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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesisvariance1.wasp
Title produced by softwareTesting Variance - Critical Value (Region)
Date of computationSun, 07 Oct 2012 06:31:47 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/07/t1349605977row5rhv1fftoy8l.htm/, Retrieved Fri, 13 Feb 2026 15:09:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=172822, Retrieved Fri, 13 Feb 2026 15:09:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact325

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Mean with unknown Variance - Critical Value] [post1-pre S] [2012-10-02 19:05:36] [ce03f21eb3e54b507ec8f2385bd7917e]
-   PD  [Testing Mean with unknown Variance - Critical Value] [I1M ≤ 20] [2012-10-02 19:20:44] [ce03f21eb3e54b507ec8f2385bd7917e]
- R  D    [Testing Mean with unknown Variance - Critical Value] [I1F ≤ 20] [2012-10-07 09:22:21] [74be16979710d4c4e7c6647856088456]
- RMPD      [Variability] [variability I1M] [2012-10-07 10:22:50] [ce03f21eb3e54b507ec8f2385bd7917e]
- RM D          [Testing Variance - Critical Value (Region)] [Variance I1M] [2012-10-07 10:31:47] [04b4f93d77ad48b80a96306d43249fd5] [Current]
- R               [Testing Variance - Critical Value (Region)] [Variance I1F] [2012-10-07 10:35:02] [ce03f21eb3e54b507ec8f2385bd7917e]
- RM              [Minimum Sample Size - Testing Mean] [minimum sample size] [2012-10-07 10:41:41] [ce03f21eb3e54b507ec8f2385bd7917e]
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Dataset

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'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=172822&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=172822&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172822&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'Gwilym Jenkins' @ jenkins.wessa.net






Testing Variance - Critical value (region)
Sample size98
Sample variance13.03
Null hypothesis (H0)13
Type I error (alpha)0.35
Critical value13.640469530074
ConclusionThere is no reason to reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Variance - Critical value (region) \tabularnewline
Sample size & 98 \tabularnewline
Sample variance & 13.03 \tabularnewline
Null hypothesis (H0) & 13 \tabularnewline
Type I error (alpha) & 0.35 \tabularnewline
Critical value & 13.640469530074 \tabularnewline
Conclusion & There is no reason to reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=172822&T=1

[TABLE]
[ROW][C]Testing Variance - Critical value (region)[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample variance[/C][C]13.03[/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]13.640469530074[/C][/ROW]
[ROW][C]Conclusion[/C][C]There is no reason to reject the null hypothesis[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=172822&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=172822&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:

Testing Variance - Critical value (region)
Sample size98
Sample variance13.03
Null hypothesis (H0)13
Type I error (alpha)0.35
Critical value13.640469530074
ConclusionThere is no reason to reject the null hypothesis


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.99205 ; par2 = 20 ;
Parameters (R input):
par1 = 98 ; par2 = 13.03 ; 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')