[Limdep Nlogit List] t-stat of Nested logit model using RU2 procedure

William Greene wgreene at stern.nyu.edu
Thu Aug 27 21:22:43 EST 2009

Dear Chinh. Using the delta method, when you compute
a = 1/b, the estimator of the asymptotic variance for
a would be [da/db]^2 * Asy.Var[b] = [(-1/b^2)]^2 * Var[b].
Let s(b) = the square root of Var[b]. The t-ratio that you
compute for b is b/s(b).  The t ratio that you compute for
a will be (1/b) / [(1/b^2)*s(b)] = b/s(b). That is, the
t ratio is identical.
/Bill Greene

----- Original Message -----
From: "ho quoc Chinh" <hoqchinh at yahoo.com.vn>
To: "Limdep and Nlogit Mailing List" <limdep at limdep.itls.usyd.edu.au>
Sent: Wednesday, August 26, 2009 10:19:38 PM GMT -05:00 Columbia
Subject: [Limdep Nlogit List] t-stat of Nested logit model using RU2 procedure

Dear Limdep-users,
For pre-August 2003 versions of Nlogit, there is a problem of IV, namely the reported IV value which is actually the scale parameter of elemental alternative level, i.e.,mu. It is easy to obtain the real IV of two-level NL models by taking the reciprocal of the reported IV value. However, how to calculate the t-statatistic for real IV value? Is it possible to use reported t-stat of corresponding RU1 procedure? My NL model sets all attribute parameters to be alternative-specific between partitions.
Any suggestion is highly appreciated.

Best regards,

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