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21<br />

this case, if <strong>the</strong>re was no data loss such as due to loss <strong>of</strong> contact or o<strong>the</strong>r confounding<br />

problems, <strong>the</strong>n <strong>the</strong> experiment might avoid <strong>the</strong> selection problem. Random assignment<br />

creates a control group that comprises individuals, which within sampling variation<br />

should have identical distributions <strong>of</strong> observable and unobservable characteristics to<br />

those in <strong>the</strong> treatment group. Random participation can thus defeat <strong>the</strong> potential for<br />

selection bias. In <strong>the</strong> absence <strong>of</strong> this, non-experimental methods for evaluation should be<br />

used. However, data problems <strong>of</strong> non-response, or treatment differing from assigned<br />

treatment, can re-introduce selection problems into even experimental data. For example<br />

Heckman et al. (1999) pp1905 -1914 discuss <strong>the</strong> data problems <strong>of</strong> economic program<br />

experimental data, such as sample attrition. Fay (1996) Table 4a p47 also lists some<br />

problems <strong>of</strong> experiments as randomisation bias, sample contamination, treatment<br />

contamination, site self-selection, substitution bias, crossover bias, and program entry<br />

effects.<br />

Heckman et al. (1999) examine in detail <strong>the</strong> form <strong>of</strong> evaluation counterfactual estimated<br />

using various evaluation methods. Both <strong>the</strong> Heckman selection model and matching<br />

methods produce <strong>the</strong> parameter corresponding to <strong>the</strong> mean effect <strong>of</strong> treatment on <strong>the</strong><br />

treated, which Heckman et al. (1999) derive fully. Hujer and Caliendo (2000) p10 note<br />

this parameter answers <strong>the</strong> question “what is <strong>the</strong> expected outcome gain to individuals<br />

who received treatment, to <strong>the</strong> hypo<strong>the</strong>tical situation <strong>the</strong>y had not received it?”. Heckman<br />

et al. (1999) and Heckman et al. (1997, 1998) point out that this question focuses directly<br />

on actual participants, and can help decide whe<strong>the</strong>r <strong>the</strong> program is a success. However,<br />

<strong>the</strong> identifying assumptions used to estimate <strong>the</strong> unobserved counterfactual term from <strong>the</strong><br />

observed non-participant outcomes, that are required for <strong>the</strong> Heckman selection model,<br />

differ from those required for matching to produce a valid estimation <strong>of</strong> <strong>the</strong> mean effect<br />

<strong>of</strong> treatment on <strong>the</strong> treated. Each <strong>of</strong> <strong>the</strong>se modelling methods and <strong>the</strong>ir assumptions is<br />

treated in detail in <strong>the</strong> later chapters <strong>of</strong> this research.

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