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## weka.associations
Class AprioriItemSet

    java.lang.Object
      weka.associations.ItemSet
          weka.associations.AprioriItemSet

All Implemented Interfaces:
  java.io.Serializable, RevisionHandler

    public class AprioriItemSet

extends ItemSet
implements java.io.Serializable, RevisionHandler

Class for storing a set of items. Item sets are stored in a lexicographic order, which is determined by the header information of the set of instances used for generating the set of items. All methods in this class assume that item sets are stored in lexicographic order. The class provides methods that are used in the Apriori algorithm to construct association rules.

Version:
  $Revision: 1.6 $
Author:
  Eibe Frank (eibe@cs.waikato.ac.nz), Stefan Mutter (mutter@cs.waikato.ac.nz)
See Also:
  Serialized Form

Constructor Summary
`AprioriItemSet(int totalTrans)` Constructor

Method Summary
`static double` | `confidenceForRule(AprioriItemSet premise, AprioriItemSet consequence)` Outputs the confidence for a rule.
`double` | `convictionForRule(AprioriItemSet premise, AprioriItemSet consequence, int premiseCount, int consequenceCount)` Outputs the conviction for a rule.
`FastVector[]` | `generateRules(double minConfidence, FastVector hashtables, int numItemsInSet)` Generates all rules for an item set.
`FastVector[]` | `generateRulesBruteForce(double minMetric, int metricType, FastVector hashtables, int numItemsInSet, int numTransactions, double significanceLevel)` Generates all significant rules for an item set.
`java.lang.String` | `getRevision()` Returns the revision string.
`double` | `leverageForRule(AprioriItemSet premise, AprioriItemSet consequence, int premiseCount, int consequenceCount)` Outputs the leverage for a rule.
`double` | `liftForRule(AprioriItemSet premise, AprioriItemSet consequence, int consequenceCount)` Outputs the lift for a rule.
`static FastVector` | `mergeAllItemSets(FastVector itemSets, int size, int totalTrans)` Merges all item sets in the set of (k-1)-item sets to create the (k)-item sets and updates the counters.
`static FastVector` | `singletons(Instances instances)` Converts the header info of the given set of instances into a set of item sets (singletons).
`AprioriItemSet` | `subtract(AprioriItemSet toSubtract)` Subtracts an item set from another one.
`java.lang.String` | `toString(Instances instances)` Returns the contents of an item set as a string.

Methods inherited from class weka.associations.ItemSet
`containedBy, counter, deleteItemSets, equals, getHashtable, hashCode, itemAt, items, pruneItemSets, pruneRules, setCounter, setItem, setItemAt, support, upDateCounter, upDateCounters`

Methods inherited from class java.lang.Object
`getClass, notify, notifyAll, toString, wait, wait, wait`

Constructor Detail

### AprioriItemSet

    public AprioriItemSet(int totalTrans)

  Constructor

  Parameters:
    `totalTrans` - the total number of transactions in the data

Method Detail

### confidenceForRule

    public static double confidenceForRule(AprioriItemSet premise,
                                           AprioriItemSet consequence)

  Outputs the confidence for a rule.

  Parameters:
    `premise` - the premise of the rule
    `consequence` - the consequence of the rule
  Returns:
    the confidence on the training data

### liftForRule

    public double liftForRule(AprioriItemSet premise,
                              AprioriItemSet consequence,
                              int consequenceCount)

  Outputs the lift for a rule. Lift is defined as:
  confidence / prob(consequence)

  Parameters:
    `premise` - the premise of the rule
    `consequence` - the consequence of the rule
    `consequenceCount` - how many times the consequence occurs independent of the premise
  Returns:
    the lift on the training data

### leverageForRule

    public double leverageForRule(AprioriItemSet premise,
                                  AprioriItemSet consequence,
                                  int premiseCount,
                                  int consequenceCount)

  Outputs the leverage for a rule. Leverage is defined as:
  prob(premise & consequence) - (prob(premise) * prob(consequence))

  Parameters:
    `premise` - the premise of the rule
    `consequence` - the consequence of the rule
    `premiseCount` - how many times the premise occurs independent of the consequent
    `consequenceCount` - how many times the consequence occurs independent of the premise
  Returns:
    the leverage on the training data

### convictionForRule

    public double convictionForRule(AprioriItemSet premise,
                                    AprioriItemSet consequence,
                                    int premiseCount,
                                    int consequenceCount)

  Outputs the conviction for a rule. Conviction is defined as:
  prob(premise) * prob(!consequence) / prob(premise & !consequence)

  Parameters:
    `premise` - the premise of the rule
    `consequence` - the consequence of the rule
    `premiseCount` - how many times the premise occurs independent of the consequent
    `consequenceCount` - how many times the consequence occurs independent of the premise
  Returns:
    the conviction on the training data

### generateRules

    public FastVector[] generateRules(double minConfidence,
                                      FastVector hashtables,
                                      int numItemsInSet)

  Generates all rules for an item set.

  Parameters:
    `minConfidence` - the minimum confidence the rules have to have
    `hashtables` - containing all(!) previously generated item sets
    `numItemsInSet` - the size of the item set for which the rules are to be generated
  Returns:
    all the rules with minimum confidence for the given item set

### generateRulesBruteForce

    public final FastVector[] generateRulesBruteForce(double minMetric,
                                                      int metricType,
                                                      FastVector hashtables,
                                                      int numItemsInSet,
                                                      int numTransactions,
                                                      double significanceLevel)
                                               throws java.lang.Exception

  Generates all significant rules for an item set.

  Parameters:
    `minMetric` - the minimum metric (confidence, lift, leverage, improvement) the rules have to have
    `metricType` - (confidence=0, lift, leverage, improvement)
    `hashtables` - containing all(!) previously generated item sets
    `numItemsInSet` - the size of the item set for which the rules are to be generated
    `numTransactions` -
    `significanceLevel` - the significance level for testing the rules
  Returns:
    all the rules with minimum metric for the given item set
  Throws:
    `java.lang.Exception` - if something goes wrong

### subtract

    public final AprioriItemSet subtract(AprioriItemSet toSubtract)

  Subtracts an item set from another one.

  Parameters:
    `toSubtract` - the item set to be subtracted from this one.
  Returns:
    an item set that only contains items form this item sets that are not contained by toSubtract

### toString

    public final java.lang.String toString(Instances instances)

  Returns the contents of an item set as a string.

  Overrides:
    `toString` in class `ItemSet`
  Parameters:
    `instances` - contains the relevant header information
  Returns:
    string describing the item set

### singletons

    public static FastVector singletons(Instances instances)
                                 throws java.lang.Exception

  Converts the header info of the given set of instances into a set of item sets (singletons). The ordering of values in the header file determines the lexicographic order.

  Parameters:
    `instances` - the set of instances whose header info is to be used
  Returns:
    a set of item sets, each containing a single item
  Throws:
    `java.lang.Exception` - if singletons can't be generated successfully

### mergeAllItemSets

    public static FastVector mergeAllItemSets(FastVector itemSets,
                                              int size,
                                              int totalTrans)

  Merges all item sets in the set of (k-1)-item sets to create the (k)-item sets and updates the counters.

  Parameters:
    `itemSets` - the set of (k-1)-item sets
    `size` - the value of (k-1)
    `totalTrans` - the total number of transactions in the data
  Returns:
    the generated (k)-item sets

### getRevision

    public java.lang.String getRevision()

  Returns the revision string.

  Specified by:
    `getRevision` in interface `RevisionHandler`
  Overrides:
    `getRevision` in class `ItemSet`
  Returns:
    the revision

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