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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, 17 Nov 2015 16:23:09 +0000

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/2015/Nov/17/t1447777436qi4sp4tbaathb9g.htm/, Retrieved Tue, 14 May 2024 08:10:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283434, Retrieved Tue, 14 May 2024 08:10:58 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

128

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] [] [2015-11-17 16:23:09] [6e0f9d477fd567d092284819440de98c] [Current]

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Dataseries X:

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Histogram

Boxplots

15.79081363
7.318318726
9.295490578
10.47435581
13.42386809
8.040386265
8.116269367
5.176997459
8.30260999
6.231716534
12.82578383
15.6108187
20.67932589
5.925947858
12.75091041
4.099125569
12.91025214
13.85790405
16.65009692
5.386425046
18.09785406
14.43784023
12.23611176
11.37629464
7.491802987
19.83208963
7.438139651
2.709486214
10.64913829
16.46996062
8.249890537
11.73059152
10.23561727
5.867005332
12.63634911
6.202308363
12.00073616
13.74237096
13.58546824
9.281248967
14.045406
18.59902078
18.77060074
9.447459255
13.1863225
10.74706001
15.33462694
5.816309983
9.902136928
8.748287983
23.55315188
14.79866678
18.65724526
16.56575101
10.02392045
7.719672185
8.779245984
20.054658
7.269745099
10.91739247
18.26670129
10.81760205
3.935119608
16.24154138
10.82694523
12.60149354
10.87646295
10.93352824
5.92006339
10.85051873
18.41179795
10.61187178
14.93734425
5.054566715
33.40728578
12.99661808
13.68524434
13.49423052
9.301471827
15.35989049
5.068817883
13.50496316
4.953928657
15.61501384
22.54459192
11.16399133
6.549587469
21.17226801
11.51269259
8.156951683
5.347241022
17.88038417
9.666173583
9.141228961
16.9900033
17.05269668
8.686817521
20.12124952
13.44957504
17.85377733
14.17187126
14.61113926
17.11275633
16.32871683
7.289076613
2.826686448
8.484893408
18.79773821
7.905941622
7.475529378
14.90079786
11.18929026
11.26370384
8.655595841
18.08040961
5.433611262
19.05692014
12.14213173
7.621786734
17.26525371
10.20951543
17.49820801
12.67441418
5.629306022
8.44011383
5.920648298
13.47166339
16.59138263
13.25923177
7.956141765
5.688624728
12.35080056
21.08065863
13.69734076
13.25029464
14.47386507
10.95955435
13.14003137
6.318171774
17.98116305
7.75606679
12.97413854
6.314971505
9.449664894
7.948899953
16.83885058
12.93593356
9.913491748
6.731758518
21.01849916

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	'Gertrude Mary Cox' @ cox.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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283434&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283434&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283434&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	'Gertrude Mary Cox' @ cox.wessa.net

Parameter	Estimated Value	Standard Deviation
mean	12.0541593953333	0.404250060625504
standard deviation	4.95103188510825	0.285847959163367

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & 12.0541593953333 & 0.404250060625504 \tabularnewline
standard deviation & 4.95103188510825 & 0.285847959163367 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283434&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]12.0541593953333[/C][C]0.404250060625504[/C][/ROW]
[ROW][C]standard deviation[/C][C]4.95103188510825[/C][C]0.285847959163367[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283434&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283434&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	12.0541593953333	0.404250060625504
standard deviation	4.95103188510825	0.285847959163367

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 100 ; par2 = 5 ; par3 = 1,7 ; par4 = 2 ; par5 = N ; par6 = 5 ;

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')
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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Dataset

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Figures (Output of Computation)

Input Parameters & R Code