There are many writers who would class Ward with the pre-scientific contributors to sociological thought. His methods, it is true, were largely deductive; his psychology was seriously faulty; his philosophy was inefficient. Nevertheless, he pointed the way for sociologists so clearly that in this treatise his work has been considered as giving the trend to recent sociology, rather than as being the last word of discredited types of social thought.

Then there are other types of sociological methodology of which mention should be made, notably, the statistical, and the classificatory procedures. The statistical approach had its origin in the early census. There are evidences that rulers and kings, at least two or three millenniums before Christ, had enumerations of their subjects made. In connection with poor-law administration, people as early as the Roman Era were counted. But it was not until the eighteenth century that statistics became scientific, with statistical laws drawn from a study of tabulated facts. Quetelet gives 1820 as the birth year of statistical science. It was Frederick William I of Prussia who is reported to have had an enumeration made of occupational facts; and Frederick the Great, with having established a system for making regular statistical studies of population. It is said that early in the eighteenth century the University of Jena began to offer courses in statistics.

In England, in the latter part of the seventeenth century, Captain John Graunt is credited with applying methods of counting, measurement, and induction to the births and deaths in London. His studies were referred to as political arithmetic, and were a forerunner of the current investigations in vital statistics. Malthus made use of statistical methods in his work (1798) on population changes.

Quetelet (1796–1874) is usually considered the founder of statistical science. He not only applied the method of counting to the study of the members of human society (the census method in its common form), but he tried to get at the problem of causation, and to indicate rules of procedure for making causal studies in statistics. Although this celebrated Belgian statistician tabulated and analyzed facts ranging from the astronomical to the societary fields, his ideas can be mentioned here only so far as they contribute to the subject of social thought. Quetelet pointed out certain of the pitfalls in the way of gathering accurate data. He improved the methods of census taking, and undertook the difficult tasks that are involved in qualitative human studies.

Among the results of Quetelet’s work, the concept of “the average man” is well known. Quetelet defined the law of averages and described types, especially the average individual. Although it is very important and useful to know about the “average man,” the term is practically fictitious, since no one even in a large group exactly fits the description. All individuals are either “above” or “below” the average.

The contributions of Quetelet in the field of social statistics were admirably supplemented by the achievements of Le Play (1806–1882). This French sociologist and mining engineer applied the methods of physical science to social science. He insisted upon observation of data and the use of induction in making generalizations. His method is illustrated by his studies in family budgets. In order to secure accurate data he lived with individual families, studying at first-hand the conditions by which they made a livelihood. Le Play opposed laissez-faire theories and urged programs of reform through the journal which he founded, namely, La Reforme Sociale. He rejected socialism, and advocated the method of conciliation and sympathy for effecting agreements among employers and employees.

Similar methods were evolved by Engels and Bücher, German investigators. Engels’ studies of family budgets led him to draw certain average observations. These “averages” are known as Engels’ laws, for example: (1) The smaller the income, the larger the percentage of expenditure for food. (2) The percentage of expenditure for clothing, and for lodging or rent, varies directly with the income. (3) The larger the income, the larger the percentage of expenditures for sundries (including luxuries).

The statistical method has been carried forward by a large number of social investigators. With averages, modes, and medians, it is now possible to make accurate quantitative studies. Current statistical methods include the use of index numbers, frequency tables, discrete series, deviations, skewness, correlations. Statistics has thrown a flood of light upon important phases of societary life, such as the economic, where wage scales and price levels are significant concepts. Statistics has been widely utilized in the study of crime and poverty. The various methods of graphic presentations are valuable in interpreting tables of statistical data to the lay mind.

Statistical methods can be used, however, to prove almost anything. The ordinary individual is helpless when statistical methods are treated unscrupulously. On the other hand, it is probably true that social thought will become increasingly accurate by the judicious use of statistical studies.

A recent development, closely related to statistical science, is the social survey. Beginning with the Pittsburg Survey in 1907–1908, the social survey method has been widely adopted in the United States. Its use has been applied to inventories of a specific community, such as a rural district or a small number of city blocks. There is the specific survey of a given social problem, such as housing or poverty. Then there is the survey of an entire industry or a school system.