PROC SURVEYSELECT Limiting Number of Hits

[benjamin_2018]

Hello. I am sampling about 1,100 items from a frame of about 1 million observations. Per agency practices, I am using probability proportional to size with replacement. However, I want to limit the number of times any single observation is selected to a maximum of 3. In my output thus far, some items are selected as may as 10-15 times. Is there an efficient way to do this? The only way I think to do this is to sample once, then re-sample observations where an item was already selected 3 or more times, deleting that item from the frame. Then I may have to re-sample again, and again, until items are selected no more than 3 times. 

[ballardw]

---

@benjamin_2018 wrote:

Hello. I am sampling about 1,100 items from a frame of about 1 million observations. Per agency practices, I am using probability proportional to size with replacement. However, I want to limit the number of times any single observation is selected to a maximum of 3. In my output thus far, some items are selected as may as 10-15 times. Is there an efficient way to do this? The only way I think to do this is to sample once, then re-sample observations where an item was already selected 3 or more times, deleting that item from the frame. Then I may have to re-sample again, and again, until items are selected no more than 3 times. 

---

Please show the code you are using. There is enough interaction between options that details for such really matter. Better would be to include some (dummy) data that behaves similarly to your read data if it is sensitive.

Instructions here: https://communities.sas.com/t5/SAS-Communities-Library/How-to-create-a-data-step-version-of-your-dat... will show how to turn an existing SAS data set into data step code that can be pasted into a forum code box using the </> icon or attached as text to show exactly what you have and that we can test code against.

[benjamin_2018]

@ballardw Here is the proc surveyselect step. I added a sample "universe" to this thread as well as sample sizes for 4 strata. This is a sample of the actual data I am working with. In this example, I want to sample 48 items among 4 strata from a universe of 5,208 items. But, I want to limit the number of hits for any single ID to a maximum of 3. Maybe I could use the maxsize option? 

proc surveyselect data = work.universe out = work.selections outhits method = PPS_WR SAMPSIZE = work.sample_size;
size probability;
strata ELI;
id ELI ID;
run;

[ballardw · Accepted solution]

You might try adding:

samplingunit id;

At least when I run your data with the option none of the ID come in with more than 3 sometimes. I suspect your root cause is you have one of the size values that is twice as large as the next smallest and typically 10 or more times larger than most of the values in the EE011 strata. Second and third largest are also quite large compared to most in the strata. This gets compounded when more than 75% of the requested sample comes from that strata though it is only about 27 percent of the original data. So the larger probabilities get hit much more often.

With the samplingunit id I would get about one sample in five with the largest hit of 3.

The MAXSIZE actually adjusts how the Size variable is used an seemed in a small number of trials to increase the maximum number of hits.

You might try adding another stratum variable so that those larger probabilities are in a separate substratum (not sampling unit) and limiting how many records come from that such that the total for the main strata still totals the 33. All the records in other main strata would have a single substratum value so those probabilities behave the same. Something like this:

data work.universe ;
   infile datalines dlm=',';
   input ELI $ ID:$10. probability;
   if ELI='EE011' and probability>0.02 then sub=2;
   else sub=1; 

