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Elaboration Paradigms Multivariate Tables. Interpreting what happens to the 2-Way table when introduce test variable. Elaboration. Trying to specify what happens to the relationship between IV and DV when introduce T. Possible outcomes: No change in partial tables Change in partial tables.

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elaboration paradigms multivariate tables

Elaboration ParadigmsMultivariate Tables

Interpreting what happens to the 2-Way table when introduce test variable

elaboration
Elaboration
  • Trying to specify what happens to the relationship between IV and DV when introduce T.
  • Possible outcomes:
    • No change in partial tables
    • Change in partial tables.
factors to consider in an elaboration
Factors to Consider in an Elaboration
  • Is the test variable an antecedent or an intervening variable?
    • Antecedent – precedes IV
    • Intervening – occurs in between Iv and DV
  • What happens to the original relationship between IV and DV when T is introduced?
    • Stay the same replication
    • Change  need to consider a variety of possible types of elaboration: spuriousness, specification, distorter or suppressor
spuriousness
Spuriousness
  • If relationship between IV and DV is weakened when T present then have spuriousness. (Qxy0 and Qtxy=0 pr negligible)
    • If T is an antecedent then have explanation. T explains relationship between IV and DV.
    • If T is an intervening then have interpretation.
  • Relationship between variables that produce spuriousness
    • QTX and QTY must be nonneglible
    • If Qxy =+, then QTX and QTY must have same signs
    • If Qxy =-, then QTX and QTY must have opposite signs
specification
Specification
  • The introduction of T results in different relationships between IV and DV for conditions of T.
  • Can say that T specifies the relationship between IV and DV or that relationship between IV and DV depends on the level of T. Look for which attribute of T strengthens original relationship.
  • Before conclude that you have specification the difference for the partial Q’s > 10 points. See if the chi square for the partial is significant.
suppression
Suppression
  • Suppressor is present
    • The relationship between IV and DV is small or negligible. The introduction of the test variable results in swelling the relationship between IV and DV
      • When T raises a positive relationship between Qxy, then T must have opposite sign correlations with X and Y.
      • When T raises a negative relationship between Qxy, then T must have same sign correlations with X and Y.
distortion
Distortion
  • Distortion is present
    • The relationship between IV and DV is reversed when T is introduced.
    • When T reverses the sign of the relationship between Qxy, then T must have opposite sign correlations with X and Y.
      • When T results in reversing a negative relationship between Qxy, then T must have opposite sign correlations with X and Y.
      • When T results in reversing a positive relationship between Qxy, then T must have same sign correlations with X and Y.