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True Score Theory in Measurement

True Score Theory in Measurement. Rating Sheet. 1 Manage time effectively. 2 Manage resources effectively. 3 Scan a multitude of information and decide what is important. 1 2 3 4 5. 4 Decide how to manage multiple tasks. 5 Organize the work when directions are not specific. 1 2 3 4 5.

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True Score Theory in Measurement

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  1. True Score Theoryin Measurement

  2. Rating Sheet 1 Manage time effectively 2 Manage resources effectively. 3 Scan a multitude of information and decide what is important. 1 2 3 4 5 4 Decide how to manage multiple tasks. 5 Organize the work when directions are not specific. 1 2 3 4 5 1 2 3 4 5 3 Scan a multitude of information and decide what is important. 1 Manage time effectively 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 True Score Theory Holds that the... Observed score

  3. Rating Sheet 1 Manage time effectively 2 Manage resources effectively. 3 Scan a multitude of information and decide what is important. 1 2 3 4 5 4 Decide how to manage multiple tasks. 5 Organize the work when directions are not specific. 1 2 3 4 5 1 2 3 4 5 3 Scan a multitude of information and decide what is important. 1 Manage time effectively 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 True Score Theory ...is a linear additive function of some unseen... Observed score True ability =

  4. Rating Sheet 1 Manage time effectively 2 Manage resources effectively. 3 Scan a multitude of information and decide what is important. 1 2 3 4 5 4 Decide how to manage multiple tasks. 5 Organize the work when directions are not specific. 1 2 3 4 5 1 2 3 4 5 3 Scan a multitude of information and decide what is important. 1 Manage time effectively 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 True Score Theory ...and a random component... Observed score True ability Random error + =

  5. Rating Sheet 1 Manage time effectively 2 Manage resources effectively. e + 3 Scan a multitude of information and decide what is important. T 1 2 3 4 5 4 Decide how to manage multiple tasks. 5 Organize the work when directions are not specific. 1 2 3 4 5 1 2 3 4 5 3 Scan a multitude of information and decide what is important. 1 Manage time effectively 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 True Score Theory Observed score True ability Random error + = In notational form, the right side of the equation is...

  6. Rating Sheet 1 Manage time effectively 2 Manage resources effectively. 3 Scan a multitude of information and decide what is important. 1 2 3 4 5 4 Decide how to manage multiple tasks. 5 Organize the work when directions are not specific. 1 2 3 4 5 1 2 3 4 5 3 Scan a multitude of information and decide what is important. 1 Manage time effectively 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 True Score Theory Observed score True ability Random error + = X e + T ...and the whole model is represented in equation form as...

  7. True Score Theory Observed score True ability Random error + = It follows from this that the variability of the observed score, X, is the additive combination of the variability of the true score and the error. var(X) = var(T) + var(e)

  8. True Score Theory • Is a simplistic yet powerful model for measurement • Is not the only model around • Is the foundation of reliability theory • Can be used in computer simulations to generate “observed” scores with certain properties

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