A Study on the Correlation of Bivariate And Trivariate Normal Models

Suppose two or more variables are jointly normally distributed. If there is a common relationship between these variables it would be very important to quantify this relationship by a parameter called the correlation coefficient which measures its strength, and the use of it can develop an equation for predicting, and ultimately draw testable conclusion about the parent population. This research focused on the correlation coefficient ρ for the bivariate and trivariate normal distribution when equal variances and equal covariances are considered. Particularly, we derived the maximum Likelihood Estimators (MLE) of the distribution parameters assuming all of them are unknown, and we studied the properties and asymptotic distribution of . Showing this asymptotic normality, we were able to construct confidence intervals of the correlation coefficient ρ and test hypothesis about ρ. With a series of simulations, the performance of our new estimators were studied and were compared with those estimators that already exist in the literature. The results indicated that the MLE has a better or similar performance than the others.

Comparative administrative reform: The rhetoric and reality of the Civil Service reform programs in Uganda and Tanzania

Administrative reform is a challenging endeavor for both developed and developing countries alike. For developing countries, the challenge is greater because numerous reforms are implemented concurrently sometimes under conditions of resource scarcity and political instability. So far there is no consensus as to what makes some reforms succeed and others fail. The current study seeks to fill that gap by offering an empirical comparative analysis of the administrative reforms initiated in Uganda and Tanzania since the early 1990s. The purpose of the study is to explain the similarities and differences, and give reasons for the successes and failures of the reform programs in the two countries. It focuses on four major areas; the size of the civil service, pay reform, capacity building, and ethics and accountability. Data were collected via in-depth face to face interviews with 35 key government officials and the content analysis of various documents. The results indicate that the reforms generated initial substantial reduction in the size of the public services in both countries. In Uganda, the traditional civil service was reduced from 140,500 in 1990 to 41,730 in 2004; while in Tanzania Ministries, Departments, and Agencies were reduced by 25%. Pay reform has generated substantial increases in civil servants' salaries in both countries but in Uganda, the government has not been able to abide by the pay strategy while in Tanzania the strategy guides the increments. Civil Service capacity building efforts have focused on enhancing the skills of the personnel. Training needs assessments were undertaken in all ministries in Uganda and a training policy was formulated. In Tanzania, the training needs assessments are still under way and a training policy has not yet been developed. Ethics and accountability are great challenges in both countries, but in Tanzania, there is more political will and commitment to improve the integrity of the civil service. The findings reveal that although Uganda started the reform with much more rigor and initial success, Tanzania has surpassed it and has a more stable, consistent, and promising reform record. This is because Uganda's leadership lacks political legitimacy. The country has since the late 1990s experienced a civil war in the northern and western parts of the country while Tanzania has benefitted from relative peace and high level political legitimacy.

Antipredator behavior and cue recognition by multiple Everglades prey to a novel cichlid predator

Novel predator introductions are thought to have a high impact on native prey, especially in freshwater systems. Prey may fail to recognize predators as a threat, or show inappropriate or ineffective responses. The ability of prey to recognize and respond appropriately to novel predators may depend on the prey’s use of general or specific cues to detect predation threats.We used laboratory experiments to examine the ability of three native Everglades prey species (Eastern mosquitofish, flagfish and riverine grass shrimp) to respond to the presence, as well as to the chemical and visual cues of a native predator (warmouth) and a recentlyintroduced non-native predator (African jewelfish). We used prey from populations that had not previously encountered jewelfish. Despite this novelty, the native warmouth and nonnative jewelfish had overall similar predatory effects, except on mosquitofish, which suffered higher warmouth predation. When predators were present, the three prey taxa showed consistent and strong responses to the non-native jewelfish, which were similar in magnitude to the responses exhibited to the native warmouth. When cues were presented, fish prey responded largely to chemical cues, while shrimp showed no response to either chemical or visual cues. Overall, responses by mosquitofish and flagfish to chemical cues indicated low differentiation among cue types, with similar responses to general and specific cues. The fact that antipredator behaviours were similar toward native and non-native predators suggests that the susceptibility to a novel fish predator may be similar to that of native fishes, and prey may overcome predator novelty, at least when predators are confamilial to other common and longer-established non-native threats.

Biomarker Assessment of Spatial and Temporal Changes in the Composition of Flocculent Material (Floc) in the Subtropical Wetland of the Florida Coastal Everglades

Flocculent material (floc) is an important energy source in wetlands. In the Florida Everglades, floc is present in both freshwater marshes and coastal environments and plays a key role in food webs and nutrient cycling. However, not much is known about its environmental dynamics, in particular its biological sources and bio-reactivity. We analysed floc samples collected from different environments in the Florida Everglades and applied biomarkers and pigment chemotaxonomy to identify spatial and seasonal differences in organic matter sources. An attempt was made to link floc composition with algal and plant productivity. Spatial differences were observed between freshwater marsh and estuarine floc. Freshwater floc receives organic matter inputs from local periphyton mats, as indicated by microbial biomarkers and chlorophyll-a estimates. At the estuarine sites, the floc is dominated by mangrove as well as diatom inputs from the marine end-member. The hydroperiod (duration and depth of inundation) at the freshwater sites influences floc organic matter preservation, where the floc at the short-hydroperiod site is more oxidised likely due to periodic dry-down conditions. Seasonal differences in floc composition were not consistent and the few that were observed are likely linked to the primary productivity of the dominant biomass (periphyton in the freshwater marshes and mangroves in the estuarine zone). Molecular evidence for hydrological transport of floc material from the freshwater marshes to the coastal fringe was also observed. With the on-going restoration of the Florida Everglades, it is important to gain a better understanding of the biogeochemical dynamics of floc, including its sources, transformations and reactivity.

Comparative Administrative Reform: The Rhetoric and Reality of the Civil Service Reform Programs in Uganda and Tanzania

Administrative reform is a challenging endeavor for both developed and developing countries alike. For developing countries, the challenge is greater because numerous reforms are implemented concurrently sometimes under conditions of resource scarcity and political instability. So far there is no consensus as to what makes some reforms succeed and others fail. The current study seeks to fill that gap by offering an empirical comparative analysis of the administrative reforms initiated in Uganda and Tanzania since the early 1990s. The purpose of the study is to explain the similarities and differences, and give reasons for the successes and failures of the reform programs in the two countries. It focuses on four major areas; the size of the civil service, pay reform, capacity building, and ethics and accountability. Data were collected via in-depth face to face interviews with 35 key government officials and the content analysis of various documents. The results indicate that the reforms generated initial substantial reduction in the size of the public services in both countries. In Uganda, the traditional civil service was reduced from 140,500 in 1990 to 41,730 in 2004; while in Tanzania Ministries, Departments, and Agencies were reduced by 25%. Pay reform has generated substantial increases in civil servants’ salaries in both countries but in Uganda, the government has not been able to abide by the pay strategy while in Tanzania the strategy guides the increments. Civil Service capacity building efforts have focused on enhancing the skills of the personnel. Training needs assessments were undertaken in all ministries in Uganda and a training policy was formulated. In Tanzania, the training needs assessments are still under way and a training policy has not yet been developed. Ethics and accountability are great challenges in both countries, but in Tanzania, there is more political will and commitment to improve the integrity of the civil service. The findings reveal that although Uganda started the reform with much more rigor and initial success, Tanzania has surpassed it and has a more stable, consistent, and promising reform record. This is because Uganda’s leadership lacks political legitimacy. The country has since the late 1990s experienced a civil war in the northern and western parts of the country while Tanzania has benefitted from relative peace and high level political legitimacy.