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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 computationThu, 04 Oct 2018 17:31:37 +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/2018/Oct/04/t15386671366z63bpughctfuzg.htm/, Retrieved Fri, 03 May 2024 21:00:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315562, Retrieved Fri, 03 May 2024 21:00:16 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Maximum-likelihood Fitting - Chi-squared Distribution] [] [2018-10-04 15:31:37] [fe87f86f8a649e8dd232440b9db78f3e] [Current]
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Dataseries X:
10.57214124
9.502007979
8.763392845
10.69649329
9.718189092
14.91256486
14.5091796
8.774542989
8.282598702
7.805850516
11.29794909
17.52957982
4.410819417
13.40350901
12.882632
9.944263322
13.53700758
9.898711075
10.73961464
15.3809527
24.16933018
10.14589811
5.797262327
11.17575963
21.49298114
15.51450033
16.00048001
9.038795785
5.478089093
25.18827734
6.166019285
13.08242533
12.32452482
15.06746115
16.24383832
17.6701922
8.116175507
24.919796
13.58193367
11.51103392
18.62707482
10.14629808
10.23355244
28.96960036
25.55692406
8.699301441
12.80493586
11.5656902
8.473144898
13.14956983
7.548607311
6.324623894
9.380191387
12.35939501
29.36097261
9.243267217
16.38117995
12.70323569
12.30337974
6.737480943
18.01692672
9.650484868
12.66949214
3.721755222
5.771783838
9.972236549
9.086845994
9.768007023
19.9454325
12.60614032
5.271569336
14.71613616
11.75371381
7.844732633
10.79140828
9.710161605
14.02493699
21.95131262
18.96059079
6.116706027
19.63439072
15.08937268
13.28115955
5.538828986
17.0552727
5.959878684
12.78909047
8.626876216
11.07258526
11.16070539
9.622099729
7.861687807
21.62343609
4.732890586
13.528574
27.06691368
6.841275779
8.447194666
10.12914421
8.29335624
7.386054853
12.01745232
15.72831683
6.986184662
7.740544868
11.32325762
13.03003466
20.00200854
17.11944324
9.482540271
20.19891215
8.897746032
22.17799206
9.47079787
8.888062505
15.58071984
12.92241958
9.897010949
17.2415138
3.494104047
12.13584557
5.111499352
19.15013243
14.6388929
9.933126325
12.25390132
9.307760999
21.13427788
9.190557071
9.717626603
11.93732802
8.519687457
13.49242889
20.60799352
4.194642942
11.73727346
15.97892249
11.61998346
10.35091888
13.67948083
5.75636286
9.025482362
18.80769512
11.51859523
21.75300716
12.11735823
14.55085418
15.85597379
15.40309626
25.454906




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time6 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 time6 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315562&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]6 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=315562&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315562&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 time6 seconds
R ServerBig Analytics Cloud Computing Center







ParameterEstimated ValueStandard Deviation
df12.5113460751140.392259700512624

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
df & 12.511346075114 & 0.392259700512624 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315562&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]df[/C][C]12.511346075114[/C][C]0.392259700512624[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315562&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315562&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
df12.5113460751140.392259700512624



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')