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Textbook ExamplesSampling: Design and Analysis by Sharon L. LohrChapter 2: Simple Probability Samples

 

Stata: Sampling: Design and Analysis by Sharon L. Lohr Chapter 2

 

 

 

Textbook Examples
Sampling: Design and Analysis by Sharon L. Lohr
Chapter 2: Simple Probability Sample

NOTE:  If you want to see the design effect or the misspecification
effect, use estat effects after the command.

Page 27 in the middle

use https://stats.idre.ucla.edu/stat/stata/examples/lohr/samples.dta, clear
sort k
by k: gen n = _n
list k n if n[_n+1] == 1 | k == 58

     +---------+
     |  k    n |
     |---------|
  1. | 22    1 |
  7. | 28    6 |
  9. | 30    2 |
 12. | 32    3 |
 19. | 34    7 |
     |---------|
 23. | 36    4 |
 29. | 38    6 |
 41. | 40   12 |
 47. | 42    6 |
 51. | 44    4 |
     |---------|
 58. | 46    7 |
 61. | 48    3 |
 63. | 50    2 |
 69. | 52    6 |
 70. | 58    1 |
     +---------+

Page 27, figure 2.1

histogram k, percent discrete xtitle(Estimate of t from Sample) ///
ylabel( , nogrid angle(0))
Image lohrch2-1

Page 28 at the top

summ k
    Variable |       Obs        Mean    Std. Dev.       Min        Max
-------------+--------------------------------------------------------
           k |        70          40    7.460038         22         58

Page 32, figure 2.3

use https://stats.idre.ucla.edu/stat/stata/examples/lohr/agsrs.dta, clear
histogram acres92, freq bin(50) ///
  xtitle(Millions of Acres Devoted to Farms) ylabel( , nogrid angle(0)) ylabel(0(10)50)
Image lohrch2-2

Page 34 in the middle

gen myfpc = 3078
svyset , fpc(myfpc)

      pweight: <none>
          VCE: linearized
     Strata 1: <one>
         SU 1: <observations>
        FPC 1: myfpc

svydes

Survey: Describing stage 1 sampling units

      pweight: <none>
          VCE: linearized
     Strata 1: <one>
         SU 1: <observations>
        FPC 1: myfpc

                                      #Obs per Unit
                              ----------------------------
Stratum    #Units     #Obs      min       mean      max   
--------  --------  --------  --------  --------  --------
       1       300       300         1       1.0         1
--------  --------  --------  --------  --------  --------
       1       300       300         1       1.0         1

svy: mean acres92
(running mean on estimation sample)

Survey: Mean estimation

Number of strata =       1          Number of obs    =     300
Number of PSUs   =     300          Population size  =     300
                                    Design df        =     299

--------------------------------------------------------------
             |             Linearized
             |       Mean   Std. Err.     [95% Conf. Interval]
-------------+------------------------------------------------
     acres92 |     297897   18898.43      260706.3    335087.8
--------------------------------------------------------------

Page 35 at the top

gen p = 0
replace p = 1 if acres92 < 200000
svy: mean p
(running mean on estimation sample)

Survey: Mean estimation

Number of strata =       1          Number of obs    =     300
Number of PSUs   =     300          Population size  =     300
                                    Design df        =     299

--------------------------------------------------------------
             |             Linearized
             |       Mean   Std. Err.     [95% Conf. Interval]
-------------+------------------------------------------------
           p |        .51    .027465      .4559508    .5640492
--------------------------------------------------------------