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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismean3.wasp
Title produced by softwareTesting Mean with known Variance - Type II Error
Date of computationMon, 10 Nov 2008 03:06:41 -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/10/t1226311703bx7ahy96k0310kq.htm/, Retrieved Sun, 19 May 2024 06:59:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=22902, Retrieved Sun, 19 May 2024 06:59:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact187

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 Por...] [2008-11-10 10:06:41] [270782e2502ae87124d0ebdcd1862d6a] [Current]
Feedback Forum
2008-11-19 15:05:51 [] [reply] 
De student heeft deze vraag niet correct beantwoor. Hij heeft om te beginnen de verkeerde berekeningsmethode gebruikt. Hij had gebruik moeten maken van Testing Mean with known Variance - p-value. Daaruit konden we concluderen dat de type I error de waarschijnlijkheid is dat je iemand foutief beschuldigt. De p- waarde staat dus gelijk met de werkelijke kans dat u zich vergist wanneer je een klacht indient, deze is 41%. Er is dus 41% kans dat wanneer je jouw leverancier beschuldigd, deze beschuldiging foutief is. Je stelt dus geen advocaat in.
2008-11-19 16:04:27 [Nathalie Koulouris] [reply] 
De student heeft deze vraag niet correct beantwoor. Hij heeft om te beginnen de verkeerde berekeningsmethode gebruikt. Hij had gebruik moeten maken van Testing Mean with known Variance - p-value. Daaruit konden we concluderen dat de type I error de waarschijnlijkheid is dat je iemand foutief beschuldigt. De p- waarde staat dus gelijk met de werkelijke kans dat u zich vergist wanneer je een klacht indient, deze is 41%. Er is dus 41% kans dat wanneer je jouw leverancier beschuldigd, deze beschuldiging foutief is. Je stelt dus geen advocaat in.
2008-11-22 21:47:17 [Kenny Simons] [reply] 
Hier is de student in de fout gegaan. De student heeft de verkeerde berekeningstechniek gebruikt. De student had deze techniek moeten gebruiken: Testing mean with known variance – p-value.

Voor dit probleem moet je een éénzijdige toets gebruiken, omdat we vermoeden dat er 'gefoefeld' wordt in 1 richting. We hebben een p-waarde berekend van 41%, dit wil zeggen dat er 41%kans is dat de manager zich vergist, deze kans is toch wel vrij groot, dus dienen we geen klacht in.

Hieronder vind je een link met de juiste berekeningen:
http://www.freestatistics.org/blog/index.php?v=date/2008/Nov/11/t1226428678mhy8dxmg2bcy38a.htm
2008-11-23 16:57:04 [Chi-Kwong Man] [reply] 
Verkeerde methode gehanteerd, het had Testing Mean with known Variance - p-value moeten zijn. Hierdoor bekomt men uiteraard ook een verkeerde conclusie.
2008-11-24 09:07:46 [Wim Golsteyn] [reply] 
Ik had hier al een sterk vermoeden dat er iets niet klopte toen ik aan de opdracht bezig was (Ik heb het studentenvoorbeeld niet bekeken). Ik moest hier dus inderdaad de p-value berekenen ipv de type II fout.

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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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22902&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22902&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22902&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'George Udny Yule' @ 72.249.76.132






Testing Mean with known Variance
sample size27
population variance0.012
sample mean0.1546
null hypothesis about mean0.15
type I error0.05
alternative hypothesis about mean0.1847
Type II Error0.499556418098242

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
sample size & 27 \tabularnewline
population variance & 0.012 \tabularnewline
sample mean & 0.1546 \tabularnewline
null hypothesis about mean & 0.15 \tabularnewline
type I error & 0.05 \tabularnewline
alternative hypothesis about mean & 0.1847 \tabularnewline
Type II Error & 0.499556418098242 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22902&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]0.1546[/C][/ROW]
[ROW][C]null hypothesis about mean[/C][C]0.15[/C][/ROW]
[ROW][C]type I error[/C][C]0.05[/C][/ROW]
[ROW][C]alternative hypothesis about mean[/C][C]0.1847[/C][/ROW]
[ROW][C]Type II Error[/C][C]0.499556418098242[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22902&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22902&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 mean0.1546
null hypothesis about mean0.15
type I error0.05
alternative hypothesis about mean0.1847
Type II Error0.499556418098242


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 27 ; par2 = 0.012 ; par3 = 0.1546 ; par4 = 0.15 ; par5 = 0.05 ; par6 = 0.1847 ;
Parameters (R input):
par1 = 27 ; par2 = 0.012 ; par3 = 0.1546 ; par4 = 0.15 ; par5 = 0.05 ; par6 = 0.1847 ;
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')