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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 computationTue, 11 Nov 2008 07:17:37 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/11/t1226413106xgws10s1883hnye.htm/, Retrieved Tue, 10 Feb 2026 18:28:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23504, Retrieved Tue, 10 Feb 2026 18:28:25 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact371

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Testing Variance - Critical Value (Region)] [Testing variance q1] [2008-11-11 14:17:37] [e81ac192d6ae6d77191d83851a692999] [Current]
-   P     [Testing Variance - Critical Value (Region)] [Q1 bis] [2008-11-11 14:21:56] [73d6180dc45497329efd1b6934a84aba]
-           [Testing Variance - Critical Value (Region)] [Part1_Q1b] [2008-11-11 19:06:06] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RM        [Testing Variance - p-value (probability)] [Part1_Q2] [2008-11-11 19:08:04] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
- RM      [Testing Variance - p-value (probability)] [Q2] [2008-11-11 14:26:52] [73d6180dc45497329efd1b6934a84aba]
- RMP     [Testing Variance - p-value (probability)] [Q2 bis] [2008-11-11 14:28:08] [73d6180dc45497329efd1b6934a84aba]
- RMP     [Testing Variance - Confidence Intervals for Sample Variance] [Confidence interv...] [2008-11-11 14:34:19] [73d6180dc45497329efd1b6934a84aba]
- RMP     [Testing Variance - Confidence Intervals for Sample Variance] [Confidence interv...] [2008-11-11 14:36:08] [73d6180dc45497329efd1b6934a84aba]
- RMP     [Testing Variance - Confidence Intervals for Population Variance] [Confidence interv...] [2008-11-11 14:38:14] [73d6180dc45497329efd1b6934a84aba]
- RMP     [Testing Variance - Confidence Intervals for Population Variance] [Confidence interv...] [2008-11-11 14:39:51] [73d6180dc45497329efd1b6934a84aba]
-         [Testing Variance - Critical Value (Region)] [Part1_Q1] [2008-11-11 19:00:20] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
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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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23504&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23504&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23504&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Testing Variance - Critical value (region)
Sample size320
Sample variance4.2
Null hypothesis (H0)4.8
Type I error (alpha)0.05
Critical value4.19241479848094
ConclusionThere is no reason to reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Variance - Critical value (region) \tabularnewline
Sample size & 320 \tabularnewline
Sample variance & 4.2 \tabularnewline
Null hypothesis (H0) & 4.8 \tabularnewline
Type I error (alpha) & 0.05 \tabularnewline
Critical value & 4.19241479848094 \tabularnewline
Conclusion & There is no reason to reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23504&T=1

[TABLE]
[ROW][C]Testing Variance - Critical value (region)[/C][/ROW]
[ROW][C]Sample size[/C][C]320[/C][/ROW]
[ROW][C]Sample variance[/C][C]4.2[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]4.8[/C][/ROW]
[ROW][C]Type I error (alpha)[/C][C]0.05[/C][/ROW]
[ROW][C]Critical value[/C][C]4.19241479848094[/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=23504&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23504&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 size320
Sample variance4.2
Null hypothesis (H0)4.8
Type I error (alpha)0.05
Critical value4.19241479848094
ConclusionThere is no reason to reject the null hypothesis


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 320 ; par2 = 4.2 ; par3 = 4.8 ; par4 = 0.05 ;
Parameters (R input):
par1 = 320 ; par2 = 4.2 ; par3 = 4.8 ; par4 = 0.05 ;
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')