Class Size and Sorting in Market Equilibrium: Theory and Evidence

Eric Verhoogen and Miguel Urquiola

No 6425, CEPR Discussion Papers from C.E.P.R. Discussion Papers

Abstract: This paper examines how schools choose class size and how households sort in response to those choices. Focusing on the highly liberalized Chilean education market, we develop a model in which schools are heterogeneous in an underlying productivity parameter, class size is a component of school quality, households are heterogeneous in income and hence willingness to pay for school quality, and schools are subject to a class-size cap. The model offers an explanation for two distinct empirical patterns observed among private schools that accept government vouchers: (i) There is an inverted-U relationship between class size and household income in equilibrium, which will tend to bias cross-sectional estimates of the effect of class size on student performance. (ii) Some schools at the class size cap adjust prices (or enrollments) to avoid adding another classroom, which produces stacking at enrollments that are multiples of the class size cap. This generates discontinuities in the relationship between enrollment and household characteristics at those points, violating the assumptions underlying regression-discontinuity (RD) research designs. This result suggests that caution is warranted in applying the RD approach in settings in which parents have substantial school choice and schools are free to set prices and influence their enrollments.

Keywords: Class size; Regression discontinuity; Sorting (search for similar items in EconPapers)
JEL-codes: C2 I2 L1 O1 (search for similar items in EconPapers)
Date: 2007-08
New Economics Papers: this item is included in nep-ure
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://cepr.org/publications/DP6425 (application/pdf)
CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org

Related works:
Journal Article: Class-Size Caps, Sorting, and the Regression-Discontinuity Design (2009)
Working Paper: Class Size and Sorting in Market Equilibrium: Theory and Evidence (2007)
Working Paper: Class Size and Sorting in Market Equilibrium: Theory and Evidence (2007)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cpr:ceprdp:6425

Ordering information: This working paper can be ordered from
https://cepr.org/publications/DP6425

Access Statistics for this paper

More papers in CEPR Discussion Papers from C.E.P.R. Discussion Papers Centre for Economic Policy Research, 33 Great Sutton Street, London EC1V 0DX.
Bibliographic data for series maintained by ().