Applied Bayes' Theorem: Calculating the probability that she's over me. Could somebody check my work? TT_TT

-9 abcd_z 19 July 2013 02:59AM

Solve for:  The probability that she's over me given that she didn't answer my call.

Estimated probabilities:
The probability that she'd miss my call given that she was over me: 90%
The probability that she's over me: 30%
The probability that she'd miss my call given she was not over me. 10%

(P(over me|missed call)= P(missed call|over me)*P(over me))  /  (P(missed call|over me)*P(over me)+P(Missed call|Not over me)*P(Not over me))

P(O|M)=(P(M|O)*P(O))/(P(M|O)*P(O)+P(M|N)*P(N))

P(O|M)=(.9*.3)/((.9*.3)+(.1*.7))

P(O|M)=(.27)/(.27)+(.07)) = .27/.34 = .794

Probability that she's over me given that she didn't answer the phone: 79.4%

TT_TT

 

EDIT: Something I've noticed here is that people are pointing to the chosen priors and saying that they seem unrealistic.

In our 3-year relationship, she almost never missed my calls, or if she did she would contact me back as soon as she realized that she missed my call.  In the current situation, she did no such thing.

EDIT2: Yes, we broke up.  Sorry I didn't make that clear.

Comment author: gwern 31 July 2012 11:50:09PM 2 points [-]

What does your psychiatrist have to say about your crippling anxiety?

Comment author: abcd_z 31 July 2012 11:57:30PM *  0 points [-]

I haven't been able to afford therapy for a while now. When I could afford it he taught me enough behavioral therapy to eventually overcome my previous entanglements, but this is something new for me.

Advice please: Cognitive distortion preventing me from accomplishing anything

6 abcd_z 31 July 2012 11:12PM

The cognitive distortion is called "catastrophizing", I think.

I'm afraid of unexpected, strongly negative events occurring to me without warning.  Nothing specific, just a generalized fear.  That fear is crippling me.  Worse, there's a part of me that feels that fear is keeping me safe.  "If I let go of that fear," it goes, "I would start doing things and then I wouldn't be safe any more."

I haven't filled out a job application in over a week, because doing so would force me out into the world if i got an interview, and into the world consistently if I got the job.

How to Draw Conclusions Like Sherlock Holmes

-5 abcd_z 27 December 2011 01:29PM

 

Eliezer Yudkowsky once wrote that

[...] when you look at what Sherlock Holmes does - you can't go out and do it at home.  Sherlock Holmes is not really operating by any sort of reproducible method.  He is operating by magically finding the right clues and carrying out magically correct complicated chains of deduction.  Maybe it's just me, but it seems to me that reading Sherlock Holmes does not inspire you to go and do likewise.  Holmes is a mutant superhero.  And even if you did try to imitate him, it would never work in real life.

 

A few days ago I was at an acquaintance's house after watching the Sherlock miniseries on Netflix. My mind whirling with the abilities displayed by the titular character and I wandered around the house while others were making small talk. I stopped by a large oil painting on one wall that was decent but had obvious problems with perspective. Additionally, it was missing a signature in the lower-right corner.

 

ANALYSIS:

Sub-par paintings don't generally get put on the market.

If the hostess thought it was worth putting on the wall, it was most likely because she had an emotional attachment to the piece.

Painters place their signatures in the corner of the painting to identify themselves as the creator. If the painter didn't bother leaving their mark, it was because they were confident that they didn't need to.

The conclusion I drew from this was that the painter was either the hostess herself or somebody very close to her. As it turns out, it was the hostess.

 

Now, this anecdote hardly proves anything.  Still, I think it's a fun little thing and the ability to show off like that, even a small percentage of the time, is too good to pass up.  So I present my analysis of How to Become a Regular Sherlock Holmes.

 

1) Pay attention to details. Look around you at your environment.  A scratch on a wall, a limp in somebody's walk, a smudge on somebody's cheek.  At this point it's probably hard to tell what details are important, so pay attention to everything.

 

2) Answer these two questions:

"What am I looking at?" and

"What could it mean (if anything)?"

 

3) Check your guesses.

This is an important step. It's easy to make any sort of judgments about the details and what they mean, but if you accept your own conclusions without checking the facts, you're likely to create false assumptions and associations that you take as fact.  That's the opposite of what we're trying to do here.

Fortunately, checking your guesses is very easy to do in most situations with another person. Just state what you've noticed and ask for information on the context.  For example, "I've noticed a large scratch on your end-table. Do you know how it happened?"

A follow-up question might be "why haven't you changed it out for another one?", but only if you think getting the information is more important than the possibility of being seen as rude and the potential consequences thereof.

 

In Summary:

 

Pay attention to details

"What am I looking at?"

"What could it mean?"

Check your guesses

 

Oh, and the painting I mentioned at the beginning? I actually didn't figure it out until she told me. I just about kicked myself when I realized I could have figured it out myself and pulled off a really cool Sherlock Summation if I hadn't asked first. C'est la vie.

 

Comment author: abcd_z 03 July 2011 05:15:40AM 29 points [-]

When the facts change, I change my mind. What do you do, sir?

John Maynard Keynes

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