0.13[/C][C]0.15[/C][C]0.13[/C][C]0.1[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182454&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182454&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
A x B
910111213141516171819
280.050.030.080.050.030.230.130.150.130.10.03
290.050.030.080.050.030.230.130.150.130.10.03
300.050.030.080.050.030.230.130.150.130.10.03
310.310.150.460.310.151.380.770.920.770.620.15
320.310.150.460.310.151.380.770.920.770.620.15
330.360.180.540.360.181.620.91.080.90.720.18
340.050.030.080.050.030.230.130.150.130.10.03
350.210.10.310.210.10.920.510.620.510.410.1
360.050.030.080.050.030.230.130.150.130.10.03
370.210.10.310.210.10.920.510.620.510.410.1
380.310.150.460.310.151.380.770.920.770.620.15
390.050.030.080.050.030.230.130.150.130.10.03







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic122.63
Degrees of Freedom110
P value0.19

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 122.63 \tabularnewline
Degrees of Freedom & 110 \tabularnewline
P value & 0.19 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182454&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]122.63[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]110[/C][/ROW]
[ROW][C]P value[/C][C]0.19[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182454&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182454&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 Statistic122.63
Degrees of Freedom110
P value0.19



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;
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')