Lecture18 - ECO ECO 220Y Lecture18 Sampling Distribution...

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ECO 220Y Lecture18 Sampling Distribution – Part 2 Central Limit Theorem Migiwa Tanaka Reading: 9.1,9.3,9.4 1
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Outline ecap of Sampling Distribution Recap of Sampling Distribution Relationship between sample size and sampling i t ib ti f distribution of mean Central Limit Theorem Application 1 pplication 2– mpling Distribution of difference of two Application 2 Sampling Distribution of difference of two means. 2
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Recap mpling distribution is distribution of a statistic Sampling distribution is distribution of a statistic calculated from samples drawn from the same population. d i i t We can derive it analytically – remember the telework example. by simulation 3
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Parameters of Sampling Distribution of Mean ean: Mean: ariance: X X X E ] [ 2 Variance: n X X 2 Standard Deviation: X X Homework: How do you derive these parameters? Hint: n n X X 1 Try them first by yourself and you can find solution in CD pendix I of the textbook. i i n 1 appendix I of the textbook. 4
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Parameters of Sampling Distribution of Mean andard Error tandard Deviation of sample mean Standard Error : Standard Deviation of sample mean. It measures the variation of around its mean which is qual to X X equal to . It measures the magnitude of sampling errors. Why? igh S E ore likely to get remote value from X High S.E. ՜ More likely to get remote value from Low S.E. More likely to get closer value to X X 8 08 06 .0 .06 .04 . ensity Density .02 D 5 0 X X X
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Relationship between sample size and sampling distribution of mean ow does the sample size n relate to the sampling distribution How does the sample size n relate to the sampling distribution of mean? nalysis of Parameters: Analysis of Parameters: Mean: X X E ] [ Standard Error: X X n X 6
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Relationship between sample size and n sampling distribution of mean Each X i
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This note was uploaded on 03/01/2011 for the course ECON 220 taught by Professor Tanaka during the Spring '11 term at University of Toronto- Toronto.

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Lecture18 - ECO ECO 220Y Lecture18 Sampling Distribution...

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