Sampling poker chips

Goal

This activity shows the importance of sampling methods and how sample is just a subselect of a population and how different methods might affect the results in unpredictable or predictable (biased way).

Structure

You will need either a bunch of poker chips of varied denominations or some marbles, papers with printed numbers etc. You also need sachets, bags or cups which will serve as a draw bags for the chips for the students. The good chip numebrs to choose can be either normal chip denominations, or better to tie it to another psychological scale, such as Extraversion T-score, or memory span etc.

Create several “groups” of 7 chips which will have different expected average value but with different “variables”. The values below are from a range of 1-10 with different average expectation in each group and expectation of 5.4 overall.

Group Description Average value Values
Normal Normal population with a normal non extreme spread 5 3,3,4,5,6,7,7
Normal shifted Normal population with the same SD, but mean is 7 7 5,5,6,7,8,9,9
Extremes the sample has average the same as normal group but with many extremes 5 0,0,2,5,8,10,10
Bias side Sample has only few extremes but oly on a single side 0,0,4,5,6,7,7
Unreliable Has same numbers as normal population, but some values are missing 3,missing,4,5,missing,7,missing

To demonstrate opportunistic sampling, explain that each bag is a school of kids and have each group sample only that, which is closes to them.

Task

Between group comparisons

  1. Select two chips from each group and report average.
  2. Select three chips and report average.
  3. Select 5 chips from each bag and report average.

Population description

  1. You can only select 10 in total. What is the average of the entire population.
  2. I am going to label the bags. You can now select only 10 in total. Which you gonna sample?

Resources

Name URL
Randomisation of possible outcomes https://github.com/hejtmy/porgR/blob/master/sampling/sampling-poker.md
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