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SPSS MACROS FOR COMPUTING STANDARD ERRORS WITH PLAUSIBLE VALUES

• How to analyze Plausible Values?

Computation of SE with PVs

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• Estimated mean is the AVERAGE of the mean for each PV

• Sampling variance is the AVERAGE of the sampling variance for each PV

• Where

M

iiM 1

ˆ1ˆ

M

iiM 1

2)(

2)( ˆ1ˆ

80 22

ˆ1

1ˆ ˆ ˆ20i ij i

j

Computation of SE with PVs

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• Measurement variance computed as:

• Total Standard Error computed from measurement and Sampling Variance as:

25

1

2)( ˆˆ

11ˆ

i

iPV M

2 2ˆ ˆ ( )( ) ( )

1ˆ ˆ ˆ(1 )PV PVM

Computation of SE with PVs

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Computation of SE with PVs

• SPSS macro MCR_SE_UNIV can be used repeatedly with the five PVs and output can be merged…

• … or SPSS macro MCR_SE_PV does it for you!

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Computation of SE with PVs

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• Same statistics as its respective macro without PVs

Computation of SE with PVs

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Computation of SE with PVs

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Computation of SE with PVs

Computation of SE with PVs

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Computation of SE with PVs

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Computation of SE with PVs

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• Correlation with 2 sets of PVs

Computation of SE with PVs

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• Regression with 2 sets of PVs

Computation of SE with PVs

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Computation of SE with PVs

• Proficiency levels

Computation of SE with PVs

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Computation of SE with PVs