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STAT6202_Ch4_PrintsC_1112 (1)

# STAT6202_Ch4_PrintsC_1112 (1) - CHAPTER 4 Population...

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STAT6202 Chapter 4 2011/2012 1 CHAPTER 4 Population statistics ! SAMPLE VERSUS POPULATION STATISTICS ! EXPECTATION AND (CO)VARIANCE ! LINEAR TRANSFORMATION ! LAW OF LARGE NUMBERS STAT6202 Chapter 4 2011/2012 2 POPULATION STATISTICS Comparison with sample

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STAT6202 Chapter 4 2011/2012 3 CHAPTER 4 Population statistics ! SAMPLE VERSUS POPULATION STATISTICS ! EXPECTATION AND (CO)VARIANCE ! LINEAR TRANSFORMATION ! LAW OF LARGE NUMBERS STAT6202 Chapter 4 2011/2012 4 POPULATION STATISTICS Expectation and covariance: “E” ! WHAT IS “E” (expected value): o It is a weighted average of all possible outcomes ! CALCULATION OF “E”: o Discrete variable: weights are probabilities o Continuous variable: weights are probability densities ! WE WILL ONLY LOOK AT DISCRETE CASE: ! INTERPRETATION OF “E” : o long run average
STAT6202 Chapter 4 2011/2012 5 POPULATION STATISTICS Expectation and covariance: example (1) ! Random variables: o X : course mark of a randomly selected student o Y : hours studied by a randomly selected student

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STAT6202_Ch4_PrintsC_1112 (1) - CHAPTER 4 Population...

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