In a sharp regression discontinuity design, A)crossing the threshold influences receipt of the treatment but is not the sole determinant. B)the population regression line must be linear above and below the threshold. C)X_i will in general be correlated with u_i. D)receipt of treatment is entirely determined by whether W exceeds the threshold.

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In a sharp regression discontinuity design, the receipt of treatment is entirely determined by whether an assignment variable (W) exceeds a known cutoff or threshold. This design creates a clear division between those who receive the treatment and those who do not, based solely on the value of the assignment variable relative to the threshold.

In a Sharp Regression Discontinuity Design