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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

ML Fitting and QQ Plot- Normal Distribution

Date of computation

Fri, 23 Dec 2016 18:04:17 +0100

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/2016/Dec/23/t14825128561i0bgozed97mgk8.htm/, Retrieved Tue, 07 May 2024 07:42:26 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=303006, Retrieved Tue, 07 May 2024 07:42:26 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
- RMP     [ARIMA Forecasting] [Unemployment] [2010-11-29 20:46:45] [b98453cac15ba1066b407e146608df68]
- RMPD        [ML Fitting and QQ Plot- Normal Distribution] [] [2016-12-23 17:04:17] [8e62cbb8023b87d93040197279d31dd8] [Current]

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Dataseries X:

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Histogram

Boxplots

-0.119674416544362 
-1.2450549365719 
-1.23244433471217 
1.30790827126443 
1.20948241281955 
1.80559083537745 
1.44157342401413 
-0.0612599385511935 
1.17312952359567 
1.0427017874741 
0.100662442465355 
1.90947079978085 
0.0256403875064649 
0.786773497633863 
-0.79187319808136 
0.6617995940124 
-0.974598824964366 
0.139688820853106 
1.11523800679395 
1.16578819604624 
0.917183625813945 
-1.02774403878696 
-0.495313819428477 
2.04914536794034 
-0.816825738918989 
0.314804229995915 
-0.656108916619367 
-1.73496248880003 
2.65425437405061 
0.427849967948113 
-0.900143397335664 
-0.529695971421035 
0.38726438057771 
2.54127152178279 
0.407492867067053 
-0.0740884912076537 
1.60220963412373 
0.821175279293522 
-1.41526058292817 
-0.67212500056963 
0.167468962489227 
1.52558066788428 
0.43563170466575 
-0.113544652800771 
-0.662682391908132 
1.66538064369683 
-0.208976532793211 
1.29384301051877 
0.00386049365663801 
0.351210754315221 
-1.12274804323334 
4.22475303823733 
-1.01004066067026 
0.0176686572492463 
2.93068542227433 
0.654810601551035 
1.88053980862705 
-0.102722439253246 
-0.596158155665421 
-0.987458624780075 
-1.80693330399875 
-0.8716713132348 
-1.06995498649081 
1.05473522848653 
1.36505705645487 
2.43950476595327 
0.701505084745527 
-0.421885237652541 
-0.181009416535983 
-2.47614318853498 
1.06896972089709 
0.255347879826023 
-0.53285317401478 
-0.804852425583787 
1.52492365314007 
0.404028401347959 
0.507192257644832 
-0.0509858295551438 
0.383926818577598 
0.434619003257549 
-0.042291314201279 
-1.84789561783062 
-0.475598836698206 
1.65122533982314 
0.665612478635599 
0.107510777662284 
2.62813955602553 
-1.64187168609857 
1.68223631451145 
-0.0880786076704655 
-1.93529012079269 
1.0970156409052 
0.708376005580569 
-0.0144862691526715 
0.945708656929019 
0.0436411692136322 
-0.503107268247707 
-0.495866542906712 
-1.41632854989571 
2.47950071525069 
1.03789264432948 
-0.0567835563599925 
0.124933932183552

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303006&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

4 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=303006&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303006&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	4 seconds
R Server	Big Analytics Cloud Computing Center

Parameter	Estimated Value	Standard Deviation
mean	0.293065468667733	0.118360859492158
standard deviation	1.20123152853703	0.083693766373973

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & 0.293065468667733 & 0.118360859492158 \tabularnewline
standard deviation & 1.20123152853703 & 0.083693766373973 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=303006&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]0.293065468667733[/C][C]0.118360859492158[/C][/ROW]
[ROW][C]standard deviation[/C][C]1.20123152853703[/C][C]0.083693766373973[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=303006&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=303006&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	0.293065468667733	0.118360859492158
standard deviation	1.20123152853703	0.083693766373973

Figure 1

PNG link

Postscript link

PDF link

Figure 2

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)
library(car)
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')
print(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$estimate[2])^2),min(x),max(x),add=T)
dev.off()
bitmap(file='test3.png')
qqPlot(x,dist='norm',main='QQ plot (Normal) with confidence intervals')
grid()
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Parameter',1,TRUE)
a<-table.element(a,'Estimated Value',1,TRUE)
a<-table.element(a,'Standard Deviation',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
a<-table.element(a,r$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