Factor analysis of a function with binary output

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I have a data set and I am interested in determining which factors of this data set contribute most to the output. The data set varies by multiple factors $X_1$, $X_2$, .... $X_n$, and the function produces an outcome $F$($X_1$,$X_2$,...$X_n$)=$1$ or $0$. $X_1$ and the other variables are typically limited to taking on 1-5 different values. However, these values are not numeric, they can sometimes be strings representing a location or something else. I am looking for a way to quantify which of the variables are most important in determining the outcome of the function.



I have tried assigning the values that each of the random factors $X_1$, $X_2$, .... $X_n$ can take to vectors, but a possible problem is the dimension of each random factor may differ. Is there anyway to determine the importance of these variables on the general function?



(by importance I mean something in the way of principal component analysis or sensitivity of the function to those factors)







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    I have a data set and I am interested in determining which factors of this data set contribute most to the output. The data set varies by multiple factors $X_1$, $X_2$, .... $X_n$, and the function produces an outcome $F$($X_1$,$X_2$,...$X_n$)=$1$ or $0$. $X_1$ and the other variables are typically limited to taking on 1-5 different values. However, these values are not numeric, they can sometimes be strings representing a location or something else. I am looking for a way to quantify which of the variables are most important in determining the outcome of the function.



    I have tried assigning the values that each of the random factors $X_1$, $X_2$, .... $X_n$ can take to vectors, but a possible problem is the dimension of each random factor may differ. Is there anyway to determine the importance of these variables on the general function?



    (by importance I mean something in the way of principal component analysis or sensitivity of the function to those factors)







    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I have a data set and I am interested in determining which factors of this data set contribute most to the output. The data set varies by multiple factors $X_1$, $X_2$, .... $X_n$, and the function produces an outcome $F$($X_1$,$X_2$,...$X_n$)=$1$ or $0$. $X_1$ and the other variables are typically limited to taking on 1-5 different values. However, these values are not numeric, they can sometimes be strings representing a location or something else. I am looking for a way to quantify which of the variables are most important in determining the outcome of the function.



      I have tried assigning the values that each of the random factors $X_1$, $X_2$, .... $X_n$ can take to vectors, but a possible problem is the dimension of each random factor may differ. Is there anyway to determine the importance of these variables on the general function?



      (by importance I mean something in the way of principal component analysis or sensitivity of the function to those factors)







      share|cite|improve this question













      I have a data set and I am interested in determining which factors of this data set contribute most to the output. The data set varies by multiple factors $X_1$, $X_2$, .... $X_n$, and the function produces an outcome $F$($X_1$,$X_2$,...$X_n$)=$1$ or $0$. $X_1$ and the other variables are typically limited to taking on 1-5 different values. However, these values are not numeric, they can sometimes be strings representing a location or something else. I am looking for a way to quantify which of the variables are most important in determining the outcome of the function.



      I have tried assigning the values that each of the random factors $X_1$, $X_2$, .... $X_n$ can take to vectors, but a possible problem is the dimension of each random factor may differ. Is there anyway to determine the importance of these variables on the general function?



      (by importance I mean something in the way of principal component analysis or sensitivity of the function to those factors)









      share|cite|improve this question












      share|cite|improve this question




      share|cite|improve this question








      edited Aug 6 at 5:29
























      asked Aug 6 at 2:58









      Bruce Cunningham

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