fitBetaCorrBin: Fitting the Beta-Correlated Binomial Distribution when...

Description Usage Arguments Details Value References Examples

View source: R/BetaCorrBin.R

Description

The function will fit the Beta-Correlated binomial Distribution when random variables, corresponding frequencies, covariance, alpha and beta parameters are given. It will provide the expected frequencies, chi-squared test statistics value, p value, and degree of freedom so that it can be seen if this distribution fits the data.

Usage

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fitBetaCorrBin(x,obs.freq,cov,a,b,print)

Arguments

x

vector of binomial random variables

obs.freq

vector of frequencies

cov

single value for covariance

a

single value for alpha parameter

b

single value for beta parameter

print

logical value for print or not

Details

obs.freq ≥ 0

x = 0,1,2,..

-∞ < cov < +∞

0 < a,b

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

Value

The output of fitBetaCorrBin 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

df degree of freedom

p.value probability value by chi-squared test statistic

corr Correlation value

References

Paul, S.R., 1985. A three-parameter generalization of the binomial distribution. Communications in Statistics - Theory and Methods, 14(6), pp.1497-1506.

Available at: http://www.tandfonline.com/doi/abs/10.1080/03610928508828990 .

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

#estimating the parameters using maximum log likelihood value and assigning it
parameters=suppressWarnings(bbmle::mle2(EstMLEBetaCorrBin,start = list(cov=0.0050,a=10,b=10),
           data = list(x=No.D.D,freq=Obs.fre.1)))
covBetaCorrBin=bbmle::coef(parameters)[1]
aBetaCorrBin=bbmle::coef(parameters)[2]
bBetaCorrBin=bbmle::coef(parameters)[3]
#fitting when the random variable,frequencies,covariance, a and b are given
fitBetaCorrBin(No.D.D,Obs.fre.1,covBetaCorrBin,aBetaCorrBin,bBetaCorrBin)
#extracting the expected frequencies
fitBetaCorrBin(No.D.D,Obs.fre.1,covBetaCorrBin,aBetaCorrBin,bBetaCorrBin,FALSE)$exp.freq

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