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Author*Unverified author*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared and McNemar Tests
Date of computationThu, 25 Nov 2010 11:01:52 +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/2010/Nov/25/t1290682809a3wmit8cyfqyvah.htm/, Retrieved Thu, 28 Mar 2024 22:40:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=100773, Retrieved Thu, 28 Mar 2024 22:40:00 +0000
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Dataseries X:
'A'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'A'	'C'	'A'	'C'	'HI'	'LO'	'HI'	'LO'
'D'	'B'	'D'	'A'	'LO'	'HI'	'LO'	'HI'
'D'	'C'	'D'	'B'	'LO'	'LO'	'LO'	'HI'
'B'	'A'	'A'	'A'	'HI'	'HI'	'HI'	'HI'
'B'	'D'	'A'	'B'	'HI'	'LO'	'HI'	'HI'
'A'	'D'	'B'	'A'	'HI'	'LO'	'HI'	'HI'
'B'	'B'	'B'	'C'	'HI'	'HI'	'HI'	'LO'
'B'	'B'	'B'	'D'	'HI'	'HI'	'HI'	'LO'
'A'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'A'	'D'	'A'	'D'	'HI'	'LO'	'HI'	'LO'
'B'	'B'	'A'	'D'	'HI'	'HI'	'HI'	'LO'
'A'	'B'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'A'	'A'	'A'	'A'	'HI'	'HI'	'HI'	'HI'
'C'	'A'	'A'	'D'	'LO'	'HI'	'HI'	'LO'
'C'	'C'	'B'	'A'	'LO'	'LO'	'HI'	'HI'
'B'	'C'	'B'	'A'	'HI'	'LO'	'HI'	'HI'
'A'	'A'	'A'	'C'	'HI'	'HI'	'HI'	'LO'
'A'	'A'	'B'	'D'	'HI'	'HI'	'HI'	'LO'
'C'	'C'	'A'	'B'	'LO'	'LO'	'HI'	'HI'
'C'	'C'	'A'	'D'	'LO'	'LO'	'HI'	'LO'
'D'	'D'	'D'	'A'	'LO'	'LO'	'LO'	'HI'
'A'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'A'	'C'	'A'	'C'	'HI'	'LO'	'HI'	'LO'
'A'	'C'	'D'	'D'	'HI'	'LO'	'LO'	'LO'
'B'	'B'	'A'	'C'	'HI'	'HI'	'HI'	'LO'
'C'	'A'	'B'	'A'	'LO'	'HI'	'HI'	'HI'
'C'	'C'	'B'	'A'	'LO'	'LO'	'HI'	'HI'
'B'	'C'	'D'	'B'	'HI'	'LO'	'LO'	'HI'
'D'	'D'	'A'	'D'	'LO'	'LO'	'HI'	'LO'
'D'	'C'	'C'	'A'	'LO'	'LO'	'LO'	'HI'
'A'	'D'	'A'	'D'	'HI'	'LO'	'HI'	'LO'
'B'	'A'	'B'	'C'	'HI'	'HI'	'HI'	'LO'
'B'	'D'	'B'	'B'	'HI'	'LO'	'HI'	'HI'
'C'	'C'	'A'	'D'	'LO'	'LO'	'HI'	'LO'
'D'	'D'	'D'	'A'	'LO'	'LO'	'LO'	'HI'
'B'	'C'	'B'	'B'	'HI'	'LO'	'HI'	'HI'
'D'	'D'	'A'	'D'	'LO'	'LO'	'HI'	'LO'
'B'	'C'	'C'	'D'	'HI'	'LO'	'LO'	'LO'
'A'	'C'	'B'	'D'	'HI'	'LO'	'HI'	'LO'
'B'	'C'	'A'	'A'	'HI'	'LO'	'HI'	'HI'
'A'	'C'	'A'	'D'	'HI'	'LO'	'HI'	'LO'
'B'	'C'	'D'	'A'	'HI'	'LO'	'LO'	'HI'
'A'	'D'	'D'	'C'	'HI'	'LO'	'LO'	'LO'
'A'	'B'	'D'	'B'	'HI'	'HI'	'LO'	'HI'
'A'	'A'	'B'	'D'	'HI'	'HI'	'HI'	'LO'
'C'	'B'	'B'	'C'	'LO'	'HI'	'HI'	'LO'
'B'	'A'	'A'	'A'	'HI'	'HI'	'HI'	'HI'
'A'	'C'	'C'	'C'	'HI'	'LO'	'LO'	'LO'
'C'	'A'	'A'	'D'	'LO'	'HI'	'HI'	'LO'
'C'	'D'	'B'	'A'	'LO'	'LO'	'HI'	'HI'
'C'	'C'	'D'	'A'	'LO'	'LO'	'LO'	'HI'
'B'	'A'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'C'	'C'	'D'	'C'	'LO'	'LO'	'LO'	'LO'
'A'	'C'	'B'	'B'	'HI'	'LO'	'HI'	'HI'
'A'	'B'	'A'	'B'	'HI'	'HI'	'HI'	'HI'
'D'	'B'	'B'	'D'	'LO'	'HI'	'HI'	'LO'
'A'	'B'	'D'	'D'	'HI'	'HI'	'LO'	'LO'
'B'	'B'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'D'	'D'	'D'	'A'	'LO'	'LO'	'LO'	'HI'
'A'	'B'	'C'	'B'	'HI'	'HI'	'LO'	'HI'
'B'	'B'	'D'	'B'	'HI'	'HI'	'LO'	'HI'
'D'	'B'	'B'	'A'	'LO'	'HI'	'HI'	'HI'
'B'	'D'	'B'	'B'	'HI'	'LO'	'HI'	'HI'
'B'	'A'	'D'	'C'	'HI'	'HI'	'LO'	'LO'
'B'	'B'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'D'	'D'	'D'	'B'	'LO'	'LO'	'LO'	'HI'
'A'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'B'	'A'	'B'	'A'	'HI'	'HI'	'HI'	'HI'
'A'	'B'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'D'	'A'	'A'	'A'	'LO'	'HI'	'HI'	'HI'
'B'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'B'	'D'	'HI'	'HI'	'HI'	'LO'
'B'	'D'	'C'	'C'	'HI'	'LO'	'LO'	'LO'
'A'	'D'	'D'	'A'	'HI'	'LO'	'LO'	'HI'
'A'	'A'	'A'	'B'	'HI'	'HI'	'HI'	'HI'
'B'	'D'	'C'	'A'	'HI'	'LO'	'LO'	'HI'
