True Score Theory in Measurement. True Score Theory Holds that the... 1234512345 1234512345 3Scan...
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Transcript of True Score Theory in Measurement. True Score Theory Holds that the... 1234512345 1234512345 3Scan...
True Score TheoryTrue Score Theoryin Measurementin Measurement
True Score TheoryTrue Score TheoryHolds that the...Holds that the...
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3Scan a multitu
de of information and decide
what is important.
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1Manage tim
e effectively
2Manage resources effectively.
3Scan a multitu
de of information and
decide what is important.
4Decide how to manage multiple tasks.
5Organize the work when directions are not specific.
1Manage tim
e effectively
Rating Sheet
ObservedObservedscorescore
True Score TheoryTrue Score Theory
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5
3Scan a multitu
de of information and decide
what is important.
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5
12
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12
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5
12
34
5
12
34
5
1Manage tim
e effectively
2Manage resources effectively.
3Scan a multitu
de of information and
decide what is important.
4Decide how to manage multiple tasks.
5Organize the work when directions are not specific.
1Manage tim
e effectively
Rating Sheet
ObservedObservedscorescore
...is a linear additive function of some unseen......is a linear additive function of some unseen...
== TrueTrueabilityability
True Score TheoryTrue Score Theory
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5
3Scan a multitu
de of information and decide
what is important.
12
34
5
12
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12
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5
12
34
5
12
34
5
1Manage tim
e effectively
2Manage resources effectively.
3Scan a multitu
de of information and
decide what is important.
4Decide how to manage multiple tasks.
5Organize the work when directions are not specific.
1Manage tim
e effectively
Rating Sheet
ObservedObservedscorescore
...and a random component......and a random component...
== TrueTrueabilityability ++ RandomRandom
errorerror
True Score TheoryTrue Score Theory
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5
3Scan a multitu
de of information and decide
what is important.
12
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5
12
34
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12
34
5
12
34
5
12
34
5
1Manage tim
e effectively
2Manage resources effectively.
3Scan a multitu
de of information and
decide what is important.
4Decide how to manage multiple tasks.
5Organize the work when directions are not specific.
1Manage tim
e effectively
Rating Sheet
ObservedObservedscorescore
In notational form, the right side of the equation is...In notational form, the right side of the equation is...
== TrueTrueabilityability ++ RandomRandom
errorerror
TT ee++
True Score TheoryTrue Score Theory
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3Scan a multitu
de of information and decide
what is important.
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12
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12
34
5
12
34
5
1Manage tim
e effectively
2Manage resources effectively.
3Scan a multitu
de of information and
decide what is important.
4Decide how to manage multiple tasks.
5Organize the work when directions are not specific.
1Manage tim
e effectively
Rating Sheet
ObservedObservedscorescore
...and the whole model is represented in equation form as......and the whole model is represented in equation form as...
== TrueTrueabilityability ++ RandomRandom
errorerror
TT ee++XX
True Score TheoryTrue Score Theory
ObservedObservedscorescore
It follows from this that the variability of the It follows from this that the variability of the observed score, X, is the additive combination of observed score, X, is the additive combination of
the variability of the true score and the error.the variability of the true score and the error.
== TrueTrueabilityability ++ RandomRandom
errorerror
var(var(XX) = var() = var(TT) + var() + var(ee))
True Score TheoryTrue Score Theory
Is a simplistic yet powerful model for Is a simplistic yet powerful model for measurementmeasurement
Is not the only model aroundIs not the only model around Is the foundation of reliability theoryIs the foundation of reliability theory Can be used in computer simulations to Can be used in computer simulations to
generate “observed” scores with certain generate “observed” scores with certain propertiesproperties