I have total tickets sold data from a single movie theater at a daily level. Its 2 years daily data for every single show date. I did Anderson-Darling test using ad.test() in nortest package in R and it results came significant which means this is not normal distribution as per this tutorial. Is it binomial by any chance? Or what is it?
Can anyone suggest what distribution this variable has? To a naked eye, second and third plot looks like a right skewed/right tailed distribution. I want to use this for regression and want to be sure of the distribution so that i can proceed further.
Edit: I found an R package fitdistrplus and used fitdist() to test different distributions. Below is how qqplot looks like in each distribution and below are aic values
library(fitdistrplus) #gamma distribution fit.fg <- fitdist(data$Tot_ticket_sold, "gamma") #log normal fit.fln <- fitdist(data$Tot_ticket_sold, "lnorm") #weibull fit.fw <- fitdist(data$Tot_ticket_sold, "weibull") #normal fit.fn <- fitdist(data$Tot_ticket_sold, "norm")
check qqplot and emperical and theoritical density to see what fits best
plot(fit.fg) plot(fit.fln) plot(fit.fw) plot(fit.fn)
find lowest aic
> fit.fg$aic  656590.6 > fit.fln$aic  664127.3 > fit.fw$aic  656753.2 > fit.fn$aic  691545.8
It looks like a gamma distribution.