R/permDcor.R

In MXM: Feature Selection (Including Multiple Solutions) and Bayesian Networks

permDcor = function(target, dataset, xIndex, csIndex, wei = NULL, statistic = FALSE, univariateModels=NULL, hash = FALSE, stat_hash = NULL,
                      pvalue_hash = NULL, threshold = 0.05, R = 499)  {
  # TESTINDFISHER Fisher Conditional Independence Test for continous class variables
  # PVALUE = TESTINDFISHER(Y, DATA, XINDEX, CSINDEX)
  # This test provides a p-value PVALUE for the NULL hypothesis H0 which is
  # X is independent by TARGET given CS. The pvalue is calculated following
  # Fisher's method (see reference below)
  # This method requires the following inputs
  #   TARGET: a numeric vector containing the values of the target (continuous) variable. 
  #   Its support can be R or any number betweeen 0 and 1, i.e. it contains proportions.
  #   DATASET: a numeric data matrix containing the variables for performing the test. They can be only be continuous variables. 
  #   XINDEX: the index of the variable whose association with the target we want to test. 
  #   CSINDEX: the indices if the variable to condition on. 
  # this method returns: the pvalue PVALUE, the statistic STAT.
  # Copyright 2012 Vincenzo Lagani and Ioannis Tsamardinos
  # R Implementation by Giorgos Athineou (10/2013)
  #if the test cannot performed succesfully these are the returned values
  pvalue = log(1)
  stat = 0;
  
  if ( !is.list(target) ) {
    
    n = length( target )
    csIndex[which(is.na(csIndex))] = 0;
    
    if ( hash )  {
      csIndex2 = csIndex[which(csIndex!=0)]
      csIndex2 = sort(csIndex2)
      xcs = c(xIndex,csIndex2)
      key = paste(as.character(xcs) , collapse=" ");
      
      if (is.null(stat_hash[key]) == FALSE) {
        stat = stat_hash[key];
        pvalue = pvalue_hash[key];
        results <- list(pvalue = pvalue, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
        return(results);
      }
    }
    #if the xIndex is contained in csIndex, x does not bring any new information with respect to cs
    if ( !is.na( match(xIndex, csIndex) ) ) {
      if ( hash ) {        #update hash objects
        stat_hash[key] <- 0;       #.set(stat_hash , key , 0)
        pvalue_hash[key] <- 1;     #.set(pvalue_hash , key , 1)
      }
      results <- list(pvalue = 1, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
      return(results);
    }
    #check input validity
    if ( any(xIndex < 0) || any(csIndex < 0) ) {
      message(paste("error in testIndFisher : wrong input of xIndex or csIndex"))
      results <- list(pvalue = pvalue, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
      return(results);
    }
    
    xIndex = unique(xIndex);
    csIndex = unique(csIndex);
    #extract the data
    x = dataset[ , xIndex];
    cs = dataset[ , csIndex];
    #That means that the x variable does not add more information to our model due to an exact copy of this in the cs, so it is independent from the target
    if ( length(cs) != 0 ) {
      if ( is.null(dim(cs)[2]) ) {     #cs is a vector
        if ( identical(x, cs) ) {    #if(!any(x == cs) == FALSE)
          if ( hash ) {        #update hash objects
            stat_hash[key] <- 0;         #.set(stat_hash , key , 0)
            pvalue_hash[key] <- 1;        #.set(pvalue_hash , key , 1)
          }
          results <- list(pvalue = 1, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
          return(results);
        }
      } else { #more than one var
        for (col in 1:dim(cs)[2]) {
          if ( identical(x, cs[, col]) )  {    #if(!any(x == cs) == FALSE)
            if ( hash )  {       #update hash objects
              stat_hash[key] <- 0;      #.set(stat_hash , key , 0)
              pvalue_hash[key] <- 1;         #.set(pvalue_hash , key , 1)
            }
            results <- list(pvalue = 1, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
            return(results);
          }
        }
      }
    }
    res <- tryCatch(
      {
        #if the conditioning set (cs) is empty, we use a simplified formula
        if (length(cs) == 0) {
          if ( !is.null(univariateModels) ) {
            pvalue = univariateModels$pvalue[[xIndex]];
            stat = univariateModels$stat[[xIndex]];
            results <- list(pvalue = pvalue, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
            return(results);
          }
          #compute the correlation coefficient between x,target directly
          mod <- energy::dcov.test(target, x, R = R)
          stat <- mod$statistic 
          pvalue <- mod$p.value
        } else {
          #perform the test with the cs
          mod <- energy::pdcor.test(target, x, cs, R)
          stat <- mod$statistic
          pvalue <- mod$p.value
        }
        #last error check
        if ( is.na(pvalue) || is.na(stat) ) {
          pvalue = log(1)
          stat = 0;
        } else {
          #update hash objects
          if( hash ) {
            stat_hash[key] <- stat;        #.set(stat_hash , key , stat)
            pvalue_hash[key] <- pvalue;        #.set(pvalue_hash , key , pvalue)
          }
        }
        results <- list(pvalue = pvalue, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
        return(results);
        
      },
      error=function(cond) {
        pvalue = log(1)
        stat = 0;
        results <- list(pvalue = pvalue, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
        return(results);
      },
      finally={}
    )  
    
