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Mixed-Level Variables

In: The Measurement of Association

Author

Listed:
  • Kenneth J. Berry

    (Colorado State University, Department of Sociology)

  • Janis E. Johnston

    (Alexandria)

  • Paul W. Mielke Jr.

    (Colorado State University, Department of Statistics)

Abstract

This chapter describes measures of association for two variables at different levels of measurement, e.g., a nominal-level independent variable and an ordinal- or interval-level dependent variable, and an ordinal-level independent variable and an interval-level dependent variable. This chapter begins with discussions of three measures of association for a nominal-level independent variable and an ordinal-level dependent variable: Freeman’s θ, Agresti’s δ ̂ $$\hat{\delta}$$ , and Piccarreta’s τ ̂ $$\hat {\tau }$$ . This chapter continues with a discussion of measures of association for a nominal-level independent variable and an interval-level dependent variable: the correlation ratio η 2, 𝜖 2, and ω ̂ 2 $$\hat {\omega }^{2}$$ .

Suggested Citation

  • Kenneth J. Berry & Janis E. Johnston & Paul W. Mielke Jr., 2018. "Mixed-Level Variables," Springer Books, in: The Measurement of Association, chapter 0, pages 439-510, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-98926-6_8
    DOI: 10.1007/978-3-319-98926-6_8
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