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A child is given an IQ test. Assume the test result X is N(q,100) (std.dev=10) where q is the true IQ of the child. Also assume that the in the population as a whole q is distributed N(100,225) (=prior).a) Find the marginal for X (use results in class)b) If the child scores 115, find the posterior distribution... 顯示更多 A child is given an IQ test. Assume the test result X is N(q,100) (std.dev=10) where q is the true IQ of the child. Also assume that the in the population as a whole q is distributed N(100,225) (=prior). a) Find the marginal for X (use results in class) b) If the child scores 115, find the posterior distribution of q and the maximum likelyhood estimate of q c) Find a 95% confidence interval for q using posterior in b)
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============================================================ 圖片參考：http://img585.imageshack.us/img585/51/29808845.png 2010-11-08 21:58:08 補充： http://img585.imageshack.us/img585/51/29808845.png
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posterior distribution發問:
A child is given an IQ test. Assume the test result X is N(q,100) (std.dev=10) where q is the true IQ of the child. Also assume that the in the population as a whole q is distributed N(100,225) (=prior).a) Find the marginal for X (use results in class)b) If the child scores 115, find the posterior distribution... 顯示更多 A child is given an IQ test. Assume the test result X is N(q,100) (std.dev=10) where q is the true IQ of the child. Also assume that the in the population as a whole q is distributed N(100,225) (=prior). a) Find the marginal for X (use results in class) b) If the child scores 115, find the posterior distribution of q and the maximum likelyhood estimate of q c) Find a 95% confidence interval for q using posterior in b)
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============================================================ 圖片參考：http://img585.imageshack.us/img585/51/29808845.png 2010-11-08 21:58:08 補充： http://img585.imageshack.us/img585/51/29808845.png
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