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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 computationThu, 13 Nov 2008 07:42:18 -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/t1226587481uk0ndyed4ys246w.htm/, Retrieved Sun, 19 May 2024 10:52:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24631, Retrieved Sun, 19 May 2024 10:52:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Box-Cox Linearity Plot] [question 3 box-co...] [2008-11-12 15:13:33] [31c9f333c18b3396ccf9d2485dd39c8a]
F RMPD  [Maximum-likelihood Fitting - Normal Distribution] [question 5] [2008-11-12 15:49:20] [31c9f333c18b3396ccf9d2485dd39c8a]
F RMPD      [Testing Mean with known Variance - Type II Error] [question 2] [2008-11-13 14:42:18] [490fee4f334e2e025c95681783e3fd0b] [Current]
Feedback Forum
2008-11-22 15:05:25 [6066575aa30c0611e452e930b1dff53d] [reply] 
Ook hier is zijn output produced by software verkeerd. De variantie van de populatie moet gelijk zijn aan 0.012. De sample mean moet gelijk zijn aan 0.01546. De nulhypothese moet gelijk zijn aan 0.15. Hierdoor krijg je een andere output. Bovendien had hij deze tabel moeten gebruiken om Q3 te beantwoorden.Verder is de conclusie bij deze vraag ook fout. We maken hier gebruik van one-tailed omdat enkel te veel vet relevant is (strong suspicion). Verder kunnen we besluiten dat we 41% kans hebben dan we ons vergissen met het verwerpen van de nulhypothese. Het verschil tussen 15 en 15,46 is dus te wijten aan het toeval. We dienen hier dus geen klacht in.
2008-11-22 18:55:02 [c00776cbed2786c9c4960950021bd861] [reply] 
Er werd een verkeerde methode gebruikt om die kans te berekenen.
sample size 27
population variance 0.012
sample mean 0.1546
null hypothesis about mean 0.15
type I error 0.05
Z-value 0.218197158551618
p-value (one-tailed) 0.413637749448374
p-value (two-tailed) 0.827275498896748
conclusion for one-tailed test
Do not reject the null hypothesis.
conclusion for two-tailed test
Do not reject the null hypothesis
-> dit is de tabel die je moest bekomen.
De leverancier kan enkel te veel vet leveren --> we maken gebruik van een 1-zijdige p-waarde (0.41). Er is dus 41% kans dat we ons vergissen.
De verleiding voor de leverancier om te frauderen is dus groot.
2008-11-24 15:40:45 [4679c4d03f1d346a85e79d87ba60ec2b] [reply] 
Bij deze vraag is opnieuw dezelfde fout gemaakt bij het invoeren van de gegevens in de calculator. Opnieuw popultation variance, sample mean, nulhypothese verkeerd ingegeven. Ook is de gebruikte methode fout, hier zou je testing mean with known variance p-value moeten gebruiken. Dit op te kijken wat de kans is dat je je vergist. De kans dat je je hier vegist is behoorlijk groot, 41%, en duidelijk groter dan de alfa fout. Je kunt er dus vanuit gaan dat dit toeval is.

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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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24631&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24631&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24631&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Testing Mean with known Variance
sample size27
population variance1.2
sample mean15.47
null hypothesis about mean15
type I error0.05
alternative hypothesis about mean15.36
Type II Error0.474972315450235

\begin{tabular}{lllllllll}
\hline
Testing Mean with known Variance \tabularnewline
sample size & 27 \tabularnewline
population variance & 1.2 \tabularnewline
sample mean & 15.47 \tabularnewline
null hypothesis about mean & 15 \tabularnewline
type I error & 0.05 \tabularnewline
alternative hypothesis about mean & 15.36 \tabularnewline
Type II Error & 0.474972315450235 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24631&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]1.2[/C][/ROW]
[ROW][C]sample mean[/C][C]15.47[/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]15.36[/C][/ROW]
[ROW][C]Type II Error[/C][C]0.474972315450235[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24631&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24631&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 variance1.2
sample mean15.47
null hypothesis about mean15
type I error0.05
alternative hypothesis about mean15.36
Type II Error0.474972315450235


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 27 ; par2 = 1.2 ; par3 = 15.47 ; par4 = 15 ; par5 = 0.05 ; par6 = 15.36 ;
Parameters (R input):
par1 = 27 ; par2 = 1.2 ; par3 = 15.47 ; par4 = 15 ; par5 = 0.05 ; par6 = 15.36 ;
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')