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Chapter Eleven

            Sampling:
      Design and Procedures
11-2


Chapter Outline
1) Overview
2) Sample or Census
3) The Sampling Design Process
   i.     Define the Target Population
   ii.    Determine the Sampling Frame
   iii.   Select a Sampling Technique
   iv.    Determine the Sample Size
   v.     Execute the Sampling Process
11-3


Chapter Outline
4) A Classification of Sampling Techniques
   i.         Nonprobability Sampling Techniques
         a.      Convenience Sampling
         b.      Judgmental Sampling
         c.      Quota Sampling
         d.      Snowball Sampling
   ii.        Probability Sampling Techniques
         a.      Simple Random Sampling
         b.      Systematic Sampling
         c.      Stratified Sampling
         d.      Cluster Sampling
         e.      Other Probability Sampling Techniques
11-4


Chapter Outline
5.    Choosing Nonprobability versus Probability
      Sampling
6.    Uses of Nonprobability versus Probability Sampling
7.    International Marketing Research
8.    Ethics in Marketing Research
9.    Internet and Computer Applications
10.   Focus On Burke
11.   Summary
12.   Key Terms and Concepts
11-5


   Sample vs. Census
    Table 11.1

                                       Condit ions Favor ing t he Use of
Type of St udy                         Sam ple         Census


1. Budget                              Sm all           Large

2. Tim e available                     Short            Long

3. Populat ion size                    Large            Sm all

4. Variance in t he charact erist ic   Sm all           Large

5. Cost of sam pling errors            Low              High

6. Cost of nonsam pling errors         High             Low

7. Nat ure of m easurem ent            Dest ruct ive    Nondest ruct ive

8. At t ent ion t o individual cases   Yes              No
11-6


The Sampling Design Process
Fig. 11.1




                Define the Population


            Determine the Sampling Frame


            Select Sampling Technique(s)


             Determine the Sample Size


            Execute the Sampling Process
11-7


Define the Target Population
 The target population is the collection of elements or
 objects that possess the information sought by the
 researcher and about which inferences are to be
 made. The target population should be defined in
 terms of elements, sampling units, extent, and time.

     An element is the object about which or from
      which the information is desired, e.g., the
      respondent.
     A sampling unit is an element, or a unit
      containing the element, that is available for
      selection at some stage of the sampling process.
     Extent refers to the geographical boundaries.
     Time is the time period under consideration.
11-8


Define the Target Population
 Important qualitative factors in determining the
 sample size

     the importance of the decision
     the nature of the research
     the number of variables
     the nature of the analysis
     sample sizes used in similar studies
     incidence rates
     completion rates
     resource constraints
Sample Sizes Used in Marketing
                                                                            11-9


         Research Studies
         Table 11.2


Type of St udy                             Minim um Size   Typical Range


Problem ident if icat ion r esear ch       500             1,000- 2,500
( e.g. m ar ket pot ent ial)
Problem -solving r esear ch ( e.g.         200             300- 500
pricing)

Product t est s                            200             300- 500

Test m ar ket ing st udies                 200             300- 500

TV, radio, or prin t adver t ising ( per   150             200- 300
com m ercial or ad t est ed)
Test -m arket audit s                      10 st or es     10- 20 st ores

Focus gr oups                              2 gr oups       4- 12 gr oups
Classification of Sampling                                    11-10


       Techniques
       Fig. 11.2


                        Sampling Techniques


                Nonprobability            Probability
              Sampling Techniques     Sampling Techniques



Convenience    Judgmental        Quota         Snowball
 Sampling       Sampling        Sampling       Sampling



    Simple         Systematic     Stratified      Cluster   Other Sampling
   Random           Sampling      Sampling       Sampling    Techniques
   Sampling
11-11


Convenience Sampling
 Convenience sampling attempts to obtain a
 sample of convenient elements. Often, respondents
 are selected because they happen to be in the right
 place at the right time.

     use of students, and members of social
      organizations
     mall intercept interviews without qualifying the
      respondents
     department stores using charge account lists
     “people on the street” interviews
11-12


Judgmental Sampling
 Judgmental sampling is a form of convenience
 sampling in which the population elements are
 selected based on the judgment of the researcher.

     test markets
     purchase engineers selected in industrial
      marketing research
     bellwether precincts selected in voting behavior
      research
     expert witnesses used in court
11-13


     Quota Sampling
Quota sampling may be viewed as two-stage restricted judgmental
sampling.
  The first stage consists of developing control categories, or quotas,

   of population elements.
  In the second stage, sample elements are selected based on

   convenience or judgment.