'D'	'D'	'B'	'B'	'LO'	'LO'	'HI'	'HI'
'A'	'D'	'C'	'D'	'HI'	'LO'	'LO'	'LO'
'C'	'B'	'B'	'C'	'LO'	'HI'	'HI'	'LO'
'A'	'A'	'A'	'D'	'HI'	'HI'	'HI'	'LO'
'B'	'A'	'B'	'D'	'HI'	'HI'	'HI'	'LO'
'A'	'C'	'A'	'B'	'HI'	'LO'	'HI'	'HI'
'C'	'B'	'B'	'B'	'LO'	'HI'	'HI'	'HI'
'C'	'D'	'B'	'B'	'LO'	'LO'	'HI'	'HI'
'A'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'C'	'B'	'B'	'B'	'LO'	'HI'	'HI'	'HI'
'D'	'C'	'C'	'A'	'LO'	'LO'	'LO'	'HI'
'C'	'C'	'D'	'A'	'LO'	'LO'	'LO'	'HI'
'D'	'B'	'A'	'B'	'LO'	'HI'	'HI'	'HI'
'B'	'C'	'C'	'A'	'HI'	'LO'	'LO'	'HI'
'B'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'C'	'D'	'B'	'A'	'LO'	'LO'	'HI'	'HI'
'D'	'D'	'C'	'D'	'LO'	'LO'	'LO'	'LO'
'A'	'B'	'A'	'C'	'HI'	'HI'	'HI'	'LO'
'A'	'B'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'B'	'D'	'B'	'C'	'HI'	'LO'	'HI'	'LO'
'A'	'B'	'A'	'C'	'HI'	'HI'	'HI'	'LO'
'C'	'B'	'B'	'D'	'LO'	'HI'	'HI'	'LO'
'A'	'B'	'A'	'D'	'HI'	'HI'	'HI'	'LO'
'A'	'B'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'B'	'A'	'A'	'B'	'HI'	'HI'	'HI'	'HI'
'C'	'D'	'D'	'C'	'LO'	'LO'	'LO'	'LO'
'C'	'A'	'B'	'A'	'LO'	'HI'	'HI'	'HI'
'A'	'C'	'D'	'A'	'HI'	'LO'	'LO'	'HI'
'A'	'B'	'A'	'C'	'HI'	'HI'	'HI'	'LO'
'A'	'A'	'B'	'A'	'HI'	'HI'	'HI'	'HI'
'B'	'B'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'A'	'A'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'D'	'B'	'B'	'A'	'LO'	'HI'	'HI'	'HI'
'D'	'C'	'D'	'A'	'LO'	'LO'	'LO'	'HI'
'C'	'A'	'C'	'C'	'LO'	'HI'	'LO'	'LO'
'C'	'C'	'B'	'A'	'LO'	'LO'	'HI'	'HI'
'A'	'B'	'A'	'B'	'HI'	'HI'	'HI'	'HI'
'A'	'C'	'A'	'D'	'HI'	'LO'	'HI'	'LO'
'C'	'A'	'B'	'A'	'LO'	'HI'	'HI'	'HI'
'B'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'C'	'B'	'B'	'D'	'LO'	'HI'	'HI'	'LO'
'A'	'B'	'B'	'A'	'HI'	'HI'	'HI'	'HI'
'C'	'A'	'D'	'A'	'LO'	'HI'	'LO'	'HI'
'D'	'D'	'B'	'A'	'LO'	'LO'	'HI'	'HI'
'A'	'A'	'B'	'C'	'HI'	'HI'	'HI'	'LO'
'A'	'A'	'B'	'D'	'HI'	'HI'	'HI'	'LO'
'C'	'D'	'B'	'C'	'LO'	'LO'	'HI'	'LO'
'D'	'C'	'C'	'C'	'LO'	'LO'	'LO'	'LO'
'A'	'C'	'A'	'D'	'HI'	'LO'	'HI'	'LO'
'A'	'A'	'A'	'D'	'HI'	'HI'	'HI'	'LO'
'C'	'B'	'A'	'C'	'LO'	'HI'	'HI'	'LO'
'B'	'C'	'B'	'B'	'HI'	'LO'	'HI'	'HI'
'C'	'C'	'C'	'C'	'LO'	'LO'	'LO'	'LO'
'D'	'C'	'D'	'A'	'LO'	'LO'	'LO'	'HI'
'A'	'A'	'B'	'D'	'HI'	'HI'	'HI'	'LO'
'D'	'D'	'B'	'A'	'LO'	'LO'	'HI'	'HI'
'A'	'A'	'B'	'B'	'HI'	'HI'	'HI'	'HI'
'C'	'D'	'A'	'A'	'LO'	'LO'	'HI'	'HI'
'D'	'D'	'D'	'A'	'LO'	'LO'	'LO'	'HI'
'B'	'B'	'B'	'A'	'HI'	'HI'	'HI'	'HI'
'D'	'B'	'D'	'A'	'LO'	'HI'	'LO'	'HI'
'B'	'B'	'B'	'C'	'HI'	'HI'	'HI'	'LO'
'D'	'B'	'C'	'B'	'LO'	'HI'	'LO'	'HI'
'C'	'B'	'B'	'D'	'LO'	'HI'	'HI'	'LO'
'D'	'B'	'A'	'A'	'LO'	'HI'	'HI'	'HI'
'D'	'B'	'B'	'B'	'LO'	'HI'	'HI'	'HI'
'D'	'D'	'B'	'B'	'LO'	'LO'	'HI'	'HI'
'A'	'D'	'A'	'C'	'HI'	'LO'	'HI'	'LO'
'C'	'D'	'A'	'B'	'LO'	'LO'	'HI'	'HI'
'B'	'B'	'D'	'B'	'HI'	'HI'	'LO'	'HI'
'C'	'D'	'D'	'C'	'LO'	'LO'	'LO'	'LO'
'B'	'C'	'D'	'A'	'HI'	'LO'	'LO'	'HI'
'A'	'A'	'A'	'B'	'HI'	'HI'	'HI'	'HI'
'A'	'A'	'C'	'A'	'HI'	'HI'	'LO'	'HI'
'B'	'A'	'A'	'D'	'HI'	'HI'	'HI'	'LO'
'B'	'A'	'D'	'B'	'HI'	'HI'	'LO'	'HI'
'B'	'B'	'D'	'A'	'HI'	'HI'	'LO'	'HI'
'C'	'D'	'C'	'A'	'LO'	'LO'	'LO'	'HI'
'B'	'C'	'C'	'A'	'HI'	'LO'	'LO'	'HI'
'C'	'A'	'B'	'A'	'LO'	'HI'	'HI'	'HI'
'C'	'B'	'A'	'C'	'LO'	'HI'	'HI'	'LO'
'B'	'C'	'C'	'D'	'HI'	'LO'	'LO'	'LO'
'C'	'B'	'D'	'A'	'LO'	'HI'	'LO'	'HI'
'B'	'B'	'C'	'A'	'HI'	'HI'	'LO'	'HI'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100773&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100773&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100773&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'Gwilym Jenkins' @ 72.249.127.135