    ###########################
    ## meta-analytic approach
    ###########################
    
  } else {  
    
    D = length(target)
    pva = numeric(D)
    
    aa <- list()
    
    for ( i in 1:D ) {
      
      targ = target[[ i ]]
      data = dataset[[ i ]]  
      
      n = length( targ )
      csIndex[which(is.na(csIndex))] = 0;
      
      if ( hash ) {
        csIndex2 = csIndex[which(csIndex!=0)]
        csIndex2 = sort(csIndex2)
        xcs = c(xIndex, csIndex2)
        key = paste(as.character(xcs) , collapse=" ");
        if (is.null(stat_hash[key]) == FALSE) {
          stat = stat_hash[key];
          pvalue = pvalue_hash[key];
          aa[[ i ]] <- list(pvalue = pvalue, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
        }
      }
      
      #if the xIndex is contained in csIndex, x does not bring any new
      #information with respect to cs
      if ( !is.na( match(xIndex, csIndex) ) ) { 
        if ( hash ) {    #update hash objects
          stat_hash[key] <- 0;    #.set(stat_hash , key , 0)
          pvalue_hash[key] <- 1;   #.set(pvalue_hash , key , 1)
        }
        aa[[ i ]] <- list(pvalue = 1, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
      }
      
      #check input validity
      if ( any(xIndex < 0) || any(csIndex < 0) ) {
        message(paste("error in testIndFisher : wrong input of xIndex or csIndex"))
        aa[[ i ]] <- list(pvalue = pvalue, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
      }
      
      xIndex = unique(xIndex);
      csIndex = unique(csIndex);
      x = data[ , xIndex];
      cs = data[ , csIndex];
      #That means that the x variable does not add more information to our model due to an exact copy of this in the cs, so it is independent from the target
      if ( length(cs) != 0 ) {
        if ( is.null( dim(cs )[2]) ) {  #cs is a vector
          if (any(x != cs) == FALSE)  {  #if(!any(x == cs) == FALSE)
            if ( hash )  {  #update hash objects
              stat_hash[key] <- 0;   #.set(stat_hash , key , 0)
              pvalue_hash[key] <- 1;   #.set(pvalue_hash , key , 1)
            }
            aa[[ i ]] <- list(pvalue = 1, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
          }
        } else { #more than one var
          for ( col in 1:ncol(cs) ) {
            if (any(x != cs[, col]) == FALSE) {   #if(!any(x == cs) == FALSE)
              if ( hash ) {    #update hash objects
                stat_hash[key] <- 0;       #.set(stat_hash , key , 0)
                pvalue_hash[key] <- 1;        #.set(pvalue_hash , key , 1)
              }
              aa[[ i ]] <- list(pvalue = 1, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
            }
          }
        }
      }
      
      #if x or target is constant then there is no point to perform the test
      if ( Rfast::Var(x)  == 0 ) {
        if ( hash )  {  #update hash objects
          stat_hash[key] <- 0;    #.set(stat_hash , key , 0)
          pvalue_hash[key] <- 1;    #.set(pvalue_hash , key , 1)
        }
        aa[[ i ]] <- list(pvalue = 1, stat = 0, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
      }
      
      #remove constant columns of cs
      cs = cs[, apply(cs, 2, var, na.rm=TRUE) != 0]
      
      aa[[ i ]] <- tryCatch(
        {
          #if the conditioning set (cs) is empty, we use a simplified formula
          if (length(cs) == 0)  {
            if ( !is.null(univariateModels) ) {
              pvalue = univariateModels$pvalue[[xIndex]];
              stat = univariateModels$stat[[xIndex]];
              results <- list(pvalue = pvalue, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
              return(results);
            }
            #compute the correlation coefficient between x, target directly

            mod <- energy::dcov.test(target, x, R = R)
            stat <- mod$statistic 
            pvalue <- mod$p.value
          } else {
            #perform the test with the cs
            mod <- energy::pdcor.test(target, x, cs, R)
            stat <- mod$statistic
            pvalue <- mod$p.value
          }
          #last error check
          if (is.na(pvalue) || is.na(stat) ) {
            pvalue = log(1)
            stat = 0;
          } else {
            
            if( hash ) {
              stat_hash[key] <- stat;    #.set(stat_hash , key , stat)
              pvalue_hash[key] <- pvalue;    #.set(pvalue_hash , key , pvalue)
            }
          }
          #testerrorcaseintrycatch(4);
          list(pvalue = pvalue, nu = n, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
        },
        
        error=function(cond) {
          #error case (we are pretty sure that the only error case is when x,cs are highly correlated and the inversion of the matrix is not possible)
          pvalue = log(1)
          stat = 0;
          list(pvalue = pvalue, nu = n, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
        },
        finally={}
      ) 
      
    }
    
    pva <- numeric(D) 
    for ( j in 1:D )   pva[j] = -2 * aa[[ j ]]$pvalue
    stat = sum(pva)
    pvalue = pchisq( stat, 2 * D, lower.tail = FALSE, log.p = TRUE ) 
    
    if ( hash ) {
      stat_hash[key] <- stat
      pvalue_hash[key] <- pvalue  
    }
    
    res = list(pvalue = pvalue, stat = stat, stat_hash=stat_hash, pvalue_hash=pvalue_hash);
  }
  
  return(res)
}