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R Software Module--
Title produced by softwareTesting Variance - Confidence Intervals for Population Variance
Date of computationSun, 16 Dec 2012 05:09:53 -0500
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/Dec/16/t1355652744ln6z6l6b1ef89jg.htm/, Retrieved Thu, 28 Mar 2024 16:09:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=200205, Retrieved Thu, 28 Mar 2024 16:09:55 +0000
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IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Variance - Confidence Intervals for Population Variance] [] [2011-10-13 20:58:40] [db02340d173e1867f482a5214ce3fc15]
- RM      [Testing Variance - Confidence Intervals for Population Variance] [] [2012-12-16 10:09:53] [7338cd26db379c04f0557b08db763c32] [Current]
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Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=200205&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=200205&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=200205&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net







Testing Variance - Confidence Intervals for Population Variance
Sample size63
Sample variance13.7808
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6511.823086367816416.5691501896893
Left one-sided confidence interval at 0.6513.0051331313834+inf
Right one-sided confidence interval at 0.65014.9452900354091
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Variance - Confidence Intervals for Population Variance \tabularnewline
Sample size & 63 \tabularnewline
Sample variance & 13.7808 \tabularnewline
Confidence interval & 0.65 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.65 & 11.8230863678164 & 16.5691501896893 \tabularnewline
Left one-sided confidence interval at  0.65 & 13.0051331313834 & +inf \tabularnewline
Right one-sided confidence interval at  0.65 & 0 & 14.9452900354091 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=200205&T=1

[TABLE]
[ROW][C]Testing Variance - Confidence Intervals for Population Variance[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample variance[/C][C]13.7808[/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]11.8230863678164[/C][C]16.5691501896893[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.65[/C][C]13.0051331313834[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.65[/C][C]0[/C][C]14.9452900354091[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=200205&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=200205&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 - Confidence Intervals for Population Variance
Sample size63
Sample variance13.7808
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6511.823086367816416.5691501896893
Left one-sided confidence interval at 0.6513.0051331313834+inf
Right one-sided confidence interval at 0.65014.9452900354091
more information about confidence interval



Parameters (Session):
par1 = 63 ; par2 = 13.7808 ; par3 = 0.65 ;
Parameters (R input):
par1 = 63 ; par2 = 13.7808 ; par3 = 0.65 ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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
ub <- par2 * df / qchisq(halfalpha,df)
ua <- par2 * df / qchisq(1-halfalpha,df)
ua
ub
ur <- par2 * df / qchisq(1-par3,df)
ur
ul <- par2 * df / qchisq(par3,df)
ul
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_variance.htm','Testing Variance - Confidence Intervals for Population 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,'Sample variance',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#ex4', 'more information about confidence interval','example'),3,TRUE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')