One-sided tolerance interval in a two-way balanced nested model with mixed effects

In many research areas (such as public health, environmental contamination, and others) one deals with the necessity of using data to infer whether some proportion (%) of a population of interest is (or one wants it to be) below and/or over some threshold, through the computation of tolerance interval. The idea is, once a threshold is given, one computes the tolerance interval or limit (which might be one or two - sided bounded) and then to check if it satisfies the given threshold. Since in this work we deal with the computation of one - sided tolerance interval, for the two-sided case we recomend, for instance, Krishnamoorthy and Mathew [5]. Krishnamoorthy and Mathew [4] performed the computation of upper tolerance limit in balanced and unbalanced one-way random effects models, whereas Fonseca et al [3] performed it based in a similar ideas but in a tow-way nested mixed or random effects model. In case of random effects model, Fonseca et al [3] performed the computation of such interval only for the balanced data, whereas in the mixed effects case they dit it only for the unbalanced data. For the computation of twosided tolerance interval in models with mixed and/or random effects we recomend, for instance, Sharma and Mathew [7]. The purpose of this paper is the computation of upper and lower tolerance interval in a two-way nested mixed effects models in balanced data. For the case of unbalanced data, as mentioned above, Fonseca et al [3] have already computed upper tolerance interval. Hence, using the notions persented in Fonseca et al [3] and Krishnamoorthy and Mathew [4], we present some results on the construction of one-sided tolerance interval for the balanced case. Thus, in order to do so at first instance we perform the construction for the upper case, and then the construction for the lower case.

Characterization of instrumental and sensory quality of papaya ‘Solo' and 'Local' produced in Santiago - Cape Verde and critical analysis on the importation of papaya

O estudo teve por objectivo fazer a caracterização dos atributos de qualidade de duas variedades (Solo e Local) de papaia produzida em Santiago, Cabo Verde, e definir os atributos que os distribuidores procuram. Foram realizadas avaliações físico-químicas, sensorial e um estudo de mercado. Os parâmetros avaliados foram o peso, cor interior e exterior, textura, espessura da polpa, pH, acidez titulável, SST, fez-se avaliação sensorial a aplicação de um questionário aos importadores de papaia. Os parâmetros SST, Acidez, pH e peso variam significativamente com as variedades, sendo as papaias da variedade Local mais pesadas. A textura varia em função dos graus de maturação, a firmeza apresenta uma diminuição ao longo do amadurecimento, na deformação percebe-se um decréscimo com avançar da maturação, nos parâmetros de cor interna e externa as diferenças encontram-se na interacção entre Variedade e Estado de maturação. A variedade Solo foi mais valorizada na avaliação sensorial assim como no preço, certificação/selo qualidade e doçura pelos distribuidores.