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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

Wed, 14 Dec 2016 20:36:03 +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/14/t14817443921oregcfoqe5tvot.htm/, Retrieved Sat, 04 May 2024 03:38:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299705, Retrieved Sat, 04 May 2024 03:38:15 +0000

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Original text written by user:

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No (this computation is public)

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Estimated Impact

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

-       [ML Fitting and QQ Plot- Normal Distribution] [ML fitting] [2016-12-14 19:36:03] [673dd365cbcfe0c4e35658a2fe545652] [Current]

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Dataseries X:

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Histogram

Boxplots

-2.344
0.2984
1.134
0.06216
0.2984
0.2984
2.261
0.7043
1.134
1.048
2.167
0.09963
0.6562
-1.702
0.7043
1.511
0.6562
-0.6535
1.261
0.2984
0.01407
0.6562
-0.2957
1.048
-0.8523
-0.1166
-0.0454
0.4915
0.4915
-1.918
-0.2385
1.298
-0.3813
-2.702
1.048
-0.2957
-1.654
-1.296
2.742
-0.2957
1.704
-1.833
0.3839
-0.4888
-0.2957
0.7043
0.4552
-2.296
1.298
2.704
2.491
-4.702
-1.508
-2.509
-0.0454
1.182
0.7043
-0.4032
1.492
0.6562
0.6562
0.5487
-0.7016
-3.21
2.38
-1.344
-1.296
0.9546
-0.3438
-0.3438
-1.043
-2.702
2.491
-0.6161
0.2984
-1.594
-0.9519
1.298
0.6562
-5.296
0.7043
1.917
1.048
4.742
1.704
2.048
-0.9519
1.656
-1.983
0.1674
1.704
0.8974
1.656
-0.9519
0.04809
2.656
2.048
1.312
-2.509
-0.9519
-1.688
-0.2957
1.048
0.2984
0.2412
-0.5085
0.4915
0.2609
-1.045
-0.4888
-3.083
3.704
0.7043
0.04809
1.134
0.04809
-1.451
-0.5085
-1.739
0.6562
-0.7016
0.9315
-0.8663
0.4915
0.7043
-0.7016
-0.8663
-4.508
0.1337
2.704
-2.952
-3.833
2.695
-0.5085
3.656
1.704
-2.509
-1.702
0.1337
-1.986
1.742
-1.508
3.384
-1.508
0.04809
-2.688
0.04809
0.2984
0.2644
-3.702
-0.5085
1.298
-1.952
-0.7391
2.298
-0.2582
2.511
-1.233
-0.5085
0.6562
-1.881
0.4915
-1.045
0.5487

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=299705&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=299705&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299705&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	-6.21341463414561e-05	0.130147442908518
standard deviation	1.66670049225487	0.0920281394347019

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & -6.21341463414561e-05 & 0.130147442908518 \tabularnewline
standard deviation & 1.66670049225487 & 0.0920281394347019 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299705&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]-6.21341463414561e-05[/C][C]0.130147442908518[/C][/ROW]
[ROW][C]standard deviation[/C][C]1.66670049225487[/C][C]0.0920281394347019[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299705&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299705&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	-6.21341463414561e-05	0.130147442908518
standard deviation	1.66670049225487	0.0920281394347019

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = Default ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 1 ; par6 = White Noise ; par7 = 0.95 ;

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')

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Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code