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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

Thu, 04 Oct 2018 12:59:57 +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/2018/Oct/04/t15386509522acbq2tuy2u287b.htm/, Retrieved Sat, 04 May 2024 04:20:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315555, Retrieved Sat, 04 May 2024 04:20:24 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

105

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] [] [2018-10-04 10:59:57] [679f1112dc3b31869254dd82340bfb0d] [Current]

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Dataseries X:

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Histogram

Boxplots

0.2861552554
0.5135748581
0.5060133197
0.134818308
0.3524887247
0.4694840052
0.03288687217
0.6065713148
0.66756756
0.8421035415
0.8073428188
0.3811267361
0.6120686725
0.06613657572
0.9833994243
0.5499022544
0.1946733237
0.5806561754
0.8108984013
0.3176179889
0.941807024
0.844821951
0.1209481413
0.3012162018
0.3537858573
0.2950028244
0.1277730404
0.5201872616
0.4273689086
0.743306124
0.04696907308
0.5783017636
0.7447170731
0.7175128344
0.03016578897
0.5367490112
0.6287579837
0.2424192021
0.916094245
0.9786816101
0.86495732
0.5625845259
0.2980615386
0.7651665274
0.4894961905
0.3064851395
0.4078313217
0.98254213
0.1438550006
0.5920748315
0.3159106773
0.5811817315
0.4958033202
0.5737513393
0.9482432745
0.2056631342
0.2267962507
0.930729086
0.4193086776
0.7163447247
0.08577677757
0.7968183785
0.1816280828
0.9023475033
0.5093846373
0.6316105814
0.4916760151
0.8859436093
0.3085712436
0.533069736
0.692198513
0.718350943
0.9216208907
0.4915303496
0.8109375404
0.6669341044
0.7335783724
0.085101436
0.975761604
0.6938116241
0.9620825359
0.11647683
0.1462024942
0.6258692849
0.6096064609
0.6911517243
0.6613985579
0.5161798864
0.9821035868
0.2370455246
0.1044439467
0.6968291449
0.2740601982
0.9655308079
0.9831443073
0.02314788605
0.7199542451
0.273868718
0.7271786116
0.8093504635
0.8121202386
0.5890504647
0.5016672498
0.9555793955
0.08502058651
0.1530451703
0.3371464863
0.766356361
0.9659229877
0.249453835
0.07594892663
0.9604393249
0.1919842675
0.3715697691
0.6349905693
0.3720860377
0.2937402873
0.8318450238
0.08496370537
0.8437235892
0.6450021896
0.3127632603
0.04593649255
0.8100244417
0.5791589858
0.8591187956
0.8993584511
0.07338859162
0.0718861677
0.8117018928
0.3164723215
0.270832001
0.4902608241
0.182390318
0.6031322313
0.5322811585
0.9082826922
0.9706471413
0.3610280751
0.8302742086
0.4888019087
0.9214248045
0.9653160542
0.5210679705
0.4318525154
0.2244753586
0.3586555782
0.5771514516
0.9893925909
0.6550671613

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=315555&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=315555&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315555&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	0.5377662390676	0.0235230826561268
standard deviation	0.288097748424117	0.0166333312605589

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & 0.5377662390676 & 0.0235230826561268 \tabularnewline
standard deviation & 0.288097748424117 & 0.0166333312605589 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315555&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]0.5377662390676[/C][C]0.0235230826561268[/C][/ROW]
[ROW][C]standard deviation[/C][C]0.288097748424117[/C][C]0.0166333312605589[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315555&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315555&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	0.5377662390676	0.0235230826561268
standard deviation	0.288097748424117	0.0166333312605589

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

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code