Guttman research interests were in the fields of
scale and
factor analysis,
multidimensional scaling and
facet theory. His mathematical and philosophical treatments of Factor analysis are among the important parts of his scientific legacy. His earlier work in scaling analysis produced what has become to be known as the
Guttman scale. Later, searching for a more flexible scaling scheme, Guttman explored
Partial Order Scalogram Analysis (POSA) and applied it in empirical studies. Notably, Guttman first proved several fundamental theorems in matrix algebra, as discussed in papers by Hubert, Meulman and Heiser (2000) and Takane and Yanai (2005). Several of Guttman's contributions, such as
Smallest Space Analysis (SSA), have been incorporated into computer packages. Guttman was described as a brilliant innovator who "saw theory in method and method in theory", was "informed by high sophistication in mathematics, statistics, sociology and psychology", and one who "made a major contribution to democratic policy-making in the new state" and "was concerned with the 'well-being' of individuals, groups and society". Guttman published in numerous journals and books, including over 300 pages in
Psychometrika. Many of his papers are still quoted in the scientific literature as being relevant and important to current statistical and mathematical advances. His innovative methodological work on attitudes was published in the 4th volume of Studies in Social Psychology in World War II (more popularly called
The American Soldier series, after the title of the first two volumes). == References ==