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Notes: Week 2
- White Paper One: Give a brief (3 mins or so) oral summary of your major findings. Include in your summary one of the pieces of research that you found most interesting. Give author, date, title, journal, etc. What ideas for your term project (either a funding proposal or curriculum piece) are prompted by your White Paper One?
- Probabilistic modeling
Chapter Two of the textbook. More of experimental (as opposed to analytical) approaches to problem solving.Explanation in terms of the Cereal Box Problem:
Empirical approach: Define a model, conduct trials, collect data to solve the problem.
Analytical approach: Define a sample space, construct tree diagrams, use formulas to solve the problem. For more of an analytical (theoretical) solution, see http://www.mste.uiuc.edu/reese/cereal/intro.htmlSources of random data:
The old days: http://www.rand.org/publications/classics/randomdigits/
Now a days: for example, Excel. We will look at this during class.
Question 1: Produce a source of equally likely digits in the interval (for example) 1 to K (like, in the Cereal box problem, there are eight different colored pens, what is K?) Question 2: Produce of source of data that are, say, normally distributed in a given interval (like, for example, the amount of time required to check out a customer out at Schnucks). - Statistics
Adam's test data. Transform to a set of data having a specified mean and spread (we will need this idea when we talk about generating sparrows NOT sitting on a telephone line--that is, we will move from data in one dimension to data in two dimensions, like X and Y.
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- Dynamic modeling
Download Stella as per my message to you of 2/03/02. Try the exercises on the sheet in the Maryland Virtual High School folder titled, 'How to build a model' (constructs a model for weekly earning and expenditures...) - White Paper 2