Mixed-Level Variables

Kenneth J. Berry, Janis E. Johnston and Paul W. Mielke
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Kenneth J. Berry: Colorado State University, Department of Sociology
Janis E. Johnston: Alexandria
Paul W. Mielke: Colorado State University, Department of Statistics

Chapter Chapter 8 in The Measurement of Association, 2018, pp 439-510 from Springer

Abstract: 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 $$\hat {\omega }^{2}$$ .

Date: 2018
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DOI: 10.1007/978-3-319-98926-6_8

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