1 SPSS MACROS FOR COMPUTING STANDARD ERRORS WITH PLAUSIBLE VALUES
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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