fitMultiBin: Fitting the Multiplicative Binomial Distribution when...

Description Usage Arguments Details Value References See Also Examples

View source: R/MultiBin.R

Description

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

Usage

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fitMultiBin(x,obs.freq,p,theta,print)

Arguments

x

vector of binomial random variables

obs.freq

vector of frequencies

p

single value for probability of success

theta

single value for theta parameter

print

logical value for print or not

Details

obs.freq ≥ 0

x = 0,1,2,..

0 < p < 1

0 < theta

Value

The output of fitMultiBin 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

References

Johnson, N. L., Kemp, A. W., & Kotz, S. (2005). Univariate discrete distributions (Vol. 444). Hoboken, NJ: Wiley-Interscience.

L. L. Kupper, J.K.H., 1978. The Use of a Correlated Binomial Model for the Analysis of Certain Toxicological Experiments. Biometrics, 34(1), pp.69-76.

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 .

See Also

mle2

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(EstMLEMultiBin,start = list(p=0.1,theta=.3),
          data = list(x=No.D.D,freq=Obs.fre.1)))
pMultiBin=bbmle::coef(parameters)[1]    #assigning the estimated probability value
thetaMultiBin=bbmle::coef(parameters)[2]  #assigning the estimated theta value

#fitting when the random variable,frequencies,probability and theta are given
fitMultiBin(No.D.D,Obs.fre.1,pMultiBin,thetaMultiBin)

#extracting the expected frequencies
fitMultiBin(No.D.D,Obs.fre.1,pMultiBin,thetaMultiBin,FALSE)$exp.freq

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