# simulation studies

### Example 8.36: Quadratic equation with real roots

April 29, 2011 |

We often simulate data in SAS or R to confirm analytical results. For example, consider the following problem from the excellent text by Rice:Let U1, U2, and U3 be independent random variables uniform on [0, 1]. What is the probability that the roots... ### Example 8.28: should we buy snowstorm insurance?

February 28, 2011 |

It's been a long winter so far in New England, with many a snow storm. In this entry, we consider a simulation to complement the analytic solution for a probability problem concerning snow. Consider a company that buys a policy to insure its revenue ... ### Example 7.23: the Monty Hall problem

January 20, 2010 |

The Monty Hall problem illustrates a simple setting where intuition often leads to a solution different from formal reasoning. The situation is based on the game show Let's Make a Deal. First, Monty puts a prize behind one of three doors. Then the player chooses a door. Next, (without moving ... ### Example 7.21: Write a function to simulate categorical data

January 8, 2010 |

In example 7.20, we showed how to simulate categorical data. But we might anticipate needing to do that frequently. If a SAS function weren't built in and an equivalent R function not available in a package, we could build them from scratch.SASThe SAS code is particularly tortured, since we must ... ### Example 7.20: Simulate categorical data

January 4, 2010 |

Both SAS and R provide means of simulating categorical data (see section 1.10.4). Alternatively, it is trivial to write code to do this directly. In this entry, we show how to do it once. In a future entry, we'll demonstrate writing a SAS Macro (section A.8.1) and a function in R (...  