                     Population               Sample
                     composition              composition
   Control
   Characteristic    Percentage       Percentage      Number
   Sex
    Male             48               48              480
    Female           52               52              520
                     ____             ____            ____
                     100              100             1000
11-14


Snowball Sampling
 In snowball sampling, an initial group of
 respondents is selected, usually at random.

     After being interviewed, these respondents are
      asked to identify others who belong to the target
      population of interest.
     Subsequent respondents are selected based on
      the referrals.
11-15


Simple Random Sampling
   Each element in the population has a known and
    equal probability of selection.
   Each possible sample of a given size (n) has a known
    and equal probability of being the sample actually
    selected.
   This implies that every element is selected
    independently of every other element.
11-16


Systematic Sampling
   The sample is chosen by selecting a random starting point and
    then picking every ith element in succession from the sampling
    frame.
   The sampling interval, i, is determined by dividing the population
    size N by the sample size n and rounding to the nearest integer.

   When the ordering of the elements is related to the
    characteristic of interest, systematic sampling increases the
    representativeness of the sample.
   If the ordering of the elements produces a cyclical pattern,
    systematic sampling may decrease the representativeness of
    the sample.
    For example, there are 100,000 elements in the population and
    a sample of 1,000 is desired. In this case the sampling interval,
    i, is 100. A random number between 1 and 100 is selected. If,
    for example, this number is 23, the sample consists of elements
    23, 123, 223, 323, 423, 523, and so on.
11-17


Stratified Sampling
   A two-step process in which the population is
    partitioned into subpopulations, or strata.
   The strata should be mutually exclusive and
    collectively exhaustive in that every population
    element should be assigned to one and only one
    stratum and no population elements should be
    omitted.
   Next, elements are selected from each stratum by a
    random procedure, usually SRS.
   A major objective of stratified sampling is to increase
    precision without increasing cost.
11-18


Stratified Sampling
   The elements within a stratum should be as homogeneous as
    possible, but the elements in different strata should be as
    heterogeneous as possible.
   The stratification variables should also be closely related to the
    characteristic of interest.
   Finally, the variables should decrease the cost of the
    stratification process by being easy to measure and apply.
   In proportionate stratified sampling, the size of the sample
    drawn from each stratum is proportionate to the relative size of
    that stratum in the total population.
   In disproportionate stratified sampling, the size of the sample
    from each stratum is proportionate to the relative size of that
    stratum and to the standard deviation of the distribution of the
    characteristic of interest among all the elements in that stratum.
11-19


Cluster Sampling
   The target population is first divided into mutually exclusive and
    collectively exhaustive subpopulations, or clusters.
   Then a random sample of clusters is selected, based on a
    probability sampling technique such as SRS.
   For each selected cluster, either all the elements are included in
    the sample (one-stage) or a sample of elements is drawn
    probabilistically (two-stage).
   Elements within a cluster should be as heterogeneous as
    possible, but clusters themselves should be as homogeneous
    as possible. Ideally, each cluster should be a small-scale
    representation of the population.
   In probability proportionate to size sampling, the clusters
    are sampled with probability proportional to size. In the second
    stage, the probability of selecting a sampling unit in a selected
    cluster varies inversely with the size of the cluster.
11-20


 Types of Cluster Sampling
  Fig. 11.3        Cluster Sampling




One-Stage             Two-Stage                Multistage
Sampling               Sampling                Sampling