Tabulation of Results
happiness x depression
HILO
HI5746
LO4316

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
happiness  x  depression \tabularnewline
  & HI & LO \tabularnewline
HI & 57 & 46 \tabularnewline
LO & 43 & 16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100773&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]happiness  x  depression[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]57[/C][C]46[/C][/ROW]
[C]LO[/C][C]43[/C][C]16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100773&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100773&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
happiness x depression
HILO
HI5746
LO4316







Tabulation of Expected Results
happiness x depression
HILO
HI63.5839.42
LO36.4222.58

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
happiness  x  depression \tabularnewline
  & HI & LO \tabularnewline
HI & 63.58 & 39.42 \tabularnewline
LO & 36.42 & 22.58 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100773&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]happiness  x  depression[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]63.58[/C][C]39.42[/C][/ROW]
[C]LO[/C][C]36.42[/C][C]22.58[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100773&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100773&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
happiness x depression
HILO
HI63.5839.42
LO36.4222.58







Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic4.89
P value0.03

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 4.89 \tabularnewline
P value & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100773&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]4.89[/C][/ROW]
[ROW][C]P value[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100773&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100773&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 with simulated p-value (based on 2000 replicates)
Chi Square Statistic4.89
P value0.03



Parameters (Session):
par1 = 7 ; par2 = 8 ; par3 = Exact Pearson Chi-Squared by Simulation ;
Parameters (R input):
par1 = 7 ; par2 = 8 ; par3 = Exact Pearson Chi-Squared by Simulation ;
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 != 'McNemar Chi-Squared') {
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)
a<-table.element(a, 'Chi Square Statistic', 1, TRUE)
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
a<-table.row.end(a)
if(!simulate.p.value){
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$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')