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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

Tue, 22 Oct 2013 04:42:07 -0400

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/2013/Oct/22/t1382431339zhmbgrkufkpr250.htm/, Retrieved Sun, 28 Apr 2024 20:35:19 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=217994, Retrieved Sun, 28 Apr 2024 20:35:19 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

112

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

-     [Maximum-likelihood Fitting - Normal Distribution] [Intrinsic Motivat...] [2010-10-12 11:57:21] [b98453cac15ba1066b407e146608df68]
- R PD    [Maximum-likelihood Fitting - Normal Distribution] [] [2013-10-22 08:42:07] [df6648d3354c48eb8905db6c004499bd] [Current]

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Dataseries X:

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Histogram

Boxplots

4	7	7	6	1	5	7	7	7	7	6	1	7	1	5	7	4	4	1	4	4	7	5	5	5	1	5	5
5	5	6	4	1	4	5	5	5	6	4	1	4	3	5	5	6	3	1	4	5	5	5	6	4	1	4	4
4	6	6	6	2	5	5	6	5	6	2	1	4	4	5	4	5	5	1	5	4	5	4	5	5	2	5	5
6	5	6	2	2	4	5	6	5	6	2	2	4	5	6	5	6	2	2	4	5	6	5	6	2	2	4	5
5	6	7	5	1	6	7	5	6	7	5	1	6	7	5	6	6	5	1	6	7	7	7	7	4	1	5	7
1	6	7	6	1	3	5	6	5	7	4	1	2	5	6	5	6	5	4	2	6	7	6	7	5	2	5	6
4	6	7	3	1	4	3	7	7	6	5	2	6	2	7	7	5	4	1	5	4	7	6	6	4	1	4	7
5	6	6	4	1	4	6	6	5	6	4	1	3	3	6	5	5	3	1	5	3	6	6	6	3	1	4	6
5	4	6	4	1	3	5	6	5	7	4	1	4	3	6	4	7	3	1	3	3	5	6	7	3	1	3	3
6	6	7	3	1	5	3	6	6	7	2	1	5	3	6	6	7	2	1	5	3	6	6	7	1	1	5	2
5	6	6	5	1	6	7	7	6	7	6	1	7	6	6	7	7	6	1	7	7	7	7	7	6	1	7	7
7	3	4	3	1	3	7	7	3	7	2	1	1	5	7	4	6	2	1	2	5	7	3	7	2	1	2	5
6	5	6	1	2	2	6	7	5	7	6	2	4	5	6	6	6	4	2	3	6	6	6	6	4	2	4	6
7	5	7	5	1	4	7	7	5	4	4	4	4	4	7	5	7	5	1	1	6	7	6	6	5	1	6	7
5	2	5	2	1	1	4	5	1	6	1	1	1	2	5	2	5	1	1	2	3	6	2	4	2	1	1	5
7	3	6	3	1	3	7	7	4	7	2	2	2	5	6	5	6	2	1	5	5	7	5	7	4	1	4	6
1	6	5	5	1	6	7	6	6	7	5	1	6	5	2	6	6	6	1	7	5	5	7	5	1	1	5	7
1	6	5	5	1	6	7	6	6	7	5	1	6	5	2	6	6	6	1	7	5	5	7	5	1	1	5	7
7	5	6	1	1	3	3	6	4	6	1	1	3	2	7	5	2	1	1	2	1	7	5	6	2	1	1	2
5	7	6	3	1	4	5	6	5	6	4	1	5	6	4	5	5	4	1	5	6	6	6	7	4	1	5	6
5	5	5	3	1	4	5	5	5	6	5	1	5	4	5	6	6	4	1	5	6	6	6	6	5	1	5	6
4	5	4	5	4	4	5	3	6	4	5	6	4	6	4	5	4	4	3	5	7	1	5	6	6	2	5	6
7	5	6	3	1	3	7	7	3	7	2	1	3	4	7	5	5	1	1	3	7	7	5	5	1	1	3	7
4	5	7	6	1	7	7	6	6	6	4	1	7	5	6	5	7	3	1	5	5	6	6	6	2	1	6	6
