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[Gra68] R. M. Graham: Protection in an Information Processing Utility, in Communications of the ACM, Vol. 11, No. 5, May 1968, pp. 365 369 K. J. Hammer Hodges: A Fault-Tolerant Multiprocessor Design for RealTime Control, Computer Design, December 1973, pp. 75-81 J. M. Hart: Win32 System Programming, Second Edition, Addison-Wesley Professional, 1997 J. Hassell: RADIUS Securing Public Access to Private Resources, O Reilly, 2002 M. Hafiz, R. E. Johnson: The Security Architecture of qmail and Postfix,

words are alike, the VCI provides a measure of factual knowledge, word knowledge, and verbal reasoning, as well as one s ability to express his or her ideas in words. The VCI is most similar to the Crystallized (Gc) dimension of the fluid crystallized dichotomy (Horn, 1989). Although other subtests can be categorized under Gc, in addition to the three VCI subtests (most notably Comprehension), the VCI embodies the concept of crystallized skills (knowledge that is dependent on school-learned knowledge and acculturation). The VCI also shares conceptual similarities with two of Bannatyne s constructs: Verbal Conceptualization Ability and Acquired Knowledge. The Horn and Bannatyne constructs were discussed in more depth in 10 and formulas for creating standard-score comparisons of these constructs are provided later in this chapter.

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example, the response could be the outcome of a functional electrical test on a semiconductor device for which the results are either a success, which means the device works properly, or a failure, which could be due to a short, an open, or some other functional problem. Suppose that the model has the form Yi

(S11-6)

The POI, comprised of Picture Completion, Block Design, and Matrix Reasoning, measures visual spatial problem solving, nonverbal reasoning, and visual motor skills. Through copying three-dimensional designs, completing visual

https://netfiles.uiuc.edu/mhafiz/www/ResearchandPublications/SecurityArchitectureofqmailAndPostfix.htm, 2005

and the response variable Yi takes on the values either 0 or 1. We will assume that the response variable Yi is a Bernoulli random variable with probability distribution as follows:

Because the PIQ cannot be meaningfully interpreted, the FSIQ is also not a meaningful construct to interpret

0 11

This means that the expected response given by the response function E(Yi) 0 1xi is just the probability that the response variable takes on the value 1. There are some substantive problems with the regression model in Equation S11-6. First, note that if the response is binary, the error terms i can only take on two values, namely,

Because the POI and POI vs. PSI discrepancy is uninterpretable, the PIQ is also not meaningful to interpret The POI vs. VCI discrepancy is no longer interpretable The POI vs. PSI discrepancy is no longer interpretable

[Ham73]

Consequently, the errors in this model cannot possibly be normal. Second, the error variance is not constant, since

Steps 2, 3, 4

i 11

[Har01]

since E1Yi 2 0 1xi i. This indicates that the variance of the observations (which is the same as the variance of the errors because i Yi i, and i is a constant) is a function of the mean. Finally, there is a constraint on the response function, because 0 E 1Yi 2

Steps 5, 6

11-8

puzzles, and determining what is missing from a stimulus picture, the POI assesses one s ability to visually integrate information, motorically manipulate objects, and apply visual spatial skills to problems that are not school-taught. The POI is most similar to the Broad Visualization (Gv) and Fluid (Gf ) dimensions of Horn s expanded Gf Gc model (Horn, 1989; Horn & Hofer, 1992; Horn & Noll, 1997). As we discuss elsewhere in this book, we don t view the POI as a pure measure of fluid ability, as visual spatial abilities and visual motor abilities are inextricably intertwined with the fluid components of the POI subtests. The POI also shares conceptual similarities with Bannatyne s Spatial Ability construct. Again, the

[Has02]

This restriction can cause serious problems with the choice of a linear response function, as we have initially assumed in Equation S11-6. It would be possible to t a model to the data for which the predicted values of the response lie outside the 0, 1 interval. Generally, when the response variable is binary, there is considerable empirical evidence indicating that the shape of the response function should be nonlinear. A monotonically increasing (or decreasing) S-shaped (or reverse S-shaped) function, such as shown in Figure S11-7, is usually employed. This function is called the logit response function, and has the form E1Y 2 or equivalently, E1Y 2 1 exp3 1

Horn and Bannatyne constructs were discussed in more depth in 10, and formulas for creating standard score comparisons of these constructs are provided later in this chapter.

1 x2 4

(S11-7)

The Arithmetic Digit Span Letter-Number Sequencing triad forms the WAIS-III Working Memory Index (WMI). It is similar to the WISC-III Freedom from Distractibility Factor, but contains an additional subtest and is more reliable. The name of this index, Working Memory, conveys one possible interpretation of the

[Haf05]

(S11-8)

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