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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, 18 Nov 2012 10:20:24 -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/Nov/18/t13532524071qcnbfebhzrl7n2.htm/, Retrieved Mon, 29 Apr 2024 21:16:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=190206, Retrieved Mon, 29 Apr 2024 21:16:37 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Testing Variance - Confidence Intervals for Sample Variance] [X-square] [2012-11-18 15:20:24] [4c917d823355d00d361b7013e9f37760] [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'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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=190206&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=190206&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=190206&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Testing Variance - Confidence Intervals for Sample Variance
Sample size289
Null hypothesis (H0)1200
Confidence interval0.8
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.81073.761404465161329.80682692368
Left one-sided confidence interval at 0.81115.13052552388+inf
Right one-sided confidence interval at 0.801283.2504304644
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Variance - Confidence Intervals for Sample Variance \tabularnewline
Sample size & 289 \tabularnewline
Null hypothesis (H0) & 1200 \tabularnewline
Confidence interval & 0.8 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.8 & 1073.76140446516 & 1329.80682692368 \tabularnewline
Left one-sided confidence interval at  0.8 & 1115.13052552388 & +inf \tabularnewline
Right one-sided confidence interval at  0.8 & 0 & 1283.2504304644 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=190206&T=1

[TABLE]
[ROW][C]Testing Variance - Confidence Intervals for Sample Variance[/C][/ROW]
[ROW][C]Sample size[/C][C]289[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]1200[/C][/ROW]
[ROW][C]Confidence interval[/C][C]0.8[/C][/ROW]
[ROW][C]Type of Interval[/C][C]Left tail[/C][C]Right tail[/C][/ROW]
[ROW][C]Two-sided confidence interval at  0.8[/C][C]1073.76140446516[/C][C]1329.80682692368[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.8[/C][C]1115.13052552388[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.8[/C][C]0[/C][C]1283.2504304644[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=190206&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=190206&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 Sample Variance
Sample size289
Null hypothesis (H0)1200
Confidence interval0.8
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.81073.761404465161329.80682692368
Left one-sided confidence interval at 0.81115.13052552388+inf
Right one-sided confidence interval at 0.801283.2504304644
more information about confidence interval



Parameters (Session):
par1 = 289 ; par2 = 1200 ; par3 = 0.80 ;
Parameters (R input):
par1 = 289 ; par2 = 1200 ; par3 = 0.80 ;
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')