Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

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

Fri, 06 Nov 2015 11:57:47 +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/06/t1446811084s6avwxhg9g1qem6.htm/, Retrieved Tue, 14 May 2024 01:53:08 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283168, Retrieved Tue, 14 May 2024 01:53:08 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

188

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] [Task 3 - Chapter 3] [2015-11-06 11:57:47] [39661ea0cc1af7d66f31b3ef3719ea7a] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

3.144526987
-0.06001685076
-0.4001231611
-0.2102028967
-1.501877712
0.2539317116
0.4319650657
0.2775640954
-0.6725003436
0.07055596888
-0.01528606856
0.5057418843
-0.9750275179
0.6820133085
1.511106635
0.4178220937
0.5057376987
0.4407287653
0.8334573132
0.03862111098
-0.6875100621
-0.06177250389
-1.278536709
2.176550196
-0.2330892833
-0.2691565903
0.3171313733
0.6727613303
0.1680326246
0.6123016741
-0.3934201518
0.1971677445
0.0374788857
0.4331769931
1.938715378
-1.408661197
-1.588422733
-0.5327732432
0.5907843312
-0.2417284493
0.1803497339
0.3245985615
1.380799905
-0.9009647023
0.4733761657
0.4119137214
0.3268438613
0.4962925912
0.09253414959
-0.06077516358
0.3532430254
-1.155305405
0.991612865
1.473849233
-0.9563787348
-0.871848343
-2.197197435
-0.9589232286
-0.5591736647
-1.956021227
0.4100587655
0.7717526678
-1.106268722
-0.8260839523
-1.430658558
0.09673579433
0.9509115548
1.702024388
-1.424270625
0.488231622
-0.6988034315
0.6794556835
-0.02259062063
0.7479999909
-1.23890344
0.8360987262
-0.663459618
-0.157561439
-0.6908957299
-0.0609006182
0.03699315031
0.2845403773
1.166871686
1.69825612
1.138964012
-0.9372728844
0.9272619168
-0.7817091942
0.2804644697
0.1165570981
-0.2707241124
-1.002006024
-0.3743147346
1.359308124
1.479854064
-0.5237546484
-1.139764209
1.247435759
-0.8774467744
1.124909402
-1.766741831
-0.1030939538
-1.046901776
-0.911394186
0.6464166683
-0.2535962721
-1.018191091
0.3713550451
-0.2102380471
0.767415034
1.342901398
-0.4299011888
-1.675529831
-0.7788139624
0.7506655097
1.155095643
2.112457454
-0.03744462346
0.002515890948
-0.7028087591
0.4928690114
0.2906622073
0.5289194085
0.2419641872
-0.3945567373
0.3465295564
0.9901961729
-2.769253757
-0.2392484301
0.05752196494
0.9201969647
-0.03148187918
-1.142688072
-0.3713212468
-0.5831455147
-2.36132036
0.8455786891
-0.4190781375
-0.1203894082
1.464695634
0.2388063778
0.3361388849
-1.206282329
-0.1813839503
0.6707893748
-0.6508587643
-0.4385846291
0.8764718594
-1.4995241
-1.213503097

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	'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283168&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283168&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283168&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	'George Udny Yule' @ yule.wessa.net

Parameter	Estimated Value	Standard Deviation
mean	-0.00782148904654667	0.0780786035315537
standard deviation	0.956263692406876	0.0552099100227375

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
mean & -0.00782148904654667 & 0.0780786035315537 \tabularnewline
standard deviation & 0.956263692406876 & 0.0552099100227375 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283168&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]mean[/C][C]-0.00782148904654667[/C][C]0.0780786035315537[/C][/ROW]
[ROW][C]standard deviation[/C][C]0.956263692406876[/C][C]0.0552099100227375[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283168&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283168&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	-0.00782148904654667	0.0780786035315537
standard deviation	0.956263692406876	0.0552099100227375

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code