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Project 5: Evaluating Hypotheses

Intro ] [ 5.1 ] [ 5.2 ] [ 5.3 ] [ 5.4 ] [ 5.5 ] [ 5.6 ]

Up: Machine Learning ]

Exercise 5.5


  1. Give general expressions for the upper and lower one-sided N % confidence intervals for the differences in errors between two hypotheses tested on different samples of data.
    Hint: Modify the expression given in Section 5.5.

    Upper bound = d_hat +
    z( 100 - ( 2 * ( 100 - N ) ) ) *
    square root [
          error s1 ( h1 ) ( 1 - error s1 ( h1 ) ) / n1 +
          error s2 ( h2 ) ( 1 - error s2 ( h2 ) ) / n2 ]
    Lower bound = d_hat -
    z( 100 - ( 2 * ( 100 - N ) ) ) *
    square root [
          error s1 ( h1 ) ( 1 - error s1 ( h1 ) ) / n1 +
          error s2 ( h2 ) ( 1 - error s2 ( h2 ) ) / n2 ]


by: Keith A. Pray
Last Modified: July 4, 2004 7:59 AM
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