By Michel Sempé, Groupe d’Auxologie Médico-Sociale (auth.), Jacques Janssen, F. Marcotorchino, J. M. Proth (eds.)

This booklet is the results of the fourth overseas Symposium on information research hung on June 1985 on the Universite Libre de Bruxelles with the help'of the ecu Institute for complex administration. because the previous ones, the association of the Symposium all started with a choice for genuine existence difficulties from which a world Com mittee chosen six issues and requested for a number of suggestions. those subject matters are : I) Multivariate and longitudinal facts on transforming into young ones 2) Prehistoric assemblages and lithic artifacts from a small We- ecu zone three) A comparability of result of ecu elections four) type of heterogeneous info concerning microcomputers five) workforce expertise in construction administration 6) Juvenile gelinquency they're coated through the S1X chapters of this e-book within the following systematic means : a) to begin with, a presentation of the matter is given within the unique context of the proper self-discipline (Medicine, archaelogy, politics, advertising, construction and education); b) Secondly, we current the answer stumbled on by way of those that offers the matter; c) thirdly, we discover the opposite retained recommendations one of the so much significative ones; v vi PREFACE d) ultimately, a brief end compares different methods. the range of the six chosen difficulties sincerely exhibits that info research can be utilized for fixing a large choice of difficulties. additionally, the truth that every one challenge is approached by way of numerous dif ferent method - a minimum of - additionally exhibits that, often, a "univer sal" statistical strategy doesn't exist.

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**Example text**

X'] is the element of This element is. in The solution we choose [D] which is nearest to the subspace n [1]1. [X'], the first non-trivial canonical component . t h e canonlca . ] [D]n[I]l. an d In the same way. • X" p' d epen d'lng t h e most on individuals and the least on observation dates. tion is. in So the solu- [X"], the first non-trivial canonical component in the canonical analysis between [X") and [I] n [D]l. 3. Practical use of the LONGI method The two above-mentioned canonical analyses are easily made if we know a basis (if possible a ¢-orthogonal.

A ° a w12 I 1. ~ Ok I Xl X2 ... a a x211 xpll x1l2 x212 xp12 a a xln2 x2n2 xlll X lnl x2nl elements (indicative functions of the dividuals) is cp-orthogonal to each of the others. in [Q] the n-dimensional subspace cp-orthogonal basis. Xp Each of the The 1. 's generate ~ [I], of which their set is a D. J elements (indicative functions of observation dates) is cp-orthogonal to each of the others. 's generate in J [Q] ~n- the k-dimensional subspace The [D], of which their set is a cp-orthogonal basis.

1 11 wll 12 ... In ° a °1 °2 a a a a a a a a o a a a a a a Each one of the ... a ° a w12 I 1. ~ Ok I Xl X2 ... a a x211 xpll x1l2 x212 xp12 a a xln2 x2n2 xlll X lnl x2nl elements (indicative functions of the dividuals) is cp-orthogonal to each of the others. in [Q] the n-dimensional subspace cp-orthogonal basis. Xp Each of the The 1. 's generate ~ [I], of which their set is a D. J elements (indicative functions of observation dates) is cp-orthogonal to each of the others. 's generate in J [Q] ~n- the k-dimensional subspace The [D], of which their set is a cp-orthogonal basis.