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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_fitdistrchisq1.wasp

Title produced by software

Maximum-likelihood Fitting - Chi-squared Distribution

Date of computation

Mon, 28 Sep 2015 11:58:17 +0100

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/Sep/28/t1443437909o6ux96wqsr6rtoi.htm/, Retrieved Thu, 16 May 2024 16:59:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280709, Retrieved Thu, 16 May 2024 16:59:09 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

511

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Maximum-likelihood Fitting - Chi-squared Distribution] [] [2015-09-28 10:58:17] [63a9f0ea7bb98050796b649e85481845] [Current]
- R PD    [Maximum-likelihood Fitting - Chi-squared Distribution] [Chi kwadraat] [2015-11-03 11:54:06] [4765b322c146317f3c2fe870c7d91e2b] 
- RMPD    [Histogram] [3.1 Task 3] [2015-11-07 13:11:41] [4d39cf209776852399955073f9d0ee7a] 
-   PD    [Maximum-likelihood Fitting - Chi-squared Distribution] [tk 6 h3] [2015-11-08 15:57:11] [0421fd723697f00896a2f19b11b89484] 

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Dataseries X:

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Histogram

Boxplots

1.689783332
0.0355216802
0.00340840701
0.2594019456
1.723236765
0.01702883258
0.1387603598
0.3024735283
0.4854740894
1.236621454
1.878222709
0.03062899134
0.03071007826
1.336352419
0.03310095596
1.661081103
0.02477453803
2.014513726
3.677440706
0.2033053536
3.732510937
0.4230404513
0.9479492693
0.6311877043
0.4708426367
0.03901713274
1.757676395
0.001775956127
2.986894055
0.5077761341
3.214658487
0.1604722019
0.08302015935
5.017028213
0.1537213554
1.621866243
1.21847347
0.01941275448
0.5767861279
1.468703994
0.4355102361
0.1218545123
1.416376438
0.3382751473
0.04000319894
0.5376838743
4.629457895
1.579927271
0.001468971549
0.1239891665
0.2178711268
3.128020092
1.670285209
0.05532729679
0.6385263937
0.01190046348
0.3762593654
0.05426960246
0.4299265591
1.191980559
0.4372424078
8.679629242
4.227649369
0.3040686274
7.109875275
0.5380994443
0.1443231845
1.91239399
0.1216816279
1.44484196
2.351325675
0.02865048616
0.3875833006
0.1224804486
0.4079336311
0.2060843512
0.9505679583
0.7224368194
1.208533463
1.18509977
1.743294884
2.793966794
0.08055129438
1.317230842
0.2189557407
0.0464583132
2.678182956
2.99007933
0.1912048812
0.437775639
1.279543754
0.2188662533
1.765099102
1.96899846
2.304665306
0.3076023617
0.2251606849
1.175932835
1.109724411
2.031259931
0.3298419084
1.262008809
0.03739586977
1.688744873
1.522482034
0.004925612129
0.0001924108555
3.260428494
3.323674514
2.32958513
2.468597396
0.7537838814
1.300548712
1.37597856
0.0008480346563
0.0001553729124
0.5295704063
0.1677220406
3.330081986
1.71446924
0.5480418298
0.08611738807
1.379357834
1.420664616
0.006451720872
0.08196641071
0.7670471607
6.89497848
0.8557119303
0.7481473923
0.00351926545
0.03516933765
3.159235637
0.1003199929
7.911120143
0.007341583284
0.4084602998
0.5476307763
1.539824988
9.618183569
0.5522349315
2.44954637
2.196080388
0.0004170015327
0.1454472797
0.615261143
0.5291957091
2.070785327
0.2217738388
2.261016939

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=280709&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=280709&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280709&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
df	1.13350351726819	0.0816934664087272

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
df & 1.13350351726819 & 0.0816934664087272 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280709&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]df[/C][C]1.13350351726819[/C][C]0.0816934664087272[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280709&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280709&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
df	1.13350351726819	0.0816934664087272

Figure 1

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Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 8 ; par2 = 0 ;

Parameters (R input):

R code (references can be found in the software module):

library(MASS)
library(car)
chii <- x
chi_df <- fitdistr(chii,'chi-squared',start=list(df=3), method='Brent',lower=0.1,upper=100)
chi_k <- chi_df[[1]][1]
bitmap(file='test1.png')
chi_hist <- hist(chii,breaks=50,col='gray',freq=FALSE,main='Histogram scaled to density',xlab='x')
curve(dchisq(x,df=chi_k),add=TRUE,col='red')
dev.off()
f<-chi_df
f$estimate
f$sd
xlab <- paste('Chisq(df = ',round(f$estimate[[1]],2),sep='')
xlab <- paste(xlab,')',sep='')
xlab
bitmap(file='test2.png')
qqPlot(x, dist='chisq', df=f$estimate[[1]], ncp=0, main='QQ plot (Chi-squared 1 param.)', xlab=xlab )
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,'df',header=TRUE)
a<-table.element(a,f$estimate[1])
a<-table.element(a,f$sd[1])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

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Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code