ScotlandsPeople seems to have changed frequently over the last 15 or more years. It comes as no surprise that the example in section 9.56 of my 3rd ed. copy of EE doesn't help to cite the current website structure.
There is no longer a, “Statutory Births 1855–2013,” collection. It has been renamed.
To reach the relevant search page, one now needs to select Advanced Search > Statutory Registers > Births from the main URL, https://www.scotlandspeople.gov.uk.
Once there, the search-page title is simply, "Births".
So; would the following citation make sense?
(I assume that the page number (p. 280) or entry number (entry no. 838) need not be included, since the entry number already forms part of the cited reference number.)
Source List Entry
“Statutory Registers—Births.” Database and images. ScotlandsPeople. http://www.scotlandspeople.gov.uk : 2019.
First Reference Note
“Statutory Registers—Births,” database and images, ScotlandsPeople (http://www.scotlandspeople.gov.uk : downloaded 16 March 2003), image, birth registration, Charles Murison, born 19 November 1891, registered 9 December 1891, District of Plantation, County of Lanark; citing Statutory Birth Registers no. 646/1 838.
“Statutory Registers—Births,” ScotlandsPeople, image, birth registration, Charles Murison, born 19 November 1891, registered 9 December 1891, Plantation, Lanark.