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CHAPTER 3. MEDIGAP 148<br />

Table 3.8: Robustness Checks: Key Parameter Estimates from Alternative Specifications<br />

<strong>and</strong> Samples<br />

(1)<br />

Panel A: Levels versus Logs<br />

(2) (3)<br />

Levels<br />

Full model coefficient on Medigap <strong>in</strong> Levels 5829 (1850) 5705 (1572) 4978 (1520)<br />

Average Cost 7344 (339) 7344 (339) 7344 (339)<br />

Percent <strong>in</strong>crease<br />

Logs<br />

0.794 (0.252) 0.777 (0.214) 0.678 (0.207)<br />

Full model coefficient on Medigap <strong>in</strong> Logs 0.515 (0.158) 0.614 (0.146) 0.567 (0.138)<br />

Panel B: Full versus Analyzed Sample<br />

Full sample<br />

OLS Coefficient on Medigap<br />

Analyzed sample<br />

0.138 (0.020) 0.105 (0.020) 0.343 (0.017)<br />

OLS Coefficent on Medigap 0.379 (0.059) 0.352 (0.058) 0.370 (0.053)<br />

Panel C: Lowest Premium Variation States versus Analyzed Sample<br />

Lowest premums variation states<br />

Full model coeffiicient on Medigap 0.418 (0.207) 0.436 (0.188) 0.424 (0.178)<br />

OLS coefficient on Medigap 0.319 (0.083) 0.310 (0.081) 0.294 (0.077)<br />

Premium semi-elasticity of dem<strong>and</strong> for Medigap<br />

Analyzed sample<br />

-0.759 (1.589) -0.441 (1.546) -0.591 (1.525)<br />

Full model coeffiicient on Medigap 0.515 (0.158) 0.614 (0.146) 0.567 (0.138)<br />

OLS coefficient on Medigap 0.379 (0.059) 0.352 (0.058) 0.370 (0.053)<br />

Premium semi-elasticity of Medigap dem<strong>and</strong><br />

Controls <strong>in</strong> all panels<br />

-0.314 (0.187) -0.406 (0.160) -0.419 (0.158)<br />

Basic Controls Yes Yes Yes Yes Yes Yes<br />

Demographic Controls Yes Yes Yes Yes<br />

Health Controls Yes Yes<br />

Source: 2000-2005 MCBS; Weiss Rat<strong>in</strong>gs<br />

Notes: Parameter estimates for the effect of Medigap on total medical costs from various specifications. The sample is restricted to<br />

<strong>in</strong>dividuals with Medigap, HMO. Panel A shows estimates from the full three-stage model with total medical costs <strong>in</strong> levels <strong>and</strong> logs.Panel B<br />

presents estimates on the full sample <strong>and</strong> the analyzed sample restricted to <strong>in</strong>dividuals that turn 65 <strong>in</strong> 2000 or later. Panel C shows<br />

estimates of the ma<strong>in</strong> paramters from the subset of states with virtually no with<strong>in</strong>-state premium varition <strong>and</strong> the analyzed sample. The<br />

controls <strong>in</strong> specifications 1-3 match those <strong>in</strong> Table 7 specifications 1-3. Bootstrap st<strong>and</strong>ard errors clustered by <strong>in</strong>dividual <strong>in</strong> parentheses.

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