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The sequence of numbers 0.63, 0.49, 0.24, 0.89 and 0.71 has been generated.
written 6.7 years ago by gravatar for teamques10 teamques10 ★ 70k •   modified 5.6 years ago

Use the Komogorov-Smirnov test with $\alpha$= 0.05 to determine if the hypothesis that the numbers are uniformly distributed on the interval[0,1] can be rejected. Use D$_{0.05}$= 0.565
computer simulation and modelling
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written 6.6 years ago by gravatar for teamques10 teamques10 ★ 70k •   modified 6.6 years ago

K-S Test

  1. Define the hypothesis for testing the uniformity

    $H_0: R_i \sim \cup [0,1]$

    $H_i: R_i \not{\sim} \cup [0,1]$

  2. Rank data in increasing order

    $0.24 \le 0.49 \le 0.63 \le 0.71 \le 0.89$

  3. Compute $D^+$ and $D^-$

i 1 2 3 4 5
$R_i$ 0.24 0.49 0.63 0.71 0.89
$\frac{i}{N}$ …

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