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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 computationThu, 13 Nov 2008 03:44:33 -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/t12265731365z9nj4qbr9qv7n6.htm/, Retrieved Sun, 19 May 2024 10:42:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=24559, Retrieved Sun, 19 May 2024 10:42:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsNormal ML Fit
Estimated Impact182

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Maximum-likelihood Fitting - Normal Distribution] [workshop 2 Q5 Nor...] [2008-11-13 10:44:33] [74c7506a1ea162af3aa8be25bcd05d28] [Current]
F R  D    [Maximum-likelihood Fitting - Normal Distribution] [Normal distribution] [2008-11-13 19:18:39] [3ffd109c9e040b1ae7e5dbe576d4698c]
- RMPD      [Notched Boxplots] [notched boxplot] [2008-12-10 18:45:46] [3ffd109c9e040b1ae7e5dbe576d4698c]
-             [Notched Boxplots] [Notched Boxplot] [2008-12-17 09:34:11] [3ffd109c9e040b1ae7e5dbe576d4698c]
-    D          [Notched Boxplots] [notched boxplot] [2008-12-20 11:57:36] [3ffd109c9e040b1ae7e5dbe576d4698c]
-    D            [Notched Boxplots] [notched boxplot] [2008-12-20 11:59:33] [3ffd109c9e040b1ae7e5dbe576d4698c]
-    D              [Notched Boxplots] [notched boxplot] [2008-12-20 12:02:04] [3ffd109c9e040b1ae7e5dbe576d4698c]
-               [Notched Boxplots] [notched boxplots] [2008-12-24 11:50:45] [3f66c6f083b1153972739491b89fa2dd]
- RMPD      [Mean Plot] [mean plot] [2008-12-10 18:47:53] [3ffd109c9e040b1ae7e5dbe576d4698c]
-             [Mean Plot] [mean plot] [2008-12-18 18:13:03] [3ffd109c9e040b1ae7e5dbe576d4698c]
-               [Mean Plot] [Mean plot] [2008-12-24 11:53:26] [3f66c6f083b1153972739491b89fa2dd]
Feedback Forum
2008-11-15 12:01:34 [58d427c57bd46519a715a3a7fea6a80f] [reply] 
theorie: De Maximum-likelihood estimation (maximum waarschijnlijkheidsschatting) begint met de wiskundige uitdrukking, gekend als een waarschijnlijkheidsfunctie van de steekproefgegevens. Globaal gezien is de waarschijnlijkheid van een reeks gegevens, de kans/waarschijnlijkheid dat je juist die reeks van gegevens verkrijgt, gezien het gekozen waarschijnlijkheidsmodel. Deze uitdrukking bevat de onbekende parameters. Die waarden van de parameter, die de steekproefwaarschijnlijkheid maximaliseren, zijn gekend als de maximum likelihood estimates (de maximum waarschijnlijkheidschattingen).
2008-11-24 12:11:42 [Julian De Ruyter] [reply] 
mean 7.96065573770492
standard deviation 0.740021862442799
Hoewel dit gemiddelde zeer dicht bij het gemiddelde van een perfecte normaalverdeling ligt (7.75) zijn de gegevens niet normaal verdeeld omdat de top duidelijk teveel naar rechts ligt..

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8,4
8,4
8,4
8,6
8,9
8,8
8,3
7,5
7,2
7,5
8,8
9,3
9,3
8,7
8,2
8,3
8,5
8,6
8,6
8,2
8,1
8
8,6
8,7
8,8
8,5
8,4
8,5
8,7
8,7
8,6
8,5
8,3
8,1
8,2
8,1
8,1
7,9
7,9
7,9
8
8
7,9
8
7,7
7,2
7,5
7,3
7
7
7
7,2
7,3
7,1
6,8
6,6
6,2
6,2
6,8
6,9
6,8

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=24559&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=24559&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24559&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






ParameterEstimated ValueStandard Deviation
mean7.960655737704920.0947500903493067
standard deviation0.7400218624427990.0669984314040328

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & 7.96065573770492 & 0.0947500903493067 \tabularnewline
standard deviation & 0.740021862442799 & 0.0669984314040328 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=24559&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]7.96065573770492[/C][C]0.0947500903493067[/C][/ROW]
[ROW][C]standard deviation[/C][C]0.740021862442799[/C][C]0.0669984314040328[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=24559&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=24559&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
mean7.960655737704920.0947500903493067
standard deviation0.7400218624427990.0669984314040328


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 8 ; par2 = 0 ;
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')