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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

Wed, 30 May 2012 11:13:38 -0400

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/2012/May/30/t1338390862ul23ctbdf8nleqs.htm/, Retrieved Tue, 10 Feb 2026 08:10:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=168029, Retrieved Tue, 10 Feb 2026 08:10:56 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

260

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Chi-Square Test] [Chi2 Height] [2012-05-30 15:13:38] [ba39d87c5b07fdeb99ead4bedf199d9b] [Current]

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Boxplots

'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Accurate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Overestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Overestimate'
'F'	'Underestimate'
'F'	'Accurate'
'F'	'Accurate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Accurate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Overestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Accurate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Accurate'
'F'	'Accurate'
'F'	'Underestimate'
'F'	'Accurate'
'F'	'Overestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Overestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Underestimate'
'F'	'Overestimate'
'F'	'Overestimate'
'F'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Overestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Overestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Overestimate'
'M'	'Overestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Overestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Overestimate'
'M'	'Overestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Overestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Accurate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Underestimate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Overestimate'
'M'	'Accurate'
'M'	'Accurate'
'M'	'Accurate'
'M'	'Underestimate'
'M'	'Overestimate'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 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 & 0 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168029&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168029&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168029&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	0 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Tabulation of Results
Gender x Estimate
	Accurate	Overestimate	Underestimate
F	8	7	85
M	18	10	54

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Gender  x  Estimate \tabularnewline
  & Accurate & Overestimate & Underestimate \tabularnewline
F & 8 & 7 & 85 \tabularnewline
M & 18 & 10 & 54 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168029&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Gender  x  Estimate[/C][/ROW]
[ROW][C] [/C][C]Accurate[/C][C]Overestimate[/C][C]Underestimate[/C][/ROW]
[C]F[/C][C]8[/C][C]7[/C][C]85[/C][/ROW]
[C]M[/C][C]18[/C][C]10[/C][C]54[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168029&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168029&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 Estimate
	Accurate	Overestimate	Underestimate
F	8	7	85
M	18	10	54

Tabulation of Expected Results
Gender x Estimate
	Accurate	Overestimate	Underestimate
F	14.29	9.34	76.37
M	11.71	7.66	62.63

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Gender  x  Estimate \tabularnewline
  & Accurate & Overestimate & Underestimate \tabularnewline
F & 14.29 & 9.34 & 76.37 \tabularnewline
M & 11.71 & 7.66 & 62.63 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168029&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Gender  x  Estimate[/C][/ROW]
[ROW][C] [/C][C]Accurate[/C][C]Overestimate[/C][C]Underestimate[/C][/ROW]
[C]F[/C][C]14.29[/C][C]9.34[/C][C]76.37[/C][/ROW]
[C]M[/C][C]11.71[/C][C]7.66[/C][C]62.63[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168029&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168029&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 Estimate
	Accurate	Overestimate	Underestimate
F	14.29	9.34	76.37
M	11.71	7.66	62.63

Statistical Results
Pearson's Chi-squared test
Chi Square Statistic	9.6
Degrees of Freedom	2
P value	0.01

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 9.6 \tabularnewline
Degrees of Freedom & 2 \tabularnewline
P value & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=168029&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]9.6[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]2[/C][/ROW]
[ROW][C]P value[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=168029&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=168029&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
Chi Square Statistic	9.6
Degrees of Freedom	2
P value	0.01

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Square ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code