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Reliability
In Psychological Testing,
Discrepancies between     ERROR does not imply
  true ability and        that a mistake has
  measurement of          been made. It implies
  ability constitute      that there will always
  errors of               be inaccuracy in
  measurement.            measurements.
Tests that are free of
  measurement error
                         Tests that have
  are deemed to be        too much error
  reliable.               are deemed to
                          be unreliable.
It is assumed that
  each person has a   The difference between
  true score that       the true score and the
  would be obtained     observed score results
  if there were no      from measurement
                        error.
  errors in
  measurement.        X -T= E
                      Where X – observed score
                      T- true score
                      E- error
It is assumed that
  the true score for
  an individual will   Because of random error,
                         however, repeated
  not change with        applications of the
  repeated               same test can produce
  applications of        different scores.
  the same test.
The standard          The standard error of
                         measurements tell us, on
 deviation will be       the average, how much the
 the standard error      score varies from the true
 of measurement.         score.
                      In practice, the standard
Remember that the        deviation of the observed
 standard deviation      score and the reliability of
 tells us about the      the test are used to
                         estimate the standard
 average deviation       error of measurement.
 around the mean.
Federal government guidelines
 require that a test be reliable
 before one can use it to make
 employment and educational
 placement decisions (Heubert
 and Hauser, 1999).
Models of Reliability
Time Sampling: The    Is used to evaluate the
  Test -Retest Method    error associated with
                           administering a test at 2
                           different times.
                         Administer the same test
                           on 2 well-specified
                           occassions and find the
                           correlation between
                           scores from the 2
                           administrations.
Models of Reliability
Item Sampling: Parallel   • Determines the error
   Forms Method             variance that is
   Equivalent Forms         attributable to the
   Reliability              selection of one
   Parallel Forms           particular set of items
                          • Compares two
                            equivalent forms of a
                            test that measure the
                            same attribute
                          • Pearson Product
                            Moment Correlation
Models of Reliability
• Split Half       • A test is given and is
                     divided into halves
  Method             that are scored
                     separately. The results
                     of one half of the test
                     are then compared
                     with the results of the
                     other.
                   • Odd-even system
                   • Correlation between
                     the 2 halves
• Kuder-Richardson 20   • Use to calculate for the
  Formula (KR20)          reliability of the test in
                          which the items are
                          dichotomous, scored 0
                          or 1 (usually for right
                          or wrong)
                        • Sum of the product of
                          people passing each
                          item times the
                          proportion of people
                          failing each item
Models of Reliability
• Split Half Method   • Spearman- Brown
                        Formula: use to
                        correct for the half
                        length of the test
Kuder-Richardson   A special case of the
                     reliability formula that
 21 (KR21)           does not require the
                     calculation of the p’s
                     and q’s., instead it uses
                     the mean test score
                   Assumes that all items
                     are of average
                     difficulty
Coeficient Alpha   The most general
Cronbach Alpha       method of finding
                     estimates of reliability
                     through internal
                     consistency.
How reliable is reliable?
What is “high      The answer depends on
                    the use of the test.
 enough”?         .70 - .80 are good enough
                    for the purposes of
                    basic research.
                  In CLINICAL SETTINGS,
                    a .90 reliability index
                    may not be good
                    enough; greater than .
                    95 should be required

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Reliability

  • 2. In Psychological Testing, Discrepancies between ERROR does not imply true ability and that a mistake has measurement of been made. It implies ability constitute that there will always errors of be inaccuracy in measurement. measurements.
  • 3. Tests that are free of measurement error Tests that have are deemed to be too much error reliable. are deemed to be unreliable.
  • 4. It is assumed that each person has a The difference between true score that the true score and the would be obtained observed score results if there were no from measurement error. errors in measurement. X -T= E Where X – observed score T- true score E- error
  • 5. It is assumed that the true score for an individual will Because of random error, however, repeated not change with applications of the repeated same test can produce applications of different scores. the same test.
  • 6. The standard The standard error of measurements tell us, on deviation will be the average, how much the the standard error score varies from the true of measurement. score. In practice, the standard Remember that the deviation of the observed standard deviation score and the reliability of tells us about the the test are used to estimate the standard average deviation error of measurement. around the mean.
  • 7. Federal government guidelines require that a test be reliable before one can use it to make employment and educational placement decisions (Heubert and Hauser, 1999).
  • 8. Models of Reliability Time Sampling: The Is used to evaluate the Test -Retest Method error associated with administering a test at 2 different times. Administer the same test on 2 well-specified occassions and find the correlation between scores from the 2 administrations.
  • 9. Models of Reliability Item Sampling: Parallel • Determines the error Forms Method variance that is Equivalent Forms attributable to the Reliability selection of one Parallel Forms particular set of items • Compares two equivalent forms of a test that measure the same attribute • Pearson Product Moment Correlation
  • 10. Models of Reliability • Split Half • A test is given and is divided into halves Method that are scored separately. The results of one half of the test are then compared with the results of the other. • Odd-even system • Correlation between the 2 halves
  • 11. • Kuder-Richardson 20 • Use to calculate for the Formula (KR20) reliability of the test in which the items are dichotomous, scored 0 or 1 (usually for right or wrong) • Sum of the product of people passing each item times the proportion of people failing each item
  • 12. Models of Reliability • Split Half Method • Spearman- Brown Formula: use to correct for the half length of the test
  • 13. Kuder-Richardson A special case of the reliability formula that 21 (KR21) does not require the calculation of the p’s and q’s., instead it uses the mean test score Assumes that all items are of average difficulty
  • 14. Coeficient Alpha The most general Cronbach Alpha method of finding estimates of reliability through internal consistency.
  • 15. How reliable is reliable? What is “high The answer depends on the use of the test. enough”? .70 - .80 are good enough for the purposes of basic research. In CLINICAL SETTINGS, a .90 reliability index may not be good enough; greater than . 95 should be required