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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, 01 Feb 2018 10:06:51 +0100
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/Feb/01/t1517476051grsgt49wptagfiz.htm/, Retrieved Sun, 28 Apr 2024 20:21:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=313858, Retrieved Sun, 28 Apr 2024 20:21:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Maximum-likelihood Fitting - Chi-squared Distribution] [] [2018-02-01 09:06:51] [e3b8e8605812b99d9df07da90fc692a1] [Current]
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Dataseries X:
10
9
12
14
6
13
12
13
6
12
10
9
12
7
10
11
15
10
12
10
12
11
11
12
15
12
11
9
11
11
9
15
12
9
12
12
9
9
11
12
12
12
12
6
11
12
9
11
9
10
10
9
12
11
9
9
12
6
10
12
11
14
8
9
10
10
10
11
10
12
14
10
8
8
7
11
6
9
12
12
12
9
15
15
13
9
12
9
15
11
11
6
14
11
8
10
10
9
8
9
10
11
14
12
9
13
8
12
14
9
10
12
12
9
9
12
15
12
11
8
11
11
10
12
9
11
15
14
6
9
9
8
7
10
6
9
9
7
11
9
12
9
10
11
7
12
8
13
11
11
12
11
12
3
10
13
10
6
11
12
9
10
15
9
6
9
15
15
9
11
9
11
10
9
6
12
13
12
12




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time5 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 time5 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313858&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]5 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=313858&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313858&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 time5 seconds
R ServerBig Analytics Cloud Computing Center







ParameterEstimated ValueStandard Deviation
df11.2165497740640.338396700468614

\begin{tabular}{lllllllll}
\hline
Parameter & Estimated Value & Standard Deviation \tabularnewline
df & 11.216549774064 & 0.338396700468614 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=313858&T=1

[TABLE]
[ROW][C]Parameter[/C][C]Estimated Value[/C][C]Standard Deviation[/C][/ROW]
[ROW][C]df[/C][C]11.216549774064[/C][C]0.338396700468614[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=313858&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=313858&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
df11.2165497740640.338396700468614



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')