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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_fitdistrnorm.wasp
Title produced by softwareMaximum-likelihood Fitting - Normal Distribution
Date of computationWed, 12 Nov 2008 13:17:58 -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/12/t1226521165e4i856olm1hvv8y.htm/, Retrieved Sun, 19 May 2024 10:46:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24428, Retrieved Sun, 19 May 2024 10:46:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact203

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Box-Cox Linearity Plot] [Box-Cox] [2008-11-11 14:29:04] [adb6b6905cde49db36d59ca44433140d]
- RM D  [Box-Cox Normality Plot] [Box-Cox Normality...] [2008-11-11 14:44:37] [adb6b6905cde49db36d59ca44433140d]
F    D    [Box-Cox Normality Plot] [Box-Cox Normality...] [2008-11-11 23:46:30] [b591abfa820a394aeb0c5ebd9cfa1091]
F RMPD      [Maximum-likelihood Fitting - Normal Distribution] [Normal Distribution ] [2008-11-12 15:48:53] [b478325fa744e3f2fc16a7222294469c]
F   PD          [Maximum-likelihood Fitting - Normal Distribution] [task 8 maximum li...] [2008-11-12 20:17:58] [0458bd763b171003ec052ce63099d477] [Current]
- RMPD            [Univariate Data Series] [Paper 4.2.1] [2008-12-18 18:27:01] [1eab65e90adf64584b8e6f0da23ff414]
- RMPD            [Histogram] [4.2.1] [2008-12-18 18:38:08] [1eab65e90adf64584b8e6f0da23ff414]
-   PD            [Maximum-likelihood Fitting - Normal Distribution] [4.2.1] [2008-12-18 18:48:23] [1eab65e90adf64584b8e6f0da23ff414]
- RMPD            [Box-Cox Normality Plot] [4.2.1] [2008-12-18 18:51:19] [1eab65e90adf64584b8e6f0da23ff414]
- RMP               [Standard Deviation-Mean Plot] [4.2.2] [2008-12-19 10:25:45] [1eab65e90adf64584b8e6f0da23ff414]
- RMP               [Variance Reduction Matrix] [4.2.2 variantie rdm] [2008-12-19 10:48:41] [1eab65e90adf64584b8e6f0da23ff414]
- RMP               [(Partial) Autocorrelation Function] [4.2.2] [2008-12-19 10:57:29] [1eab65e90adf64584b8e6f0da23ff414]
-   P                 [(Partial) Autocorrelation Function] [4.2.2 D1] [2008-12-19 14:00:41] [1eab65e90adf64584b8e6f0da23ff414]
- RMP                 [Spectral Analysis] [4.2.2 spect] [2008-12-19 14:09:27] [1eab65e90adf64584b8e6f0da23ff414]
- RMP                 [Spectral Analysis] [4.2.2 spec 1] [2008-12-19 14:13:18] [1eab65e90adf64584b8e6f0da23ff414]
- RMP                 [ARIMA Backward Selection] [4.3] [2008-12-19 14:24:21] [1eab65e90adf64584b8e6f0da23ff414]
- RMP                   [(Partial) Autocorrelation Function] [4.2.2] [2008-12-19 17:44:20] [1eab65e90adf64584b8e6f0da23ff414]
- RMP                   [(Partial) Autocorrelation Function] [4.2.2 cor] [2008-12-19 17:50:05] [1eab65e90adf64584b8e6f0da23ff414]
- RMP                   [ARIMA Forecasting] [4.3] [2008-12-19 18:01:56] [1eab65e90adf64584b8e6f0da23ff414]
-   PD                [(Partial) Autocorrelation Function] [4.2.2 pacf] [2008-12-19 16:27:58] [1eab65e90adf64584b8e6f0da23ff414]
Feedback Forum
2008-11-23 15:09:37 [Nathalie Daneels] [reply] 
Evaluatie opdracht 3 - Blok 8 (Q5)

