
#1




Calculating The "Average" Function Of Xn
Page 63 seems to be saying this:
For each data set, evaluate the hypothesis for that data and save it somewhere. When all of the data has been processed take each data point and calculate the "average" value of that data point evaluated against each of the previously generated hypotheses. That average value can be used to calculate the variance of the data set. So this is just a straightforward averaging calculation, is it not? I'm having some difficulty duplicating the variance values shown in the examples from the book and suspect that this calculation may be the source of the problem. Thanks for your attention. 
#2




Re: Calculating The "Average" Function Of Xn
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#3




Re: Calculating The "Average" Function Of Xn
Thanks for your quick reply. I have managed to duplicate the variance result for hypothesis zero of example 2.8. The error had nothing to do with averaging. I don't use a generic x but simply calculate the average of all of the g's generated by the test data sets. This averaged g is evaluated at each data point where comparison with g(x) is required. It seems to work for the constant value case.
The book says that the average g is calculated for "a particular x" and is interpreted as the expected value of the random variable gbar(X). Is this particular x value the "generic" value? 
#4




Re: Calculating The "Average" Function Of Xn
Quote:
__________________
Where everyone thinks alike, no one thinks very much 
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