# What distribution does my data has?

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?

This is density plot This is a simple plot of data using qplot function from ggplot package in R 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.

• Please let me know if I'm on to something. I am just an "enthusiast" myself. – Antoni Parellada Sep 14 '16 at 3:22
• @AntoniParellada Thanks! I added a bit more detail. – Enthusiast Sep 14 '16 at 5:22
• Gamma and log normal are very similar distributions. There is a great post on CV by Glen_b. – Antoni Parellada Sep 14 '16 at 5:32
• awesome! can you please share the link of that discussion? – Enthusiast Sep 14 '16 at 5:33
• Here – Antoni Parellada Sep 14 '16 at 5:35