Tag Archives: lab

Marc on Randomized Response

My name is Marc and I have an interest in randomized response which is a technique developed by Stanley Warner in 1965 that is used to obtain accurate results on surveys that ask delicate questions. For example, if you want to ask people in a classroom if they are sexually active, you can create a decoy question involving the flipping of a coin. The more delicate question can then be asked in tangent with this decoy question and nobody really knows if the participants are answering yes to the decoy question or the real question. This is done in order to make people feel more comfortable about their privacy. A program is used in this lab that simulates a randomized response survey.

One of the questions involves finding a function for a particular survey. By using a proportion concerning the number of yes answers versus the number of total answers, it is asked to find an equation that can help in estimating what the true number of yeses should be to the real question. Further questions build on determining how to uncover accurate results using the probabilities in possible answers from the real question and the decoy question.

I think this is a very useful lab for statistical analysis because you want people to be honest when gathering data but you simply cannot rely on honesty. Finding an accurate way to collect data while helping others to feel comfortable in being honest helps in gathering accurate data.

 

Marc and Prime Numbers

A lab that I found interesting in the textbook was the Prime Numbers lab. Prime numbers are numbers that cannot be divided by any number other than one and itself. Because any number can be written as a product of prime numbers, prime numbers are basically the building blocks of arithmetic. Even though one cannot be divided by any number other than itself, it is not considered a prime number due to mere convenience because every number would have one as one of its prime multipliers which would be tedious. Yay, simplicity!

One question in this lab involves finding a proof that there are infinitely many prime numbers. This has always been a complicated question in the realm of mathematics!

Because prime numbers are such a fundamental and important group of numbers, I find it interesting to learn more about them for it always leads to learning more about the natural numbers in general. I can’t wait to see what labs others are interested in on Wednesday!