Table 3.

Different Treatments of the Point Mass Produce Different Discontinuity Estimates

		Hypothesized Breakpoint:
Bandwidth	Bin size	.500001	.499999	.5 (omit point mass)
.084	.0016	−.124*** (.031)	.064** (.031)	−.034 (.032)
.045	.0016	−.184*** (.040)	.129*** (.040)	−.031 (.043)
.023	.0016	−.310*** (.055)	.240*** (.055)	−.040 (.061)
.011	.0005	−.575*** (.078)	.451*** (.081)	−.078 (.091)

Notes: Sample of spousal earnings data taken from the SIPP-SSA Gold Standard Files. See Section V for discussion of the sample. The first reported bandwidth and bin size correspond to those automatically selected by the McCrary (2008) test algorithm. McCrary (2008) recommends using a small bandwidth than the automatically selected one, as is done in the second thru fourth rows. Point estimates report the change in log height of the density function as one travels from just left of the hypothesized breakpoint to just right of it. Asymptotic standard errors reported below coefficient estimates in parentheses; standard statistical significance legend used.