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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_fitdistrchisq1.wasp
Title produced by softwareMaximum-likelihood Fitting - Chi-squared Distribution
Date of computationFri, 07 Oct 2016 14:25:12 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Oct/07/t1475843136yk5htvbgynqvr4c.htm/, Retrieved Sun, 05 May 2024 23:29:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296605, Retrieved Sun, 05 May 2024 23:29:34 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact108
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Maximum-likelihood Fitting - Chi-squared Distribution] [3.3.7.21.4 2] [2016-10-07 12:25:12] [86c9a777e8dbb7ef3face68c75fc8376] [Current]
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Dataseries X:
11.14486395
7.947285762
13.6164633
14.15894995
10.20742303
8.425363126
9.788375141
9.530028692
6.440086226
13.81446502
7.047206884
12.02779324
7.611767484
17.5079621
15.89972074
4.914647206
11.51857644
4.184339183
13.16143761
19.78098421
13.38795378
7.63620822
8.608955178
8.841766971
15.99925997
21.80663469
15.87167715
10.3093707
8.072692431
4.419304915
10.19426948
20.96863351
8.925702857
12.76808293
7.295854594
7.076038248
9.474022998
13.78467325
7.948118172
15.21699923
9.498053842
16.68792936
12.45119232
14.98535595
9.037222252
9.51412502
23.04581193
9.702959826
15.7078596
19.63178913
10.15121804
7.165380432
5.085613102
10.4952699
23.25899617
8.605840338
7.107272595
12.28746436
12.28876639
20.34959385
13.25744206
4.955001548
14.3813469
16.29087577
18.71714101
5.912614983
6.139448575
13.51929956
17.65273163
16.95440643
12.86537029
8.075564539
7.364522276
16.51511603
17.96851459
16.09371049
11.26253863
8.726745117
10.22888516
14.50506492
14.3620006
13.79351413
12.90527456
7.686638067
9.587312608
8.343219088
16.15380851
16.88643605
5.058071737
14.81900188
10.55140424
3.81959859
10.29806652
10.98823163
14.97043894
6.387760792
7.047871323
6.119624425
10.07799565
16.32982506
6.249442031
9.214800354
5.066549442
8.337825571
8.78913329
8.543899316
4.941415743
38.72133132
8.78842743
12.94677639
4.859804733
11.0228367
9.896776286
14.500151
2.616927419
18.20227842
19.40895412
12.13391892
8.792077993
17.60461504
9.300022286
21.18916432
12.39936136
9.590051467
14.33240738
9.920294845
9.280755588
15.28593767
16.17429577
8.380377909
8.344644649
10.34019312
12.08338318
9.611779746
8.602125928
10.09163719
17.34792988
12.65458807
12.98670407
5.790970357
14.34066648
13.9334567
10.89451138
4.638616285
12.17921639
8.559058278
18.58857988
12.83251631
16.34059234
8.727279382




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296605&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=296605&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296605&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 Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center







ParameterEstimated ValueStandard Deviation
df11.73197687453380.378818461903763

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
df & 11.7319768745338 & 0.378818461903763 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296605&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]df[/C][C]11.7319768745338[/C][C]0.378818461903763[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296605&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296605&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

ParameterEstimated ValueStandard Deviation
df11.73197687453380.378818461903763



Parameters (Session):
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')