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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesisvariance3.wasp
Title produced by softwareTesting Variance - Confidence Intervals for Sample Variance
Date of computationSun, 27 Oct 2013 13:20:07 -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/2013/Oct/27/t13828944208yo9fsyla08200w.htm/, Retrieved Tue, 10 Feb 2026 14:15:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=219951, Retrieved Tue, 10 Feb 2026 14:15:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact277

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] [] [2013-10-27 16:51:54] [9dcc46711c3068bfcecf3b31ff5fbf47]
- RMPD    [Testing Variance - Confidence Intervals for Sample Variance] [] [2013-10-27 17:20:07] [7fc85dd99c85da2c427f3775ff20f5eb] [Current]
- R P       [Testing Variance - Confidence Intervals for Sample Variance] [] [2013-10-27 17:21:36] [9dcc46711c3068bfcecf3b31ff5fbf47]
- RMP       [Minimum Sample Size - Testing Mean] [] [2013-10-27 17:43:54] [9dcc46711c3068bfcecf3b31ff5fbf47]
- RMP       [Testing Mean with known Variance - Sample Size] [] [2013-10-27 17:47:37] [9dcc46711c3068bfcecf3b31ff5fbf47]
- R P         [Testing Mean with known Variance - Sample Size] [] [2013-10-27 17:50:12] [9dcc46711c3068bfcecf3b31ff5fbf47]
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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' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=219951&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' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=219951&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=219951&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' @ fisher.wessa.net






Testing Variance - Confidence Intervals for Sample Variance
Sample size98
Null hypothesis (H0)13
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6511.250281653826614.7272100857417
Left one-sided confidence interval at 0.6512.2075721033507+inf
Right one-sided confidence interval at 0.65013.640469530074
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Variance - Confidence Intervals for Sample Variance \tabularnewline
Sample size & 98 \tabularnewline
Null hypothesis (H0) & 13 \tabularnewline
Confidence interval & 0.65 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.65 & 11.2502816538266 & 14.7272100857417 \tabularnewline
Left one-sided confidence interval at  0.65 & 12.2075721033507 & +inf \tabularnewline
Right one-sided confidence interval at  0.65 & 0 & 13.640469530074 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=219951&T=1

[TABLE]
[ROW][C]Testing Variance - Confidence Intervals for Sample Variance[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]13[/C][/ROW]
[ROW][C]Confidence interval[/C][C]0.65[/C][/ROW]
[ROW][C]Type of Interval[/C][C]Left tail[/C][C]Right tail[/C][/ROW]
[ROW][C]Two-sided confidence interval at  0.65[/C][C]11.2502816538266[/C][C]14.7272100857417[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.65[/C][C]12.2075721033507[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.65[/C][C]0[/C][C]13.640469530074[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=219951&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=219951&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 - Confidence Intervals for Sample Variance
Sample size98
Null hypothesis (H0)13
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6511.250281653826614.7272100857417
Left one-sided confidence interval at 0.6512.2075721033507+inf
Right one-sided confidence interval at 0.65013.640469530074
more information about confidence interval


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 98 ; par2 = 13 ; par3 = 0.65 ;
Parameters (R input):
par1 = 98 ; par2 = 13 ; par3 = 0.65 ;
R code (references can be found in the software module):
par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
df <- par1 - 1
halfalpha <- (1 - par3) / 2
ua <- qchisq(halfalpha,df) * par2 / df
ub <- qchisq(1-halfalpha,df) * par2 / df
ua
ub
ul <- qchisq(1-par3,df) * par2 / df
ul
ur <- qchisq(par3,df) * par2 / df
ur
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_variance.htm','Testing Variance - Confidence Intervals for Sample Variance','learn more about Statistical Hypothesis Testing about the Variance'),3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,par1,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis (H0)',header=TRUE)
a<-table.element(a,par2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence interval',header=TRUE)
a<-table.element(a,par3,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type of Interval',header=TRUE)
a<-table.element(a,'Left tail',header=TRUE)
a<-table.element(a,'Right tail',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Two-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,ua)
a<-table.element(a,ub)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Left one-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,ul)
a<-table.element(a,'+inf')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Right one-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,'0')
a<-table.element(a,ur)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, hyperlink('ht_variance.htm#ex3', 'more information about confidence interval','example'),3,TRUE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')