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Which of the following is not a consequence of Spearman's theory ?

  • A.The correlation between different measures of intelligence will be positive.
  • B.The correlation between two measures of intelligence will be equal to \(r_{1g} \times r_{2g}\), where 1 and 2 represent the two different measures and g represents general factor.
  • C.The correlation between two measures of intelligence will be equal to \(r_{1g} + r_{2g}\), where 1 and 2 represent the two different measures and g represents general factor.
  • D.The law of tetrad difference will hold for four measures of intelligence

Answer: C

The statement that is not a consequence of Spearman's theory is that the correlation between two measures equals the sum \(r_{1g} + r_{2g}\). In the two-factor theory each test measures the general factor g plus a specific factor, and the correlation between two tests is the product of their g loadings: \[ r_{12} = r_{1g} \times r_{2g} \] so the sum is wrong. Positive correlations among all tests (the positive manifold) and the vanishing tetrad difference are both consequences of the theory, so those options are true statements and not the answer.

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