Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



"standard computer output"
Posted:
Sep 13, 1996 10:53 AM


The use on the AP exam of "standard computer output" (whether minitab or other) raises a problem for those contemplating a resampling/simulation approach to statistics.
Resampling procedures (Monte Carlo, permutation, bootstrap) can be used to solve the same problems that formulas (t tests, chisquare tests, etc.) solve, except proceeding from a more general base (specify the population of interest, constitute a simulated representation of it, draw "resamples", observe the behavior of those resamples).
This gives students an easily understood tool for solving problems (not just illustrating them). Our work has shown that students do better, understand more, retain more and have a more positive attitude towards statistics when taught resampling than when taught conventionally. And there is no theoretical reason why resampling (in and of itself) should not serve as an appropriate alternative (or supplement) to ttests, etc.
The AP exam's requirement that students interpret "standard computer output", however, is likely to discourage AP teachers from even considering a resampling/simulation approach (whatever its technical and pedagogical merits)  resampling is seen as an added burden that must be borne.
If it were universally agreed that "standard computer output" of canned tests (ttests, etc.) were an essential feature of understanding statistics AND WOULD REMAIN SO, this would not be an issue.
This is not so, however  resampling can get the job done (and I would say better) without those formulas.
If I'm right, how will we ever know unless students are allowed to learn this way? And what teacher is going to teach them this way if they must learn "standard computer output" anyhow?
I recognize the desire to create an exam that tests what are commonly regarded as the "must know" features of a field. The question is "When innovation occurs (in this case, the advent of computerintensive resampling & simulation methods), how do you keep the exam itself from becoming an obstacle to integrating that innovation into the classroom?
Peter Bruce
Disclosure: I have taught resampling statistics at the University of Maryland, and am a principal in Resampling Stats, a small firm that makes software to do resampling.
> >I have a question about the use of Minitab output on the AP Statistics >exam. > >Now that the TI83 is available, it is possible to teach a >"technologically correct" introductory statistics course without >using a computer at all. > >How important it is for students to use Minitab or see Minitab output, >since such output may appear on the exam? For most statistical tests, the >TI83 output is different in appearance from Minitab, although the important >values are usually provided in both settings. > >Would it be reasonable for an AP Statistics course to be taught using the >TI83 exclusively, or would the students pay a penalty on the exam for >not having been exposed to Minitab? > >How would the answer to these questions change if the word "Minitab" is >replaced by "some statistical software package" or the name of a specific >statistical software package other than Minitab? > >Thanks for your time. > >Tom Short >Villanova University > > > >++ > Thomas H. Short  > Department of Mathematical Sciences Phone : (610) 5196961  > Villanova University Fax : (610) 5196928  > 800 Lancaster Ave. Email: short@monet.vill.edu  > Villanova, PA 190851699  >  > World Wide Web: http://renoir.vill.edu/~short/  >++ > >



