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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_STARS_Bullying_Study_alt.wasp
Title produced by softwareChi-Square Test
Date of computationThu, 05 Dec 2013 18:46:16 -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/2013/Dec/05/t138628719747fvgcuym7c43l0.htm/, Retrieved Tue, 25 Aug 2026 15:10:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=231284, Retrieved Tue, 25 Aug 2026 15:10:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact449

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Bullying by Gender] [2009-11-23 19:30:44] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R P   [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Bullying by Gende...] [2009-11-24 18:28:32] [b98453cac15ba1066b407e146608df68]
- R       [Chi Square Measure of Association- Free Statistics Software (Calculator)] [STARS Bullying Study] [2009-11-25 00:02:16] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD      [Chi-Square Test] [STARS Bullying Study] [2010-11-15 17:05:23] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R           [Chi-Square Test] [STARS Bullying Data] [2010-11-16 14:40:36] [98fd0e87c3eb04e0cc2efde01dbafab6]
-  MP           [Chi-Square Test] [chi2 Example - Ty...] [2011-11-14 11:58:51] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R PD              [Chi-Square Test] [Question 1 Are bo...] [2013-12-05 23:46:16] [99275a073570f839bf6839fc58d94e21] [Current]
-   PD                [Chi-Square Test] [Question 2 boys a...] [2013-12-05 23:55:23] [8e5541e5bce0cc6af5bd3c047ffa846b]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
'g'	'Boys'
'g'	'Boys'
'g'	'Girls'
'g'	'Boys'
'b'	'Not_bul'
'b'	'Boys'
'b'	'Not_bul'
'g'	'Not_bul'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Both'
'b'	'Boys'
'g'	'Not_bul'
'g'	'Not_bul'
'b'	'Boys'
'b'	'Boys'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Boys'
'b'	'Not_bul'
'g'	'Boys'
'g'	'Girls'
'b'	'Boys'
'b'	'Not_bul'
'b'	'Boys'
'b'	'Boys'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Both'
'g'	'Both'
'b'	'Both'
'g'	'Boys'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Both'
'b'	'Not_bul'
'g'	'Not_bul'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Girls'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Not_bul'
'g'	'Girls'
'g'	'Both'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Boys'
'b'	'Not_bul'
'b'	'Not_bul'
'g'	'Not_bul'
'g'	'Girls'
'g'	'Not_bul'
'g'	'Boys'
'g'	'Girls'
'g'	'Girls'
'b'	'Boys'
'b'	'Boys'
'g'	'Girls'
'b'	'Boys'
'g'	'Girls'
'b'	'Boys'
'b'	'Not_bul'
'b'	'Boys'
'g'	'Girls'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Both'
'g'	'Both'
'g'	'Not_bul'
'b'	'Boys'
'b'	'Not_bul'
'b'	'Not_bul'
'b'	'Boys'
'g'	'Not_bul'
'g'	'Both'
'g'	'Both'
'g'	'Both'
'b'	'Boys'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Boys'
'b'	'Boys'
'g'	'Girls'
'g'	'Girls'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Not_bul'
'g'	'Not_bul'
'g'	'Both'
'g'	'Girls'
'g'	'Girls'
'g'	'Not_bul'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Girls'
'g'	'Boys'
'b'	'Boys'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Girls'
'g'	'Boys'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Boys'
'b'	'Boys'
'b'	'Boys'
'b'	'Boys'
'g'	'Not_bul'
'g'	'Boys'
'b'	'Boys'
'b'	'Boys'
'g'	'Not_bul'
'g'	'Not_bul'
'g'	'Girls'
'g'	'Girls'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Boys'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Boys'
'g'	'Boys'
'g'	'Not_bul'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Girls'
'b'	'Boys'
'b'	'Boys'
'g'	'Both'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Boys'
'b'	'Boys'
'g'	'Boys'
'g'	'Girls'
'b'	'Not_bul'
'g'	'Not_bul'
'g'	'Girls'
'b'	'Not_bul'
'b'	'Boys'
'g'	'Boys'
'g'	'Not_bul'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Not_bul'
'g'	'Not_bul'
'g'	'Not_bul'
'b'	'Boys'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Boys'
'b'	'Boys'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Boys'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Not_bul'
'b'	'Not_bul'
'g'	'Not_bul'
'g'	'Both'
'b'	'Boys'
'b'	'Both'
'g'	'Boys'
'g'	'Both'
'b'	'Boys'
'g'	'Both'
'b'	'Not_bul'
'b'	'Not_bul'
'g'	'Boys'
'b'	'Boys'
'g'	'Not_bul'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Boys'
'g'	'Not_bul'
'g'	'Both'
'b'	'Not_bul'
'g'	'Not_bul'
'b'	'Not_bul'

