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Chapter 3 Selected Basic Concepts in Statistics, Part 2

Chapter 3 Selected Basic Concepts in Statistics, Part 2. Estimating a Population Total  Finite Population Procedures. Estimating the population total . Estimating the population total . Expected value. Estimating the population total . Variance, standard deviation, standard error.

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Chapter 3 Selected Basic Concepts in Statistics, Part 2

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  1. Chapter 3Selected Basic Concepts in Statistics, Part 2 • Estimating a Population Total  • Finite Population Procedures

  2. Estimating the population total 

  3. Estimating the population total  • Expected value

  4. Estimating the population total  • Variance, standard deviation, standard error

  5. Finite population case • Example: sampling w/ replacement to estimate 

  6. Finite population case • Example: sampling w/ replacement to estimate 

  7. Finite population case • Example: sampling w/ replacement to estimate  • From the table:

  8. Finite population case • Example: sampling w/ replacement to estimate 

  9. Finite population case • Example: sampling w/ replacement to estimate  • Example Summary

  10. Finite population case • Sampling w/ replacement to estimate pop. total  • In general

  11. Finite population case • Sampling w/ replacement to estimate pop. total 

  12. Finite population case In reality, do not know value of yifor every item in the population. BUT can choose i proportional to a known measurement highly correlated with yi . • Sampling w/ replacement to estimate pop. total 

  13. Finite population case • Sampling w/ replacement to estimate pop. total 

  14. Finite population case Thus far we have assumed a population that does not change when the first item is selected, that is, we sampled with replacement. • Sampling without replacement to estimate pop. total  When sampling without replacement this is not true • Example: population {1, 2, 3, 4}; n=2, suppose equally likely. • Prob. of selecting 3 on first draw is ¼. • Prob. of selecting 3 on second draw depends on first draw (probability is 0 or 1/3)

  15. Finite population case • Sampling without replacement to estimate pop. total  Worksheet

  16. End of Chapter 3, part 2

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