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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, 15 Nov 2011 06:28:53 -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/15/t1321356586ua1tw3vy82llph1.htm/, Retrieved Fri, 29 Mar 2024 01:01:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=142747, Retrieved Fri, 29 Mar 2024 01:01:25 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Turnover company A] [2010-11-02 11:53:41] [b98453cac15ba1066b407e146608df68]
- RMPD  [Chi-Squared and McNemar Tests] [Chi-Squared 1. Ha...] [2010-11-14 15:50:44] [19f9551d4d95750ef21e9f3cf8fe2131]
- R       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [WS6 - Quesion 1 H...] [2011-11-14 12:37:22] [59e9c089bdd600b584669dddc48fbcc3]
-   PD      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [WS6 - Question 1 ...] [2011-11-15 11:10:40] [59e9c089bdd600b584669dddc48fbcc3]
-   P         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [WS6 - Question 1 ...] [2011-11-15 11:18:07] [59e9c089bdd600b584669dddc48fbcc3]
-   PD            [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [WS6 - Question 1 ...] [2011-11-15 11:28:53] [e1c4030d3eb0ab0fcc7a7b48aeaac474] [Current]
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Dataseries X:
'D'	'D'	'A'	'A'	'D'	'A'	'C'	'B'
'A'	'A'	'A'	'A'	'B'	'B'	'D'	'D'
'A'	'A'	'A'	'B'	'D'	'A'	'D'	'D'
'A'	'C'	'A'	'D'	'A'	'C'	'A'	'A'
'A'	'C'	'A'	'A'	'D'	'D'	'A'	'A'
'B'	'B'	'A'	'C'	'A'	'C'	'B'	'C'
'C'	'A'	'C'	'A'	'B'	'A'	'C'	'B'
'C'	'C'	'A'	'A'	'B'	'A'	'A'	'B'
'B'	'C'	'C'	'C'	'D'	'B'	'C'	'B'
'D'	'D'	'C'	'A'	'A'	'D'	'A'	'A'
'D'	'C'	'D'	'D'	'C'	'A'	'D'	'D'
'A'	'D'	'C'	'C'	'A'	'D'	'C'	'C'
'B'	'A'	'A'	'A'	'B'	'C'	'A'	'A'
'B'	'D'	'C'	'A'	'B'	'B'	'B'	'C'
'C'	'C'	'D'	'D'	'A'	'D'	'C'	'B'
'D'	'D'	'D'	'D'	'D'	'A'	'D'	'D'
'B'	'C'	'C'	'A'	'B'	'B'	'C'	'C'
'D'	'D'	'A'	'C'	'A'	'D'	'B'	'B'
'B'	'C'	'A'	'C'	'C'	'D'	'C'	'C'
'A'	'C'	'A'	'C'	'B'	'D'	'B'	'B'
'B'	'C'	'C'	'A'	'A'	'A'	'B'	'B'
'A'	'C'	'A'	'A'	'A'	'D'	'D'	'D'
'B'	'C'	'C'	'C'	'D'	'A'	'D'	'D'
'A'	'D'	'C'	'C'	'D'	'C'	'C'	'C'
'A'	'B'	'D'	'A'	'D'	'B'	'C'	'D'
'A'	'A'	'C'	'A'	'B'	'D'	'D'	'C'
'C'	'B'	'C'	'B'	'B'	'C'	'B'	'B'
'B'	'A'	'A'	'B'	'A'	'A'	'B'	'C'
'A'	'C'	'C'	'A'	'C'	'C'	'B'	'B'
'C'	'A'	'A'	'A'	'A'	'D'	'C'	'B'
'C'	'D'	'C'	'C'	'B'	'A'	'C'	'D'
'C'	'C'	'D'	'A'	'D'	'A'	'D'	'D'
'B'	'A'	'A'	'A'	'D'	'A'	'D'	'B'
'C'	'C'	'D'	'D'	'D'	'C'	'D'	'D'
'A'	'C'	'C'	'D'	'B'	'B'	'B'	'A'
'A'	'B'	'A'	'A'	'A'	'B'	'B'	'B'
'D'	'B'	'A'	'A'	'B'	'D'	'C'	'C'
'A'	'B'	'C'	'B'	'D'	'D'	'B'	'C'
'B'	'B'	'A'	'C'	'D'	'A'	'C'	'C'
'D'	'D'	'D'	'D'	'D'	'A'	'D'	'D'
'A'	'B'	'A'	'A'	'C'	'B'	'B'	'B'
'B'	'B'	'A'	'A'	'D'	'B'	'B'	'B'
'D'	'B'	'C'	'B'	'B'	'A'	'D'	'D'
'B'	'D'	'A'	'A'	'B'	'B'	'D'	'D'
'B'	'A'	'A'	'A'	'D'	'C'	'A'	'A'
'B'	'B'	'A'	'A'	'D'	'A'	'C'	'C'
'D'	'D'	'A'	'B'	'D'	'B'	'B'	'C'
'A'	'A'	'D'	'A'	'B'	'B'	'D'	'D'
'B'	'A'	'A'	'A'	'B'	'A'	'C'	'C'
'A'	'B'	'D'	'D'	'B'	'B'	'C'	'B'
'D'	'A'	'C'	'B'	'A'	'A'	'D'	'D'
'B'	'A'	'A'	'A'	'B'	'B'	'A'	'A'
'A'	'A'	'A'	'A'	'B'	'D'	'C'	'D'
'B'	'D'	'A'	'A'	'C'	'C'	'A'	'A'
'A'	'D'	'A'	'D'	'D'	'A'	'A'	'A'
