Mixed Proportional Hazard (MPH) Model

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In Simple Words

The model breaks down an individual's probability of leaving unemployment into three distinct multiplying parts: a baseline time clock, a score based on known background factors (like age and past work), and a hidden personal factor that accounts for unobserved drive or luck.

Unemployed workers in two Danish counties

Usual labour-market policy
Group used for comparison
Early intensive support
Early exit estimates 20% to 40% higher

Duration-varying empirical model in two counties. Later Storstrom effects turned negative; one model found no clear effect beyond week 22.

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Research question

Evaluating dynamic exit rates from unemployment requires separating true policy treatment effects over time from compositional changes caused by individual baseline traits or unobserved participant differences.

Participants

N = 4,513 unemployed individuals in two Danish counties (2,393 treatment, 2,284 control).

Study Design

Parametric hazard estimation with discrete unobserved heterogeneity distributions (two-type mixture model) and duration-varying treatment indicators.

Results

The MPH framework isolated a 20% to 40% time-varying increase in unemployment escape rates attributable to the policy regime, preventing bias from a small sub-population (1-2%) of unobserved 'immune' individuals with zero exit probability.

Takeaway

Estimate duration models using a mixed proportional hazard specification with unobserved heterogeneity controls when analyzing dynamic panel data from social experiments.

Source and citation

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Plain-English glossary

Original explanations, informed by the references below. Examples are illustrations, not data from the studies above. The research text stays unchanged.

Baseline

The starting measurements in a study. Researchers use these to compare what participants were like at the start with what happens later.

ExampleBefore a training programme starts, researchers measure workers’ earnings. That first measurement is the baseline.

GET-IT glossary · Baseline characteristics ↗Read more about baseline →

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