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BobMcGeddon

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Q: What is the posterior distribution when sampling from a poisson distribution with a chi square prior?
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When may the sampling distribution of x̅ be considered to be approximately normal?

the standard deviation of the population(sigma)/square root of sampling mean(n)


Poisson distribution the mean and standard deviation?

The Poisson distribution is a discrete distribution, with random variable k, related to the number events. The discrete probability function (probability mass function) is given as: f(k; L) where L (lambda) is the mean and square root of lambda is the standard deviation, as given in the link below: http://en.wikipedia.org/wiki/Poisson_distribution


Can the variance of a normally distributed random variable be negative?

No. The variance of any distribution is the sum of the squares of the deviation from the mean. Since the square of the deviation is essentially the square of the absolute value of the deviation, that means the variance is always positive, be the distribution normal, poisson, or other.


Concept of Probability sampling and chi square test?

A probability sampling method is any method of sampling that utilizes some form of random selection. See: http://www.socialresearchmethods.net/kb/sampprob.php The simple random sample is an assumption when the chi-square distribution is used as the sampling distribution of the calculated variance (s^2). The second assumption is that the particular variable is normally distributed. It may not be in the sample, but it is assumed that the variable is normally distributed in the population. For a very good discussion of the chi-square test, see: http://en.wikipedia.org/wiki/Pearson%27s_chi-square_test


What does it mean when tests are chi-square based?

A chi-squared test is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi-squared distribution when the null hypothesis is true.


Does use of chi-square demand a random sample?

Well, sort of. The Chi-square distribution is the sampling distribution of the variance. It is derived based on a random sample. A perfect random sample is where any value in the sample has any relationship to any other value. I would say that if the Chi-square distribution is used, then every effort should be made to make the sample as random as possible. I would also say that if the Chi-square distribution is used and the sample is clearly not a random sample, then improper conclusions may be reached.


What is the posterior plane similar in meaning to?

The posterior plane is the one that is in the back. If you have a square it would be the back of it.


How do you calculate Z and T scores?

z=(x-mean)/(standard deviation of population distribution/square root of sample size) T-score is for when you don't have pop. standard deviation and must use sample s.d. as a substitute. t=(x-mean)/(standard deviation of sampling distribution/square root of sample size)


What are the effects of sample size on sampling error?

The sampling error is inversely proportional to the square root of the sample size.


Why is a toilet?

Do you think square would fit your posterior.


Is chi square distribution is continuous distribution?

Yes


Why is a toilet round?

Do you think square would fit your posterior.