PREFACE DURING the past ten years, psychologists, both in this country and in America, have shown a rapidly increasing interest in factor-analysis as an instrument of research. In Great Britain, following the remarkable lead of Professor Spearman over thirty-five years ago, a vast stream of factorial work has issued from our laboratories and schools ; but a large proportion of it—particularly that which deals, not with results, but with methods—has remained buried in postgraduate theses or in special reports, and so has never become generally known. Indeed, until quite recently, factor-analysis has been looked upon as a peculiar and some- what isolated branch of psychology—at best a field for specialists, at worst the dubious hobby of an esoteric school, but in any case beyond the ken of the ordinary scientific reader. Nevertheless, though its abstract foundations are still the subject of some controversy, its concrete applications, particularly in the spheres of education and vocational guidance, have proved more stimulating and more fruitful than any other line of approach. " The entire practice of mental testing and the whole body of individual psychology rest," we have been told, " upon a factorial basis." To-day the theory of mental factors is discussed in almost every psychological textbook. All our students are expected to know something of its leading principles and of its main achievements. And yet there is no work of reference on the subject that does not presuppose a mathematical back- ground that very few students possess. The majority see in it their fons asinorum : for factor-analysis is still presented to them as an abstruse statistical technique, too specialized for any but the advanced mathematician to follow or employ. The standpoint advocated in this book is very different.