## Free Statistics

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Author's title
Author*Unverified author*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationSat, 12 Nov 2011 11:27:04 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/12/t1321115263xphh4yj4cj6zdef.htm/, Retrieved Sat, 01 Apr 2023 18:01:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=141504, Retrieved Sat, 01 Apr 2023 18:01:41 +0000
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IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
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] [compendium 6 - oef 1] [2011-11-12 14:08:39] [d3c56829b3e69baec30b0d469b5d7237]
- R P   [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Seperate vs Happi...] [2011-11-12 16:20:52] [74be16979710d4c4e7c6647856088456]
-   P       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [Seperate & depres...] [2011-11-12 16:27:04] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
'A'	'A'	'D'	'A'	'B'	'B'
'A'	'C'	'A'	'B'	'A'	'C'
'D'	'B'	'A'	'A'	'D'	'A'
'D'	'C'	'C'	'D'	'D'	'B'
'B'	'A'	'C'	'A'	'A'	'A'
'B'	'D'	'D'	'C'	'A'	'B'
'A'	'D'	'A'	'A'	'B'	'A'
'B'	'B'	'C'	'A'	'B'	'C'
'B'	'B'	'C'	'A'	'B'	'D'
'A'	'A'	'C'	'D'	'B'	'B'
'A'	'D'	'A'	'C'	'A'	'D'
'B'	'B'	'A'	'A'	'A'	'D'
'A'	'B'	'A'	'A'	'D'	'A'
'A'	'A'	'A'	'B'	'A'	'A'
'C'	'A'	'A'	'A'	'A'	'D'
'C'	'C'	'C'	'A'	'B'	'A'
'B'	'C'	'C'	'C'	'B'	'A'
'A'	'A'	'A'	'A'	'A'	'C'
'A'	'A'	'A'	'B'	'B'	'D'
'C'	'C'	'A'	'A'	'A'	'B'
'C'	'C'	'A'	'B'	'A'	'D'
'D'	'D'	'A'	'A'	'D'	'A'
'A'	'A'	'A'	'A'	'B'	'B'
'A'	'A'	'A'	'B'	'D'	'A'
'A'	'C'	'A'	'D'	'A'	'C'
'A'	'C'	'A'	'A'	'D'	'D'
'B'	'B'	'A'	'C'	'A'	'C'
'C'	'A'	'C'	'A'	'B'	'A'
'C'	'C'	'A'	'A'	'B'	'A'
'B'	'C'	'C'	'C'	'D'	'B'
'D'	'D'	'C'	'A'	'A'	'D'
'D'	'C'	'D'	'D'	'C'	'A'
'A'	'D'	'C'	'C'	'A'	'D'
'B'	'A'	'A'	'A'	'B'	'C'
'B'	'D'	'C'	'A'	'B'	'B'
'C'	'C'	'D'	'D'	'A'	'D'
'D'	'D'	'D'	'D'	'D'	'A'
'B'	'C'	'C'	'A'	'B'	'B'
'D'	'D'	'A'	'C'	'A'	'D'
'B'	'C'	'A'	'C'	'C'	'D'
'A'	'C'	'A'	'C'	'B'	'D'
'B'	'C'	'C'	'A'	'A'	'A'
'A'	'C'	'A'	'A'	'A'	'D'
'B'	'C'	'C'	'C'	'D'	'A'
'A'	'D'	'C'	'C'	'D'	'C'
'A'	'B'	'D'	'A'	'D'	'B'
'A'	'A'	'C'	'A'	'B'	'D'
'C'	'B'	'C'	'B'	'B'	'C'
'B'	'A'	'A'	'B'	'A'	'A'
'A'	'C'	'C'	'A'	'C'	'C'
'C'	'A'	'A'	'A'	'A'	'D'
'C'	'D'	'C'	'C'	'B'	'A'
'C'	'C'	'D'	'A'	'D'	'A'
'B'	'A'	'A'	'A'	'D'	'A'
'C'	'C'	'D'	'D'	'D'	'C'
'A'	'C'	'C'	'D'	'B'	'B'
'A'	'B'	'A'	'A'	'A'	'B'
'D'	'B'	'A'	'A'	'B'	'D'
'A'	'B'	'C'	'B'	'D'	'D'
'B'	'B'	'A'	'C'	'D'	'A'
'D'	'D'	'D'	'D'	'D'	'A'
