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Author's title

Author

*Unverified author*

R Software Module

rwasp_fitdistrnorm.wasp

Title produced by software

Maximum-likelihood Fitting - Normal Distribution

Date of computation

Sun, 06 Jan 2008 13:15:24 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Jan/06/t1199650494yl1i6wm4ohmo5ep.htm/, Retrieved Wed, 11 Feb 2026 01:57:51 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7883, Retrieved Wed, 11 Feb 2026 01:57:51 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Various EDA topics Q5 TI

Estimated Impact

462

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Central Tendency] [WS2 - Robustness ...] [2007-10-20 13:06:37] [5343e105a400b9e32bf6f011133bbaf4]
- RM D    [Maximum-likelihood Fitting - Normal Distribution] [CVWS5TIQ5] [2008-01-06 20:15:24] [b523c8d839cc24a05ea912c062a47207] [Current]

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Dataseries X:

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Histogram

Boxplots

-12.7
-2.4
7.1
-3.9
9.5
5
-16.1
-10.8
7
13.6
8.1
-8.1
4.9
-0.8
4.3
4
1.5
5.4
-11.3
-16.4
-2
8.9
-7.2
-18
1.3
6.3
-6
2.8
2
5.1
-7.6
-18.6
5.8
20.3
0.7
-11.2
-5.7
-0.1
3.4
3.3
-1.2
4.2
-8.8
-25.3
8.5
14.5
-3.1
-10.4
-2.9
0.3
22.6
15.4
9
29.1
2.8
-3.8
27.7
28.9
26.5
19.8
13.2
14.1
34.1
30
21.8
32.1
5.3
3
17.1
26.3
38.1
19.5
38
35.5
78.6
62.2
76.9
104.9
32.2
42.5
64.3
74.9
75.4
43
58.7
55.4
76.6
63.3
78.9
82.7

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7883&T=0

[TABLE]
[ROW][C]Summary of compuational 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]3 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=7883&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7883&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Parameter	Estimated Value	Standard Deviation
mean	16.9311111111111	2.91780597618787
standard deviation	27.6807379656141	2.06320039194908

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & 16.9311111111111 & 2.91780597618787 \tabularnewline
standard deviation & 27.6807379656141 & 2.06320039194908 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7883&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]16.9311111111111[/C][C]2.91780597618787[/C][/ROW]
[ROW][C]standard deviation[/C][C]27.6807379656141[/C][C]2.06320039194908[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7883&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7883&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Parameter	Estimated Value	Standard Deviation
mean	16.9311111111111	2.91780597618787
standard deviation	27.6807379656141	2.06320039194908

Figure 1

PNG link

Postscript link

PDF link

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')

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Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code