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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 computationTue, 09 Dec 2014 18:33:23 +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/09/t1418150414x4seqt8zqzyti8c.htm/, Retrieved Thu, 16 May 2024 17:41:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264798, Retrieved Thu, 16 May 2024 17:41:38 +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] [] [2014-12-09 18:33:23] [83f8f1d217ef29583e8b7cd372ece6b5] [Current]
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Dataseries X:
0 21
1 22
0 22
1 18
1 23
1 12
0 20
1 22
1 21
1 19
1 22
1 15
1 20
0 19
0 18
0 15
1 20
0 21
1 21
0 15
1 16
1 23
0 21
1 18
1 25
1 9
1 30
0 20
1 23
0 16
0 16
0 19
1 25
1 18
1 23
1 21
0 10
1 14
1 22
0 26
1 23
1 23
1 24
1 24
1 18
0 23
1 15
1 19
0 16
1 25
1 23
1 17
1 19
1 21
1 18
1 27
0 21
1 13
0 8
1 29
1 28
0 23
0 21
1 19
0 19
1 20
0 18
1 19
1 17
0 19
0 25
0 19
0 22
1 23
0 14
0 16
1 24
0 20
0 12
1 24
0 22
0 12
0 22
1 20
0 10
1 23
1 17
0 22
0 24
0 18
1 21
1 20
1 20
0 22
1 19
0 20
1 26
1 23
1 24
1 21
1 21
0 19
1 8
1 17
1 20
0 11
0 8
0 15
0 18
0 18
0 19
1 19
1 23
1 22
1 21
1 25
0 30
1 17
1 27
0 23
1 23
0 18
0 18
1 23
1 19
1 15
1 20
1 16
1 24
1 25
1 25
0 19
1 19
1 16
1 19
1 19
1 23
1 21
0 22
1 19
1 20
1 20
1 3
1 23
0 23
0 20
1 15
0 16
0 7
1 24
0 17
1 24
1 24
0 19
1 25
1 20
1 28
0 23
0 27
0 18
0 28
1 21
0 19
1 23
0 27
1 22
0 28
1 25
0 21
0 22
1 28
0 20
1 29
1 25
1 25
1 20
1 20
0 16
1 20
0 20
0 23
0 18
1 25
0 18
1 19
0 25
0 25
0 25
0 24
1 19
1 26
1 10
1 17
0 13
0 17
1 30
0 25
0 4
0 16
0 21
1 23
1 22
0 17
0 20
1 20
0 22
1 16
1 23
0 0
1 18
1 25
1 23
0 12
0 18
0 24
1 11
1 18
1 23
1 24
0 29
0 18
0 15
1 29
1 16
0 19
0 22
0 16
1 23
1 23
0 19
0 4
0 20
1 24
1 20
1 4
1 24
0 22
1 16
1 3
1 15
0 24
0 17
1 20
0 27
1 26
1 23
0 17
1 20
0 22
1 19
1 24
0 19
1 23
0 15
1 27
0 26
1 22
0 22
0 18
1 15
1 22
0 27
1 10
1 20
0 17
1 23
0 19
0 13
1 27
1 23
0 16
1 25
0 2
0 26
1 20
0 23
0 22
1 24
1 22
1 17
0 23
1 23
1 28
1 29
1 21
0 24
1 20
0 7
0 19
1 28
0 18
1 26
0 21
0 19
1 20
1 23
1 24
0 16
0 19
0 24
1 21
0 16
1 16
1 21
1 28
0 16
1 23
0 26
1 29
0 18
0 19
0 19
0 16
0 16
0 16
1 18
1 22
1 14
0 20
0 15
0 22
0 24
0 16
1 19
1 24
1 19
1 15
0 11
1 15
0 17
1 20
1 21
0 16
1 17
0 20
0 15
0 21
0 16
0 18
0 25
1 21
0 21
0 16
1 20
1 24
1 28
1 27
0 22
1 20
1 27
0 17
0 22
0 23
0 15
1 22
0 13
0 21
0 18
0 22
0 19
0 15
1 20
1 17
1 21
0 23
0 20
1 18
0 22
1 24
1 24
1 18
1 27
1 19
0 20
0 15
0 20
0 27
0 20
1 20
0 13
0 21
1 23
0 26
0 24
1 25
0 18
1 21
1 23
0 16
1 19
0 20
1 25
0 22
1 20
1 25
1 27
0 20
1 18
1 26
0 26
1 24
1 27
1 16
1 15
0 25
1 27
0 18
0 16
1 18
0 23
1 21
1 21
0 14
0 24
1 18
1 16
1 25
1 22
0 13
1 20
1 17
1 23
1 22
0 23
0 22
1 23
0 10
1 18
1 25
0 26
1 14
0 23
1 22
0 23
0 19
1 14
1 26
1 24
1 21
0 17
0 16
1 15
0 11
0 19
1 21
1 20
1 16
1 19
1 16
1 11
1 22
1 20
0 26
1 26
0 20
0 24
1 20
1 15
1 23
1 25
1 27
1 23
1 20
0 25
1 24
1 22
1 27
0 20
1 17
1 22
1 26
1 19
0 19
1 24
1 22
0 16
0 22
1 23
1 19
1 20
1 16
0 19
1 20
0 15
1 22
1 26
0 24
0 17
0 22
0 15
0 20
1 24
1 17
0 24
0 15
0 20
0 20
0 17
0 11
0 21
0 28
0 14
0 13
1 12
0 21
0 13
0 19
1 23
0 27
0 25
1 22
0 27
0 16
0 20
0 18
0 19
0 17
0 10
0 11
1 16
0 13
0 14
0 12
0 15
1 19
0 15
0 14
0 14
0 10
0 13
1 21
0 11
0 14
0 20
0 7
1 22
0 24
0 16
0 22
0 25
0 5
0 19
1 23
1 13
0 10
0 12
1 21
0 22
0 20
0 17
1 20
0 13
0 9
1 22
1 15
0 12
1 25
0 14
0 14
0 17
0 9
1 10
1 15
1 15
1 15
0 14
0 21
0 13
1 18
0 20
0 16
0 28
0 12
0 20
1 26
0 18
0 21
0 23
0 13
0 22
0 14
0 23
0 16
0 14
0 22
0 19
0 23
0 16
0 20
0 8
1 16
0 11
0 16
0 10
0 17
0 16
1 17
0 10
0 15
0 13
0 19
0 14
0 18
0 25
0 10
0 22
0 15
0 18
0 22
1 18
0 15
0 20
0 18
1 6
0 17
0 12
0 12
1 19
0 23
0 26
0 28
0 19
0 16
0 3
0 11
0 15
0 22
0 12
0 21
0 25
1 12
0 14
0 24
0 12
0 13
0 15
0 17
0 12
1 28
1 25
0 14
1 21
1 18
0 23
0 16
0 15
0 5
0 19
0 22
0 19
0 12
1 22
0 18
0 24
1 19
0 4
0 20
0 24
0 26
0 22
1 19
0 9
0 22
0 18
0 16
0 19
0 20
0 21
0 17
0 9
1 26
0 28
0 13
0 16
0 22
1 18
1 21
0 10
1 15
1 15
0 13
0 10
0 23
0 21
0 14
0 17
0 15
0 15
0 17
0 26
0 12
0 14
1 26
0 18
0 17
0 20
0 16
0 19
0 12
0 20
0 19
0 25
0 19
0 15
0 12




