Physics307L F09:People/sosa/Poisson
Poisson Statistics Lab  <html><img src="/images/9/94/Report.png" border="0" /></html> Notebook 
ObjectivesLab Partner: Manuel Franco In this lab we are going to detect random cosmic rays using the PMT and then we will see if those events fit the Poisson distribution. We will also learn how the Poisson distribution relates to the Normal and Binomial distributions. Equipment
Some images of the materials used^{SJK 12:07, 11 November 2008 (EST)}ProcedureFirst we familiarized ourselves with the instruments. We located the PMT and the scintillator which are one single unit. We then observed the high voltage power source and we set it up to 1000 V as suggested in the manual. We the proceed to manipulate the MCA to set it up in the MCS(Multichannel Scaling). We saw that the hydra cable was already ready. Then we started to manipulate the software and learn how to use. After mastering the use of the software we proceed to take many measurements. DataAll the colected data can be accesed in my notebook notes Data AnalysisThe excel spreadsheet used to analize the data can be found here. File:PoissonCalculations.xlsx 100 ms, 512 bins. 80 ms, 1024 bins. 800 ms, 256 bins. 1ms,256 bins.^{SJK 12:48, 11 November 2008 (EST)} ConclusionI don't really now if the graphs are correct since our we realized in the lab that the detection of cosmic rays was seriously flawed. However we can observe that some graphs do fit really well. I am not quite sure why this is, maybe just a coincidence. Anyway, even though our measurments were not the best, it does not prevent me for learning something. So here are some of the things I learned:
data fits a poisson distribution if the standard deviation of the data is equal or close to the standard deviation of the average. ^{SJK 12:25, 11 November 2008 (EST)}
Referenceshttp://en.wikipedia.org/wiki/Poisson_distribution Dr. Gold's manual. I based my analysis of the Poisson distribution on Annie's(from last year)analysis.
