Model building with multiple dependent variables and constraints

    Research output: Contribution to journalArticlepeer-review

    15 Citations (Scopus)
    165 Downloads (Pure)

    Abstract

    The most widely used method for finding relationships between several quantities is multiple regression. This however is restricted to a single dependent variable. We present a more general method which allows models to be constructed with multiple variables on both sides of an equation and which can be computed easily using a spreadsheet program. The underlying principle (originating from canonical correlation analysis) is that of maximising the correlation between the two sides of the model equation. This paper presents a fitting procedure which makes it possible to force the estimated--model to satisfy constraint conditions which it is required to possess, these may arise from--theory, prior knowledge or be intuitively obvious. We also show that the least squares approach--to the problem is inadequate as it produces models which are not scale invariant.
    Original languageEnglish
    Pages (from-to)371-378
    JournalJournal of the Royal Statistical Society: Series D (The Statistician)
    Volume48
    Issue number3
    Publication statusPublished - 1999

    Fingerprint

    Dive into the research topics of 'Model building with multiple dependent variables and constraints'. Together they form a unique fingerprint.

    Cite this