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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_fitdistrnorm.wasp

Title produced by software

Maximum-likelihood Fitting - Normal Distribution

Date of computation

Fri, 13 Nov 2009 09:05:46 -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/2009/Nov/13/t1258128374lh1llr88jxqdyuu.htm/, Retrieved Tue, 04 Nov 2025 13:13:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=56849, Retrieved Tue, 04 Nov 2025 13:13:10 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

369

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

-     [Maximum-likelihood Fitting - Normal Distribution] [3/11/2009] [2009-11-02 22:18:38] [b98453cac15ba1066b407e146608df68]
-    D  [Maximum-likelihood Fitting - Normal Distribution] [WS 6: Histogram a...] [2009-11-07 16:18:19] [8cf9233b7464ea02e32be3b30fdac052]
-   P     [Maximum-likelihood Fitting - Normal Distribution] [WS 6: Histogram a...] [2009-11-12 17:20:22] [b97b96148b0223bc16666763988dc147]
-   PD        [Maximum-likelihood Fitting - Normal Distribution] [Ws6 fitted normal...] [2009-11-13 16:05:46] [ba02bcb7e07025bbb7f8a074d38ad767] [Current]

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Dataseries X:

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Histogram

Boxplots

16.4
17.8
22.3
22.8
18.3
22.4
23.9
21.3
23.0
21.4
21.2
20.9
17.9
20.7
22.2
19.8
17.7
19.6
20.8
19.8
18.6
21.
18.6
18.9
17.3
20.0
19.9
19.5
16.2
17.6
19.8
19.4
17.2
21.1
17.8
17.5
18.0
19.1
17.7
19.2
15.1
16.3
18.6
17.2
17.8
19.1
16.6
16.0
16.7
17.4
17.9
17.8
13.9
15.9
17.9
15.4
16.4
17.9
15.3
14.6
14.9
15.0
16.7
16.3
11.7
15.1
15.5
15.0
15.4
16.0
14.7
14.8

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56849&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56849&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56849&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 computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Parameter	Estimated Value	Standard Deviation
mean	18.0486111111111	0.290818827609411
standard deviation	2.46767958119204	0.205639965099336

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & 18.0486111111111 & 0.290818827609411 \tabularnewline
standard deviation & 2.46767958119204 & 0.205639965099336 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=56849&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]18.0486111111111[/C][C]0.290818827609411[/C][/ROW]
[ROW][C]standard deviation[/C][C]2.46767958119204[/C][C]0.205639965099336[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=56849&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=56849&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	18.0486111111111	0.290818827609411
standard deviation	2.46767958119204	0.205639965099336

Figure 1

PNG link

Postscript link

PDF link

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')

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Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code