datalines;
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EE041,B081RVP56T,0.0001563074
EE041,B07SG37KL1,0.0001561256
EE041,B07N96ZDB7,0.0001559443
EE041,B0117RGD0K,0.0001557634
EE041,B08Q3NR32S,0.0001555829
EE041,B086Y8TL6M,0.0001554028
EE041,B0814PXB11,0.0001552232
EE041,B07K7MSV25,0.0001550439
EE041,B0743HM2PZ,0.0001548651
EE041,B01GGKYN0A,0.0001546867
EE041,B08PP2KMCY,0.0001545087
EE041,B08J5LPB6G,0.0001543311
EE041,B08FYTRF6J,0.0001541539
EE041,B08BC6NGJ1,0.0001539771
EE041,B088H7PL38,0.0001538007
EE041,B07W6RX2C3,0.0001536248
EE041,B07NPS6S41,0.0001534492
EE041,B07MCVBP7N,0.000153274
EE041,B07HH1QSLB,0.0001530993
EE041,B095KKV97R,0.0001529249
EE041,B0928V89QB,0.0001527509
EE041,B08KWML1ND,0.0001525773
EE041,B08F46G9KV,0.0001524041
EE041,B08CL3JKBL,0.0001522313
EE041,B08BF1QSZQ,0.0001520589
EE041,B089J96PPS,0.0001518869
EE041,B086MP2VBP,0.0001517153
EE041,B07X9VG6ZJ,0.0001515441
EE041,B07WPWX689,0.0001513732
EE041,B07VC383LJ,0.0001512028
EE041,B07GW1DXFP,0.0001510327
EE041,B0781VQD66,0.000150863
EE041,B08JT25MZ8,0.0001506937
EE041,B08H1WNYTR,0.0001505247
EE041,B087HCYT7G,0.0001503562
EE041,B0866B9HMF,0.000150188
EE041,B07SPZH7ZB,0.0001500202
EE041,B07B2SYXT6,0.0001498527
EE041,B08NJ53YKB,0.0001496857
EE041,B08BFDY56J,0.000149519
EE041,B082YQTQPC,0.0001493527
EE041,B07YLJ55SJ,0.0001491867
EE041,B07VYPJCRW,0.0001490211
EE041,B07PKVJWJ4,0.0001488559
EE041,B07GWC9YL7,0.0001486911
EE041,B08MXXC8TX,0.0001485266
EE041,B08FCFQPNJ,0.0001483625
EE041,B08DDH21C1,0.0001481987
EE041,B08BF971WF,0.0001480353
EE041,B07YDM371X,0.0001478723
EE041,B00NH12O5I,0.0001477096
EE041,B08RRPXXTT,0.0001475473
EE041,B08P544KWF,0.0001473853
EE041,B08JZ31TYH,0.0001472237
EE041,B08HCNKVP1,0.0001470625
EE041,B085WTYQ4X,0.0001469016
EE041,B07W8ZMXG5,0.000146741
EE041,B07CHW5KMY,0.0001465808
EE041,B079JXY4TJ,0.000146421
EE041,B079H6L4V2,0.0001462615
EE041,B076KC34PM,0.0001461023
EE041,B095Y2P9PD,0.0001459435
EE041,B08JY5GC29,0.0001457851
EE041,B08G43MX9G,0.000145627
EE041,B08FLDL1PM,0.0001454692
EE041,B089W6N4GK,0.0001453117
EE041,B085WQMTJS,0.0001451546
EE041,B0845ZVJW3,0.0001449979
EE041,B07W87124X,0.0001448415
EE041,B07RMPVX1D,0.0001446854
EE041,B07KS366GB,0.0001445297
EE041,B07FZG77X6,0.0001443742
EE041,B06X9FGTMN,0.0001442192
EE041,B08LVPGG88,0.0001440644
EE041,B08G1MPDPX,0.00014391
EE041,B087RHZ611,0.0001437559
EE041,B083LDCQG6,0.0001436022
EE041,B07YXWX985,0.0001434488
EE041,B07WDS5J5V,0.0001432957
EE041,B07KPLPZ38,0.0001431429
EE041,B07KB47SPF,0.0001429905
EE041,B01MDQRZAN,0.0001428384
EE041,B00OQ19QYA,0.0001426866
EE041,B09FJXPVH6,0.0001425351
EE041,B093GQ2B3K,0.0001423839
EE041,B08X421TV4,0.0001422331
EE041,B08HXX8V97,0.0001420826
EE041,B08GC2S1C2,0.0001419324
EE041,B08CY45242,0.0001417825
EE041,B087H7X29D,0.000141633
EE041,B0869S29LG,0.0001414837
EE041,B0842WSBBZ,0.0001413348
EE041,B07WC54P9G,0.0001411862
EE041,B07Q3SXPFY,0.0001410379
EE041,B0978ND2K4,0.0001408899
EE041,B08ZS94MPZ,0.0001407422
EE041,B07Z3LS8GM,0.0001405948
EE041,B07DC4RZPY,0.0001404478
EE041,B08JYNPJK5,0.000140301
EE041,B089LKV86J,0.0001401545
EE041,B088HJ2KKR,0.0001400084
EE041,B087TSZJCM,0.0001398626
EE041,B082QPSB79,0.000139717
EE041,B081VVCVP9,0.0001395718
EE041,B07YTZHF5F,0.0001394268
;


data work.sample_size ;
   infile datalines dlm=',';
   input ELI $ sub SampleSize;
datalines;
EA011,1,6
EE011,1,32
EE011,2,1
EE021,1,8
EE041,1,1
;

proc sort data=universe;
   by eli sub id;
run;

proc surveyselect data = work.universe out = work.selections 
   outhits method = PPS_WR SAMPSIZE = work.sample_size  ;
   size probability;
   strata ELI sub;
   id ELI ID;
run;

I only made 5 trials with this but none of those had more than 3 hits. YMMV.

[benjamin_2018]

@ballardw Thank you. I think I follow you. I will try to add the samplingunit statement and will also look at rebalancing the sampling universe to be congruent with the sample sizes per stratum.