This is an idea that just occurred to me. We have a large community of people who think about scientific problems recreationally, many of whom are in no position to go around investigating them. Hopefully, however, some other community members are in a position to go around investigating them, or know people who are. The idea here is to allow people to propose relatively specific ideas for experiments, which can be upvoted if people think they are wise, and can be commented on and refined by others. Grouping them together in an easily identifiable, organized way in which people can provide approval and suggestions seems like it may actually help advance human knowledge, and with its high sanity waterline and (kind of) diverse group of readers, this community seems like an excellent place to implement this idea.
These should be relatively practical, with an eye towards providing some aspiring grad student or professor with enough of an idea that they could go implement it. You should explain the general field (physics, AI, evolutionary psychology, economics, psychology, etc.) as well as the question the experiment is designed to investigate, in as much detail as you are reasonably capable of.
If this is a popular idea, a new thread can be started every time one of these reaches 500 comments, or quarterly, depending on its popularity. I expect this to provide help for people refining their understanding of various sciences, and if it ever gets turned into even a few good experiments, it will prove immensely worthwhile.
I think it's best to make these distinct from the general discussion thread because they have a very narrow purpose. I'll post an idea or two of my own to get things started. I'd also encourage people to post not only experiment ideas, but criticism and suggestions regarding this thread concept. I'd also suggest that people upvote or downvote this post if they think this is a good or bad idea, to better establish whether future implementations will be worthwhile.
I'd appreciate practical advice on how to do that in R/RStudio. I have data from an empirical study, loaded in RStudio as "29 observations of 8 variables". My variables are "Who, T1, T2, T3 (etc)" where "Who" is programmer id and T1, etc. are the times taken for tasks 1 through 8.
What R command will give me a multiple regression of times over programmer id and task id?
[ETA: OK, I figure what I've got to do is make this a data frame with 3 variables, those being Who, TaskId, Time. Right? Maybe I can figure it out. Worst case, I'll create a spreadsheet organized that way.]
[ETA2: I've done the above, but I don't know how to interpret the results. What do you expect to see - in terms of coefficients of regression?]
I think you need one variable per programmer (value 0 or 1), one variable per task (value 0 or 1), and one variable for time taken to complete the task (real number). So, with 8 tasks and 29 programmers, you have 38 (= 29 + 8 + 1) variables, all but 3 of which are zero for each observation. And you have 232 observations.
Since you have 37 independent variables, you will have 37 regression coefficients (each presumable in units of hours) plus one additional parameter that applies to all observations. The results claim that you get a good estimate of the time required for programmer j to complete task k by adding together the j-th programmer coefficient, the k-th task coefficient and the extra parameter.