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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

Sun, 08 Nov 2015 15:20:48 +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/08/t144699608013wee1jaznzv9nz.htm/, Retrieved Mon, 13 May 2024 23:21:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283248, Retrieved Mon, 13 May 2024 23:21:39 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

164

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] [] [2015-11-08 15:20:48] [7b81fac622814275349f5d25cf6bd6bd] [Current]

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Dataseries X:

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Histogram

Boxplots

-0.9573993856
-0.2518251025
1.107458715
0.0008697583706
-0.4543372521
-0.4185413845
0.5526514375
0.6369356958
-1.84720897
-0.9126451211
1.019707661
-0.2268118927
-0.1860477742
-1.278420873
-0.008874584436
-1.015380125
1.033585937
0.5027727447
0.05886830728
-0.5534354882
-1.242065975
0.4896765829
-0.3836177542
0.4665568248
0.3717442243
-0.1323218088
-0.3400132184
1.625568182
-0.1956503671
0.644735306
0.6996419639
-0.4713832427
-0.2548773059
0.9566730353
-0.2209101748
0.1647531501
-0.03169587279
-0.01814272936
0.6053710581
-1.123579669
1.767207375
0.4652421824
-0.2122835176
-0.06181063343
0.4977974701
-0.1482067429
0.1858136898
-0.25513033
0.2316450035
-1.970714942
0.3674488515
0.60899419
-1.481744296
0.6804740668
-0.8244768928
2.16767987
-0.7432260121
2.24464665
1.404444013
-0.6011369029
-1.32293757
0.4885417662
-0.414107447
0.246910061
0.430155729
0.6866489714
1.883964452
0.8576018551
0.7880897757
0.4108810213
0.09968694625
-2.57750508
-0.04689414809
-1.070377885
0.7849101369
-0.3673433031
0.4762297714
1.216150267
-0.5344261953
-0.2582244673
0.785225735
-0.4335643432
-1.02565103
0.2386463298
-1.178074324
-1.173686899
-0.1073454155
-0.870969106
0.78893325
-0.7719700171
0.1020488513
-1.173106921
1.005703055
-0.16383074
-1.555003951
-1.344990752
0.873994455
-0.3970528181
0.4950081906
1.954953703
0.952701132
0.03288607247
0.43616137
-0.1935409656
-0.8579453228
-1.543137434
0.05198761171
0.3561512535
0.9772040814
0.9155298675
-1.176258652
-0.2443395905
-1.968830375
0.6521160133
-0.861958924
1.709105878
-0.5728277993
-0.785403258
-0.3961140679
-0.3700435856
-1.539662978
0.1672430234
0.4790471848
0.4072661241
0.3287731671
1.411544253
-1.794164996
-1.218715859
-0.0259725499
0.1165059123
1.056240213
-0.671559526
-0.9690866645
-0.7416775042
-1.113549698
1.055705985
-0.1132843283
-1.230574654
-1.999258334
-0.3956718115
-0.1502310374
0.2969054124
0.1247458966
-0.9370588385
0.427412173
-1.429688764
0.4880913695
0.390051048
-0.2866826291
0.3788218083

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	'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 & 3 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283248&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283248&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283248&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Parameter	Estimated Value	Standard Deviation
mean	-0.0654184918761693	0.0741309685294868
standard deviation	0.907915235177803	0.0524185105431267

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & -0.0654184918761693 & 0.0741309685294868 \tabularnewline
standard deviation & 0.907915235177803 & 0.0524185105431267 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283248&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]-0.0654184918761693[/C][C]0.0741309685294868[/C][/ROW]
[ROW][C]standard deviation[/C][C]0.907915235177803[/C][C]0.0524185105431267[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283248&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283248&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	-0.0654184918761693	0.0741309685294868
standard deviation	0.907915235177803	0.0524185105431267

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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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code