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264798&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264798&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264798&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 time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Tabulation of Results
gender x NUMERACYTOT
023456789101112131415161718192021222324252627282930
01113203341181616172435212736331934201613117611
10021010113232417141318263625243824211212852

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
gender  x  NUMERACYTOT \tabularnewline
  & 0 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \tabularnewline
0 & 1 & 1 & 1 & 3 & 2 & 0 & 3 & 3 & 4 & 11 & 8 & 16 & 16 & 17 & 24 & 35 & 21 & 27 & 36 & 33 & 19 & 34 & 20 & 16 & 13 & 11 & 7 & 6 & 1 & 1 \tabularnewline
1 & 0 & 0 & 2 & 1 & 0 & 1 & 0 & 1 & 1 & 3 & 2 & 3 & 2 & 4 & 17 & 14 & 13 & 18 & 26 & 36 & 25 & 24 & 38 & 24 & 21 & 12 & 12 & 8 & 5 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264798&T=1

[TABLE]
[ROW]Tabulation of Results[/C][/ROW]
[ROW]gender  x  NUMERACYTOT[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]2[/C][C]3[/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]25[/C][C]26[/C][C]27[/C][C]28[/C][C]29[/C][C]30[/C][/ROW]
[C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]3[/C][C]2[/C][C]0[/C][C]3[/C][C]3[/C][C]4[/C][C]11[/C][C]8[/C][C]16[/C][C]16[/C][C]17[/C][C]24[/C][C]35[/C][C]21[/C][C]27[/C][C]36[/C][C]33[/C][C]19[/C][C]34[/C][C]20[/C][C]16[/C][C]13[/C][C]11[/C][C]7[/C][C]6[/C][C]1[/C][C]1[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]3[/C][C]2[/C][C]3[/C][C]2[/C][C]4[/C][C]17[/C][C]14[/C][C]13[/C][C]18[/C][C]26[/C][C]36[/C][C]25[/C][C]24[/C][C]38[/C][C]24[/C][C]21[/C][C]12[/C][C]12[/C][C]8[/C][C]5[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264798&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264798&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
gender x NUMERACYTOT
023456789101112131415161718192021222324252627282930
01113203341181616172435212736331934201613117611
10021010113232417141318263625243824211212852







