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# Lecture20 - ECO220Y Lecture 20 Sampling Distribution...

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ECO220Y Lecture 20 Sampling Distribution Simulation Sampling Distribution- Simulation Migiwa Tanaka Reading: Section 9.1 (pages 301 – 303) 1

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O tli Outline Review: Approaches to Obtain Sampling Distribution Review: Approaches to Obtain Sampling Distribution. Simulation Approach D Description Example Simulation Error Computer Based Method Application 2
S li Di t ib ti Sampling Distribution There are two ways to obtain sampling distribution: Analytical Approach (Lecture 17) Si l ti A h Simulation Approach While analytical approach yields accurate sampling distribution, it is difficult to implement in many situations. Examples? With simulation approach, you generate many sets of random samples from a single population. The frequency distribution of the sample statistic of the simulated samples is the distribution of the interest. 3

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Si l ti A h Simulation Approach How do you draw many random samples? Example. Rolling a fair die. First fix sample size n , statistic of interest, and number of simulation, m . Draw 1: Roll a die n times. Calculate the statistic and record the result. Draw 2: Roll a die n times. Calculate the statistic and record the result. Draw m: Roll a die n times. Calculate the statistic and record the result.
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Lecture20 - ECO220Y Lecture 20 Sampling Distribution...

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