True Score Theory in Measurement. True Score Theory Holds that the... 1234512345 1234512345 3Scan...

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True Score Theory True Score Theory in Measurement in Measurement

description

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

Transcript of True Score Theory in Measurement. True Score Theory Holds that the... 1234512345 1234512345 3Scan...

Page 1: True Score Theory in Measurement. True Score Theory Holds that the... 1234512345 1234512345 3Scan a…

True Score TheoryTrue Score Theoryin Measurementin Measurement

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True Score TheoryTrue Score TheoryHolds that the...Holds that the...

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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

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True Score TheoryTrue Score Theory

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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

...is a linear additive function of some unseen......is a linear additive function of some unseen...

== TrueTrueabilityability

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True Score TheoryTrue Score Theory

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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

...and a random component......and a random component...

== TrueTrueabilityability ++ RandomRandom

errorerror

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True Score TheoryTrue Score Theory

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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

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++

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True Score TheoryTrue Score Theory

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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

...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

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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))

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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