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 on 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 near one.

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 on 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 near one.