'A'	'A'	'A'	'A'	'A'	'B'	'C'	'C'
'B'	'D'	'A'	'B'	'C'	'A'	'C'	'B'
'D'	'D'	'D'	'A'	'B'	'B'	'B'	'A'
'A'	'D'	'A'	'A'	'C'	'D'	'D'	'D'
'C'	'B'	'A'	'A'	'B'	'C'	'A'	'B'
'A'	'A'	'A'	'A'	'A'	'D'	'D'	'D'
'B'	'A'	'A'	'A'	'B'	'D'	'C'	'B'
'A'	'C'	'C'	'A'	'A'	'B'	'B'	'C'
'C'	'B'	'C'	'B'	'B'	'B'	'C'	'B'
'C'	'D'	'A'	'C'	'B'	'B'	'B'	'A'
'A'	'A'	'C'	'D'	'B'	'B'	'B'	'B'
'C'	'B'	'A'	'A'	'B'	'B'	'C'	'C'
'D'	'C'	'A'	'A'	'C'	'A'	'D'	'D'
'C'	'C'	'C'	'A'	'D'	'A'	'C'	'C'
'D'	'B'	'D'	'D'	'A'	'B'	'B'	'B'
'B'	'C'	'A'	'A'	'C'	'A'	'D'	'D'
'B'	'A'	'A'	'A'	'B'	'B'	'B'	'B'
'C'	'D'	'C'	'A'	'B'	'A'	'A'	'A'
'D'	'D'	'D'	'A'	'C'	'D'	'A'	'A'
'A'	'B'	'A'	'C'	'A'	'C'	'A'	'A'
'A'	'B'	'A'	'A'	'D'	'A'	'C'	'C'
'B'	'D'	'A'	'D'	'B'	'C'	'A'	'B'
'A'	'B'	'A'	'A'	'A'	'C'	'A'	'A'
'C'	'B'	'C'	'C'	'B'	'D'	'B'	'B'
'A'	'B'	'A'	'A'	'A'	'D'	'B'	'B'
'A'	'B'	'A'	'B'	'D'	'A'	'B'	'B'
'B'	'A'	'A'	'A'	'A'	'B'	'A'	'A'
'C'	'D'	'C'	'B'	'D'	'C'	'C'	'C'
'C'	'A'	'A'	'B'	'B'	'A'	'A'	'A'
'A'	'C'	'D'	'A'	'D'	'A'	'C'	'C'
'A'	'B'	'A'	'A'	'A'	'C'	'B'	'A'
'A'	'A'	'A'	'A'	'B'	'A'	'C'	'C'
'B'	'B'	'A'	'B'	'D'	'A'	'D'	'D'
'A'	'A'	'D'	'D'	'D'	'A'	'D'	'D'
'D'	'B'	'A'	'A'	'B'	'A'	'A'	'A'
'D'	'C'	'A'	'A'	'D'	'A'	'B'	'B'
'C'	'A'	'A'	'B'	'C'	'C'	'A'	'A'
'C'	'C'	'D'	'B'	'B'	'A'	'D'	'D'
'A'	'B'	'D'	'C'	'A'	'B'	'B'	'A'
'A'	'C'	'A'	'A'	'A'	'D'	'A'	'A'
'C'	'A'	'C'	'A'	'B'	'A'	'D'	'D'
'B'	'A'	'C'	'D'	'B'	'B'	'C'	'B'
'C'	'B'	'D'	'B'	'B'	'D'	'C'	'C'
'A'	'B'	'A'	'A'	'B'	'A'	'A'	'A'
'C'	'A'	'D'	'B'	'D'	'A'	'D'	'D'
'D'	'D'	'A'	'A'	'B'	'A'	'B'	'B'
'A'	'A'	'D'	'A'	'B'	'C'	'A'	'A'
'A'	'A'	'A'	'A'	'B'	'D'	'B'	'A'
'C'	'D'	'C'	'A'	'B'	'C'	'B'	'B'
'D'	'C'	'A'	'A'	'C'	'C'	'A'	'A'
'A'	'C'	'C'	'C'	'A'	'D'	'A'	'A'
'A'	'A'	'A'	'B'	'A'	'D'	'B'	'B'
'C'	'B'	'C'	'D'	'A'	'C'	'A'	'A'
'B'	'C'	'D'	'B'	'B'	'B'	'C'	'B'
'C'	'C'	'A'	'C'	'C'	'C'	'C'	'C'
'D'	'C'	'D'	'B'	'D'	'A'	'C'	'D'
'A'	'A'	'A'	'D'	'B'	'D'	'B'	'B'
'D'	'D'	'D'	'B'	'B'	'A'	'D'	'D'
'A'	'A'	'C'	'A'	'B'	'B'	'B'	'B'
'C'	'D'	'C'	'A'	'A'	'A'	'A'	'A'
'D'	'D'	'D'	'D'	'D'	'A'	'D'	'D'
'B'	'B'	'C'	'B'	'B'	'A'	'D'	'C'
'D'	'B'	'D'	'C'	'D'	'A'	'D'	'D'
'B'	'B'	'D'	'D'	'B'	'C'	'D'	'D'
'D'	'B'	'D'	'D'	'C'	'B'	'C'	'C'
'C'	'B'	'A'	'D'	'B'	'D'	'D'	'D'
'D'	'B'	'C'	'D'	'A'	'A'	'A'	'A'
'D'	'B'	'A'	'A'	'B'	'B'	'A'	'A'
'D'	'D'	'A'	'B'	'B'	'B'	'B'	'B'
'A'	'D'	'D'	'D'	'A'	'C'	'A'	'A'
'C'	'D'	'A'	'A'	'A'	'B'	'B'	'A'
'B'	'B'	'D'	'A'	'D'	'B'	'D'	'D'
'C'	'D'	'A'	'A'	'D'	'C'	'B'	'B'
'B'	'C'	'D'	'D'	'D'	'A'	'B'	'B'
'A'	'A'	'D'	'D'	'A'	'B'	'A'	'A'
'A'	'A'	'C'	'A'	'C'	'A'	'A'	'A'
'B'	'A'	'A'	'D'	'A'	'D'	'C'	'C'
'B'	'A'	'A'	'D'	'D'	'B'	'C'	'B'
'B'	'B'	'C'	'D'	'D'	'A'	'C'	'C'
'C'	'D'	'D'	'D'	'C'	'A'	'A'	'A'
'B'	'C'	'A'	'A'	'C'	'A'	'D'	'D'
'C'	'A'	'D'	'D'	'B'	'A'	'C'	'C'
'C'	'B'	'C'	'D'	'A'	'C'	'A'	'A'
'B'	'C'	'A'	'B'	'C'	'D'	'A'	'A'
'C'	'B'	'D'	'D'	'D'	'A'	'A'	'A'
'B'	'B'	'D'	'D'	'C'	'A'	'C'	'B'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142747&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142747&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142747&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'Gwilym Jenkins' @ jenkins.wessa.net







