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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared and McNemar Tests
Date of computationSat, 27 Nov 2010 12:48:56 +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/27/t1290862156wuz4bkn8sa2ut8x.htm/, Retrieved Wed, 19 Nov 2025 22:52:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102369, Retrieved Wed, 19 Nov 2025 22:52:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact428

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared and McNemar Tests] [] [2010-11-16 14:33:59] [b98453cac15ba1066b407e146608df68]
-   PD    [Chi-Squared and McNemar Tests] [verband tussen "o...] [2010-11-27 12:48:56] [6ff6d3268c67efbfcd6d6506b34b66fb] [Current]
-   PD      [Chi-Squared and McNemar Tests] [popularity and us...] [2010-11-29 19:47:33] [f730b099f190102bcd41f590a8dae16d]
-   PD      [Chi-Squared and McNemar Tests] [popularity and cr...] [2010-11-29 20:04:52] [f730b099f190102bcd41f590a8dae16d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1	1
2	1
2	2
2	1
2	1
1	1
1	2
1	1
2	1
2	1
2	1
1	1
2	2
2	1
2	1
1	1
2	1
2	2
1	1
2	1
1	2
1	1
1	1
2	2
1	2
1	1
2	1
2	1
2	2
1	1
2	1
1	1
1	1
2	2
2	1
2	1
1	1
2	2
1	2
2	2
2	1
2	1
2	1
1	2
1	2
2	1
2	1
2	1
1	1
2	1
1	1
2	1
2	2
1	1
2	1
1	2
2	1
2	2
2	1
2	2
2	2
2	2
1	1
2	2
1	1
2	1
1	2
1	1
1	2
1	1
1	1
2	1
2	1
1	1
2	1
1	1
1	2
1	1
1	1
2	2
2	2
1	1
1	1
1	1
1	1
1	1
1	2
1	1
2	2
2	1
1	2
2	2
1	1
2	1
2	1
1	1
1	1
1	1
1	2
2	2
1	2
1	1
1	1
2	2
2	1
2	1
2	1
2	1
2	1
2	1
2	2
2	2
1	2
2	2
2	1
2	2
1	2
2	1
2	2
1	1
2	1
1	2
2	1
1	2
2	1
2	1
2	1
2	2
1	2
2	1
2	1
1	2
2	1
2	2
2	1
2	2
1	1
1	1
2	1
2	2
2	1
2	1
1	1
1	1
1	1
2	2
2	2
1	1
1	1
2	2
2	2
1	1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102369&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102369&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102369&T=0

As an alternative you can also use a QR Code:  
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'RServer@AstonUniversity' @ vre.aston.ac.uk






Tabulation of Results
outgoing x popular
12
14620
25333

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
outgoing  x  popular \tabularnewline
  & 1 & 2 \tabularnewline
1 & 46 & 20 \tabularnewline
2 & 53 & 33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102369&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]outgoing  x  popular[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][/ROW]
[C]1[/C][C]46[/C][C]20[/C][/ROW]
[C]2[/C][C]53[/C][C]33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102369&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102369&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Results
outgoing x popular
12
14620
25333






Tabulation of Expected Results
outgoing x popular
12
142.9923.01
256.0129.99

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
outgoing  x  popular \tabularnewline
  & 1 & 2 \tabularnewline
1 & 42.99 & 23.01 \tabularnewline
2 & 56.01 & 29.99 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102369&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]outgoing  x  popular[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][/ROW]
[C]1[/C][C]42.99[/C][C]23.01[/C][/ROW]
[C]2[/C][C]56.01[/C][C]29.99[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102369&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102369&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
outgoing x popular
12
142.9923.01
256.0129.99






Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Chi Square Statistic0.74
Degrees of Freedom1
P value0.39

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with Yates' continuity correction \tabularnewline
Chi Square Statistic & 0.74 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.39 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102369&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with Yates' continuity correction[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]0.74[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.39[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102369&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102369&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Chi Square Statistic0.74
Degrees of Freedom1
P value0.39


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par2 = grey ; par3 = TRUE ; par4 = Unknown ;
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 != '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')