This note describes ANOVAs and how they can be implemented in SPM. For each type of ANOVA we show what are the relevant statistical models and how they can be implemented in a GLM. We give examples of how main effects and interactions can be tested for using F-contrasts in SPM. We also show how to implement a repeated-measures M-way ANOVA with partitioned errors using a two-level procedure in SPM.

Differential equations have been used in statistics to define functions such as probability densities. But the idea of using differential equation formulations of stochastic models has a much wider scope. The author gives several examples, including simultaneous estimation of a regression model and residual density, monotone smoothing, specification of a link function, differential equation mod...

Received: 22 August 2007 / Revised: 7 April 2008 c ©2008 Springer Science + Business Media, LLC Abstract In generalized linear models with fixed design, under the assumption λn → ∞ and other regularity conditions, the asymptotic normality of maximum quasi-likelihood estimator β̂n, which is the root of the quasi-likelihood equation with natural link function ∑n i=1 Xi(yi−μ(X ′ iβ)) = 0, is obtain...

The smooth testing approach described in [2] has been used to develop a test of the distributional assumption for generalized linear models. Application of the test to help assess Poisson and logistic regression models is discussed. Power is compared to other common tests.

inventory models play an important role in determining the optimal ordering and pricing policies. much work has been reported in literature regarding inventory models with finite or infinite replenishment. but in many practical situations the replenishment is governed by random factors like procurement, transportation, environmental condition, availability of raw material etc., hence, it is nee...

The Vehicle Routing Problem (VRP) is a highly investigated logistics problem. VRP can model in-plant and out-plant material handling or whole supply chain. first article was published in 1959 by Dantzig Ramser, many varieties of have appeared since then. Transport systems are becoming more customized these days, so it necessary to develop general system that covers transport tasks. Based on the...

The Birnbaum-Saunders generalized t (BSGT) distribution is a very flflexible family of distributions that admits different degrees of skewness and kurtosis and includes some important special or limiting cases available in the literature, such as the Birnbaum-Saunders and BirnbaumSaunders t distributions. In this paper we provide a regression type model to the BSGT distribution based on the gen...

in this current study a generalized super-efficiency model is first proposed for ranking extreme efficient decision making units (dmus) in stochastic data envelopment analysis (dea) and then, a deterministic (crisp) equivalent form of the stochastic generalized super-efficiency model is presented. it is shown that this deterministic model can be converted to a quadratic programming model. so fa...

In this paper, we considered the half logistic model and derived a probability density function that generalized it. The cumulative distribution function, the $n^{th}$ moment, the median, the mode and the 100$k$-percentage points of the generalized distribution were established. Estimation of the parameters of the distribution through maximum likelihood method was accomplished with the aid of c...