De student zou ook de tabel met de geschatte standaarddeviatie en het geschatte gemiddelde bij deze opdracht moeten zetten.
Wat de student concludeert is correct, maar de conclusie zou nog aangevuld kunnen worden:

De software maakt een schatting van het gemiddelde en de standaardfout die het best past bij de verdeling van de gegevens. In de grafiek zie je dan ook de geschatte normaalverdeling die het dichtst bij het histogram aanleunt.
Bij de tabel moeten we enkel kijken naar de estimated value van de mean en de standard deviation.
De tweede kolom geeft eigenlijk de standaarddeviatie van het geschatte gemiddelde en de standaarddeviatie van de geschatte standaarddeviatie, maar dit wordt hier verder buiten beschouwing gelaten.
Uit de tabel kunnen we het geschatte gemiddelde (103,54) en standaarddeviatie (7,76) afleiden. De lijn, die op de grafiek is getekend, vormt de geschatte normaalverdeling die het dichtst bij het histogram aanleunt. Bij een normaalverdeling bevindt het gemiddelde zich meestal in het midden van het histogram, wat we bij deze figuur ook min of meer kunnen beamen.
2008-11-24 12:56:49 [Anouk Greeve] [reply] 
Goede bewerking en een juiste interpretatie.
2008-11-24 18:42:47 [Jan De Vleeschauwer] [reply] 
juiste methode en juiste conclusie

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
90,7
94,3
104,6
111,1
110,8
107,2
99
99
91
96,2
96,9
96,2
100,1
99
115,4
106,9
107,1
99,3
99,2
108,3
105,6
99,5
107,4
93,1
88,1
110,7
113,1
99,6
93,6
98,6
99,6
114,3
107,8
101,2
112,5
100,5
93,9
116,2
112
106,4
95,7
96
95,8
103
102,2
98,4
111,4
86,6
91,3
107,9
101,8
104,4
93,4
100,1
98,5
112,9
101,4
107,1
110,8
90,3
95,5
111,4
113
107,5
95,9
106,3
105,2
117,2
106,9
108,2
113
97,2
99,9
108,1
118,1
109,1
93,3
112,1
111,8
112,5
116,3
110,3
117,1
103,4
96,2

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24428&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24428&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24428&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'Gwilym Jenkins' @ 72.249.127.135






ParameterEstimated ValueStandard Deviation
mean103.5352941176470.842110885173045
standard deviation7.763878743823150.595462317416866

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & 103.535294117647 & 0.842110885173045 \tabularnewline
standard deviation & 7.76387874382315 & 0.595462317416866 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24428&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]103.535294117647[/C][C]0.842110885173045[/C][/ROW]
[ROW][C]standard deviation[/C][C]7.76387874382315[/C][C]0.595462317416866[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24428&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24428&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:

ParameterEstimated ValueStandard Deviation
mean103.5352941176470.842110885173045
standard deviation7.763878743823150.595462317416866


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 8 ; par2 = 0 ;
R code (references can be found in the software module):
library(MASS)
par1 <- as.numeric(par1)
if (par2 == '0') par2 = 'Sturges' else par2 <- as.numeric(par2)
x <- as.ts(x) #otherwise the fitdistr function does not work properly
r <- fitdistr(x,'normal')
r
bitmap(file='test1.png')
myhist<-hist(x,col=par1,breaks=par2,main=main,ylab=ylab,xlab=xlab,freq=F)
curve(1/(r$estimate[2]*sqrt(2*pi))*exp(-1/2*((x-r$estimate[1])/r$estimate[2])^2),min(x),max(x),add=T)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Parameter',1,TRUE)
a<-table.element(a,'Estimated Value',1,TRUE)
a<-table.element(a,'Standard Deviation',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
a<-table.element(a,r$estimate[1])
a<-table.element(a,r$sd[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'standard deviation',header=TRUE)
a<-table.element(a,r$estimate[2])
a<-table.element(a,r$sd[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')