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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 computationThu, 13 Nov 2008 02:07:05 -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/13/t1226567306xg6zchet5mfe0tq.htm/, Retrieved Sun, 19 May 2024 10:48:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24496, Retrieved Sun, 19 May 2024 10:48:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Testing Variance - Confidence Intervals for Sample Variance] [tinneke_debock.hy...] [2008-11-13 09:07:05] [20137734a2343a7bbbd59daaec7ad301] [Current]
Feedback Forum
2008-11-15 18:08:10 [Philip Van Herck] [reply] 
Het juiste antwoord is: Het antwoord hangt af van de waarde van de Type I Error, de productiekosten en de voordelen van het voorzien van betere kwaliteit ten aanzien van de klanten.
2008-11-24 17:55:05 [Marlies Polfliet] [reply] 
De student had hier de juiste berekeningen gemaakt, maar had daaruit geen conclusies getrokken. Het antwoord op deze vraag hangt af van de gekozen Alfa (type I error) , maar ook van enkele niet- statistische factoren zoals de productiekosten en de voordelen van het voorzien van een betere kwaliteit voor de klanten.
2008-11-24 21:43:41 [Jonas Scheltjens] [reply] 
Q3: Hier heeft de student geen antwoord gegeven. Bij deze opgave is het wenselijk om zeker naar de volgende gegevens te kijken vooraleer overhaast beslissingen te nemen: ten eerste hangt het af van de de Type 1 Error, alpha (deze is optioneel en wordt gekozen door het management). Voorts speelt de winst die men genereert door betere kwaliteit geven aan de klanten (die op hun beurt dan mogelijk meer uitgeven aan de producten) een grote rol en tenslotte is de bijhorende productiekost ook niet onbelangrijk. Men zal met deze informatie een goed doordachte beslissing kunnen nemen.

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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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24496&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' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24496&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24496&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Testing Variance - Confidence Intervals for Sample Variance
Sample size320
Null hypothesis (H0)4.8
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.954.083981145823795.57300042302749
Left one-sided confidence interval at 0.954.19241479848094+inf
Right one-sided confidence interval at 0.9505.44179137186305
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Variance - Confidence Intervals for Sample Variance \tabularnewline
Sample size & 320 \tabularnewline
Null hypothesis (H0) & 4.8 \tabularnewline
Confidence interval & 0.95 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.95 & 4.08398114582379 & 5.57300042302749 \tabularnewline
Left one-sided confidence interval at  0.95 & 4.19241479848094 & +inf \tabularnewline
Right one-sided confidence interval at  0.95 & 0 & 5.44179137186305 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24496&T=1

[TABLE]
[ROW][C]Testing Variance - Confidence Intervals for Sample Variance[/C][/ROW]
[ROW][C]Sample size[/C][C]320[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/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]4.08398114582379[/C][C]5.57300042302749[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.95[/C][C]4.19241479848094[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.95[/C][C]0[/C][C]5.44179137186305[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24496&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24496&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 size320
Null hypothesis (H0)4.8
Confidence interval0.95
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.954.083981145823795.57300042302749
Left one-sided confidence interval at 0.954.19241479848094+inf
Right one-sided confidence interval at 0.9505.44179137186305
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
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')