As per the help pages, the data samples are expected in the second argument, 
"y".

So try 
  qqplot(rbinom(n=100, size=100, p=0.05), count1_vector)

... and then plot your qqline()

Alternatively, try

qqline(count1_vector,
       distribution = function(probs) { qbinom(probs, size=100, prob=0.05) },
       datax = TRUE, # <- logical. Should data values be on the x-axis?
       col = "red",
       lwd = 0.5)
... and use your original qqplot()


B.


> On Apr 18, 2017, at 12:47 AM, Ashim Kapoor <ashimkap...@gmail.com> wrote:
> 
> Dear Boris,
> 
> Thank you for your reply. 
> 
> > dput(count1_vector)
> c(5, 6, 4, 4, 6, 5, 4, 5, 3, 7, 5, 5, 3, 4, 8, 6, 10, 2, 4, 6, 
> 8, 4, 4, 6, 8, 5, 6, 3, 7, 9, 4, 7, 5, 7, 3, 4, 5, 2, 11, 7, 
> 8, 5, 5, 6, 3, 2, 3, 5, 9, 6, 5, 6, 7, 3, 10, 7, 6, 4, 9, 5, 
> 7, 3, 7, 3, 2, 3, 4, 5, 10, 4, 5, 5, 6, 7, 4, 8, 7, 5, 5, 4, 
> 8, 7, 9, 4, 4, 4, 7, 5, 4, 10, 4, 5, 6, 1, 3, 5, 4, 7, 4, 6)
> 
> set.seed(123)
> qqplot(count1_vector,rbinom(n=100,size=100,p=.05))
> qqline(count1_vector,distribution = function(probs) { qbinom(probs, size=100, 
> prob=0.05) },
>        col = "red",
>        lwd = 0.5)
> 
> When I do this, the line does not pass through the center of my data.I do 
> expect count1_vector to be 100 samples of binomial with n=100 and p=.05. 
> 
> Any comments or suggestions for me ? 
> 
> Note : I built a 95% Confidence interval for my data and I counted how often 
> out of 100 times did the data fall outside the CI.This I expect to be 
> binomial with n=100,p=.05. I repeated this a 100 times and obtained 
> count1_vector.
> 
> Best Regards,
> Ashim. 
> 
> 
> On Mon, Apr 17, 2017 at 7:51 PM, Boris Steipe <boris.ste...@utoronto.ca> 
> wrote:
> That's not how qqline() works. The line is drawn with respect to a 
> _reference_distribution_ which is the normal distribution by default. For the 
> binomial distribution, you need to specify the distribution argument. There 
> is an example in the help page that shows you how this is done for qchisq(). 
> for qbinom() it is:
> 
> 
> set.seed(123)
> qqplot(rbinom(n=100, size=100, p=0.05),
>        rbinom(n=100, size=100, p=0.05) )
> 
> qqline(rbinom(n=100,size=100,p=.05),
>        distribution = function(probs) { qbinom(probs, size=100, prob=0.05) },
>        col = "red",
>        lwd = 0.5)
> 
> 
> 
> 
> B.
> 
> 
> > On Apr 17, 2017, at 9:15 AM, Ashim Kapoor <ashimkap...@gmail.com> wrote:
> >
> > Dear Spencer,
> >
> > Okay. Many thanks. My next query is how do I use qqline?
> >
> > When I try
> >
> >> qqline(rbinom(n=100,size=100,p=.05))
> >
> > I don't get the line in the right place.
> >
> > Best Regards,
> > Ashim
> >
> > On Mon, Apr 17, 2017 at 6:31 PM, Spencer Graves <
> > spencer.gra...@effectivedefense.org> wrote:
> >
> >>
> >>
> >> On 2017-04-17 7:58 AM, Ashim Kapoor wrote:
> >>
> >>> Dear All,
> >>>
> >>> set.seed(123)
> >>> qqplot(rbinom(n=100,size=100,p=.05), rbinom(n=100,size=100,p=.05) )
> >>>
> >>> I expect to see 1 clear line,but I don't. What am I misunderstanding?
> >>>
> >>
> >>
> >>      The distribution is discrete, and points are superimposed. Try the
> >> following:
> >>
> >>
> >> set.seed(123)
> >> qqplot(jitter(rbinom(n=100,size=100,p=.05)),
> >>       jitter(rbinom(n=100,size=100,p=.05) ))
> >>
> >>
> >>      Spencer Graves
> >>
> >>>
> >>> Best Regards,
> >>> Ashim
> >>>
> >>>        [[alternative HTML version deleted]]
> >>>
> >>> ______________________________________________
> >>> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
> >>> https://stat.ethz.ch/mailman/listinfo/r-help
> >>> PLEASE do read the posting guide http://www.R-project.org/posti
> >>> ng-guide.html
> >>> and provide commented, minimal, self-contained, reproducible code.
> >>>
> >>
> >> ______________________________________________
> >> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
> >> https://stat.ethz.ch/mailman/listinfo/r-help
> >> PLEASE do read the posting guide http://www.R-project.org/posti
> >> ng-guide.html
> >> and provide commented, minimal, self-contained, reproducible code.
> >>
> >
> >       [[alternative HTML version deleted]]
> >
> > ______________________________________________
> > R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
> > https://stat.ethz.ch/mailman/listinfo/r-help
> > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> > and provide commented, minimal, self-contained, reproducible code.
> 
> 

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