1994
DOI: 10.1037/0278-7393.20.5.1172
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Interpretation of differential deficits: The case of aging and mental arithmetic.

Abstract: A fundamental issue in research on individual differences is the type of evidence sufficient to justify an inference of selective or distinct deficits in relevant theoretical processes. It is proposed that an important consideration is the extent to which the individual differences in 1 variable are independent of those in another variable. Specifically, the suggestion presented here is that a strong conclusion of selective impairment requires evidence that there is significant group-related variance in 1 vari… Show more

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Cited by 90 publications
(127 citation statements)
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References 23 publications
(38 reference statements)
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“…Such a disordinal interaction is difficult to explain for any theory that proposes that age effects can be reduced to a single factor. Age effects in the coordinative tasks can hardly be explained by age differences in basic processes that are somehow magnified in the coordinativeconditions (Salthouse, 1996;Salthouse & Coon, 1994), because age differences in basic processes should have led to measurable, if only small, differences in the sequential condition as well. The old participants took more time for encoding of the initial items, but any advantage they might have gained from this would soon be lost because of the replacement of these items through the updating operations.Still, old adults performed simple arithmetic operations as fast as young adults.…”
Section: Discussionmentioning
confidence: 99%
“…Such a disordinal interaction is difficult to explain for any theory that proposes that age effects can be reduced to a single factor. Age effects in the coordinative tasks can hardly be explained by age differences in basic processes that are somehow magnified in the coordinativeconditions (Salthouse, 1996;Salthouse & Coon, 1994), because age differences in basic processes should have led to measurable, if only small, differences in the sequential condition as well. The old participants took more time for encoding of the initial items, but any advantage they might have gained from this would soon be lost because of the replacement of these items through the updating operations.Still, old adults performed simple arithmetic operations as fast as young adults.…”
Section: Discussionmentioning
confidence: 99%
“…That is, because the relations between age and cognitive variables can vary for a variety of reasons, such as measurement sensitivity, reliability, and dependence on age-sensitive processes (see Salthouse, 2000;Salthouse & Coon, 1994), by itself the strength of the relations between age and different variables provides a weak basis for inferring the existence of distinct age-related influences. In contrast, reliance on procedures to assess the statistical independence of age-related effects on a variety of cognitive variables provides a more powerful, and direct, basis for inferring the operation of more than one age-related influence.…”
Section: Introductionmentioning
confidence: 99%
“…However, the assumption of one or more fairly general age-related factors does not preclude the occurrence of significant interactions because interactions can originate as a result of (a) the existence of specific or local age-related influences in addition to the hypothesized broad or general influences (Salthouse, 1992d), (b) differential reliance of processes or measures on the general or common factor(s) (e.g., Salthouse & Coon, 1994), (c) a multiplicative or proportional influence of the general factor(s) such that the absolute differences between age groups increase with the magnitude of the treatment effect (e.g., Cerella, 1990;Cerella, Poon, & Williams, 1980;Salthouse, I985a), or (d) a statistical artifact attributable to differential discriminating power (e.g., reliability, power, and region in the measurement range) of the variables (e.g., Salthouse, 1985bSalthouse, , 1991c. Particularly when one does not assert that general factors are the exclusive source of age-related differences in cognition, therefore, the existence of what appear to be selective or differential age-related effects in the form of statistical interactions is not at all inconsistent with the existence of common or general factors.…”
Section: Theoretical Assumptionsmentioning
confidence: 99%
“…Instead, the age-related effects can be expected to vary in magnitude because of the operation of other influences, even if a common underlying mechanism is involved (cf. Salthouse, I992b, 1992d;Salthouse & Coon, 1994). Considerable evidence indicates that a variety of factors contribute both to the absolute level of speeded performance and to the relations between age and measures of speeded performance.…”
Section: Statistical Control Proceduresmentioning
confidence: 99%