7	5	7	3	1	5	6	7	4	7	4	1	5	5	6	5	5	4	1	5	5	7	4	7	4	4	4	5
7	6	5	3	1	5	6	7	5	6	2	1	5	4	6	7	6	2	1	5	5	6	5	6	3	1	5	6
4	5	6	4	2	6	7	6	5	5	3	2	7	6	6	5	5	3	1	6	6	6	5	6	4	1	5	7
6	5	6	2	4	3	6	6	3	5	2	4	2	2	6	3	4	2	4	2	4	6	4	5	3	4	5	6
4	6	6	5	2	4	5	6	5	6	4	2	4	4	6	5	6	4	1	5	4	6	5	7	5	1	4	4
4	4	6	6	2	4	5	6	4	6	4	2	4	3	6	4	4	3	4	4	3	5	6	6	4	1	4	4
6	4	5	3	1	3	3	5	4	7	4	1	4	4	7	6	6	4	1	2	3	5	5	5	3	1	2	3
7	6	6	3	2	5	7	7	5	6	5	1	5	5	7	5	6	4	1	5	7	7	6	7	4	1	5	7
1	3	5	2	1	3	6	4	4	6	4	1	4	2	2	4	5	2	1	2	4	3	5	7	2	1	2	4
4	6	6	2	1	5	5	5	2	5	2	2	5	6	6	5	5	2	1	5	5	6	5	6	4	1	5	5
5	5	6	4	1	4	5	6	4	6	3	1	5	5	5	5	6	3	1	5	5	5	6	6	4	1	5	5
5	6	7	4	1	5	7	7	6	7	2	1	5	1	6	6	6	2	1	5	2	6	6	5	2	1	2	4
5	7	4	2	1	4	6	7	6	6	2	1	4	2	6	5	3	1	1	5	5	7	6	4	4	1	5	7
5	4	4	3	3	4	6	6	4	6	3	1	5	5	6	5	5	3	1	5	6	6	5	5	3	1	3	5
6	5	5	4	1	7	7	6	6	7	4	1	7	5	4	5	5	4	1	7	4	5	5	6	4	1	6	4
4	4	6	4	4	5	5	4	5	5	5	4	5	5	4	4	5	4	5	4	4	5	4	4	5	5	5	4
5	5	6	5	1	4	6	7	6	6	4	1	5	6	7	5	6	4	1	5	6	6	6	6	5	1	5	6
2	3	6	3	1	2	5	7	3	6	2	2	3	5	7	5	6	2	1	2	5	7	5	6	2	1	4	5
7	5	7	4	1	7	5	7	5	7	4	1	5	4	7	5	7	5	1	5	5	7	6	7	6	1	5	5
6	6	6	6	1	6	6	5	6	6	6	3	5	5	3	6	7	5	3	5	6	5	6	6	6	3	4	6
6	6	7	6	1	6	7	7	6	6	6	2	6	6	6	6	6	5	1	6	7	7	6	6	5	1	6	6
3	4	5	2	2	4	6	5	4	4	4	2	4	6	5	4	4	4	2	4	5	5	4	5	4	2	4	5
3	4	4	2	2	4	5	5	4	4	4	2	4	5	5	4	4	4	2	4	5	5	4	5	4	2	4	5
5	6	6	5	1	3	6	6	2	6	2	1	3	3	5	5	5	2	2	3	2	5	5	5	3	1	2	2
5	5	7	3	1	5	7	6	3	6	2	1	5	3	5	6	5	3	1	5	6	6	6	7	4	1	5	6
6	6	6	4	1	4	7	7	5	6	4	2	6	5	7	6	7	4	1	5	5	7	7	7	4	1	5	5
5	4	5	2	4	2	5	5	4	4	3	3	4	5	5	4	5	3	4	3	5	7	5	5	3	3	3	5
7	4	7	4	3	3	3	7	5	7	4	2	2	1	7	6	7	4	2	2	1	7	4	4	2	1	1	1
6	5	6	4	2	5	6	6	5	6	3	2	6	4	7	5	3	3	2	5	5	7	5	6	3	2	5	6
1	3	2	2	1	5	6	5	4	2	2	1	3	4	2	4	4	2	1	5	5	2	4	5	3	1	5	5
5	6	7	3	1	3	6	7	4	6	3	3	3	5	4	6	7	3	1	5	5	6	6	5	4	1	5	7
1	6	7	6	1	3	6	7	6	6	5	1	5	5	7	6	7	4	1	5	3	6	5	6	4	1	5	6
6	4	7	4	2	5	6	6	4	6	3	1	5	6	6	4	6	3	2	5	6	6	4	6	3	2	5	6
4	5	7	4	1	5	7	7	4	7	3	1	5	5	7	5	7	3	1	5	5	7	5	4	3	4	5	5
5	5	5	3	2	4	6	5	3	6	3	1	4	3	5	5	5	4	1	4	4	5	6	5	4	2	5	5
5	4	5	2	1	4	6	6	5	7	3	1	2	5	5	6	6	3	1	5	6	7	6	6	3	1	4	6
6	6	5	3	2	4	5	6	6	5	5	2	4	5	6	6	5	5	2	4	6	6	6	6	5	2	5	5
6	5	6	3	1	5	6	6	5	6	6	1	6	6	6	6	6	5	1	6	6	6	6	7	5	1	6	6
5	4	5	4	2	6	6	5	4	5	4	3	4	5	5	5	5	3	3	5	5	5	5	5	4	2	4	5
2	6	5	5	1	4	6	7	6	6	4	2	4	4	5	5	5	4	2	5	4	6	7	7	6	1	4	6
