
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
June 23rd, 2012, 08:51 AM  #1 
Newbie Joined: Jun 2012 Posts: 1 Thanks: 0  Combining 2 data sets
Sorry the title is ambiguous but I don't know what one would call these types of data sets. The situation is effectively this: There is a 10 sided weighted die which 2 people have rolled. For one person it is impossible for them to roll 1 or 2, for another person it is impossible to roll 3 or 4 however the weights of 510 are constant on both dice. I have frequency data submitted by each person, the reason behind combining them is to firstly get a better idea of the relative weights of 510, and secondly to see the weights of 14 in one set. 
August 10th, 2012, 02:32 AM  #2 
Senior Member Joined: Aug 2012 Posts: 229 Thanks: 3  Re: Combining 2 data sets
Hey Shakarii. You can create a random variable by taking the cartesian product of both random variables A X B Where A is the state space for 1st player and B is for 2nd player. You then have to define your random variable as a function of the two: for example the sum of the two rolls would be X = A + B. Since both rolls are independent we know that P(A and B) = P(A)P(B) (we assume independence to make things easier). Then if we want to find moments we use expectation formulas over the two variables. If you want the probability distribution for X = A + B (i.e. PDF of X) then you need to use what is called a Probability Generating Function. Have you come across this? 

Tags 
combining, data, sets 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Two data sets fitting  Simon39  Abstract Algebra  4  November 29th, 2013 09:41 PM 
Interpolation of larga data sets  godric  Real Analysis  1  August 31st, 2012 05:53 AM 
Math  Data Management problem involving sets and subsets.  police1.police2  Algebra  1  December 16th, 2011 12:57 PM 
Help on comparing differing sets of data  carter22  Algebra  2  March 1st, 2010 05:49 PM 
Comparing multiple data sets with different n values  cboldon  Advanced Statistics  2  April 7th, 2008 03:01 PM 