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solutions3e

# solutions3e - Stat 651(Winter 2011 Kaizar Homework 3 Extra...

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Stat 651 (Winter 2011) Kaizar Homework 3 Extra Problems Solutions Exercises 1. Lohr, Chapter 3 problem 22 (a) Recall that S 2 h = N h N h - 1 p (1 - p ). Since we are considering the population of Milwaukee, it is reasonable to assume that N h N h - 1 1, and so S 2 h p (1 - p ) Stratum 1 2 p h 0.10 0.03 S h 0 . 09 = 0 . 3 0 . 0291 = 0 . 17 N h /N 0.4 0.6 N h S h /N 0.12 0.102 N h S h / N S 0.54 0.46 n h 1081.0 918.9 n h 1081 919 (b) Allocation: Stratum 1 2 optimal 1081 919 proportional 800 1200 For a SRS, the overall proportion is 0.1*0.4+0.03*0.6 = 0.058 Optimal standard deviation: 0.00497 Proportional standard deviation: 0.00517 SRS standard deviation: 0.00523 2. Lohr, Chapter 3 problem 35 (a) I used the following SAS code to do the allocation and selection. /*first look at the stratification variable = team*/ /*save the counts in a new dataset*/ proc freq data=work.baseball; tables team / out=mylib.baseballteams; run; data mylib.baseballteams; set mylib.baseballteams; _total_=count; keep team _total_; run; /*we see that there are 797 players in 30 teams*/ /*to do proportional allocation, I need to 1. find the proportion of players in each stratum 2. multiply this by the sample size n

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solutions3e - Stat 651(Winter 2011 Kaizar Homework 3 Extra...

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