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Computer Procedure and Interpretation The model in Figure 24.2 is estimated using ML estimation and the Satorra-Bentler Scaled chi-square test statistic because the data are not normally distributed, thus violating multivariate normality. In this model Mardia s normalized multivariate kurtosis estimate is 224.25. This can be interpreted like a z score. Therefore, the probability level associated with a normalized estimate of 224.25 is less than .001. Output for the model estimation and chi-square test statistic is given in Table 24.2. Several chi-square test statistics are given in the full output. In this severely edited output, only the chi-squares associated with the Satorra-Bentler scaled chi-square are given. The INDEPENDENCE MODEL CHI-SQUARE = 757.123, with 10 dfs tests the hypothesis that the measured variables are orthogonal. Therefore, the probability associated with this chi-square should be small, typically less that .05. The model chi-square test statistic is labeled CHI-SQUARE = 14.3775 BASED ON 3 DEGREES OF FREEDOM. This chisquare tests the hypothesis that the difference between the estimated population covariance matrix and the unstructured population covariance matrix (as represented by the sample covariance matrix) is not signi cant. Ideally, the probability associated with this chi-square should be large, greater than .05. In Table 24.2 the probability associated with the model chi-square equals p = .00243. Strictly interpreted, this indicates that the estimated model-based population covariance matrix and the unstructured population covariance matrix, viewed through the sample covariance matrix, do differ signi cantly; that is, the model does not t the data. However, the chi-square test statistic is strongly affected by sample size.

a license number by the state and can finally represent himself to the public as a psychologist capable of independent practice. In most states, the license must be renewed every year or two. To do so, the psychologist will typically need to document that he has not been convicted of any felony offenses, are not in trouble due to ethical violations, demonstrate successful completion of a certain number of continuing education credits (usually about 20 hours per year), and pay a licensing fee. The number of hours and the types of courses acceptable for continuing education vary from state to state. Topics for continuing education include the current understanding of the assessment and treatment of various psychiatric diagnoses, learning new assessment or treatment techniques, understanding specific concerns of diverse populations, how to avoid legal and ethical dilemmas, and other topics.

The investigation of the brain s consciousness, especially the state of brain death, is highly important Brain death is currently used as a de nition for death among the legal and medical communities It is for this reason that brain death needs to be determined precisely so as not to cause patients potential risk The legal de nition of brain death is an irreversible loss of forebrain and brainstem functions [2]; however, it is very dif cult to realize brain death diagnosis precisely due to clinical dif culties Specialized personnel and technology are needed to perform a series of tests that are expensive and time consuming and can sometimes bring risk to the patient In this chapter, brain death means an initial diagnosis Some of the tests require that medical care instruments be removed.

is called the derivative matrix of A(x). (See Sections 10.1 and 10.9 for details.)