'A'	'B'	'A'	'A'	'C'	'B'
'B'	'B'	'A'	'A'	'D'	'B'
'D'	'B'	'C'	'B'	'B'	'A'
'B'	'D'	'A'	'A'	'B'	'B'
'B'	'A'	'A'	'A'	'D'	'C'
'B'	'B'	'A'	'A'	'D'	'A'
'D'	'D'	'A'	'B'	'D'	'B'
'A'	'A'	'D'	'A'	'B'	'B'
'B'	'A'	'A'	'A'	'B'	'A'
'A'	'B'	'D'	'D'	'B'	'B'
'D'	'A'	'C'	'B'	'A'	'A'
'B'	'A'	'A'	'A'	'B'	'B'
'A'	'A'	'A'	'A'	'B'	'D'
'B'	'D'	'A'	'A'	'C'	'C'
'A'	'D'	'A'	'D'	'D'	'A'
'A'	'A'	'A'	'A'	'A'	'B'
'B'	'D'	'A'	'B'	'C'	'A'
'D'	'D'	'D'	'A'	'B'	'B'
'A'	'D'	'A'	'A'	'C'	'D'
'C'	'B'	'A'	'A'	'B'	'C'
'A'	'A'	'A'	'A'	'A'	'D'
'B'	'A'	'A'	'A'	'B'	'D'
'A'	'C'	'C'	'A'	'A'	'B'
'C'	'B'	'C'	'B'	'B'	'B'
'C'	'D'	'A'	'C'	'B'	'B'
'A'	'A'	'C'	'D'	'B'	'B'
'C'	'B'	'A'	'A'	'B'	'B'
'D'	'C'	'A'	'A'	'C'	'A'
'C'	'C'	'C'	'A'	'D'	'A'
'D'	'B'	'D'	'D'	'A'	'B'
'B'	'C'	'A'	'A'	'C'	'A'
'B'	'A'	'A'	'A'	'B'	'B'
'C'	'D'	'C'	'A'	'B'	'A'
'D'	'D'	'D'	'A'	'C'	'D'
'A'	'B'	'A'	'C'	'A'	'C'
'A'	'B'	'A'	'A'	'D'	'A'
'B'	'D'	'A'	'D'	'B'	'C'
'A'	'B'	'A'	'A'	'A'	'C'
'C'	'B'	'C'	'C'	'B'	'D'
'A'	'B'	'A'	'A'	'A'	'D'
'A'	'B'	'A'	'B'	'D'	'A'
'B'	'A'	'A'	'A'	'A'	'B'
'C'	'D'	'C'	'B'	'D'	'C'
'C'	'A'	'A'	'B'	'B'	'A'
'A'	'C'	'D'	'A'	'D'	'A'
'A'	'B'	'A'	'A'	'A'	'C'
'A'	'A'	'A'	'A'	'B'	'A'
'B'	'B'	'A'	'B'	'D'	'A'
'A'	'A'	'D'	'D'	'D'	'A'
'D'	'B'	'A'	'A'	'B'	'A'
'D'	'C'	'A'	'A'	'D'	'A'
'C'	'A'	'A'	'B'	'C'	'C'
'C'	'C'	'D'	'B'	'B'	'A'
'A'	'B'	'D'	'C'	'A'	'B'
'A'	'C'	'A'	'A'	'A'	'D'
'C'	'A'	'C'	'A'	'B'	'A'
'B'	'A'	'C'	'D'	'B'	'B'
'C'	'B'	'D'	'B'	'B'	'D'
'A'	'B'	'A'	'A'	'B'	'A'
'C'	'A'	'D'	'B'	'D'	'A'
'D'	'D'	'A'	'A'	'B'	'A'
'A'	'A'	'D'	'A'	'B'	'C'
'A'	'A'	'A'	'A'	'B'	'D'
'C'	'D'	'C'	'A'	'B'	'C'
'D'	'C'	'A'	'A'	'C'	'C'
'A'	'C'	'C'	'C'	'A'	'D'
'A'	'A'	'A'	'B'	'A'	'D'
'C'	'B'	'C'	'D'	'A'	'C'
'B'	'C'	'D'	'B'	'B'	'B'
'C'	'C'	'A'	'C'	'C'	'C'
'D'	'C'	'D'	'B'	'D'	'A'
'A'	'A'	'A'	'D'	'B'	'D'
'D'	'D'	'D'	'B'	'B'	'A'
'A'	'A'	'C'	'A'	'B'	'B'
'C'	'D'	'C'	'A'	'A'	'A'
'D'	'D'	'D'	'D'	'D'	'A'
'B'	'B'	'C'	'B'	'B'	'A'
'D'	'B'	'D'	'C'	'D'	'A'
'B'	'B'	'D'	'D'	'B'	'C'
'D'	'B'	'D'	'D'	'C'	'B'
'C'	'B'	'A'	'D'	'B'	'D'
'D'	'B'	'C'	'D'	'A'	'A'
'D'	'B'	'A'	'A'	'B'	'B'
'D'	'D'	'A'	'B'	'B'	'B'
'A'	'D'	'D'	'D'	'A'	'C'
'C'	'D'	'A'	'A'	'A'	'B'
'B'	'B'	'D'	'A'	'D'	'B'
'C'	'D'	'A'	'A'	'D'	'C'
'B'	'C'	'D'	'D'	'D'	'A'
'A'	'A'	'D'	'D'	'A'	'B'
'A'	'A'	'C'	'A'	'C'	'A'
'B'	'A'	'A'	'D'	'A'	'D'
'B'	'A'	'A'	'D'	'D'	'B'
'B'	'B'	'C'	'D'	'D'	'A'
'C'	'D'	'D'	'D'	'C'	'A'
'B'	'C'	'A'	'A'	'C'	'A'
'C'	'A'	'D'	'D'	'B'	'A'
'C'	'B'	'C'	'D'	'A'	'C'
'B'	'C'	'A'	'B'	'C'	'D'
'C'	'B'	'D'	'D'	'D'	'A'
'B'	'B'	'D'	'D'	'C'	'A'

 Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 1 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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141504&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141504&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141504&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 Input view raw input (R code) Raw Output view raw output of R engine Computing time 1 seconds R Server 'Gertrude Mary Cox' @ cox.wessa.net

 Tabulation of Results Separate x Depression A B C D A 15 13 5 11 B 16 12 10 8 C 16 7 6 9 D 13 8 7 6

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Separate  x  Depression \tabularnewline
& A & B & C & D \tabularnewline
A & 15 & 13 & 5 & 11 \tabularnewline
B & 16 & 12 & 10 & 8 \tabularnewline
C & 16 & 7 & 6 & 9 \tabularnewline
D & 13 & 8 & 7 & 6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141504&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Separate  x  Depression[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]15[/C][C]13[/C][C]5[/C][C]11[/C][/ROW]
[C]B[/C][C]16[/C][C]12[/C][C]10[/C][C]8[/C][/ROW]
[C]C[/C][C]16[/C][C]7[/C][C]6[/C][C]9[/C][/ROW]
[C]D[/C][C]13[/C][C]8[/C][C]7[/C][C]6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141504&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141504&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 Separate x Depression A B C D A 15 13 5 11 B 16 12 10 8 C 16 7 6 9 D 13 8 7 6

 Tabulation of Expected Results Separate x Depression A B C D A 16.3 10.86 7.6 9.23 B 17.04 11.36 7.95 9.65 C 14.07 9.38 6.57 7.98 D 12.59 8.4 5.88 7.14

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Separate  x  Depression \tabularnewline
& A & B & C & D \tabularnewline
A & 16.3 & 10.86 & 7.6 & 9.23 \tabularnewline
B & 17.04 & 11.36 & 7.95 & 9.65 \tabularnewline
C & 14.07 & 9.38 & 6.57 & 7.98 \tabularnewline
D & 12.59 & 8.4 & 5.88 & 7.14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141504&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Separate  x  Depression[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]16.3[/C][C]10.86[/C][C]7.6[/C][C]9.23[/C][/ROW]
[C]B[/C][C]17.04[/C][C]11.36[/C][C]7.95[/C][C]9.65[/C][/ROW]
[C]C[/C][C]14.07[/C][C]9.38[/C][C]6.57[/C][C]7.98[/C][/ROW]
[C]D[/C][C]12.59[/C][C]8.4[/C][C]5.88[/C][C]7.14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141504&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141504&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 Separate x Depression A B C D A 16.3 10.86 7.6 9.23 B 17.04 11.36 7.95 9.65 C 14.07 9.38 6.57 7.98 D 12.59 8.4 5.88 7.14

 Statistical Results Pearson's Chi-squared test Pearson Chi Square Statistic 4.14 Degrees of Freedom 9 P value 0.9

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 4.14 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=141504&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]4.14[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=141504&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=141504&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 Statistic 4.14 Degrees of Freedom 9 P value 0.9

library(vcd)cat1 <- as.numeric(par1) #cat2<- as.numeric(par2) #simulate.p.value=FALSEif (par3 == 'Exact Pearson Chi-Squared by Simulation') simulate.p.value=TRUEx <- 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')