Suppose you had a lot of information about health care costs for different people and you wanted to know what characteristics of patients add to health care costs. While this may seem like every economist would do, measuring this relationship requires knowing (i) the types of autonomy that can be included in your data analysis and (ii) their operating modes. Method (i) can be validated based on previous training and clinical practice, but even this is imperfect. Point (ii) is difficult to interpret. Is there a data-driven way to do this?
A paper written by Belloni, Chernozhukov, and Hansen (2014) seeks to use multiple choice options (PDS) to identify appropriate corrections and their functional status. Consider the following example:
andand = g (wand) + andand
E (sand| g (wand) = 0
Belloni papers do g (w) as a high-dimensional, almost linear model of course:
g (wand) = Σj = 1 in p (bjxand, j+ rp, and)
Note that in the Belon system, there is a possible amount of control (P) to be larger than the number of views (N). How can you be more repetitive than the results? Basically because Belloni wants a relationship to start a relationship almost meaning that outside of P direct editing, automatically s of them they are quite different from 0 and ≪ n.
Belloni wants to make this clear s Key changes using the Least Absolute Shrinkage and Selection Operator (LASSO) model from Frank and Friedman (1993) are as follows:
Under LASSO, coefficients are selected to reduce the amount of squared residue combined with the punitive word that disciplines the sample size through the number of coefficients. The term λ is the penalty level that provides the penalty for a number of variables and coefficients that are not zero (or very low). Papers such as Belloni et al. (2012) and Belloni et al. (2016) provide an accurate estimate of the value of λ. Gamma coefficients are “additional penalties” which are intended to confirm the relative equality of the coefficient to increase x. For example, if one change was in school on a scale from 1 to 16 and another change was cash in dollars, a one-year increase in school is much higher than an increase of $ 1 per year. The increase in sanctions requires redress of these differences. The authors state:
The punitive function in LASSO is special because it has a kink at 0, which he penalty in LASSO is special because he has a kink at 0, which results in sparse estimator and coeffiesults in the sparse estimator and most. the coefficients were set exactly to zero.
One of the problems with the LASSO method, however, is that the coefficients that follow are biased to zero. The method Beloni provided is to use post-Lasso comparisons using the following two methods:
First, LASSO is used to determine which changes can be made based on the forecast. Then, the coefficients on the remaining colors are compared through a small standard ladder using only squares with the original coefficients that are simulated. The Post-LASSO compiler is easy to use and… is more efficient and more frequent than LASSO in terms of flexibility and bias.
Much is in the paper and there are a number of powerful examples. Read the whole lesson.
Furthermore, a recent paper by Kugler et al. (2021) published last month used the Belloni method in their research to determine how they expect to be paid in the decision to become a nurse.