Tabulation of Results
Depression x Connected
ABCD
A9151415
B131246
C86101
D15454

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Depression  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
A & 9 & 15 & 14 & 15 \tabularnewline
B & 13 & 12 & 4 & 6 \tabularnewline
C & 8 & 6 & 10 & 1 \tabularnewline
D & 15 & 4 & 5 & 4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142747&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Depression  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]9[/C][C]15[/C][C]14[/C][C]15[/C][/ROW]
[C]B[/C][C]13[/C][C]12[/C][C]4[/C][C]6[/C][/ROW]
[C]C[/C][C]8[/C][C]6[/C][C]10[/C][C]1[/C][/ROW]
[C]D[/C][C]15[/C][C]4[/C][C]5[/C][C]4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142747&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142747&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
Depression x Connected
ABCD
A9151415
B131246
C86101
D15454







Tabulation of Expected Results
Depression x Connected
ABCD
A16.9113.9112.49.77
B11.179.188.196.45
C7.986.565.854.61
D8.947.356.555.16

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Depression  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
A & 16.91 & 13.91 & 12.4 & 9.77 \tabularnewline
B & 11.17 & 9.18 & 8.19 & 6.45 \tabularnewline
C & 7.98 & 6.56 & 5.85 & 4.61 \tabularnewline
D & 8.94 & 7.35 & 6.55 & 5.16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142747&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Depression  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]16.91[/C][C]13.91[/C][C]12.4[/C][C]9.77[/C][/ROW]
[C]B[/C][C]11.17[/C][C]9.18[/C][C]8.19[/C][C]6.45[/C][/ROW]
[C]C[/C][C]7.98[/C][C]6.56[/C][C]5.85[/C][C]4.61[/C][/ROW]
[C]D[/C][C]8.94[/C][C]7.35[/C][C]6.55[/C][C]5.16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142747&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142747&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
Depression x Connected
ABCD
A16.9113.9112.49.77
B11.179.188.196.45
C7.986.565.854.61
D8.947.356.555.16







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic22.22
Degrees of Freedom9
P value0.01

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 22.22 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142747&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]22.22[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142747&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142747&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 Statistic22.22
Degrees of Freedom9
P value0.01



Parameters (Session):
par1 = 1 ; par2 = 5 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 6 ; par2 = 1 ; 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')