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looser, ordinal fashion, such as Do individuals in this group or under this condition tend to score higher than do those in the other In this section we describe a measure, often written , for answering research questions about central tendency of two groups, conditions, or occasions. and its sample counterpart, d, directly re ect the tendency for one set of scores to be higher than the other, which a mean difference does not, unless the later is converted to some kind of correlational index. In addition to describing d analysis, ways in which this ordinal measure can be applied in more complex research designs are suggested. is a direct quanti cation of the extent to which scores in one set are higher than scores in the other. This measure has been discussed in nonparametric statistics books for years (Agresti, 1984; Hettmansperger, 1984; Randles & Wolfe, 1979), but it has not been widely employed. Its application was emphasized and extended recently by Cliff (1991, 1993, 1996b). For a score X 1 sampled from one population and a score X 2 from another, is the probability that X 1 is higher than X 2 , minus the reverse probability: = Pr( X 1i > X 2j ) Pr( X 1i < X 2j ). (25.57)

If not, one can either start with (24 1) or 23 calls, then with (24 2) or 22 calls, and so on until a point is reached at which all the connection attempts are successful Alternatively, one can start with only one connection request, then increase it to two, three, four, and so on, and monitor the status of the connection requests in Hammer s monitor window to determine the maximum number (eg, n1 ) of calls that can be started simultaneously resulting in successful connections A owchart describing various phases of step 1 is presented in Figure B-4 Step 2: Once step 1 is completed, one must determine experimentally the intercall-burst interval that allows establishment of connections on all 24 channels for one set of T1 connection to the IP-PSTN GWs from the Hammer tester.

Calculate H (p), H (q), D(p||q), and D(q||p). Verify that in this case, D(p||q) = D(q||p). 2.36 Symmetric relative entropy. Although, as Problem 2.35 shows, D(p||q) = D(q||p) in general, there could be distributions for which equality holds. Give an example of two distributions p and q on a binary alphabet such that D(p||q) = D(q||p) (other than the trivial case p = q). Relative entropy. Let X, Y, Z be three random variables with a joint probability mass function p(x, y, z). The relative entropy between the joint distribution and the product of the marginals is D(p(x, y, z)||p(x)p(y)p(z)) = E log p(x, y, z) . (2.180) p(x)p(y)p(z)

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The induced error of the re ected path is then equal to 0.25 chip (about 73 m) in comparison with the direct path only case. Let us now see what happens when the delay is 1.5 chips (around 440 m). Figure 8.9 shows the resulting form of the correlation functions. It can be observed that the rst early-late zero crossing is good at 400 chips, even if multiple zero crossings occur. As a matter of fact, the impact of multipath depends on the value of the delay of the re ected path.

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All spreadsheets let you use names for cells and ranges, but Excel handles names in some unique ways. A name is an identifier that enables you to refer to a cell, range, value, formula, or graphic object. Formulas that use names are much easier to read than formulas using cell references, and it s much easier to create formulas that use named references.

1. J. Rabaey, J. Ammer, T. Karalar, S. Li, B. Otis, M. Sheets, and T. Tuan. Picoradios for wireless sensor networks: The next challenge in ultra-low-power design. In Proceedings of the International Solid-State Circuits Conference, San Francisco, California, February 2002. 2. B. Warneke, B. Atwood, and K. S. J. Pister. Smart dust mote forerunners. In Proceedings of the 14th Annual International Conference on Microelectromechanical Systems (MEMS 2001), pages 357 360, Interlaken, Switzerland, January 2001. 3. J. Hill and D. Culler. Mica: A wireless platform for deeply embedded networks, IEEE Micro, 22(6):12 24, 2002.