http://www.stat.cmu.edu/~kass/smnp/?p=83 Thu, 26 Apr 2012 14:07:02 +0000 hourly 1 http://wordpress.org/?v=3.0.4 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-97 Thomas Kraynak Thu, 09 Feb 2012 14:25:35 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-97 By π I mean pi, it's not showing up on the browser well. By π I mean pi, it’s not showing up on the browser well.

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-96 Thomas Kraynak Thu, 09 Feb 2012 14:24:29 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-96 What significance does the π term have in the pdf π(θ) = fθ(θ) ? Is it a term simply chosen because its independence from the other terms and not because of its value? What significance does the π term have in the pdf π(θ) = fθ(θ) ? Is it a term simply chosen because its independence from the other terms and not because of its value?

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-95 Yijuan Thu, 09 Feb 2012 14:22:51 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-95 When should we use Bayes’ Theorem for uncertainty assessment? When should we use Bayes’ Theorem for uncertainty assessment?

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-94 Rich Truncellito Thu, 09 Feb 2012 14:19:06 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-94 What kinds of problem advantage using the credible interval over using the confidence interval? What kinds of problem advantage using the credible interval over using the confidence interval?

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-93 Ben Dichter Thu, 09 Feb 2012 06:43:39 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-93 Are we justified in modeling chi^2 as a Poisson just because it is a count? Are there ever counts that are poorly modeled by a Poisson distribution? Also, how would you handle a continuous distribution? You could bin it, but the size of the bin will be arbitrary. Is there a better way? Are we justified in modeling chi^2 as a Poisson just because it is a count? Are there ever counts that are poorly modeled by a Poisson distribution? Also, how would you handle a continuous distribution? You could bin it, but the size of the bin will be arbitrary. Is there a better way?

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-92 mpanico Thu, 09 Feb 2012 05:34:42 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-92 Is the width of the confidence interval always similar to the width of the credible interval? Is the width of the confidence interval always similar to the width of the credible interval?

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-91 Rex Tien Thu, 09 Feb 2012 04:28:36 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-91 It seems that the last sentence of 7.3.9 contradicts the arguments made earlier. So is it actually OK to think of the confidence interval as there being 95% probability that the parameter is in the interval? If not exactly true, is this still a useful way to think about it or are there cases where this way of considering CIs leads us to significant errors? It seems that the last sentence of 7.3.9 contradicts the arguments made earlier. So is it actually OK to think of the confidence interval as there being 95% probability that the parameter is in the interval? If not exactly true, is this still a useful way to think about it or are there cases where this way of considering CIs leads us to significant errors?

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-90 Sharlene Flesher Thu, 09 Feb 2012 04:25:24 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-90 I don't fully understand how the U and L of the CI are random variables- can you clarify how they are random variables rather than constants? I don’t fully understand how the U and L of the CI are random variables- can you clarify how they are random variables rather than constants?

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-89 Shubham Debnath Wed, 08 Feb 2012 21:52:45 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-89 Instead of a uniform distribution when assigning one as a prior distribution, can one use any other one? Obviously uniform is the most obvious and simplest, but can you use a normal distribution? Instead of a uniform distribution when assigning one as a prior distribution, can one use any other one? Obviously uniform is the most obvious and simplest, but can you use a normal distribution?

]]> http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-88 Rob Rasmussen Wed, 08 Feb 2012 21:28:04 +0000 http://www.stat.cmu.edu/~kass/smnp/?p=83#comment-88 I am still having trouble understanding how the degrees of freedom is calculated from the different scenarios. I am still having trouble understanding how the degrees of freedom is calculated from the different scenarios.

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