# fitTriBin: Fitting the Triangular Binomial Distribution when binomial... In Amalan-ConStat/R-fitODBOD: Modeling Over Dispersed Binomial Outcome Data Using BMD and ABD

## 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

 `1` ```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.

## Examples

 ```1 2 3 4 5 6 7 8``` ```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.