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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 computationTue, 16 Dec 2014 14:51:25 +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/2014/Dec/16/t141874149105h7vf32aglc955.htm/, Retrieved Mon, 18 May 2026 16:25:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269661, Retrieved Mon, 18 May 2026 16:25:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact326

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Square Test] [] [2014-12-16 14:35:29] [43c8f2be0b9219ac9debd046caa2b681]
- R       [Chi-Square Test] [] [2014-12-16 14:51:25] [38732c0c0e83a1f2407a817538d94b9e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
'Often'	'Same'
'Not_bul'	'Same'
'Rarely'	'Same'
'Rarely'	'Differnt'
'Not_bul'	'Not_bul'
'Not_bul'	'Differnt'
'Not_bul'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Not_bul'	'Not_bul'
'Often'	'Both'
'Often'	'Same'
'Often'	'Differnt'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Differnt'
'Rarely'	'Both'
'Not_bul'	'Differnt'
'Not_bul'	'Not_bul'
'Rarely'	'Differnt'
'Not_bul'	'Not_bul'
'Not_bul'	'Same'
'Often'	'Differnt'
'Often'	'Differnt'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Differnt'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Often'	'Same'
'Often'	'Differnt'
'Often'	'Differnt'
'Rarely'	'Differnt'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Often'	'Differnt'
'Often'	'Differnt'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Not_bul'
'Rarely'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Differnt'
'Not_bul'	'Not_bul'
'Often'	'Differnt'
'Often'	'Differnt'
'Rarely'	'Differnt'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Both'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Not_bul'	'Not_bul'
'Often'	'Same'
'Often'	'Both'
'Rarely'	'Same'
'Often'	'Differnt'
'Rarely'	'Differnt'
'Rarely'	'Not_bul'
'Rarely'	'Same'
'Rarely'	'Same'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Often'	'Same'
'Rarely'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Both'
'Rarely'	'Both'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Rarely'	'Not_bul'
'Rarely'	'Not_bul'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Not_bul'	'Same'
'Often'	'Differnt'
'Often'	'Same'
'Often'	'Differnt'
'Not_bul'	'Same'
'Often'	'Differnt'
'Rarely'	'Both'
'Often'	'Same'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Often'	'Not_bul'
'Often'	'Both'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Often'	'Both'
'Rarely'	'Both'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Often'	'Differnt'
'Often'	'Same'
'Rarely'	'Same'
'Often'	'Not_bul'
'Not_bul'	'Not_bul'
'Often'	'Both'
'Often'	'Both'
'Rarely'	'Same'
'Not_bul'	'Differnt'
'Not_bul'	'Not_bul'
'Often'	'Both'
'Rarely'	'Both'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Rarely'	'Differnt'
'Rarely'	'Same'
'Not_bul'	'Not_bul'
'Rarely'	'Both'
'Rarely'	'Differnt'
'Rarely'	'Both'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Often'	'Same'
'Rarely'	'Same'
'Rarely'	'Differnt'
'Often'	'Both'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Often'	'Differnt'
'Rarely'	'Both'
'Rarely'	'Same'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Not_bul'	'Not_bul'
'Often'	'Same'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Often'	'Both'
'Not_bul'	'Not_bul'
'Rarely'	'Same'
'Not_bul'	'Not_bul'
'Often'	'Same'
'Rarely'	'Same'
'Rarely'	'Same'
'Not_bul'	'Not_bul'
'Often'	'Differnt'
'Often'	'Both'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Often'	'Not_bul'
'Rarely'	'Same'
'Often'	'Not_bul'
'Rarely'	'Same'
'Often'	'Same'
'Rarely'	'Differnt'
'Rarely'	'Both'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Differnt'
'Rarely'	'Differnt'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Rarely'	'Differnt'
'Not_bul'	'Not_bul'
'Often'	'Same'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'
'Not_bul'	'Not_bul'

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 0 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269661&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269661&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269661&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 time0 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net






Tabulation of Results
how_often_bullied x which_year
BothDifferntNot_bulSame
Not_bul03795
Often1016422
Rarely1115424

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
how_often_bullied  x  which_year \tabularnewline
  & Both & Differnt & Not_bul & Same \tabularnewline
Not_bul & 0 & 3 & 79 & 5 \tabularnewline
Often & 10 & 16 & 4 & 22 \tabularnewline
Rarely & 11 & 15 & 4 & 24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269661&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]how_often_bullied  x  which_year[/C][/ROW]
[ROW][C] [/C][C]Both[/C][C]Differnt[/C][C]Not_bul[/C][C]Same[/C][/ROW]
[C]Not_bul[/C][C]0[/C][C]3[/C][C]79[/C][C]5[/C][/ROW]
[C]Often[/C][C]10[/C][C]16[/C][C]4[/C][C]22[/C][/ROW]
[C]Rarely[/C][C]11[/C][C]15[/C][C]4[/C][C]24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269661&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269661&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
how_often_bullied x which_year
BothDifferntNot_bulSame
Not_bul03795
Often1016422
Rarely1115424






Tabulation of Expected Results
how_often_bullied x which_year
BothDifferntNot_bulSame
Not_bul9.4715.3339.2222.99
Often5.669.1623.4413.74
Rarely5.889.5124.3414.27

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
how_often_bullied  x  which_year \tabularnewline
  & Both & Differnt & Not_bul & Same \tabularnewline
Not_bul & 9.47 & 15.33 & 39.22 & 22.99 \tabularnewline
Often & 5.66 & 9.16 & 23.44 & 13.74 \tabularnewline
Rarely & 5.88 & 9.51 & 24.34 & 14.27 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269661&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]how_often_bullied  x  which_year[/C][/ROW]
[ROW][C] [/C][C]Both[/C][C]Differnt[/C][C]Not_bul[/C][C]Same[/C][/ROW]
[C]Not_bul[/C][C]9.47[/C][C]15.33[/C][C]39.22[/C][C]22.99[/C][/ROW]
[C]Often[/C][C]5.66[/C][C]9.16[/C][C]23.44[/C][C]13.74[/C][/ROW]
[C]Rarely[/C][C]5.88[/C][C]9.51[/C][C]24.34[/C][C]14.27[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269661&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269661&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
how_often_bullied x which_year
BothDifferntNot_bulSame
Not_bul9.4715.3339.2222.99
Often5.669.1623.4413.74
Rarely5.889.5124.3414.27






Statistical Results
Pearson's Chi-squared test
Chi Square Statistic134.61
Degrees of Freedom6
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 134.61 \tabularnewline
Degrees of Freedom & 6 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269661&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]134.61[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]6[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269661&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269661&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 Statistic134.61
Degrees of Freedom6
P value0


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi Square by simulation ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Square ;
R code (references can be found in the software module):
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')