fitTriBin: Fitting the Triangular Binomial Distribution when binomial...

Description Usage Arguments Details Value References Examples

View source: R/Triangle.R

Description

The function will fit the triangular binomial distribution when random variables, corresponding frequencies and mode parameter are given. It will provide the expected frequencies, chi-squared test statistics value, p value, degree of freedom and over dispersion value so that it can be seen if this distribution fits the data.

Usage

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fitTriBin(x,obs.freq,mode,print)

Arguments

x

vector of binomial random variables

obs.freq

vector of frequencies

mode

single value for mode

print

logical value for print or not

Details

0 < mode=c < 1

x = 0,1,2,...

0 < mode < 1

obs.freq ≥ 0

NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.

Value

The output of fitTriBin gives a list format consisting

bin.ran.var binomial random variables

obs.freq corresponding observed frequencies

exp.freq corresponding expected frequencies

statistic chi-squared test statistics value

df degree of freedom

p.value probability value by chi-squared test statistic

over.dis.para over dispersion value.

References

Horsnell, G. (1957). Economic acceptance sampling schemes. Journal of the Royal Statistical Society, Series A, 120:148-191.

Karlis, D. & Xekalaki, E., 2008. The Polygonal Distribution. In Advances in Mathematical and Statistical Modeling. Boston: Birkhuser Boston, pp. 21-33.

Available at: http://dx.doi.org/10.1007/978-0-8176-4626-4_2 .

Okagbue, H. et al., 2014. Using the Average of the Extreme Values of a Triangular Distribution for a Transformation, and Its Approximant via the Continuous Uniform Distribution. British Journal of Mathematics & Computer Science, 4(24), pp.3497-3507.

Available at: http://www.sciencedomain.org/abstract.php?iid=699&id=6&aid=6427 .

Examples

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No.D.D=0:7      #assigning the random variables
Obs.fre.1=c(47,54,43,40,40,41,39,95)  #assigning the corresponding frequencies

modeTriBin=EstMLETriBin(No.D.D,Obs.fre.1)$mode  #assigning the extracted the mode value
#fitting when the random variable,frequencies,mode value are given.
fitTriBin(No.D.D,Obs.fre.1,modeTriBin)

fitTriBin(No.D.D,Obs.fre.1,modeTriBin,FALSE)$exp.freq  #extracting the expected frequencies

Amalan-ConStat/R-fitODBOD documentation built on Oct. 1, 2018, 7:13 p.m.