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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

Tue, 06 Dec 2016 12:03:32 +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/06/t1481022419iab19athoegfcio.htm/, Retrieved Fri, 01 Nov 2024 03:33:34 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297782, Retrieved Fri, 01 Nov 2024 03:33:34 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

127

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] [] [2016-12-06 11:03:32] [219800a2f11ddd28e3280d87dbde8c8d] [Current]

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Dataseries X:

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Histogram

Boxplots

-1.546
1.96
0.9041
0.5292
-1.222
3.157
-0.248
2.354
-1.646
-0.7949
2.231
4.328
0.2355
-1.345
-2.769
-0.3448
-0.769
-1.516
-5.918
1.555
2.157
-0.09593
-2.092
1.105
0.8303
4.004
-0.3925
2.354
3.354
-10.12
1.73
-1.092
-1.594
-0.8426
1.105
-0.3448
-1.646
0.9041
3.458
2.904
-9.646
-3.222
0.3308
1.655
1.406
-0.8947
0.2829
2.581
0.5057
-3.895
-0.09593
-3.17
-5.144
0.3541
1.454
1.205
0.2049
-0.04375
-1.743
-2.39
0.9821
-2.345
4.454
-2.821
-3.646
1.335
-1.921
4.056
1.231
-0.6953
0.8042
2.904
-0.7951
-2.843
0.3541
0.9344
-3.594
1.058
1.354
3.354
-1.345
-1.594
-1.791
3.458
-2.642
1.804
1.157
0.9083
-1.345
3.209
0.3541
-4.646
1.458
1.361
3.354
-0.1958
-1.542
-0.3448
1.105
1.904
-2.717
-0.672
-3.546
1.254
-2.345
1.157
0.3541
0.1351
2.804
-0.6459
-1.869
-0.9208
1.354
2.608
0.9041
0.9041
0.532
0.7069
-1.222
0.3541
1.904
0.7074
2.908
-2.267
-1.642
-0.672
1.209
-1.044
0.3065
3.209
2.354
-3.642
1.004
-1.096
0.1572
1.28
5.354
-0.3925
1.707
-0.7949
-0.5417
-5.293
-1.345
2.878
0.9041
0.454
-4.241
2.956
0.6592
-0.546
1.856
1.157
0.454
-0.3448
0.07916
-2.121

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297782&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]

3 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=297782&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297782&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	3 seconds
R Server	Big Analytics Cloud Computing Center

Parameter	Estimated Value	Standard Deviation
mean	-8.17307692307666e-05	0.190807440784303
standard deviation	2.38318417155498	0.134921235279431

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & -8.17307692307666e-05 & 0.190807440784303 \tabularnewline
standard deviation & 2.38318417155498 & 0.134921235279431 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297782&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]-8.17307692307666e-05[/C][C]0.190807440784303[/C][/ROW]
[ROW][C]standard deviation[/C][C]2.38318417155498[/C][C]0.134921235279431[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297782&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297782&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	-8.17307692307666e-05	0.190807440784303
standard deviation	2.38318417155498	0.134921235279431

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')

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Figures (Output of Computation)

Input Parameters & R Code