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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

Fri, 07 Oct 2016 14:43:02 +0200

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/2016/Oct/07/t14758441977w9m4uftnkqrcin.htm/, Retrieved Thu, 20 Feb 2025 19:16:00 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296609, Retrieved Thu, 20 Feb 2025 19:16:00 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

138

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

-       [Maximum-likelihood Fitting - Chi-squared Distribution] [Chi-squared data ...] [2016-10-07 12:43:02] [325a18647724c80085378f2a448a1737] [Current]
- RMPD    [ML Fitting and QQ Plot- Normal Distribution] [Normal distributi...] [2016-12-06 20:36:05] [94d92f6843fa5eeafb3432946c36ea8b] 
- RMPD    [ML Fitting and QQ Plot- Normal Distribution] [Normal distributi...] [2016-12-06 20:43:54] [94d92f6843fa5eeafb3432946c36ea8b] 
- RMPD    [Skewness and Kurtosis Test] [Skewness & Kurtos...] [2016-12-06 20:57:24] [94d92f6843fa5eeafb3432946c36ea8b] 
- RMPD    [Skewness and Kurtosis Test] [Skewness & Kurtos...] [2016-12-06 20:58:43] [94d92f6843fa5eeafb3432946c36ea8b] 

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Dataseries X:

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Histogram

Boxplots

0.8652861754
2.199731795
0.2155649554
0.5983666442
1.262774436
0.2408470963
0.8076014976
0.5808436094
3.851067059
0.4609259149
0.7409577605
0.6108738479
0.4850951827
0.5090617809
0.0001189336984
0.2926425446
0.4101472577
0.02542342017
0.5567586895
1.676046392
0.07595533885
0.245852466
0.09095307348
0.1533271889
0.496190019
0.02787395001
0.532904438
0.07001673656
0.005845812085
1.829155455
0.5200477128
0.1594914861
0.001849786607
0.3085127187
0.5084821984
0.156626696
0.1738146651
0.03972360967
0.1642066049
0.04726987678
0.00001620293885
0.4304347444
1.095476843
0.08629203831
2.804711344
0.1899559315
1.192160769
0.03323522971
0.593974077
0.0556918784
0.01947922703
0.2444778197
0.1566501309
0.01348480868
0.6318035732
0.2140494619
0.5319606223
0.7407961641
1.715666591
0.09616952084
0.4148817322
0.05000408433
3.844197464
0.5046621888
0.5793699245
0.09913115398
2.313028469
0.3405883253
0.1315951507
0.06867165992
0.2798170357
0.03507262548
2.039186836
0.06352611887
2.436078389
1.012989635
0.0005479512294
0.05511490713
0.02212109266
3.228314347
1.044128455
1.071558939
5.532132223
1.573752791
0.01034813781
0.6281055787
0.4564707832
0.01932603185
0.2527740443
0.5548456471
0.001319425241
1.629925449
0.379760939
3.051649258
1.760151034
0.6091367909
0.4691407112
0.4357748948
0.3856750957
0.7883453757
0.1503243444
1.90235034
0.3763807308
0.7597596917
0.01416613087
0.5455000445
0.208140772
2.303943725
0.1756210536
0.1554314713
0.404098909
0.1378262138
0.2055955637
1.203576428
3.234052915
1.724918795
0.3643269805
2.702743857
0.5062172912
0.16282886
0.005625964078
0.2422024666
0.6989915059
1.046328573
2.260381381
0.8399131914
1.611056877
0.2695636567
0.09509701724
0.6406784438
1.371762233
0.1264169688
0.001987988608
0.3984699587
0.05002895721
0.9497018204
2.555160727
0.250822505
3.946713248
0.1841673949
0.09014775825
0.07255688903
1.841164854
2.046043824
0.01411179385
0.02152837804
0.06810982782
1.008193601
0.3813771311
0.2868433997

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	Big 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296609&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]

4 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=296609&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296609&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	4 seconds
R Server	Big Analytics Cloud Computing Center

Parameter	Estimated Value	Standard Deviation
df	0.963871100645428	0.0712323509338274

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
df & 0.963871100645428 & 0.0712323509338274 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296609&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]df[/C][C]0.963871100645428[/C][C]0.0712323509338274[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296609&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296609&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	0.963871100645428	0.0712323509338274

Figure 1

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Postscript link

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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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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code