Elaboration Paradigms Multivariate Tables

1
Elaboration ParadigmsMultivariate Tables

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

2
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.

3
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

4
Spuriousness

• If relationship between IV and DV is weakened
  when T present then have spuriousness. (Qxy?0 and
  Qtxy0 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

5
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 Qs gt 10 points. See
  if the chi square for the partial is significant.

6
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.

7
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.