         Simple Cluster              Probability
           Sampling                 Proportionate
                                  to Size Sampling
Strengths and Weaknesses of
                                                                                                    11-21


Basic Sampling Techniques
 Table 11.3
Technique                 Strengths                     Weaknesses
Nonprobability Sampling   Least expensive, least        Selection bias, sample not
Convenience sampling      time-consuming, most          representative, not recommended for
                          convenient                    descriptive or causal research
Judgmental sampling       Low cost, convenient,         Does not allow generalization,
                          not time-consuming            subjective
Quota sampling            Sample can be controlled      Selection bias, no assurance of
                          for certain characteristics   representativeness
Snowball sampling         Can estimate rare             Time-consuming
                          characteristics

Probability sampling      Easily understood,            Difficult to construct sampling
Simple random sampling    results projectable           frame, expensive, lower precision,
(SRS)                                                   no assurance of representativeness.
Systematic sampling       Can increase                  Can decrease representativeness
                          representativeness,
                          easier to implement than
                          SRS, sampling frame not
                           necessary
Stratified sampling       Include all important         Difficult to select relevant
                          subpopulations,               stratification variables, not feasible to
                          precision                     stratify on many variables, expensive
Cluster sampling          Easy to implement, cost       Imprecise, difficult to compute and
                          effective                     interpret results
11-22


    Procedures for Drawing Probability Samples
    Fig. 11.4


                       Simple Random
                          Sampling




1. Select a suitable sampling frame
2. Each element is assigned a number from 1 to N
   (pop. size)
3. Generate n (sample size) different random numbers
   between 1 and N
4. The numbers generated denote the elements that
   should be included in the sample
Procedures for Drawing
                                                                  11-23


     Probability Samples
     Fig. 11.4 cont.                               Systematic
                                                    Sampling



1. Select a suitable sampling frame
2. Each element is assigned a number from 1 to N (pop. size)
3. Determine the sampling interval i:i=N/n. If i is a fraction,
   round to the nearest integer
4. Select a random number, r, between 1 and i, as explained in
   simple random sampling
5. The elements with the following numbers will comprise the
   systematic random sample: r, r+i,r+2i,r+3i,r+4i,...,r+(n-1)i
Procedures for Drawing
                                                                       11-24


       Probability Samples
       Fig. 11.4 cont.                               Stratified
                                                     Sampling


1. Select a suitable frame
2. Select the stratification variable(s) and the number of strata, H
3. Divide the entire population into H strata. Based on the
   classification variable, each element of the population is assigned
   to one of the H strata
4. In each stratum, number the elements from 1 to Nh (the pop.
   size of stratum h)
5. Determine the sample size of each stratum, nh, based on
   proportionate or disproportionate stratified sampling, where
                     H
                           nh = n
                     h=1
6. In each stratum, select a simple random sample of size nh
Procedures for Drawing
                                                                    11-25


       Probability Samples                              Cluster
        Fig. 11.4 cont.                                Sampling


1. Assign a number from 1 to N to each element in the population
2. Divide the population into C clusters of which c will be included in
   the sample
3. Calculate the sampling interval i, i=N/c (round to nearest integer)
4. Select a random number r between 1 and i, as explained in simple
   random sampling
5. Identify elements with the following numbers:
   r,r+i,r+2i,... r+(c-1)i
6. Select the clusters that contain the identified elements
7. Select sampling units within each selected cluster based on SRS
   or systematic sampling
8. Remove clusters exceeding sampling interval i. Calculate new
   population size N*, number of clusters to be selected C*= C-1,
   and new sampling interval i*.
11-26


Procedures for Drawing Probability Samples
Fig. 11.4 cont.
                                             Cluster
                                            Sampling


 Repeat the process until each of the remaining
 clusters has a population less than the
 sampling interval. If b clusters have been
 selected with certainty, select the remaining
 c-b clusters according to steps 1 through 7.
 The fraction of units to be sampled with
 certainty is the overall sampling fraction = n/N.
 Thus, for clusters selected with certainty, we
 would select ns=(n/N)(N1+N2+...+Nb) units. The
 units selected from clusters selected under
 PPS sampling will therefore be n*=n- ns.
Choosing Nonprobability vs.
                                                                        11-27


