Internal-Consistency Reliability Quiz
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Questions and Answers

Which of the following is NOT a factor affecting internal consistency reliability?

  • The homogeneity of the construct being measured
  • The number of respondents (correct)
  • The degree of consistency between the parts/items in the test
  • The length of the test
  • What is the most common method of estimating reliability?

  • Alternative forms procedure
  • Test-retest procedure
  • Internal consistency (correct)
  • All of the above
  • What is the relationship between the length of a test and its internal consistency reliability?

  • A longer test may yield more reliable scores than a shorter test, all other things equal (correct)
  • The length of a test has no effect on its internal consistency reliability
  • A shorter test may yield more reliable scores than a longer test, all other things equal
  • A longer test will always yield more reliable scores than a shorter test
  • Internal consistency is a better alternative to alternative forms and test-retest procedures.

    <p>True</p> Signup and view all the answers

    The internal consistency reliability procedure requires respondents to complete one form of a test on one occasion

    <p>False</p> Signup and view all the answers

    What does the Spearman-Brown formula adjust for in the internal consistency reliability estimate of a test?

    <p>The actual length of the test.</p> Signup and view all the answers

    Which of the following is a limitation of the split-half reliability approach?

    <p>It is affected by the way the test is split into halves</p> Signup and view all the answers

    What is the major advantage of the split-half reliability approach over the alternative forms reliability method?

    <p>It assumes equal true scores and error variances</p> Signup and view all the answers

    What is the Spearman-Brown Formula used for?

    <p>Calculating internal consistency reliability</p> Signup and view all the answers

    Is the Spearman-Brown Formula useful for data that is standardized (t-scores & z-scores)?

    <p>True</p> Signup and view all the answers

    Which of the following best describes Cronbach's alpha?

    <p>A way of assessing reliability by comparing shared variance among items to overall variance</p> Signup and view all the answers

    Why is it important for an instrument to have a high level of covariance among its items?

    <p>To ensure that the instrument is measuring what it is supposed to measure</p> Signup and view all the answers

    Which assumption is NOT assumed for Cronbach's alpha

    <p>All items have equal means</p> Signup and view all the answers

    Which of the following represents the numerator in Cronbach's alpha formula?

    <p>The true score variance</p> Signup and view all the answers

    What does the denominator in Cronbach's alpha formula represent?

    <p>The sum of the square inter-item covariance matrix</p> Signup and view all the answers

    The standardised coefficient alpha is used for raw scores

    <p>False</p> Signup and view all the answers

    What does Cronbach's alpha formula represent at the theoretical level?

    <p>The ratio of true score variance to total variance</p> Signup and view all the answers

    The standardised coefficient alpha should have similar variances and be similar in magnitude to the coefficient alpha

    <p>True</p> Signup and view all the answers

    What is the main limitation of Cronbach's alpha when it comes to positively correlated error terms between two items within a test?

    <p>It cannot take these positively correlated error terms into account</p> Signup and view all the answers

    Which formula is mostly of historical interest for estimating internal consistency reliability associated with composite scores based on dichotomously scored items?

    <p>Kuder-Richardson 20 formula</p> Signup and view all the answers

    What is the Kuder-Richardson formula used for?

    <p>Estimating internal consistency reliability</p> Signup and view all the answers

    If the assumption of essential tau-equivalence is not satisfied, then Cronbach’s alpha will tend to:

    <p>Underestimate reliability</p> Signup and view all the answers

    With a reasonable amount of items (10 or more) Cronbach’s alpha will underestimate reliability by:

    <p>.02</p> Signup and view all the answers

    Which formula is a better alternative to the Kuder-Richardson formula for estimating internal consistency reliability for non-dichotomously scored items?

    <p>Cronbach's alpha formula</p> Signup and view all the answers

    A smaller number of items (say, 3 to 6 items) will cause the degree of the Cronbach's alpha underestimation to lessen

    <p>False</p> Signup and view all the answers

    In practice, violating the assumption of non-correlated error terms can result in Cronbach’s alpha to:

    <p>Overestimate the correlation by .05 - .06</p> Signup and view all the answers

    What is the main factor to consider when deciding whether to add an item to a test to increase its reliability?

    <p>Whether the item has a high inter-item correlation</p> Signup and view all the answers

    What is the textbook's recommendation for added items to a test in order to increase Cronbach's alpha?

    <p>Items must be tau-equivalent to other items</p> Signup and view all the answers

    What is the purpose of adding an item to a test according to the text?

    <p>To increase the mean inter-item correlation</p> Signup and view all the answers

    Study Notes

    Factors Affecting Internal Consistency Reliability

    • The length of a test and its internal consistency reliability are positively related.
    • Internal consistency is not affected by the time of administration, respondents' characteristics, or the test's content.

    Estimating Reliability

    • The most common method of estimating reliability is internal consistency reliability.
    • Internal consistency is a better alternative to alternative forms and test-retest procedures.

    Internal Consistency Reliability Procedure

    • The internal consistency reliability procedure requires respondents to complete one form of a test on one occasion.

    Spearman-Brown Formula

    • The Spearman-Brown formula adjusts for the length of a test in the internal consistency reliability estimate.
    • The formula is used to estimate the reliability of a test based on its current length and the desired length.
    • The formula is not useful for data that is standardized (t-scores & z-scores).

    Split-Half Reliability Approach

    • The major advantage of the split-half reliability approach is that it can be used when there is no alternative form of the test.
    • A limitation of the split-half reliability approach is that it may not be suitable for tests with a small number of items.

    Cronbach's Alpha

    • Cronbach's alpha is a measure of internal consistency reliability.
    • It is important for an instrument to have a high level of covariance among its items to ensure reliability.
    • Cronbach's alpha formula represents the average correlation among all possible split-half combinations of items.
    • The numerator in Cronbach's alpha formula represents the sum of the covariances between items.
    • The denominator in Cronbach's alpha formula represents the variance of the total score.
    • The standardised coefficient alpha is used for raw scores and should have similar variances and be similar in magnitude to the coefficient alpha.
    • At the theoretical level, Cronbach's alpha formula represents the proportion of the total variance that is due to the true score.

    Limitations of Cronbach's Alpha

    • The main limitation of Cronbach's alpha is that it can be affected by positively correlated error terms between two items within a test.
    • If the assumption of essential tau-equivalence is not satisfied, then Cronbach’s alpha will tend to underestimate reliability.
    • With a reasonable amount of items (10 or more), Cronbach’s alpha will underestimate reliability by 5-10%.
    • A smaller number of items (say, 3 to 6 items) will cause the degree of the Cronbach's alpha underestimation to lessen.
    • In practice, violating the assumption of non-correlated error terms can result in Cronbach’s alpha to overestimate reliability.

    Kuder-Richardson Formula

    • The Kuder-Richardson formula is of historical interest for estimating internal consistency reliability associated with composite scores based on dichotomously scored items.
    • The formula is used for estimating internal consistency reliability for dichotomously scored items.

    Adding Items to a Test

    • The main factor to consider when deciding whether to add an item to a test is the item's correlation with the total score.
    • The textbook's recommendation for adding items to a test is to add items that are highly correlated with the total score.
    • The purpose of adding an item to a test is to increase its reliability.

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    Description

    Test your knowledge on internal-consistency reliability, the most common method of estimating reliability. Learn about its practical alternative to the alternative forms procedure and the test-retest procedure. Explore how the internal consistency reliability procedure treats different items within the same test as different forms.

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