Shikhar Mishra

@ayushpatnaikgit Should we 1. Integrate Hartley Rao variance with `SurveyDesign`. So that the four summary statistics return _some_ variance (instead of nothing) 2. add tests here Discussing and adding the...

> We need to update all the functions and think carefully. How about: > > ``` > abstract type ReplicateDesign end > > struct BootstrapDesign end > > struct JackknifeDesign...

> I haven't looked through the code too much, but a partial solution presents itself: > > ```julia > abstract type AbstractSurveyDesign end > > struct SurveyDesign ... > end...

SAS does Taylor series for proportions and frequency tables, see documentation [here](https://documentation.sas.com/doc/en/pgmsascdc/9.4_3.4/statug/statug_surveyfreq_details19.htm). They also give example of variance estimation using ratio method [here](https://documentation.sas.com/doc/en/pgmsascdc/9.4_3.4/statug/statug_surveyfreq_details38.htm). Perhaps possible to test this formulae with...

Chapter 9 of Lohr is also a very good resource with simple explanations and key formulae. Less mathematical clutter than Sarndal (1992).

Can look into Rao-Wu bootstrap, this is the [paper](https://www.jstor.org/stable/2288945).

[Ben Schneider's blog post](https://www.practicalsignificance.com/posts/understanding-the-survey-packages-recursive-algorithm/) explains how R survey recursive variance estimation works! Other posts on the blog also useful for supporting functions

SAS surveymeans procedure [documentation](https://go.documentation.sas.com/doc/en/pgmsascdc/9.4_3.4/statug/statug_surveymeans_details06.htm#statug.surveymeans.vartotaldetails) has the formulae and explanations on the mathematical details.

@sayantikaSSG please summarise your thoughts, research and analysis that you do on this topic here.

[Comparison of variance estimation methods in various Survey software](https://www.hcp.med.harvard.edu/statistics/survey-soft/METHODS.html). This lists what the different packages support by default @ayushpatnaikgit @sayantikaSSG