       Probability Sampling
        Table 11.4 cont.
                                     Condit ions Favoring t he Use of
Fact or s                            Nonprobabilit y Probabilit y
                                     sam pling        sam pling

Nat ur e of resear ch                Explorat ory     Conclusive


Relat ive m agnit ude of sam pling   Nonsam pling     Sam pling
and nonsam pling errors              errors ar e      errors are
                                     larger           larger

Variabilit y in t he populat ion     Hom ogeneous     Het er ogeneous
                                     ( low )          ( high)

St at ist ical considerat ions       Unf avorable     Favorable


Operat ional considerat ions         Favorable        Unfavorable
11-28


Tennis' Systematic Sampling Returns a Smash


 Tennis magazine conducted a mail survey of its subscribers
 to gain a better understanding of its market. Systematic
 sampling was employed to select a sample of 1,472
 subscribers from the publication's domestic circulation list. If
 we assume that the subscriber list had 1,472,000 names, the
 sampling interval would be 1,000 (1,472,000/1,472). A
 number from 1 to 1,000 was drawn at random. Beginning
 with that number, every 1,000th subscriber was selected.


 A brand-new dollar bill was included with the questionnaire
 as an incentive to respondents. An alert postcard was
 mailed one week before the survey. A second, follow-up,
 questionnaire was sent to the whole sample ten days after
 the initial questionnaire. There were 76 post office returns,
 so the net effective mailing was 1,396. Six weeks after the
 first mailing, 778 completed questionnaires were returned,
 yielding a response rate of 56%.

