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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 17:52:44 -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/t1350942783gnq47ycodqnsry4.htm/, Retrieved Fri, 03 May 2024 21:43:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=182460, Retrieved Fri, 03 May 2024 21:43:12 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact47
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] [happinness en con...] [2012-10-22 21:52:44] [12383fa010e7b5252e187b5f14cfe683] [Current]
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Dataseries X:
14	41
18	39
11	30
12	31
16	34
18	35
14	39
14	34
15	36
15	37
17	38
19	36
10	38
16	39
18	33
14	32
14	36
17	38
14	39
16	32
18	32
11	31
14	39
12	37
17	39
9	41
16	36
14	33
15	33
11	34
16	31
13	27
17	37
15	34
14	34
16	32
9	29
15	36




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182460&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182460&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182460&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'Herman Ole Andreas Wold' @ wold.wessa.net







Tabulation of Results
A x B
27293031323334353637383941
90100000000001
100000000000100
110011001000000
120001000001000
131000000000000
140000112010031
150000011021000
160001201010010
170000000001210
180000110100010
190000000010000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
A  x  B \tabularnewline
  & 27 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 41 \tabularnewline
9 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline
10 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
11 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
12 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
13 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
14 & 0 & 0 & 0 & 0 & 1 & 1 & 2 & 0 & 1 & 0 & 0 & 3 & 1 \tabularnewline
15 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 2 & 1 & 0 & 0 & 0 \tabularnewline
16 & 0 & 0 & 0 & 1 & 2 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \tabularnewline
17 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 2 & 1 & 0 \tabularnewline
18 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 1 & 0 \tabularnewline
19 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182460&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]27[/C][C]29[/C][C]30[/C][C]31[/C][C]32[/C][C]33[/C][C]34[/C][C]35[/C][C]36[/C][C]37[/C][C]38[/C][C]39[/C][C]41[/C][/ROW]
[C]9[/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][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]10[/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][C]0[/C][C]0[/C][/ROW]
[C]11[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/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][/ROW]
[C]12[/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]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]13[/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][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]14[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]3[/C][C]1[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]16[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]17[/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]2[/C][C]1[/C][C]0[/C][/ROW]
[C]18[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]19[/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][C]0[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182460&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182460&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
27293031323334353637383941
90100000000001
100000000000100
110011001000000
120001000001000
131000000000000
140000112010031
150000011021000
160001201010010
170000000001210
180000110100010
190000000010000







Tabulation of Expected Results
A x B
27293031323334353637383941
90.050.050.050.160.210.160.260.050.260.160.160.320.11
100.030.030.030.080.110.080.130.030.130.080.080.160.05
110.080.080.080.240.320.240.390.080.390.240.240.470.16
120.050.050.050.160.210.160.260.050.260.160.160.320.11
130.030.030.030.080.110.080.130.030.130.080.080.160.05
140.240.240.240.710.950.711.180.241.180.710.711.420.47
150.130.130.130.390.530.390.660.130.660.390.390.790.26
160.160.160.160.470.630.470.790.160.790.470.470.950.32
170.110.110.110.320.420.320.530.110.530.320.320.630.21
180.110.110.110.320.420.320.530.110.530.320.320.630.21
190.030.030.030.080.110.080.130.030.130.080.080.160.05

