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A Beta-Logistic Model for the Analysis of Sequential Labor Force Participation by Married Women

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  • James J. Heckman
  • Robert J. Willis

Abstract

In this paper, we discuss statistical problems that arise in studying sequences of quantal responses (e.g., labor force participation) in panel data on heterogeneous populations (i.e., populations in which there is unobserved variation in response probabilities). Assuming that response probabilities are governed by a beta distribution, we derive a generalization of the cross-section logit model to enable it to deal with sequences of discrete events in panel data. This model is applied to panel data on labor force participation of married women. One of our findings is that the distribution of participation probabilities is U-shaped, indicating that most women have participation probabilities near zero or one.

Suggested Citation

  • James J. Heckman & Robert J. Willis, 1975. "A Beta-Logistic Model for the Analysis of Sequential Labor Force Participation by Married Women," NBER Working Papers 0112, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:0112
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    1. Gilbert Ghez & Gary S. Becker, 1975. "The Allocation of Time and Goods over the Life Cycle," NBER Books, National Bureau of Economic Research, Inc, number ghez75-1, March.
    2. Ben-Porath, Yoram, 1973. "Labor-Force Participation Rates and the Supply of Labor," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 697-704, May-June.
    3. James J. Heckman & Robert J. Willis, 1976. "Estimation of a Stochastic Model of Reproduction: An Econometric Approach," NBER Chapters, in: Household Production and Consumption, pages 99-146, National Bureau of Economic Research, Inc.
    4. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    5. Gilbert Ghez & Gary S. Becker, 1975. "The Allocation of Goods Over the Life Cycle," NBER Chapters, in: The Allocation of Time and Goods over the Life Cycle, pages 46-82, National Bureau of Economic Research, Inc.
    6. Gilbert Ghez & Gary S. Becker, 1975. "The Allocation of Time Over the Life Cycle," NBER Chapters, in: The Allocation of Time and Goods over the Life Cycle, pages 83-132, National Bureau of Economic Research, Inc.
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