The coefficient of determination is a function of residuals in the General Linear Models. The deviance, logit, standardized and the studentized residuals were examined in generalized linear models in order to determine the behaviour of residuals in this class of models and thereby design a new pseudo R-squared goodness-of-fit measure. The Newton-Raphson estimation procedure was adopted. It was observed that these residuals exhibit patterns that are unique to the subpopulations defined by levels of categorical predictors. Residuals block on the basis of signs, where positive signs indicate success responses and negative signs failure responses. It was also observed that the deviance is a close approximation of the studentized residual. The logit residual is two times the size of the standardized residuals. Borrowing from the Nagelkerke's improvement of Cox and Snell's goodness-of-fit measure in generalized linear models and the coefficient of determination counterpart of the general linear model, a new pseudo R squared goodness-of-fit test which uses predicted probabilities and a monotonic link function is here proposed to serve both the linear and Generalized Linear Models

This research is conducted to examine what is currently evaluated with respect to teaching in Nigerian public universities and to produce instruments that would be useful for examining the course and teaching effectiveness of course lecturers. Telephone interview of ten (10) professors in ten public Nigerian Universities is used to elicit information on the current state of evaluation of teaching while a document analysis reveals the concerns of National Universities Commission with lecturers during programme accreditation. Finding indicates that teaching effectiveness is grossly ignored in the lecturer appraisal process. An 18 item questionnaire and another 15 item questionnaire measuring teaching and course effectiveness respectively is constructed. After a test retest procedure using four lecturers and four courses, the instruments yielded a reliability coefficient ranging from -0.568 to 0.591 for lecturers and 0.548 to 0.944 for the courses. The correlation coefficient values clearly reveal that the course evaluation and lecturers’ evaluation forms were adequate to generate information on the course and lecturer effectiveness. It is therefore recommended, among other things that the National Universities Commission (NUC) as a regulatory body should make the evaluation of teaching a mandatory policy for all universities.

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The bivariate logistic regression model can be used to obtain the probability of joint events as well as individual events where there are two response variables and several explanatory variables. The existing bivariate logistic model approach appears intractable. This paper provides a modeling procedure that addresses this problem. This approach compares favourably with the existing procedure. The new approach is used to model the probability of malaria and typhoid infections, using age, sex and location of the patients as associated factors. The marginal probabilities showed a decrease in malaria infection with age. Sex and location showed a significant impact on the probability of malaria infection. Typhoid fever infection on the other hand indicates an increase with age. Sex has no significant impact on the probability of typhoid infection. The joint model shows that all variables are statistically significant with odds value greater than 1 indicating higher likelihood of joint infection and odds value that are less than one indicating lower likelihood of joint infections, χ2:12.02828 (0.00729)

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