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Instructors' Guide for Facilitating Activity

Activity Sampling: Random sampling vs. subjective sampling.  Which is better?

Required Equipment

     • Activity pass code for online data collection 
       (If you do not  have this, please register for a pass code.)
     • Computer with Internet connection


Activity
This activity is designed to introduce the basic ideas of population vs. sample, sampling techniques.  Media often reports survey studies.  How do they find the individuals for the survey?  By volunteering basis?  By random selection?  How is random selection conducted?  Why is random selection better?  This activity gives students the opportunity to select their best ten boxes and have the computer randomly select ten boxes for estimating the population mean.  The concept of bias vs. unbias can be introduced well.  The variation of sample means without discussing sampling distribution can be introduced to compare the precision of sample means using subjective sampling vs. random sampling.
 

Suggested Approach and Some Tips for Facilitating This Activity

1. Describe this activity as a scenario.
  • Newspapers often report surveys.  Do you know how they conduct the survey?  How do they select the individuals?  How well does the survey represent the target population?  The technique they use to select individuals is random selection.  Do you think you can best random select by your own choice?  Here is a challenge for you.  You will enter a contest to select ten boxes that you think represent the population the best and will give you the best estimate of the average number of squares per box.
2. Decide to have your class:
  • Participate in selecting your own box activity (pass code is required).  Go to step 3

                               -OR-

  • Use the data collected by other classes (no pass code required).  Go to step 4.
3. Engage students in the data measurement and data collection stage.
  • Challenge students to beat the random sampling using their own subjective selection.
  • Direct students to the "Add Data" page for this activity.
    -Go to Data Entry, select Activity Sampling
    -Click on "Add Data"
    -Provide the pass code for students to make their selection of ten boxes.
4. Direct students to the Data Download page. 
  • If you are on the activity sampling main page, click on Select Data to download the data

                          -OR-

  • Click on Data Download, select Activity Sampling, then click on Select Data

 

The data stored form this activity include:

  • SAVG: The average number of squares from students' ten boxes.
  • SSTD: The standard deviation of the number of squares form the students' ten boxes.
  • RAVG: The average number of squares from random sampling made by computer.
  • RSTD: The standard deviation of the number of squares from the ten randomly selected boxes.
5. Direct students to analyze the data.

You should have chosen what statistical tool your class will be using for analyzing the data.
     • You may use the software at your local computer lab.
     • You may use the online software, "Crunch_It" at http://www.statcrunch.com/
        For first time users you must sign on to the site.  Please
stress that students
        need
to remember their own ID and password.  Direct students to input the
        data and analyze
the data.  Be more focused on what tools are to be used for
        analyzing this distance
data based on the purpose of this activity.  
      

       Suggested Questions for Classroom Activities

 

6. Facilitate the discussion of the results.
This activity demonstrates the importance of random sampling.  The discussion of the results may include:
 
  • How random sampling is conducted and why it works better than subjective sampling.
  • Why the voluntary sampling such as those shown on TV, is not good.
  • The importance of representation of a population using sampling.
  • How to determine target population and why a "good" sample is important.
  • The effect of sample size can be discussed in terms of sample representation without discussing sampling distribution.
7. Assessment:
Online Self-Test for Students
Suggested Questions for Classroom Activities
Suggested Questions for Homework and Projects

 


 

 
 

CMU, an AA/EO institution, strongly and actively 
strives to increase diversity within its community (see
www.cmich.edu/aaeo/).