Pooled sample estimate
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Second Example of pooled sample estimate
Equations are omitted for technical reasons - download the original pdf
Two traffic surveys were conducted on the same section of a road. Cars either travel right through the road (through traffic) or start or end somewhere along the road (residential traffic). Data for the two surveys were as follows Sample 1 [Table goes here &- download the original to see it.] Sample 1 [Table goes here &- download the original to see it.] Find the unbiased pooled sample estimate for the population proportion of traffic on the road that is through traffic. Solution We first calculate the proportion of traffic in both samples that was through traffic. [Equation goes here &- download the original to see it.] [Equation goes here &- download the original to see it.] Then the unbiased, pooled estimate of the population proportion of through traffic is [Equation goes here &- download the original to see it.] Of course, if you have the original data, you may as well calculate this pooled estimate by simply adding the total number of through cars and dividing by the total number of cars. [Equation goes here &- download the original to see it.]
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Contents of
Pooled sample estimate
1 Pooled sample estimate &- Population and sample
2 Pooling samples
3 Example of pooled sample estimate
4 Pooled estimator of the population proportion
5 Second Example of pooled sample estimate
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