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From |
nicostat@gmail.com |

To |
Carlo Lazzaro <carlo.lazzaro@tin.it>, statalist@hsphsun2.harvard.edu |

Subject |
st: Re: conditional probability |

Date |
Thu, 21 Jul 2011 15:20:21 -0600 |

> Thanks Carlo, but if I want to consider also some personal > characteristics (age, gender, ect). How I can estimate these probability? > is it enough a simple probit or logit? > thanks again > Nico > > 2011/7/19 Carlo Lazzaro <carlo.lazzaro@tin.it>: >> Nico wrote: >> "and prob(B|H) is the jointly probability to hiring a black worker >> conditional on being a H worker" >> >> >> High skilled Low skilled Total >> ---------------------------------------------- >> Black 20 40 60 >> >> Others 30 50 80 >> ---------------------------------------------- >> Total 50 90 140 >> >> P(B|H)=probability of hiring a black worker conditional on being high >> skilled [by the way, this is a conditional probability, not a joint one]. >> >> P(B|H)=P(B,H)/P(H) >> >> Using data from the table above: >> >> P(B|H)=[(20/140)/(50/140)]=0.4 >> >> Where: >> >> 20= high skilled black workers; >> 140= total observations; >> 50=total skilled workers. >> >> Put in other words, 0.4 can be read as the probability of sampling a black >> skilled worker from a sample of skilled workers (i.e.: 20/50=0.4). >> >> Beware of not reversing the condition: P(B|H) is conceptually different from >> P(H|B), even though the resulting probabilities may look not so different. >> >> In Stata, you can type something like this: >> >> gen P(B|H)=[(20/140)/(50/140)]. >> >> Obviously, you may want to replace the number between brackets with var >> names. >> >> HTH and Kind Regards, >> Carlo >> -----Messaggio originale----- >> Da: owner-statalist@hsphsun2.harvard.edu >> [mailto:owner-statalist@hsphsun2.harvard.edu] Per conto di >> nicostat@gmail.com >> Inviato: martedì 19 luglio 2011 0.41 >> A: statalist@hsphsun2.harvard.edu >> Oggetto: st: conditional probability >> >> Dear Statalist, >> I don't know in stata how can estimate this kind of probabilities >> >> probHB=prob(B|H)prob(H)/prob(B|H) prob(H) + prob(W|L) prob(L) >> >> where probHB is the probability to hire a High skill worker in the >> market for black worker >> and prob(B|H) is the jointly probability to hiring a black worker >> conditional on being a H worker. >> >> thanks in advance for your help >> Nico >> * >> * 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**:**st: R: Re: conditional probability***From:*"Carlo Lazzaro" <carlo.lazzaro@tin.it>

**References**:**st: conditional probability***From:*nicostat@gmail.com

**st: R: conditional probability***From:*"Carlo Lazzaro" <carlo.lazzaro@tin.it>

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