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Variable Rules: Performance as a Statistical Reflection of Competence

Published online by Cambridge University Press:  12 March 2026

Henrietta J. Cedergren
Affiliation:
Université du Québec à Montréal
David Sankoff
Affiliation:
Université de Montréal

Abstract

Speech performances are here considered as statistical samples drawn from a probabilistic language competence. This competence is modeled in conventional generative terms, except that optional rules are assigned application probabilities as functions of the structure of the input strings, possibly depending on the extralinguistic environment as well. We develop the mathematical background for these variable rules, which were introduced by Labov, and we apply the theory and methodology to examples from Spanish, French, and English. The data consist of relative frequencies of rule application for different types of input string, and they provide a check on the frequencies predicted by variable rules. This study supports the hypothesis that the various features in rule structural descriptions tend to act independently, in the statistical sense, on rule probabilities. The analytic framework for variable rules is easily and naturally extendable to take into account the effect of sociolinguistic and stylistic features on application frequencies.

Information

Type
Research Article
Copyright
Copyright © 1974 Linguistic Society of America

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References

Bailey, Charles-James N. 1971. Trying to talk in the new paradigm. Papers in Linguistics 4. 312–38.CrossRefGoogle Scholar
Bailey, Charles-James N., & Shuy, R. W. (eds.) 1973. New ways of analyzing variation in English. Washington, D.C.: Georgetown University Press.Google Scholar
Bickerton, Derek. 1971. Inherent variability and variable rules. Foundations of Language 7. 457–92.Google Scholar
Bickerton, Derek. 1973. Quantitative versus dynamic paradigms: the case of Montreal que. In Bailey & Shuy, 2343.Google Scholar
Canfield, D. Lincoln. 1962. La pronunciación del español en América. Bogotá: I.C.C.Google Scholar
Cedergren, Henrietta. 1973a. On the nature of variable constraints. In Bailey & Shuy, 1322.Google Scholar
Cedergren, Henrietta. 1973b. Interplay of social and linguistic factors in Panama. Cornell dissertation.Google Scholar
DeCamp, David. 1971. Toward a generative analysis of a post-creole speech continuum. Pidginization and creolization of languages, ed. by Hymes, D., 349–70. Cambridge: University Press.Google Scholar
Elliot, Dale, Legum, Stanley; & Thompson, Sandra A. 1969. Syntactic variation as linguistic data. Papers from the 5th Regional Meeting, Chicago Linguistic Society, 52–9.Google Scholar
Estes, W. K. 1964. Probability learning. Categories of human learning, ed. by Melton, A. W., 90128. New York: Academic Press.Google Scholar
Klein, Sheldon. 1965. Control of style with a generative grammar. Lg. 41. 619–31.Google Scholar
Kuhn, Thomas S. 1970. The structure of scientific revolutions. Chicago: University of Chicago Press.Google Scholar
Labov, William. 1969. Contraction, deletion and inherent variability of the English copula. Lg. 45. 715–62.Google Scholar
Labov, William. 1971. Methodology. A survey of linguistic science, ed. by Dingwall, William O., 412–97. College Park: University of Maryland Linguistics Program.Google Scholar
Labov, William. 1973a. Sociolinguistic patterns. Philadelphia: University of Pennsylvania Press.Google Scholar
Labov, William. 1973b. Language in the Inner City. Philadelphia: University of Pennsylvania Press.Google Scholar
Labov, William. 1973c. The meanings of words and their boundaries. In Bailey & Shuy, 340–73.Google Scholar
Lee, W. 1971. Decision theory and human behavior. New York: Wiley.Google Scholar
Lehrer, Adrienne. 1970. Indeterminacy in semantic description. Glossa 4. 87110.Google Scholar
Ma, Roxana, & Herasimchuk, Eleanor. 1968. The linguistic dimensions of a bilingual neighborhood. Bilingualism in the Barrio, ed. by Fishman, J. et al., 349464. Bloomington: Indiana University.Google Scholar
Navarro-Tomás, Tomás. 1963. Manual de pronunciación española. New York: Hafner.Google Scholar
Ricord, E. 1971. El español de Panamá. Panamá: University of Panama.Google Scholar
Sankoff, David. 1971a. Branching processes with terminal types: application to context-free grammars. Journal of Applied Probability 8. 233–40.CrossRefGoogle Scholar
Sankoff, David. 1971b. Dictionary structure and probability measures. Information and Control 19. 104–13.CrossRefGoogle Scholar
Sankoff, David, & Rousseau, Pascale. MS. A method for assessing variable rule and implicational scale analyses of linguistic variation. To appear, Proceedings of the International Conference on Computers in the Humanities, ed. by Mitchell, L., Edinburgh University Press.Google Scholar
Sankoff, David, & Sankoff, Gillian. 1973. Sample survey methods and computer assisted analysis in the study of grammatical variation. Canadian languages in their social context, ed. by Darnell, R., 763. Edmonton: Linguistic Research, Inc.Google Scholar
Sankoff, Gillian. MS. A quantitative paradigm for studying communicative competence. Conference on the Ethnography of Speaking, Austin, Texas.Google Scholar
Sankoff, Gillian, & Cedergren, Henrietta J. 1972. Sociolinguistic research on French in Montreal. Language in Society 1. 173–4.CrossRefGoogle Scholar
Suppes, Patrick. 1970. Probabilistic grammars for natural languages. Synthèse 22. 95116.CrossRefGoogle Scholar
Tucker, G. R. 1967. French speakers' skill with grammatical gender. McGill University dissertation.Google Scholar
Weinreich, Uriel, Labov, William; & Herzog, Marvin I. 1968. Empirical foundations for a theory of language change. Directions for historical linguistics, ed. by Lehmann, W. P. & Malkiel, Y., 97195. Austin: University of Texas Press.Google Scholar
Wolfram, Walter A. 1969. A sociolinguistic description of Detroit Negro speech. Washington, D.C.: Center for Applied Linguistics.Google Scholar
Zamora Vicente, A. 1967. Dialectología española. Madrid: Editorial Gredos.Google Scholar