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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesisvariance4.wasp
Title produced by softwareTesting Variance - Confidence Intervals for Population Variance
Date of computationSun, 09 Nov 2008 03:52:26 -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/09/t12262279695r3gon82fadnhxo.htm/, Retrieved Sun, 19 May 2024 11:33:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=22703, Retrieved Sun, 19 May 2024 11:33:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact195

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Testing Mean with known Variance - Critical Value] [Q1] [2008-11-04 11:50:48] [c5a66f1c8528a963efc2b82a8519f117]
- RMP     [Testing Variance - Confidence Intervals for Population Variance] [Various types of ...] [2008-11-09 10:52:26] [6797a1f4a60918966297e9d9220cabc2] [Current]
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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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22703&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22703&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22703&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' @ 72.249.127.135






Testing Variance - Confidence Intervals for Population Variance
Sample size320
Sample variance4.8
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.954.134218239926795.64155395858287
Left one-sided confidence interval at 0.954.23389991007907+inf
Right one-sided confidence interval at 0.9505.4956394124809
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Variance - Confidence Intervals for Population Variance \tabularnewline
Sample size & 320 \tabularnewline
Sample variance & 4.8 \tabularnewline
Confidence interval & 0.95 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.95 & 4.13421823992679 & 5.64155395858287 \tabularnewline
Left one-sided confidence interval at  0.95 & 4.23389991007907 & +inf \tabularnewline
Right one-sided confidence interval at  0.95 & 0 & 5.4956394124809 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22703&T=1

[TABLE]
[ROW][C]Testing Variance - Confidence Intervals for Population Variance[/C][/ROW]
[ROW][C]Sample size[/C][C]320[/C][/ROW]
[ROW][C]Sample variance[/C][C]4.8[/C][/ROW]
[ROW][C]Confidence interval[/C][C]0.95[/C][/ROW]
[ROW][C]Type of Interval[/C][C]Left tail[/C][C]Right tail[/C][/ROW]
[ROW][C]Two-sided confidence interval at  0.95[/C][C]4.13421823992679[/C][C]5.64155395858287[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.95[/C][C]4.23389991007907[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.95[/C][C]0[/C][C]5.4956394124809[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22703&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22703&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 Population Variance
Sample size320
Sample variance4.8
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.954.134218239926795.64155395858287
Left one-sided confidence interval at 0.954.23389991007907+inf
Right one-sided confidence interval at 0.9505.4956394124809
more information about confidence interval


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 320 ; par2 = 4.8 ; par3 = 0.95 ;
Parameters (R input):
par1 = 320 ; par2 = 4.8 ; par3 = 0.95 ;
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')