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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, 07 Oct 2016 14:04:03 +0200

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/Oct/07/t1475842540x7b5gwpbi0hqqns.htm/, Retrieved Sun, 05 May 2024 22:04:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296597, Retrieved Sun, 05 May 2024 22:04:41 +0000

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Original text written by user:

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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] [] [2016-10-07 12:04:03] [f07fac15bca656f595926f3a45d3c842] [Current]

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Boxplots

1.295608211
-0.7552179446
-0.105150922
0.457037213
-1.796834752
-0.06555388418
-2.215531922
-0.3954759922
-1.215073597
-0.9035856889
-1.008772491
-1.216108102
1.23722838
-0.6904325617
1.174619304
1.105917827
-1.576772704
0.4287674838
-0.8834176461
0.4188465894
-2.141627312
-0.2929503964
-0.8945862623
0.07902062042
-0.007244249416
-0.2853103315
-1.383445219
0.51838496
-0.2096668426
-0.9448533133
0.2902523083
-1.391133081
-0.394974256
-0.1221197144
0.2060945364
-0.1763687352
0.3536920879
2.188042669
0.4544224707
-1.804790284
0.9859772148
-1.04695358
0.004615940613
2.070506394
-0.7489641373
-0.9939931857
0.870254653
0.6626770604
0.761131824
0.7460591727
0.5711544003
-0.600115585
-0.647889241
0.6355509877
-1.107721786
1.070927881
-0.259250541
-0.5058902497
0.9395224196
0.7677484633
0.4789792517
-1.410414941
0.4923780102
1.624808669
-0.7950155745
-0.474134081
0.6534662048
0.3553472532
1.191176376
-0.07242646639
-0.205049646
-1.415490565
2.189041683
-0.07837186316
0.8018214202
-0.02064864457
1.570866106
-0.5843082944
-1.387940479
-0.8242797558
-0.2316669759
0.1734854894
-0.9463301625
-0.4979907968
1.007997328
-0.3130179078
0.9785938261
-0.5002129172
0.3436335893
0.845472789
-1.306504595
-0.7586965424
-1.014539807
2.401510289
-0.3125780313
-0.5561315474
-0.07376232428
0.2337258104
-0.3436593856
0.3811075064
-2.135757554
0.4065216144
-0.1754508473
-0.4089085984
0.4231153884
-0.9733617295
-1.437037446
-0.6186587971
0.6685855959
0.8965971567
0.3042735504
0.1307079257
0.9220687876
-0.03498222039
-0.2450105909
-0.6118723963
-1.128858825
1.573810092
1.404342409
-0.231748957
0.9768879763
0.5022420312
-0.6699234821
0.6439489156
0.1781270125
-1.192118135
-0.6988918012
0.6356913003
-3.107492545
1.464415364
1.177062736
-1.102197079
1.314483419
-0.203661524
1.6046852
0.2015927878
0.01016253925
-0.2894753897
1.011126595
-2.184640896
-0.190970333
1.724666844
0.8941052486
-0.818730608
-0.007454617025
-0.2074043742
1.408942641
-0.6108850016
0.7796198347
0.926470912

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 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 time5 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296597&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]

5 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=296597&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296597&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	5 seconds
R Server	Big Analytics Cloud Computing Center

Parameter	Estimated Value	Standard Deviation
mean	-0.02663143340552	0.0811862991923421
standard deviation	0.99432503563084	0.057407382698345

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & -0.02663143340552 & 0.0811862991923421 \tabularnewline
standard deviation & 0.99432503563084 & 0.057407382698345 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296597&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]-0.02663143340552[/C][C]0.0811862991923421[/C][/ROW]
[ROW][C]standard deviation[/C][C]0.99432503563084[/C][C]0.057407382698345[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296597&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296597&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	-0.02663143340552	0.0811862991923421
standard deviation	0.99432503563084	0.057407382698345

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

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code