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But what do free associations tell us about our dreams Whatever the manifest content of dreams, they are purportedly wish-fulfilling in at least two logically distinct specific ways: For every dream D, there exists at least one normally unconscious infantile wish W such that (1) W is the motivational cause of D, and (2) the manifest content of D graphically displays, more or less disguisedly, the state of affairs desired by W As Freud opined (1925, p 44): When the latent dream-thoughts that are revealed by the analysis [via free association] of a dream are examined, one of them is found to stand out from among the rest the isolated thought is found to be a wishful impulse But Freud manipulated the free associations to yield a distinguished wish motive (Glymour, 1983).

(eg, speed and accuracy of response) Multiple regression is the extension of bivariate regression to predicting the DV from several (potentially correlated) IVs instead of from a single IV Most multivariate analyses have all the assumptions of the univariate analysis plus others due to the relationships between multiple DVs or multiple IVs For the most part, these assumptions are a logical extension of their univariate counterparts Multivariate Normality Multivariate normality is the assumption that all variables and all linear combinations of those variables are normally distributed When the assumption is met, the residuals of analysis are normally distributed and independent The assumption of multivariate normality is not readily tested because it is impossible to test all linear combinations of variables for normality Those tests that are available are overly sensitive.

5. Venture capital firms are looking everywhere for new, hot, growing companies they can invest in and eventually take public. More on this is in 3. With all this courting going on, you might as well get in on it. How can you make some of these business loan dollars yours Here are easy steps you can take that can bring big money into your business: 1. Carefully read the Money Available ads in the IWS Newsletter, your local large-city Sunday newspaper, and financial newspapers such as the Wall Street Journal. You ll probably see one or more banks advertising business loans, lines of credit, and business credit cards. Search the Internet for suitable lenders. You ll find hundreds of Internet lenders in the IWS Internet Lenders report. 2. Contact each lender by phone, e-mail, fax, or postal mail. Ask for their free information describing their offers for business loans. 3. Study the material you receive. Read every part to see how you can qualify for the loans being offered to businesses. 4. Fill out the loan application sent to you. Follow the suggestions given earlier in this chapter on typing your loan application, using a copy to refine your information. There s lots of business money available to you today. All you need to do is start searching for it, using the methods given here.

The assumption of multivariate normality is partially checked by examining the normality of individual variables and the linearity and homoscedasticity of pairs of variables (discussed later) or by examining the residuals of analysis The assumption is certainly violated, at least to some extent, if the individual variables are not normally distributed (or lack pair-wise linearity and homoscedasticity) or the residuals are not normally distributed Figure 58 shows scatter plots of some idealized residuals from a regression analysis in which residuals for a group of IVs are plotted against predicted scores on a DV (Y ) When there is multivariate normality, the envelope of residuals is roughly the same width over the range of the predicted DV, and the relationship is linear Similar residuals plots are available in many programs of all major statistical packages Transformations that improve univariate normality also facilitate multivariate normality.

Quite independently of Freud s abortive therapeutic argument for the causal probativeness of free association, he offered his analysis of his 1895 Specimen Irma Dream as a nontherapeutic argument for the method of free association as a cogent means of identifying hypothesized hidden, forbidden wishes as the motives of our dreams But in my detailed critique of that unjustly celebrated analysis (Gr nbaum, 1984, pp 216 239), I have argued that Freud s account is, alas, no more than a piece of false advertising: (1) It does not deliver at all the promised vindication of the probativeness of free association; (2) it does nothing toward warranting his foolhardy dogma that all dreams are wish-fulfilling in.

for some column vector 'u! to be determined. We denote the optimal choice for 20 by wo; the entries of lco* will correspond to the optimal tap coefficients for the equalizer. According to Thm. 3.1, w o *is given by wo* = R,,R;~ (5.12)