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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 computationTue, 26 Oct 2010 14:54:34 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/26/t12881047996a1u86hd1buksny.htm/, Retrieved Fri, 07 Nov 2025 02:18:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89240, Retrieved Fri, 07 Nov 2025 02:18:36 +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)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
- RMPD    [Testing Variance - Confidence Intervals for Sample Variance] [Question 8 - males] [2010-10-22 17:24:18] [9894f466352df31a128e82ec8d720241]
-           [Testing Variance - Confidence Intervals for Sample Variance] [] [2010-10-25 22:31:51] [5b5e2f42cf221276958b46f2b8444c18]
-   P         [Testing Variance - Confidence Intervals for Sample Variance] [] [2010-10-25 22:37:31] [5b5e2f42cf221276958b46f2b8444c18]
F                 [Testing Variance - Confidence Intervals for Sample Variance] [ws4q8] [2010-10-26 14:54:34] [5f761c4a622da19727fd2adf71158b48] [Current]
Feedback Forum
2010-10-31 10:09:08 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply] 
Volgende softwaremodule is meer aangewezen om deze vraag te beantwoorden: http://www.freestatistics.org/blog/date/2010/Oct/25/t1288043532phj41g2mwbpfvum.htm/

Hier zien we dat we de nulhypothese dienen te verwerpen en bovendien zien we dat de kritieke waarde (13,775) groter is dan de nulhypothese (13). We kunnen dus besluiten dat bij de vrouwelijke populatie de variantie significant groter is dan 13.
2010-11-01 11:28:02 [201022de16daa1dc0c172603d7d3cd57] [reply] 
De student heeft een sample size van 64 terwijl deze 63 moet zijn. Zo krijgen we zeer kleine verschillen in de berekening.

Post a new message

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=89240&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=89240&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89240&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 Sample Variance
Sample size64
Null hypothesis (H0)13
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6510.829666633367315.1357650626025
Left one-sided confidence interval at 0.6511.9959997277416+inf
Right one-sided confidence interval at 0.65013.7702046568511
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Variance - Confidence Intervals for Sample Variance \tabularnewline
Sample size & 64 \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 & 10.8296666333673 & 15.1357650626025 \tabularnewline
Left one-sided confidence interval at  0.65 & 11.9959997277416 & +inf \tabularnewline
Right one-sided confidence interval at  0.65 & 0 & 13.7702046568511 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89240&T=1

[TABLE]
[ROW][C]Testing Variance - Confidence Intervals for Sample Variance[/C][/ROW]
[ROW][C]Sample size[/C][C]64[/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]10.8296666333673[/C][C]15.1357650626025[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.65[/C][C]11.9959997277416[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.65[/C][C]0[/C][C]13.7702046568511[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89240&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89240&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 size64
Null hypothesis (H0)13
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6510.829666633367315.1357650626025
Left one-sided confidence interval at 0.6511.9959997277416+inf
Right one-sided confidence interval at 0.65013.7702046568511
more information about confidence interval


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 64 ; par2 = 13 ; par3 = 0.65 ;
Parameters (R input):
par1 = 64 ; 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')