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231284&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231284&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231284&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Tabulation of Results
gender_of_bully x gender_of_bully
BothBoysGirlsNot_bul
Both18000
Boys07000
Girls00210
Not_bul00084

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
gender_of_bully  x  gender_of_bully \tabularnewline
  & Both & Boys & Girls & Not_bul \tabularnewline
Both & 18 & 0 & 0 & 0 \tabularnewline
Boys & 0 & 70 & 0 & 0 \tabularnewline
Girls & 0 & 0 & 21 & 0 \tabularnewline
Not_bul & 0 & 0 & 0 & 84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231284&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]gender_of_bully  x  gender_of_bully[/C][/ROW]
[ROW][C] [/C][C]Both[/C][C]Boys[/C][C]Girls[/C][C]Not_bul[/C][/ROW]
[C]Both[/C][C]18[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]Boys[/C][C]0[/C][C]70[/C][C]0[/C][C]0[/C][/ROW]
[C]Girls[/C][C]0[/C][C]0[/C][C]21[/C][C]0[/C][/ROW]
[C]Not_bul[/C][C]0[/C][C]0[/C][C]0[/C][C]84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231284&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231284&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
gender_of_bully x gender_of_bully
BothBoysGirlsNot_bul
Both18000
Boys07000
Girls00210
Not_bul00084






Tabulation of Expected Results
gender_of_bully x gender_of_bully
BothBoysGirlsNot_bul
Both1.686.531.967.83
Boys6.5325.397.6230.47
Girls1.967.622.289.14
Not_bul7.8330.479.1436.56

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
gender_of_bully  x  gender_of_bully \tabularnewline
  & Both & Boys & Girls & Not_bul \tabularnewline
Both & 1.68 & 6.53 & 1.96 & 7.83 \tabularnewline
Boys & 6.53 & 25.39 & 7.62 & 30.47 \tabularnewline
Girls & 1.96 & 7.62 & 2.28 & 9.14 \tabularnewline
Not_bul & 7.83 & 30.47 & 9.14 & 36.56 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231284&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]gender_of_bully  x  gender_of_bully[/C][/ROW]
[ROW][C] [/C][C]Both[/C][C]Boys[/C][C]Girls[/C][C]Not_bul[/C][/ROW]
[C]Both[/C][C]1.68[/C][C]6.53[/C][C]1.96[/C][C]7.83[/C][/ROW]
[C]Boys[/C][C]6.53[/C][C]25.39[/C][C]7.62[/C][C]30.47[/C][/ROW]
[C]Girls[/C][C]1.96[/C][C]7.62[/C][C]2.28[/C][C]9.14[/C][/ROW]
[C]Not_bul[/C][C]7.83[/C][C]30.47[/C][C]9.14[/C][C]36.56[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231284&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231284&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
gender_of_bully x gender_of_bully
BothBoysGirlsNot_bul
Both1.686.531.967.83
Boys6.5325.397.6230.47
Girls1.967.622.289.14
Not_bul7.8330.479.1436.56






Statistical Results
Pearson's Chi-squared test
Chi Square Statistic579
Degrees of Freedom9
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 579 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=231284&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]579[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=231284&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=231284&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
Chi Square Statistic579
Degrees of Freedom9
P value0


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; par2 = 2 ; par3 = Pearson Chi-Square ;
Parameters (R input):
par1 = 2 ; par2 = 2 ; par3 = Pearson Chi-Square ;
R code (references can be found in the software module):
par3 <- 'Pearson Chi-Square'
par2 <- '2'
par1 <- '2'
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi Square 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])
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) )
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')