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Bias and Precision of the Squared Canonical Correlation Coefficient under Nonnormal Data Conditions
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This dissertation: (a) investigated the degree to which the squared canonical correlation coefficient is biased in multivariate nonnormal distributions and (b) identified formulae that adjust the squared canonical correlation coefficient (Rc2) such that it most closely approximates the true population effect under normal and nonnormal data conditions. Five conditions were manipulated in a fully-crossed design to determine the degree of bias associated with Rc2: distribution shape, variable sets, sample size to variable ratios, and within- and between-set correlations. Very few of the condition combinations produced acceptable amounts of bias in Rc2, but those that did were all found with first function results. The sample size to variable ratio (n:v)was determined to have the greatest impact on the bias associated with the Rc2 for the first, second, and third functions. The variable set condition also affected the accuracy of Rc2, but for the second and third functions only. The kurtosis levels of the marginal distributions (b2), and the between- and within-set correlations demonstrated little or no impact on the bias associated with Rc2. Therefore, it is recommended that researchers use n:v ratios of at least 10:1 in canonical analyses, although greater n:v ratios have the potential to produce even less bias. Furthermore,because it was determined that b2 did not impact the accuracy of Rc2, one can be somewhat confident that, with marginal distributions possessing homogenous kurtosis levels ranging anywhere from -1 to 8, Rc2 will likely be as accurate as that resulting from a normal distribution. Because the majority of Rc2 estimates were extremely biased, it is recommended that all Rc2 effects, regardless of which function from which they result, be adjusted using an appropriate adjustment formula. If no rationale exists for the use of another formula, the Rozeboom-2 would likely be a safe choice given that it produced the greatest …
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Evaluating Quality Standards for Teachers in the Field of Emotional and Behavioral Disorders
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The purpose of this study is to determine quality indicators in the field of emotional and behavioral disorders based on six empirically validated standards outlined by the Council for Exceptional Children. Invitations to participate in the study were disseminated to a randomized selection of members within the Council for Children with Behavioral Disorders. Respondents (N = 199) included teachers (n = 128) and related service personnel (n = 71) who directly and indirectly work with students with emotional and behavioral disorders throughout the United States. A rank order list of the most important knowledge and skills to teachers with regard to demographic characteristics (i.e., types of communities, educational settings, or years of experience) was developed. Additionally, a rank order list was developed to determine which knowledge and skills related service personnel felt should be most important to teachers. Level of agreement was determined between teachers and related service personnel and variances among the rank order lists were examined. Results of the study revealed statistically significant variances in the rank order of knowledge and skills among educational settings of teachers (i.e., self-contained, resource, and general education/inclusion) across the standard of Learning Environments and Social Interactions. Rank orders in two knowledge and skills (i.e., assistive technology and structure) were significant. When rank order was compared between teachers and related service personnel, level of agreement was low within the standards of assessment (58%) and collaboration (63%).
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Factors related to technology implementation of K-12 principals and teachers.
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The purpose of this study was to determine the relationship between principals' leadership styles and principals'/teachers' implementation of technology. The Leadership Effectiveness and Adaptability Description (LEAD) Self was used to identify the primary and secondary leadership styles of principals. The Level of Technology Implementation (LoTi) Questionnaire was used to identify the level of technology implementation (LoTi), personal computer use (PCU) and current instructional practice (CIP) scores for both teachers and principals. Data collected from 390 K-12 teachers and 22 principals of three large suburban districts in the Dallas-Fort Worth Metroplex was included in data analysis. The findings suggest that differing leadership styles do play a role in the LoTi, PCU, and CIP scores among teachers. Based on descriptive statistics it was determined that teachers with "participating" principals had higher mean LoTi and PCU scores than those with "telling" and "selling" principals. The difference in the mean PCU scores was statistically significant (p<.05) for teachers with "selling" and "participating" principals. Results also showed there was a statistical significance (p<.05) in the mean PCU and CIP scores of teachers working for principals with weak and high adaptability. Due to the low number of principals participating in this study, there is a need to conduct the same research using a larger more diverse sample of principals. The majority of principals in this study had either a primary leadership style of "participating" and a secondary leadership style of "selling" or vice versa. A larger population of principals would hopefully allow for the study of additional leadership styles and their effect on teacher use and implementation of technology.