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1: \label{Numerical_Response_Randomization} 2: 3: For LON-CAPA, one of the most important functions is the \texttt{random} 4: function. Random takes three parameters: a \emph{lower limit}, an \emph{upper 5: limit}, and an \emph{interval}. The \texttt{\&random} function returns a 6: random value between the upper and lower limit, some integer number of \emph{interval}'s 7: away from the lower limit. Thus, for example, \texttt{\&random(1,2,.2)} might 8: return 1, 1.2, 1.4, 1.6, 1.8, or 2. \texttt{\&random} uses a uniform distribution. 9: Other distributions are available in LON-CAPA, and can be found by consulting 10: the function list. 11: 12: % 13: \begin{figure} 14: \begin{lyxcode} 15: \$a~=~\&random(1.0,10.0,1.0); 16: 17: \$b~=~\&random(-10.0,~-3.0,~1.0); 18: 19: \$answer~=~\$a+\$b; 20: \end{lyxcode} 21: 22: \caption{Sample \texttt{random} Calls \label{Sample Random Calls figure}} 23: \end{figure} 24: If you put the script in ``Sample Random Calls'' into the 25: \textbf{Script} block (replacing whatever contents might be in the block 26: already), you'll get two random variables \$a and \$b. Now, in the \textbf{Text 27: Block}, put {}``What is \$a plus \$b?'', and in the \textbf{Answer} put 28: {}``\$answer'', without the quotes for either of them. (It is a good idea 29: to create a variable to hold the answer and call it \$answer, or some other 30: reasonably standard name. Do not try to compute the answer in the \textbf{Answer} 31: field itself; it will not work as you expect.) Now save the problem and \textbf{View} 32: it. You'll see a randomized problem. 33: 34: For each student, the same random number will be used each time they visit 35: the problem, but each student will get different random numbers. For any 36: but the simplest random problems, you'll want to see several random problems 37: to make sure everything is working out correctly. This is what the \textbf{Random 38: Seed\index{Random Seed}} field is for. To see another randomized version 39: of the problem you've just created, put another number into the \textbf{Random 40: Seed} field and hit \textbf{Change}. It doesn't really matter what number 41: you put into the field. But for any given \textbf{Random Seed} with the same 42: problem, you'll see the same randomized problem generated for you. (If you 43: change the \textbf{Script}, you are no longer guaranteed to get the same 44: problem.)