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Advance Psychometric Theory

DIFFERENTIAL ITEM FUNCTIONING
DIFFERENTIAL ITEM FUNCTIONING (DIF)
 Also referred to as item bias
 Tests should have fairness in when test
  takers from two subgroups of interest such
  as males or females, etc.
 DIF occurs when test takers on two groups of
  interest who are matched on their ability
  have unequal chances of success. The
  assessment material is not used and
  attempts to fond explanations for the
  difference in performances are made.
DIFFERENTIAL ITEM FUNCTIONING

   An item exhibits DIF (or is potentially biased)
    if students of equal ability but from different
    sub groups (ex. males and females) have an
    opportunity for correctly responding to that
    item (or an equal expected score on the
    assessment task, for polychotomous items)
    (Humbleton et al., 1991).

DIFFERENTIAL ITEM FUNCTIONING

   If discrepancy in item performance between
    the subgroups of interest is equal across the
    entire range of abilities, then DIF is said to be
    nonuniform.
STATISTICAL METHODS USING IRT

 Comparing ICC’s
 Significance test of item parameter estimates
  of two groups (Lord, 1980).
 Logistic regression-The item bias variable is
  identified and coded. This variable is used as
  a predictor together with the items. If the
  interaction term is significant item bias exist
  for that item.
STATISTICAL METHODS USING IRT
   Mantel-Haenszel method
     Matches    examiners in two groups of interest
      using total test score (or on the adjusted test
      score by removing potentially biased test items
      that might be identified by a judgmental review or
      an initial statistical analysis).
     Majority and minority group members are
      assigned to groups based on their total scores.
     Examinees are matched on their ability levels an
      then item performance on the two groups are
      compared in each score group.
STATISTICAL METHODS USING IRT

 Differences in item performance in each
  group are weighted by the size of the sample
  and then summed over the score groups.
 It is possible to test the sum for statistical
  significance using chi-square.
JUDGMENTAL REVIEWS
 Panelists consisting of minority group members,
  curriculum specialist, and measurement
  specialists are often formed to review
  assessment materials for bias (racial, ethnic,
  gender, regional, age, etc.)
 Panel detects items that are reflecting
  stereotyping (males performing physical
  activities and females working in the house).
 Panel looks at aspects of the assessment
  material (situations, vocabulary, assessment
  format, reading level, time limits)
ITEM BIAS IN A CROSS CULTURAL PERSPECTIVE

 Construct bias
 Method bias

 Item bias
CONSTRUCT BIAS

 Construct bias-different meanings attached
  to some concepts.
 Ex. Intelligence: Social intelligence (roles on
  the family, ability to deal with complicated
  situations) is not covered in psychological
  tests.
METHOD BIAS

 When a cultural factor that is not relevant to
  the construct studied affects most or all of the
  items of a test in a different way across the
  culture studied.
 Ex. self-disclosure, social desirability,
  stimulus content,
 Raven’s progressive matrix-lessens cultural
  bias.
ITEM BIAS/DIFFERENTIAL ITEM FUNCTIONING

 Anomalies in the instrument that are specific
  to individual items.
 Types:
     Uniform bias
     Nonuniform bias
DETECTING ITEM BIAS

   2x2 contingency table for each item.
     Ex. Pass and fail on the item vs. Filipino and
      Singaporeans
     Ex. right vs. wrong on an item vs. males and
      females.
   Analysis of Variance of item scores on a
    categorical variable as a source of item bias.
     Ex.Main and interaction effects of cultural
      groups and ability groups on each item score.

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Differential item functioning2

  • 2. DIFFERENTIAL ITEM FUNCTIONING (DIF)  Also referred to as item bias  Tests should have fairness in when test takers from two subgroups of interest such as males or females, etc.  DIF occurs when test takers on two groups of interest who are matched on their ability have unequal chances of success. The assessment material is not used and attempts to fond explanations for the difference in performances are made.
  • 3. DIFFERENTIAL ITEM FUNCTIONING  An item exhibits DIF (or is potentially biased) if students of equal ability but from different sub groups (ex. males and females) have an opportunity for correctly responding to that item (or an equal expected score on the assessment task, for polychotomous items) (Humbleton et al., 1991). 
  • 4. DIFFERENTIAL ITEM FUNCTIONING  If discrepancy in item performance between the subgroups of interest is equal across the entire range of abilities, then DIF is said to be nonuniform.
  • 5. STATISTICAL METHODS USING IRT  Comparing ICC’s  Significance test of item parameter estimates of two groups (Lord, 1980).  Logistic regression-The item bias variable is identified and coded. This variable is used as a predictor together with the items. If the interaction term is significant item bias exist for that item.
  • 6. STATISTICAL METHODS USING IRT  Mantel-Haenszel method  Matches examiners in two groups of interest using total test score (or on the adjusted test score by removing potentially biased test items that might be identified by a judgmental review or an initial statistical analysis).  Majority and minority group members are assigned to groups based on their total scores.  Examinees are matched on their ability levels an then item performance on the two groups are compared in each score group.
  • 7. STATISTICAL METHODS USING IRT  Differences in item performance in each group are weighted by the size of the sample and then summed over the score groups.  It is possible to test the sum for statistical significance using chi-square.
  • 8. JUDGMENTAL REVIEWS  Panelists consisting of minority group members, curriculum specialist, and measurement specialists are often formed to review assessment materials for bias (racial, ethnic, gender, regional, age, etc.)  Panel detects items that are reflecting stereotyping (males performing physical activities and females working in the house).  Panel looks at aspects of the assessment material (situations, vocabulary, assessment format, reading level, time limits)
  • 9. ITEM BIAS IN A CROSS CULTURAL PERSPECTIVE  Construct bias  Method bias  Item bias
  • 10. CONSTRUCT BIAS  Construct bias-different meanings attached to some concepts.  Ex. Intelligence: Social intelligence (roles on the family, ability to deal with complicated situations) is not covered in psychological tests.
  • 11. METHOD BIAS  When a cultural factor that is not relevant to the construct studied affects most or all of the items of a test in a different way across the culture studied.  Ex. self-disclosure, social desirability, stimulus content,  Raven’s progressive matrix-lessens cultural bias.
  • 12. ITEM BIAS/DIFFERENTIAL ITEM FUNCTIONING  Anomalies in the instrument that are specific to individual items.  Types:  Uniform bias  Nonuniform bias
  • 13. DETECTING ITEM BIAS  2x2 contingency table for each item.  Ex. Pass and fail on the item vs. Filipino and Singaporeans  Ex. right vs. wrong on an item vs. males and females.  Analysis of Variance of item scores on a categorical variable as a source of item bias.  Ex.Main and interaction effects of cultural groups and ability groups on each item score.