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Half Width and Number of Replications

Half Width and Number of Replications. Prefer smaller confidence intervals — precision Notation: Confidence interval: Half-width =. Want this to be “small,” say < h where h is pre-specified. Source: Systems Modeling Co. Half Width and Number of Replications (cont’d.).

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Half Width and Number of Replications

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  1. Half Width and Number of Replications • Prefer smaller confidence intervals — precision • Notation: • Confidence interval: • Half-width = Want this to be “small,” say < h where h is pre-specified Source: Systems Modeling Co.

  2. Half Width and Number of Replications (cont’d.) • Can’t control t or s • Must increase n - how much? • Set half-width = h, solve for • Not really solved for n (t, s depend on n) • Approximation: • Replace t by z, corresponding normal critical value Source: Systems Modeling Co.

  3. Half Width and Number of Replications (cont’d.) • Pretend that current s will hold for larger samples • Get • Easier but different approximation: s = sample standard deviation from “initial” number n0 of replications h0 = half width from “initial” number n0 of replications n grows quadratically as h decreases. Source: Systems Modeling Co.

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