I usually find my students appreciate it when I teach them something that has 
utility in multiple contexts. Teaching them how to express an idea in R code is 
valuable. And as far as structuring thought and expressing ideas go, it's quite 
equivalent to symbolic equations. Both are just notation.

$ 0.02
Cheers,
B.


On Nov 20, 2014, at 2:35 PM, Scott Rifkin <sarif...@ucsd.edu> wrote:

> Ista,
> 
> On the one hand I'd like it to be as flexible as possible so the students 
> could really come up with whatever they like.  On the other hand, restricting 
> their choices probably would make it easier to do the backend.  The goal 
> would be to get them to realize that the apparatus of hypothesis testing 
> (when done via simulation/randomization techniques) doesn't depend on what 
> the statistic is. The flow of steps is the same whether the statistic is a 
> mean, variance, or their own kooky thing. Obviously this isn't the end of the 
> story - what the statistic is actually describing is also a crucial component 
> to interpreting the results of a hypothesis test, but I think it teaches an 
> important pedagogical point about where statistics come from and that if they 
> find themselves in a situation in the future where they need to make up their 
> own, then that is perfectly okay.
> 
> So they could make up ones like:  arctan( (max({x})^2)/ (min({x})^2) )-3), 
> max({x})-min({x}), sum from i to n of (x_i - 25th%ile({x}) )^3)  [that might 
> be tricky to write in a standard equation editor]
> none of these is hard to write in R, but translating from an equation editor 
> might be.
> 
> Perhaps the best solution is (as Alan suggests below) to write a Shiny 
> function builder myself so that I can control the whole process and make sure 
> that they can't enter anything that would break the backend.  Or to have them 
> learn the rudiments of writing equations in R so that it bypasses the whole 
> process.
> 
> Thanks,
> Scott
> 
> 
> 
> On 11/19/14 1:52 PM, Ista Zahn wrote:
>> Hi Scott,
>> 
>> Can you give a couple of examples of the equations you have in mind
>> along with how those should be translated to R?
>> 
>> Thanks,
>> Ista
>> 
> 
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