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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, 01 Dec 2010 20:08:17 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/01/t1291234048wr0s0x835mvzck2.htm/, Retrieved Sat, 04 May 2024 23:42:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104177, Retrieved Sat, 04 May 2024 23:42:47 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139
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]
-   PD    [Maximum-likelihood Fitting - Normal Distribution] [Paper: Histrogram...] [2010-12-01 20:08:17] [380f6bceef280be3d93cc6fafd18141e] [Current]
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Dataseries X:
24
25
17
18
18
16
20
16
18
17
23
30
23
18
15
12
21
15
20
31
27
34
21
31
19
16
20
21
22
17
24
25
26
25
17
32
33
13
32
25
29
22
18
17
20
15
20
33
29
23
26
18
20
11
28
26
22
17
12
14
17
21
19
18
10
29
31
19
9
20
28
19
30
29
26
23
13
21
19
28
23
18
21
20
23
21
21
15
28
19
26
10
16
22
19
31
31
29
19
22
23
15
20
18
23
25
21
24
25
17
13
28
21
25
9
16
19
17
25
20
29
14
22
15
19
20
15
20
18
33
22
16
17
16
21
26
18
18
17
22
30
30
24
21
21
29
31
20
16
22
20
28
38
22
20
17
28
22
31
14
11
6
12
8
10
10
11
16
11
13
12
8
12
11
4
9
8
8
14
15
16
9
14
11
8
9
9
9
9
10
16
11
8
9
16
11
16
12
12
14
9
10
9
10
12
14
14
10
14
16
9
10
6
8
13
10
8
7
15
9
10
12
13
10
11
8
9
13
11
8
9
9
15
9
10
14
12
12
11
14
6
12
8
14
11
10
14
12
10
14
5
11
10
9
10
16
13
9
10
10
7
9
8
14
14
8
9
14
14
8
8
8
7
6
8
6
11
14
11
11
11
14
8
20
11
8
11
10
14
11
9
9
8
10
13
13
12
8
13
14
12
14
15
13
16
9
9
9
8
7
16
11
9
11
9
14
13
16
11
7
17
10
12
12
11
11
12
13
14
16
11
10
11
15
9
11
17
17
11
18
14
10
11
15
15
13
16
13
9
18
18
12
17
9
9
12
18
12
18
14
15
16
10
11
14
9
12
17
5
12
12
6
24
12
12
14
7
13
12
13
14
8
11
9
11
13
10
11
12
9
15
18
15
12
13
14
10
13
13
11
13
16
8
16
11
9
16
12
14
8
9
15
11
21
14
18
12
13
15
12
19
15
11
11
10
13
15
12
12
16
9
18
8
13
17
9
15
8
7
12
14
6
8
17
10
11
14
11
13
12
11
9
12
20
12
13
12
12
9
15
24
7
17
11
17
11
12
14
11
16
21
14
20
13
11
15
19
12
8
8
8
9
7
4
11
7
7
12
10
10
8
8
4
9
8
7
11
9
11
13
8
8
9
6
9
9
6
6
16
5
7
9
6
6
5
12
7
10
9
8
5
8
8
10
6
8
7
4
8
8
4
20
8
8
6
4
8
9
6
7
9
5
5
8
8
6
8
7
7
9
11
6
8
6
9
8
6
10
8
8
10
5
7
5
8
14
7
8
6
5
6
10
12
9
12
7
8
10
6
10
10
10
5
7
10
11
6
7
12
11
11
11
5
8
6
9
4
4
7
11
6
7
8
4
8
9
8
11
8
5
4
8
10
6
9
9
13
9
10
20
5
11
6
9
7
9
10
9
8
7
6
13
6
8
10
16
24
25
30
19
22
22
25
23
17
21
19
19
15
16
23
27
22
14
22
23
23
21
19
18
20
23
25
19
24
22
25
26
29
32
25
29
28
17
28
29
26
25
14
25
26
20
18
32
25
25
23
21
20
15
30
24
26
24
22
14
24
24
24
24
19
31
22
27
19
25
20
21
27
23
25
20
21
22
23
25
25
17
19
25
19
20
26
23
27
17
17
19
17
22
21
32
21
21
18
18
23
19
20
21
20
17
18
19
22
15
14
18
24
35
29
21
25
20
22
13
26
17
25
20
19
21
22
24
21
26
24
16
23
18
16
26
19
21
21
22
23
29
21
21
23
27
25
21
10
20
26
24
29
19
24
19
24
22
17
26
23
25
23
19
29
25
21
22
25
24
18
22
15
22
28
20
12
24
20
21
20
21
23
28
24
24
24
23
23
29
24
18
25
21
26
22
22
22
23
30
23
17
23
23
25
24
24
23
21
24
24
28
16
20
29
27
22
28
16
25
24
28
24
23
30
24
21
25
25
22
23
26
23
25
21
25
24
29
22
27
26
22
24
27
24
24
29
22
21
24
24
23
20
27
26
25
21
21
19
21
21
16
22
29
15
17
15
21
21
19
24
20
17
23
24
14
19
24
13
22
16
19
25
25
23
24
26
26
25
18
21
26
23
23
22
20
13
24
15
14
22
10
24
22
24
19
20
13
20
22
24
29
12
20
21
24
22
20
14
18
11
12
16
18
14
14
15
15
17
19
10
16
18
14
14
17
14
16
18
11
14
12
17
9
16
14
15
11
16
13
17
15
14
16
9
15
17
13
15
16
16
12
12
11
15
15
17
13
16
14
11
12
12
15
16
15
12
12
8
13
11
14
15
10
11
12
15
15
14
16
15
15
13
12
17
13
15
13
15
16
15
16
15
14
15
14
13
7
17
13
15
14
13
16
12
14
17
15
17
12
16
11
15
9
16
15
10
10
15
11
13
14
18
16
14
14
14
14
12
14
15
15
15
13
17
17
19
15
13
9
15
15
15
16
11
14
11
15
13
15
16
14
15
16
16
11
12
9
16
13
16
12
9
13
13
14
19
13
12
13




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104177&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104177&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104177&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







ParameterEstimated ValueStandard Deviation
mean16.00537634408600.198022526506411
standard deviation6.615256596719740.140023071320376

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & 16.0053763440860 & 0.198022526506411 \tabularnewline
standard deviation & 6.61525659671974 & 0.140023071320376 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104177&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]16.0053763440860[/C][C]0.198022526506411[/C][/ROW]
[ROW][C]standard deviation[/C][C]6.61525659671974[/C][C]0.140023071320376[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104177&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104177&T=1

As an alternative you can also use a QR Code:  

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

ParameterEstimated ValueStandard Deviation
mean16.00537634408600.198022526506411
standard deviation6.615256596719740.140023071320376



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = FALSE ;
Parameters (R input):
par1 = 8 ; par2 = 5 ;
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')