7	5	7	5	1	4	4	7	5	7	4	1	4	2	6	7	7	1	1	3	4	7	7	7	5	1	1	1
5	6	6	4	1	6	6	6	5	6	3	1	6	3	6	6	6	5	1	6	6	6	5	5	5	1	6	7
5	5	7	4	1	4	7	7	4	7	1	1	4	6	7	7	7	2	1	4	7	7	7	7	1	1	6	7
2	6	6	3	1	3	7	7	4	6	2	2	5	6	7	6	6	3	1	6	6	7	6	6	2	1	6	6
3	5	5	4	1	3	5	4	5	5	3	1	3	6	5	5	4	2	1	5	3	5	5	4	3	1	5	4
5	4	5	4	2	5	5	5	5	5	2	2	5	5	5	4	5	3	1	5	5	6	5	5	3	1	5	5
5	6	7	5	1	5	7	7	6	7	5	1	6	6	6	6	7	5	1	6	5	7	7	7	5	1	5	6
6	5	5	5	2	4	7	7	3	6	2	2	5	6	7	3	6	2	2	3	7	7	5	4	3	1	4	7
6	5	7	3	2	5	5	6	5	7	4	4	4	5	5	5	5	3	1	4	5	7	5	6	4	1	4	6
6	3	3	1	2	3	5	7	4	6	3	1	3	5	7	5	4	3	4	4	2	7	3	5	3	1	2	6
3	5	7	5	2	3	3	4	4	4	4	4	4	4	7	5	5	5	2	2	3	7	5	5	4	2	5	5
6	4	5	5	2	5	6	6	5	6	3	2	6	6	6	5	5	4	3	6	6	6	5	6	6	1	6	6
4	5	6	3	2	3	5	6	2	5	1	1	4	5	6	5	6	1	1	3	6	5	4	7	2	1	5	6
3	5	4	4	4	4	4	3	5	4	5	3	5	4	4	3	4	4	3	4	3	5	4	3	5	2	4	3
4	7	7	4	1	7	7	7	7	7	1	1	7	7	7	7	7	1	1	7	7	7	7	7	3	1	7	7
4	7	5	5	1	5	7	7	6	6	5	1	6	6	5	6	6	6	1	6	7	6	6	6	6	1	6	6
6	5	7	3	1	2	2	6	5	7	3	2	2	6	6	4	6	3	1	7	4	6	6	6	2	2	2	5
5	4	5	4	3	6	6	6	3	5	3	2	3	3	6	4	5	4	1	5	4	6	5	5	4	1	5	5
5	6	6	4	2	3	4	6	5	5	4	3	3	1	6	6	5	3	1	4	3	6	6	6	3	2	3	3
1	5	7	3	5	5	7	7	6	7	4	3	5	5	7	5	5	2	2	7	7	7	5	7	5	1	5	7
4	5	6	5	2	6	6	7	6	5	5	2	5	6	5	6	6	5	2	5	5	6	6	6	5	2	4	6
6	4	6	2	1	4	2	6	4	5	3	2	2	5	5	5	5	2	1	2	4	7	5	5	1	2	2	4
7	5	7	4	2	3	7	7	5	7	5	2	5	4	5	5	6	4	1	5	5	5	5	6	4	2	4	6
6	2	7	3	1	3	7	7	3	4	2	2	5	5	7	2	6	2	1	3	7	5	2	6	2	1	7	7
6	7	7	5	1	5	5	7	5	7	6	5	6	3	6	6	6	4	1	6	6	7	7	7	7	1	6	6
5	4	5	3	1	5	6	6	6	5	2	1	5	3	5	5	4	2	1	3	4	5	5	5	3	1	4	5
6	5	6	5	1	5	5	7	5	7	4	2	4	4	6	5	5	2	1	5	5	7	6	4	1	1	5	5
7	5	7	5	1	4	6	7	5	7	3	2	6	5	7	6	5	2	2	2	6	7	6	6	2	1	6	6
4	7	6	3	1	7	7	5	6	7	7	1	6	3	4	7	6	5	1	5	7	5	7	6	5	1	4	7
2	2	6	4	2	2	6	6	4	7	4	2	4	6	6	6	6	4	1	4	6	6	6	6	6	1	6	5
7	4	4	4	4	4	7	7	4	7	4	4	4	7	4	4	4	4	4	4	6	7	4	4	4	4	4	7
5	6	7	3	1	3	6	7	4	6	3	3	3	5	4	6	7	3	1	5	5	6	6	5	4	1	5	7
4	5	6	2	1	4	5	6	5	6	5	1	4	4	6	6	4	4	2	4	3	5	4	6	6	2	4	6
4	5	5	4	1	4	5	6	5	5	5	1	4	1	3	5	5	4	1	5	5	5	5	5	4	1	5	5

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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=217994&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=217994&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=217994&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	'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code