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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, 27 Oct 2015 18:29:22 +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/Oct/27/t1445971549qzew7whuipomrg5.htm/, Retrieved Sat, 18 May 2024 13:56:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283093, Retrieved Sat, 18 May 2024 13:56:56 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

153

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] [Chapter 3 - Task 3] [2015-10-27 18:29:22] [056331f8739198d7705ae45a22f1e54e] [Current]

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Dataseries X:

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Boxplots

0.06973015238
-0.3144246745
1.575562038
-2.623294015
-1.425683502
1.196936391
0.01719948837
0.05218244314
0.7466760549
-0.5623585024
0.5379620109
0.3424440895
0.4488664403
-0.4982823301
0.3061084429
0.3241873954
-0.8437668869
1.823439132
-1.49074738
-0.1190302861
0.2031368293
0.1691486502
0.717278164
-0.9377819526
0.7630565572
1.863453541
-0.02037143735
-1.323386938
0.5630666185
-1.75020269
-0.343027696
-0.8801523973
-0.6673103942
-1.614594351
0.9872428409
0.4367605318
1.987123644
0.970607869
0.3860535732
-1.382154249
0.5448449668
-1.487466704
-0.5185120498
0.1301357138
-1.220414404
-1.27681777
-0.1167352925
-0.3175397308
-0.3933143171
-0.8481273981
0.6862774937
0.2250806681
-1.79617862
1.052061045
0.7085102573
-0.8163019478
-0.133893114
-0.5174607572
-0.5366729607
-1.072162646
0.5955723079
-1.356994831
-1.133862713
-0.5263937019
0.4250164038
1.444009431
-1.324564383
0.4208287617
-0.5237664623
-0.6887233186
-1.331783002
1.124553958
1.752616694
0.2244015571
-0.4502331566
0.1009399641
0.6661348628
0.9899203447
-0.4021742251
0.6675127389
1.298685598
-0.2512430175
-0.9588699082
0.8177998477
1.39782252
-0.281955303
0.1723264621
-0.6696611756
-0.8931421253
0.1673217976
1.195262048
2.112061808
-0.5706599137
0.6291034785
-0.1933503215
-0.2239464956
0.4279062385
1.343827659
-0.4878921919
1.453685464
-1.842490145
-0.06082340576
-2.323424769
0.8411247753
0.3330229335
0.3437731325
-0.6908982103
-0.5197822918
-0.2687860017
-1.064748208
-1.417987169
0.2737486719
0.3271003571
0.922705213
0.0844495323
1.235073845
1.164675901
-0.0364945847
-1.189716075
-0.5278698036
-0.0379867841
0.01450014743
-0.1195912553
-0.5941809729
-1.549258528
-2.582415961
-1.000597305
0.2227649179
0.4498988795
1.21964497
1.646570356
-1.43755058
-0.3258398525
1.72688552
0.001357232347
1.438719992
-0.7235608054
0.2935187877
-0.3968601348
-2.604326461
-0.8751335704
-1.655159682
0.7453909276
-1.102084525
0.814141524
0.6346737606
-0.3957811051
-0.04480669502
0.4112609469
0.7371927542

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	'Sir Maurice George Kendall' @ kendall.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 & 4 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283093&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283093&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283093&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Parameter	Estimated Value	Standard Deviation
mean	-0.0690726697057533	0.0813219078471917
standard deviation	0.995985895676275	0.0575032724977768

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & -0.0690726697057533 & 0.0813219078471917 \tabularnewline
standard deviation & 0.995985895676275 & 0.0575032724977768 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283093&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]-0.0690726697057533[/C][C]0.0813219078471917[/C][/ROW]
[ROW][C]standard deviation[/C][C]0.995985895676275[/C][C]0.0575032724977768[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283093&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283093&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	-0.0690726697057533	0.0813219078471917
standard deviation	0.995985895676275	0.0575032724977768

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')
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

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code