The aim of the analysis of this data, available in the object spruces of the package glmtoolbox, is to assess the effect of the ozone pollution on the tree growth. The response variable is the tree size (size). A total of 79 trees, identified by the column tree, were considered in this experiment. In a first group, 54 trees were grown under an ozone-enriched atmosphere (treat=“ozone-enriched”), whereas in a second group, 25 trees were grown under a normal atmosphere (treat=“normal”). The size of each tree was observed 13 times across the time since the experiment began (days). Var(Yij) = φµ 2 ij, Corr(Yij,Yik ) = ρ |j−k| and g(µij) = β0 + β1x1ij + β2x 2 1ij + β3x 3 1ij + β4x 4 1ij + β5x2ij , where Yij = j-th measurement of size performed on the i-th tree x1ij = Time, in days, since the experiment began until the j-th measurement on the i-th tree was performed x2ij = ifthe ith tree grew underthe ozone enrichedatmosphere 0 ifthe ith tree grew underthe normal atmosphere
Treatment of severe postnatal depression This dataset, available in the object depression of the package glmtoolbox, arose from a placebo-controlled study on the efficacy of oestrogen for treatment of severe postnatal depression. A total of 61 women (subj) with severe depression were randomly assigned to either a control group (group=“placebo”), treated with a placebo patch, or a treatment group (group=“oestrogen”), treated with an oestrogen patch. Prior to the therapy all women were assessed by the Edinburgh Postnatal Depression Scale (EPDS), in which higher scores indicate higherlevels ofdepression. TheEPDS (dep) were collected monthly for 6 months once the treatment began (visit). The response (depressd) is 1 for severe depression (EDPS>=11) and 0 in other cases. Var(Yij) = µij(1−µij), Corr(Yij,Yik ) = ρ |j−k|, g(µij) = β0+β1x1ij+β2x2ij, where Yij = j-th measurement of the response performed on the i-th woman x1ij = Time, in months, since the experiment began until the j-th measurement on the i-th women was performed x2ij = 1 ifthe ith woman was treated with oestrogenpatch 0 ifthe ith woman was treated withplacebo patch