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
A  x  B \tabularnewline
  & 27 & 29 & 30 & 31 & 32 & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 41 \tabularnewline
9 & 0.05 & 0.05 & 0.05 & 0.16 & 0.21 & 0.16 & 0.26 & 0.05 & 0.26 & 0.16 & 0.16 & 0.32 & 0.11 \tabularnewline
10 & 0.03 & 0.03 & 0.03 & 0.08 & 0.11 & 0.08 & 0.13 & 0.03 & 0.13 & 0.08 & 0.08 & 0.16 & 0.05 \tabularnewline
11 & 0.08 & 0.08 & 0.08 & 0.24 & 0.32 & 0.24 & 0.39 & 0.08 & 0.39 & 0.24 & 0.24 & 0.47 & 0.16 \tabularnewline
12 & 0.05 & 0.05 & 0.05 & 0.16 & 0.21 & 0.16 & 0.26 & 0.05 & 0.26 & 0.16 & 0.16 & 0.32 & 0.11 \tabularnewline
13 & 0.03 & 0.03 & 0.03 & 0.08 & 0.11 & 0.08 & 0.13 & 0.03 & 0.13 & 0.08 & 0.08 & 0.16 & 0.05 \tabularnewline
14 & 0.24 & 0.24 & 0.24 & 0.71 & 0.95 & 0.71 & 1.18 & 0.24 & 1.18 & 0.71 & 0.71 & 1.42 & 0.47 \tabularnewline
15 & 0.13 & 0.13 & 0.13 & 0.39 & 0.53 & 0.39 & 0.66 & 0.13 & 0.66 & 0.39 & 0.39 & 0.79 & 0.26 \tabularnewline
16 & 0.16 & 0.16 & 0.16 & 0.47 & 0.63 & 0.47 & 0.79 & 0.16 & 0.79 & 0.47 & 0.47 & 0.95 & 0.32 \tabularnewline
17 & 0.11 & 0.11 & 0.11 & 0.32 & 0.42 & 0.32 & 0.53 & 0.11 & 0.53 & 0.32 & 0.32 & 0.63 & 0.21 \tabularnewline
18 & 0.11 & 0.11 & 0.11 & 0.32 & 0.42 & 0.32 & 0.53 & 0.11 & 0.53 & 0.32 & 0.32 & 0.63 & 0.21 \tabularnewline
19 & 0.03 & 0.03 & 0.03 & 0.08 & 0.11 & 0.08 & 0.13 & 0.03 & 0.13 & 0.08 & 0.08 & 0.16 & 0.05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182460&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]27[/C][C]29[/C][C]30[/C][C]31[/C][C]32[/C][C]33[/C][C]34[/C][C]35[/C][C]36[/C][C]37[/C][C]38[/C][C]39[/C][C]41[/C][/ROW]
[C]9[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.16[/C][C]0.21[/C][C]0.16[/C][C]0.26[/C][C]0.05[/C][C]0.26[/C][C]0.16[/C][C]0.16[/C][C]0.32[/C][C]0.11[/C][/ROW]
[C]10[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.08[/C][C]0.11[/C][C]0.08[/C][C]0.13[/C][C]0.03[/C][C]0.13[/C][C]0.08[/C][C]0.08[/C][C]0.16[/C][C]0.05[/C][/ROW]
[C]11[/C][C]0.08[/C][C]0.08[/C][C]0.08[/C][C]0.24[/C][C]0.32[/C][C]0.24[/C][C]0.39[/C][C]0.08[/C][C]0.39[/C][C]0.24[/C][C]0.24[/C][C]0.47[/C][C]0.16[/C][/ROW]
[C]12[/C][C]0.05[/C][C]0.05[/C][C]0.05[/C][C]0.16[/C][C]0.21[/C][C]0.16[/C][C]0.26[/C][C]0.05[/C][C]0.26[/C][C]0.16[/C][C]0.16[/C][C]0.32[/C][C]0.11[/C][/ROW]
[C]13[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.08[/C][C]0.11[/C][C]0.08[/C][C]0.13[/C][C]0.03[/C][C]0.13[/C][C]0.08[/C][C]0.08[/C][C]0.16[/C][C]0.05[/C][/ROW]
[C]14[/C][C]0.24[/C][C]0.24[/C][C]0.24[/C][C]0.71[/C][C]0.95[/C][C]0.71[/C][C]1.18[/C][C]0.24[/C][C]1.18[/C][C]0.71[/C][C]0.71[/C][C]1.42[/C][C]0.47[/C][/ROW]
[C]15[/C][C]0.13[/C][C]0.13[/C][C]0.13[/C][C]0.39[/C][C]0.53[/C][C]0.39[/C][C]0.66[/C][C]0.13[/C][C]0.66[/C][C]0.39[/C][C]0.39[/C][C]0.79[/C][C]0.26[/C][/ROW]
[C]16[/C][C]0.16[/C][C]0.16[/C][C]0.16[/C][C]0.47[/C][C]0.63[/C][C]0.47[/C][C]0.79[/C][C]0.16[/C][C]0.79[/C][C]0.47[/C][C]0.47[/C][C]0.95[/C][C]0.32[/C][/ROW]
[C]17[/C][C]0.11[/C][C]0.11[/C][C]0.11[/C][C]0.32[/C][C]0.42[/C][C]0.32[/C][C]0.53[/C][C]0.11[/C][C]0.53[/C][C]0.32[/C][C]0.32[/C][C]0.63[/C][C]0.21[/C][/ROW]
[C]18[/C][C]0.11[/C][C]0.11[/C][C]0.11[/C][C]0.32[/C][C]0.42[/C][C]0.32[/C][C]0.53[/C][C]0.11[/C][C]0.53[/C][C]0.32[/C][C]0.32[/C][C]0.63[/C][C]0.21[/C][/ROW]
[C]19[/C][C]0.03[/C][C]0.03[/C][C]0.03[/C][C]0.08[/C][C]0.11[/C][C]0.08[/C][C]0.13[/C][C]0.03[/C][C]0.13[/C][C]0.08[/C][C]0.08[/C][C]0.16[/C][C]0.05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182460&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182460&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
27293031323334353637383941
90.050.050.050.160.210.160.260.050.260.160.160.320.11
100.030.030.030.080.110.080.130.030.130.080.080.160.05
110.080.080.080.240.320.240.390.080.390.240.240.470.16
120.050.050.050.160.210.160.260.050.260.160.160.320.11
130.030.030.030.080.110.080.130.030.130.080.080.160.05
140.240.240.240.710.950.711.180.241.180.710.711.420.47
150.130.130.130.390.530.390.660.130.660.390.390.790.26
160.160.160.160.470.630.470.790.160.790.470.470.950.32
170.110.110.110.320.420.320.530.110.530.320.320.630.21
180.110.110.110.320.420.320.530.110.530.320.320.630.21
190.030.030.030.080.110.080.130.030.130.080.080.160.05







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic154.73
Degrees of Freedom120
P value0.02

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 154.73 \tabularnewline
Degrees of Freedom & 120 \tabularnewline
P value & 0.02 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=182460&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]154.73[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]120[/C][/ROW]
[ROW][C]P value[/C][C]0.02[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=182460&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=182460&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 Statistic154.73
Degrees of Freedom120
P value0.02



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')