Tabulation of Expected Results
gender x NUMERACYTOT
023456789101112131415161718192021222324252627282930
00.550.551.662.211.110.551.662.212.777.745.5310.519.9611.6222.6827.1118.8124.8934.338.1724.3432.0932.0922.1318.8112.7210.517.743.321.66
10.450.451.341.790.890.451.341.792.236.264.478.498.049.3818.3221.8915.1920.1127.730.8319.6625.9125.9117.8715.1910.288.496.262.681.34

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
gender  x  NUMERACYTOT \tabularnewline
  & 0 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 & 29 & 30 \tabularnewline
0 & 0.55 & 0.55 & 1.66 & 2.21 & 1.11 & 0.55 & 1.66 & 2.21 & 2.77 & 7.74 & 5.53 & 10.51 & 9.96 & 11.62 & 22.68 & 27.11 & 18.81 & 24.89 & 34.3 & 38.17 & 24.34 & 32.09 & 32.09 & 22.13 & 18.81 & 12.72 & 10.51 & 7.74 & 3.32 & 1.66 \tabularnewline
1 & 0.45 & 0.45 & 1.34 & 1.79 & 0.89 & 0.45 & 1.34 & 1.79 & 2.23 & 6.26 & 4.47 & 8.49 & 8.04 & 9.38 & 18.32 & 21.89 & 15.19 & 20.11 & 27.7 & 30.83 & 19.66 & 25.91 & 25.91 & 17.87 & 15.19 & 10.28 & 8.49 & 6.26 & 2.68 & 1.34 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264798&T=2

[TABLE]
[ROW]Tabulation of Expected Results[/C][/ROW]
[ROW]gender  x  NUMERACYTOT[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]2[/C][C]3[/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]25[/C][C]26[/C][C]27[/C][C]28[/C][C]29[/C][C]30[/C][/ROW]
[C]0[/C][C]0.55[/C][C]0.55[/C][C]1.66[/C][C]2.21[/C][C]1.11[/C][C]0.55[/C][C]1.66[/C][C]2.21[/C][C]2.77[/C][C]7.74[/C][C]5.53[/C][C]10.51[/C][C]9.96[/C][C]11.62[/C][C]22.68[/C][C]27.11[/C][C]18.81[/C][C]24.89[/C][C]34.3[/C][C]38.17[/C][C]24.34[/C][C]32.09[/C][C]32.09[/C][C]22.13[/C][C]18.81[/C][C]12.72[/C][C]10.51[/C][C]7.74[/C][C]3.32[/C][C]1.66[/C][/ROW]
[C]1[/C][C]0.45[/C][C]0.45[/C][C]1.34[/C][C]1.79[/C][C]0.89[/C][C]0.45[/C][C]1.34[/C][C]1.79[/C][C]2.23[/C][C]6.26[/C][C]4.47[/C][C]8.49[/C][C]8.04[/C][C]9.38[/C][C]18.32[/C][C]21.89[/C][C]15.19[/C][C]20.11[/C][C]27.7[/C][C]30.83[/C][C]19.66[/C][C]25.91[/C][C]25.91[/C][C]17.87[/C][C]15.19[/C][C]10.28[/C][C]8.49[/C][C]6.26[/C][C]2.68[/C][C]1.34[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264798&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264798&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
gender x NUMERACYTOT
023456789101112131415161718192021222324252627282930
00.550.551.662.211.110.551.662.212.777.745.5310.519.9611.6222.6827.1118.8124.8934.338.1724.3432.0932.0922.1318.8112.7210.517.743.321.66
10.450.451.341.790.890.451.341.792.236.264.478.498.049.3818.3221.8915.1920.1127.730.8319.6625.9125.9117.8715.1910.288.496.262.681.34







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic72.86
Degrees of Freedom29
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 72.86 \tabularnewline
Degrees of Freedom & 29 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264798&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]72.86[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]29[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264798&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264798&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 Statistic72.86
Degrees of Freedom29
P value0



Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = Pearson Chi-Squared ;
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 <- '1'
par1 <- '1'
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')