Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_STARS_Bullying_Study_alt.wasp

Title produced by software

Chi-Square Test

Date of computation

Mon, 21 Nov 2011 06:33:28 -0500

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/21/t1321875342rjgnjdi8q8mxqam.htm/, Retrieved Tue, 10 Feb 2026 09:41:12 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=145702, Retrieved Tue, 10 Feb 2026 09:41:12 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

427

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] [how often bullied...] [2011-11-17 13:14:14] [bf6019510b5bcef0d7dc6b5e3f13759f]
-   P                 [Chi-Square Test] [how often bullied...] [2011-11-21 11:33:28] [35322618feb2a0e30523bb6f717fcf1b] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

'b'	'Many'
'b'	'Many'
'b'	'One'
'b'	'One'
'b'	'Few'
'b'	'One'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Few'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Few'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'One'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Few'
'b'	'Many'
'b'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'Few'
'g'	'Few'
'g'	'One'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'None'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'None'
'g'	'Few'
'g'	'Few'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'One'
'g'	'Many'
'g'	'Few'
'g'	'Few'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'One'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'One'
'g'	'Few'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Few'
'g'	'Few'
'g'	'Few'
'g'	'Many'
'g'	'One'
'g'	'Few'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'None'
'g'	'Many'
'g'	'Many'
'g'	'One'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Few'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'
'g'	'Many'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145702&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145702&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145702&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Tabulation of Results
gender x how_often_bullied
	Few	Many	None	One
b	19	65	0	4
g	26	70	3	6

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
gender  x  how_often_bullied \tabularnewline
  & Few & Many & None & One \tabularnewline
b & 19 & 65 & 0 & 4 \tabularnewline
g & 26 & 70 & 3 & 6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145702&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]gender  x  how_often_bullied[/C][/ROW]
[ROW][C] [/C][C]Few[/C][C]Many[/C][C]None[/C][C]One[/C][/ROW]
[C]b[/C][C]19[/C][C]65[/C][C]0[/C][C]4[/C][/ROW]
[C]g[/C][C]26[/C][C]70[/C][C]3[/C][C]6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145702&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145702&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
gender x how_often_bullied
	Few	Many	None	One
b	19	65	0	4
g	26	70	3	6

Tabulation of Expected Results
gender x how_often_bullied
	Few	Many	None	One
b	20.52	61.55	1.37	4.56
g	24.48	73.45	1.63	5.44

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
gender  x  how_often_bullied \tabularnewline
  & Few & Many & None & One \tabularnewline
b & 20.52 & 61.55 & 1.37 & 4.56 \tabularnewline
g & 24.48 & 73.45 & 1.63 & 5.44 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145702&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]gender  x  how_often_bullied[/C][/ROW]
[ROW][C] [/C][C]Few[/C][C]Many[/C][C]None[/C][C]One[/C][/ROW]
[C]b[/C][C]20.52[/C][C]61.55[/C][C]1.37[/C][C]4.56[/C][/ROW]
[C]g[/C][C]24.48[/C][C]73.45[/C][C]1.63[/C][C]5.44[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145702&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145702&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
gender x how_often_bullied
	Few	Many	None	One
b	20.52	61.55	1.37	4.56
g	24.48	73.45	1.63	5.44

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic	3.2
P value	0.41

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 3.2 \tabularnewline
P value & 0.41 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=145702&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]3.2[/C][/ROW]
[ROW][C]P value[/C][C]0.41[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=145702&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=145702&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 Statistic	3.2
P value	0.41

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi Square by simulation ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi Square by simulation ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code