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*The author of this computation has been verified*

R Software Module

rwasp_hypothesisvariance1.wasp

Title produced by software

Testing Variance - Critical Value (Region)

Date of computation

Tue, 04 Dec 2012 13:09:16 -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/2012/Dec/04/t1354644590d6261aqssu2ren3.htm/, Retrieved Sat, 08 Nov 2025 16:08:36 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=196451, Retrieved Sat, 08 Nov 2025 16:08:36 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

301

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

-     [Testing Variance - Critical Value (Region)] [] [2011-10-13 20:48:25] [db02340d173e1867f482a5214ce3fc15]
- R       [Testing Variance - Critical Value (Region)] [variance vrouwen] [2012-12-04 18:09:16] [e9a6d890a409316933ed6704aac2b42b] [Current]
- R P       [Testing Variance - Critical Value (Region)] [variance mannen] [2012-12-04 18:11:19] [bb9c1d1bc63af35ef3129489f33fa7df] 
- RMP       [Testing Variance - Confidence Intervals for Population Variance] [variance populati...] [2012-12-04 18:21:05] [bb9c1d1bc63af35ef3129489f33fa7df] 

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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	'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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196451&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196451&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196451&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	'Gwilym Jenkins' @ jenkins.wessa.net

Testing Variance - Critical value (region)
Sample size	63
Sample variance	13.7808
Null hypothesis (H0)	13
Type I error (alpha)	0.35
Critical value	13.7753607125852
Conclusion	Reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Variance - Critical value (region) \tabularnewline
Sample size & 63 \tabularnewline
Sample variance & 13.7808 \tabularnewline
Null hypothesis (H0) & 13 \tabularnewline
Type I error (alpha) & 0.35 \tabularnewline
Critical value & 13.7753607125852 \tabularnewline
Conclusion & Reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196451&T=1

[TABLE]
[ROW][C]Testing Variance - Critical value (region)[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample variance[/C][C]13.7808[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]13[/C][/ROW]
[ROW][C]Type I error (alpha)[/C][C]0.35[/C][/ROW]
[ROW][C]Critical value[/C][C]13.7753607125852[/C][/ROW]
[ROW][C]Conclusion[/C][C]Reject the null hypothesis[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196451&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196451&T=1

As an alternative you can also use a QR Code:

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

Testing Variance - Critical value (region)
Sample size	63
Sample variance	13.7808
Null hypothesis (H0)	13
Type I error (alpha)	0.35
Critical value	13.7753607125852
Conclusion	Reject the null hypothesis

Parameters (Session):

par1 = 63 ; par2 = 13.7808 ; par3 = 13 ; par4 = 0.35 ;

Parameters (R input):

par1 = 63 ; par2 = 13.7808 ; par3 = 13 ; par4 = 0.35 ;

R code (references can be found in the software module):

par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
par4<-as.numeric(par4)
df <- par1 - 1
if (par2 > par3)
{
myc <- par3 / df * qchisq(1-par4,df)
} else {
myc <- par3 / df * qchisq(par4,df)
}
myc
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_variance.htm','Testing Variance - Critical value (region)','learn more about Statistical Hypothesis Testing about the Variance'),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample variance',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis (H0)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type I error (alpha)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Critical value',header=TRUE)
a<-table.element(a,myc)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Conclusion',header=TRUE)
if (par2 > par3)
{
if (par2 < myc) a<-table.element(a,'There is no reason to reject the null hypothesis') else a<-table.element(a,'Reject the null hypothesis')
} else {
if (par2 > myc) a<-table.element(a,'There is no reason to reject the null hypothesis') else a<-table.element(a,'Reject the null hypothesis')
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

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