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From |
"Feiveson, Alan H. (JSC-SK311)" <alan.h.feiveson@nasa.gov> |

To |
"statalist@hsphsun2.harvard.edu" <statalist@hsphsun2.harvard.edu> |

Subject |
st: RE: Bounded Inequality Constraints |

Date |
Mon, 5 Dec 2011 11:09:32 -0600 |

Dmitriy - The example from the auto data doesn't work very well, but if you want to crank it out by brute force, you could use nonlinear least squares with a logit transformation: nl (price = {A} + logit( ( {c1=3.5}-2)/3) * weight + logit( ( {c2=3.5}-2)/3) * mpg + logit( ( {c3=3.5}-2)/3) * length ) Source | SS df MS -------------+------------------------------ Number of obs = 74 Model | -2.6420e+09 3 -880670066 R-squared = -4.1602 Residual | 3.2771e+09 70 46815365.6 Adj R-squared = -4.3814 -------------+------------------------------ Root MSE = 6842.176 Total | 635065396 73 8699525.97 Res. dev. = 1512.858 ------------------------------------------------------------------------------ price | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- /A | 1677.936 5890.632 0.28 0.777 -10070.56 13426.43 /c1 | 3.870228 .822251 4.71 0.000 2.2303 5.510156 /c2 | 2.000028 .0023649 845.71 0.000 1.995311 2.004744 /c3 | 2.000001 .0000529 37836.18 0.000 1.999896 2.000106 ------------------------------------------------------------------------------ Parameter A taken as constant term in model & ANOVA table The coefficients c2 and c2 are estimated at their lowest allowable value (2.0) because they are negative in the unrestricted model. In this example, I didn't try to restrict the constant term ("A"). Al Feiveson -----Original Message----- From: owner-statalist@hsphsun2.harvard.edu [mailto:owner-statalist@hsphsun2.harvard.edu] On Behalf Of Dmitriy Glumov Sent: Monday, December 05, 2011 8:21 AM To: statalist@hsphsun2.harvard.edu Subject: st: Bounded Inequality Constraints Dear Statalist Users, I need to include inequality constraints into the regression I am working on. In particular, I would like the coefficients of all the independent variables to be between 2.5 and 5. To provide you with an example, suppose I was using an Auto dataset and running the following simple regression: regress price mpg weight length This regression needs to be constrained in such a way so that the coefficients for mpg, weight, and length all stay bounded between 2.5 and 5 (and disregarded if they are outside this range). I know there has been a fair amount of discussion in regards to this topic and Maarten has posted this solution (http://www.stata.com/support/faqs/stat/intconst.html), but I wasn't sure if there's potentially an another, perhaps more appropriate way, to solve the problem I am dealing with - one that requires bounding (rather than a one-sided inequality). Moreover, I could not figure out how to transform the solution that Maarten posted into the one where both bounds are accounted for. Hence, any help with this would be greatly appreciated. Thank you for your consideration. Regards, Dmitriy * * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/ * * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

**Follow-Ups**:**Re: st: RE: Bounded Inequality Constraints***From:*Dmitriy Glumov <glumovdm@gmail.com>

**References**:**st: Bounded Inequality Constraints***From:*Dmitriy Glumov <glumovdm@gmail.com>

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