Title
frm_reset -- RESET test for fractional regression models
Syntax
frm_reset [anything] [, options]
options Description ------------------------------------------------------------------------- lastpower(#) specify the maximum power of the linear predictor to be used in the RESET test lm specify the LM version of the RESET test to be performed wald specify the Wald version of the RESET test to be performed lr specify the LR version of the RESET test to be performed maximize_options control the maximization process of the estimations required to perform Wald and LR tests -------------------------------------------------------------------------
where anything, if provided, is the name under which estimation results were saved via estimates store. Otherwise, frm_reset is applied to the last estimation results, even if these were not already stored.
Description
frm_reset applies the RESET test statistic to fractional regression models estimated via frm. frm_ptest may be used to test the link specification of: (i) one-part fractional regression models; (ii) the binary component of two-part fractional regression models; and (iii) the fractional component of two-part fractional regression models. See Ramalho, Ramalho and Murteira (2011) for details on the application of the RESET test in the fractional regression framework.
Options
lastpower(#)} specify the maximum power of the linear predictor to be used in the RESET test. The default option is lastpower(3), which implies that two RESET statistics are computed, one using quadratic powers of the fitted values as test variable and the other considering quadratic and cubic powers of the fitted values as test variables.
lm specifies that the LM version of the RESET test is to be performed. Unless the model to be tested is the binary component of a two-part fractional regression model, a robust version is implemented. This is the default option.
wald specifies that the Wald version of the RESET test is to be performed. It may be implemented a standard, a robust or a cluster version of the Wald test, depending on how the base model was estimated.
lr specifies that the LR version of the RESET test is to be performed. This option is only available for the binary component of a two-part fractional regression model.
maximize_options: technique(algorithm_spec), iterate(#), trace, difficult, gradient, showstep, hessian, showtolerance, tolerance(#), ltolerance(#), nrtolerance(#), from(init_specs); see [R] maximize for details.
Examples
Setup - data used in Ramalho, Ramalho and Henriques (2010) . use http://evunix.uevora.pt/~jsr/stata/JPA-2010.dta
Testing the logit specification of a standard fractional regression model . frm SCORE LANDLORD LIVESTOCK CROP SIZE SUBSIDIES ALTO CENTRAL BAIXO . frm_reset
Testing probit and cloglog specifications of binary regression models using LR-based RESET tests with quadratic, cubic and fourth powers of the linear predictor . frm SCORE LANDLORD LIVESTOCK CROP SIZE SUBSIDIES ALTO CENTRAL BAIXO, m(2Pbin) linkb(probit) inf(1) . estimates store a1 . frm SCORE LANDLORD LIVESTOCK CROP SIZE SUBSIDIES ALTO CENTRAL BAIXO, m(2Pbin) linkb(cloglog) inf(1) . estimates store a2 . frm_reset a1, lr l(4) . frm_reset a2, lr l(4)
Saved results
frm_reset saves results of the following type in r():
Scalars r(LM2) LM-based RESET statistic that uses only quadratic powers of the linear predictor as test variable r(LM2p) p-value for the statistic r(LM2)
If lastpower(#) is higher than 2, then r(LM3), r(LM3p), etc. are also saved. If Wald and LR versions of the RESET test are computed, then r(W2), r(LR2), etc. are also saved.
Author
Joaquim J.S. Ramalho Department of Economics University of Evora Portugal jsr@uevora.pt
Remarks
frm_reset is not an official Stata command. For further help and support, please contact the author. Please notice that this software is provided as is, without warranty of any kind, expressed or implied, including but not limited to the warranties of merchantability, fitness for a particular purpose, and noninfringement. In no event shall the author be liable for any claim, damages, or other liability, whether in an action of contract, tort, or otherwise, arising from, out of, or in connection with the software or the use or other dealings in the software.
References
Ramalho, E.A., J.J.S. Ramalho and J.M.R. Murteira (2011), "Alternative estimating and testing empirical strategies for fractional regression models", Journal of Economic Surveys, 25(1), 19-68.
Ramalho, E.A., J.J.S. Ramalho and P.D. Henriques (2010), "Fractional regression models for second stage DEA efficiency analyses", Journal of Productivity Analysis, 34(3), 239-255.
Also see