Sample
Size (N) Determination for Speed Studies |
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N = |
S2 x z2 (2 + U2) |
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2 x E2 |
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Souce |
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Iterate if necessary |
S = |
Estimated Sample Standard Deviation (Start with 5.3 mph) |
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Table 2.6 in Book |
z = |
Standard Normal Deviate = 1.96 for 95% Confidence |
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Table 2.7 in Book |
U = |
Constant = 1.04 (for 85th% Speed) |
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Usually between 1 and 5 mph |
E = |
Permitted Error (Start
with 3.0 mph) |
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N = |
5.32 x 1.962 (2 + 1.042) |
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18 |
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2 x 3.02 |
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We collect 40
speeds to be safe and then calculate the true sample standard deviation |
Let's say the
result is 6.7 mph. Since 6.7 >
5.3, we must recalculate N |
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N = |
6.72 x 1.962 (2 + 1.042) |
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30 |
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2 x 3.02 |
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Since 30 < 40 we
can stop and calculate speed summary information (mean, 85th%, etc.) |
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Jeffrey Buckholz,
P.E. - University of North Florida - TTE 4004 |
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