FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_hypothesismean3.wasp
Title produced by softwareTesting Mean with known Variance - Type II Error
Date of computationThu, 13 Nov 2008 06:23:30 -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/t12265826987gktnydkbz9wc90.htm/, Retrieved Mon, 20 May 2024 09:15:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24603, Retrieved Mon, 20 May 2024 09:15:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact152

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 - Type II Error] [type II error] [2008-11-13 13:23:30] [628d1df75cd8f2f5ef9dafa62752b4fe] [Current]
Feedback Forum
2008-11-15 16:16:56 [Philip Van Herck] [reply] 
Ook hier weer dezelfde opmerking omtrent de foute input. De juiste oplossing is: Het is inderdaad zo dat we er vanuit kunnen gaan dat de getuigenis van de werknemer correct is. De type II error geeft aan dat er 94% kans is dat de fraude van de leverancier niet kan worden gedetecteerd, met als gevolg dat er slechts een pakkans van 6% is. De verleiding voor de leverancier om te frauderen is dus zeer groot.
2008-11-17 13:56:24 [Stef Vermeiren] [reply] 
http://www.freestatistics.org/blog/index.php?v=date/2008/Nov/13/t1226571334c9eh0kttx1okj7g.htm

Net zoals bij de vorige vragen foute gegevens ingevoerd. Hierbij een link met de juiste oplossing.

Om deze vraag op te lossen moeten we op zoek gaan naar de type 2-error. Met andere woorden, de kans dat het niet ontdekt wordt wanneer er een hoger vetpercentage gebruikt wordt (meer dan 15%).
In dit geval is er ongeveer 94% kans dat de fraude niet ontdekt wordt.
2008-11-23 16:03:09 [Gilliam Schoorel] [reply] 
Terug dezelfde opmerking als bij de vorige bewerkingen. Je moet je hiervoor baseren op de type II error. We kunnen zien dat de type 2 error ongeveer 94% is, dit betekend dat er maar 6% (pak)kans is dat de fraude toch ontdekt wordt. Dit maakt het heel aantrekkelijk voor de fabrikant, want hij loopt nauwelijks risico om gepakt te worden.
2008-11-24 10:58:38 [Sofie Sergoynne] [reply] 
ook hier heeft de student de foute output weergegeven... dit komt doordat hij 15% en 15.46% verkeerd heeft ingegeven. er treedt wel een type 2 fout op. Deze kans is 93%... ( dit bekom je als je de juiste waardes ingeeft). Dit betekent dat we een grote kans hebben dat we schuldigen toch doorlaten en dat we dus tegen hen geen klacht indienen. De fraude door de leverancier wordt dus niet ontdekt in 94% van de gevallen. de pakkans bedraagt dus maar 6% en is de verleiding bij de leveranciers om te frauderen zeer groot.

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 time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24603&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24603&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24603&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'Gwilym Jenkins' @ 72.249.127.135






Testing Mean with known Variance
sample size27
population variance0.012
sample mean15.46
null hypothesis about mean15
type I error0.05
alternative hypothesis about mean15.2
Type II Error2.21749649744454e-15

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
sample size & 27 \tabularnewline
population variance & 0.012 \tabularnewline
sample mean & 15.46 \tabularnewline
null hypothesis about mean & 15 \tabularnewline
type I error & 0.05 \tabularnewline
alternative hypothesis about mean & 15.2 \tabularnewline
Type II Error & 2.21749649744454e-15 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24603&T=1

[TABLE]
[ROW][C]Testing Mean with known Variance[/C][/ROW]
[ROW][C]sample size[/C][C]27[/C][/ROW]
[ROW][C]population variance[/C][C]0.012[/C][/ROW]
[ROW][C]sample mean[/C][C]15.46[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]15[/C][/ROW]
[ROW][C]type I error[/C][C]0.05[/C][/ROW]
[ROW][C]alternative hypothesis about mean[/C][C]15.2[/C][/ROW]
[ROW][C]Type II Error[/C][C]2.21749649744454e-15[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24603&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24603&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 Mean with known Variance
sample size27
population variance0.012
sample mean15.46
null hypothesis about mean15
type I error0.05
alternative hypothesis about mean15.2
Type II Error2.21749649744454e-15


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 27 ; par2 = 0.012 ; par3 = 15.46 ; par4 = 15 ; par5 = 0.05 ; par6 = 15.2 ;
Parameters (R input):
par1 = 27 ; par2 = 0.012 ; par3 = 15.46 ; par4 = 15 ; par5 = 0.05 ; par6 = 15.2 ;
R code (references can be found in the software module):
par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
par4<-as.numeric(par4)
par5<-as.numeric(par5)
par6<-as.numeric(par6)
c <- 'NA'
csn <- abs(qnorm(par5))
if (par3 == par4)
{
conclusion <- 'Error: the null hypothesis and sample mean must not be equal.'
}
if (par3 > par4)
{
c <- par4 + csn * sqrt(par2) / sqrt(par1)
}
if (par3 < par4)
{
c <- par4 - csn * sqrt(par2) / sqrt(par1)
}
p <- pnorm((c - par6) / (sqrt(par2/par1)))
p
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm','Testing Mean with known Variance','learn more about Statistical Hypothesis Testing about the Mean when the Variance is known'),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'sample size',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'population variance',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'sample mean',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'null hypothesis about mean',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'type I error',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alternative hypothesis about mean',header=TRUE)
a<-table.element(a,par6)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_mean_knownvar.htm#ex3','Type II Error','example'),header=TRUE)
a<-table.element(a,p)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')