A partition of the vector space of all deviation score vectors for fixed sample size N is used to show that the (indeterminate) factors of the factor model can always be constructed so as to predict any criterion perfectly, including all those that are entirely uncorrected with the observed variables.
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SchÖnemann, P.H., Steiger, J.H. On the validity of indeterminate factor scores. Bull. Psychon. Soc. 12, 287–290 (1978). https://doi.org/10.3758/BF03329685
- Deviation Score
- Factor Model
- Factor Score
- Null Space
- Test Space