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Malhotra11

  • 1. Chapter Eleven Sampling: Design and Procedures
  • 2. 11-2 Chapter Outline 1) Overview 2) Sample or Census 3) The Sampling Design Process i. Define the Target Population ii. Determine the Sampling Frame iii. Select a Sampling Technique iv. Determine the Sample Size v. Execute the Sampling Process
  • 3. 11-3 Chapter Outline 4) A Classification of Sampling Techniques i. Nonprobability Sampling Techniques a. Convenience Sampling b. Judgmental Sampling c. Quota Sampling d. Snowball Sampling ii. Probability Sampling Techniques a. Simple Random Sampling b. Systematic Sampling c. Stratified Sampling d. Cluster Sampling e. Other Probability Sampling Techniques
  • 4. 11-4 Chapter Outline 5. Choosing Nonprobability versus Probability Sampling 6. Uses of Nonprobability versus Probability Sampling 7. International Marketing Research 8. Ethics in Marketing Research 9. Internet and Computer Applications 10. Focus On Burke 11. Summary 12. Key Terms and Concepts
  • 5. 11-5 Sample vs. Census Table 11.1 Condit ions Favor ing t he Use of Type of St udy Sam ple Census 1. Budget Sm all Large 2. Tim e available Short Long 3. Populat ion size Large Sm all 4. Variance in t he charact erist ic Sm all Large 5. Cost of sam pling errors Low High 6. Cost of nonsam pling errors High Low 7. Nat ure of m easurem ent Dest ruct ive Nondest ruct ive 8. At t ent ion t o individual cases Yes No
  • 6. 11-6 The Sampling Design Process Fig. 11.1 Define the Population Determine the Sampling Frame Select Sampling Technique(s) Determine the Sample Size Execute the Sampling Process
  • 7. 11-7 Define the Target Population The target population is the collection of elements or objects that possess the information sought by the researcher and about which inferences are to be made. The target population should be defined in terms of elements, sampling units, extent, and time.  An element is the object about which or from which the information is desired, e.g., the respondent.  A sampling unit is an element, or a unit containing the element, that is available for selection at some stage of the sampling process.  Extent refers to the geographical boundaries.  Time is the time period under consideration.
  • 8. 11-8 Define the Target Population Important qualitative factors in determining the sample size  the importance of the decision  the nature of the research  the number of variables  the nature of the analysis  sample sizes used in similar studies  incidence rates  completion rates  resource constraints
  • 9. Sample Sizes Used in Marketing 11-9 Research Studies Table 11.2 Type of St udy Minim um Size Typical Range Problem ident if icat ion r esear ch 500 1,000- 2,500 ( e.g. m ar ket pot ent ial) Problem -solving r esear ch ( e.g. 200 300- 500 pricing) Product t est s 200 300- 500 Test m ar ket ing st udies 200 300- 500 TV, radio, or prin t adver t ising ( per 150 200- 300 com m ercial or ad t est ed) Test -m arket audit s 10 st or es 10- 20 st ores Focus gr oups 2 gr oups 4- 12 gr oups
  • 10. Classification of Sampling 11-10 Techniques Fig. 11.2 Sampling Techniques Nonprobability Probability Sampling Techniques Sampling Techniques Convenience Judgmental Quota Snowball Sampling Sampling Sampling Sampling Simple Systematic Stratified Cluster Other Sampling Random Sampling Sampling Sampling Techniques Sampling
  • 11. 11-11 Convenience Sampling Convenience sampling attempts to obtain a sample of convenient elements. Often, respondents are selected because they happen to be in the right place at the right time.  use of students, and members of social organizations  mall intercept interviews without qualifying the respondents  department stores using charge account lists  “people on the street” interviews
  • 12. 11-12 Judgmental Sampling Judgmental sampling is a form of convenience sampling in which the population elements are selected based on the judgment of the researcher.  test markets  purchase engineers selected in industrial marketing research  bellwether precincts selected in voting behavior research  expert witnesses used in court
  • 13. 11-13 Quota Sampling Quota sampling may be viewed as two-stage restricted judgmental sampling.  The first stage consists of developing control categories, or quotas, of population elements.  In the second stage, sample elements are selected based on convenience or judgment. Population Sample composition composition Control Characteristic Percentage Percentage Number Sex Male 48 48 480 Female 52 52 520 ____ ____ ____ 100 100 1000
  • 14. 11-14 Snowball Sampling In snowball sampling, an initial group of respondents is selected, usually at random.  After being interviewed, these respondents are asked to identify others who belong to the target population of interest.  Subsequent respondents are selected based on the referrals.
  • 15. 11-15 Simple Random Sampling  Each element in the population has a known and equal probability of selection.  Each possible sample of a given size (n) has a known and equal probability of being the sample actually selected.  This implies that every element is selected independently of every other element.
  • 16. 11-16 Systematic Sampling  The sample is chosen by selecting a random starting point and then picking every ith element in succession from the sampling frame.  The sampling interval, i, is determined by dividing the population size N by the sample size n and rounding to the nearest integer.  When the ordering of the elements is related to the characteristic of interest, systematic sampling increases the representativeness of the sample.  If the ordering of the elements produces a cyclical pattern, systematic sampling may decrease the representativeness of the sample. For example, there are 100,000 elements in the population and a sample of 1,000 is desired. In this case the sampling interval, i, is 100. A random number between 1 and 100 is selected. If, for example, this number is 23, the sample consists of elements 23, 123, 223, 323, 423, 523, and so on.
  • 17. 11-17 Stratified Sampling  A two-step process in which the population is partitioned into subpopulations, or strata.  The strata should be mutually exclusive and collectively exhaustive in that every population element should be assigned to one and only one stratum and no population elements should be omitted.  Next, elements are selected from each stratum by a random procedure, usually SRS.  A major objective of stratified sampling is to increase precision without increasing cost.
  • 18. 11-18 Stratified Sampling  The elements within a stratum should be as homogeneous as possible, but the elements in different strata should be as heterogeneous as possible.  The stratification variables should also be closely related to the characteristic of interest.  Finally, the variables should decrease the cost of the stratification process by being easy to measure and apply.  In proportionate stratified sampling, the size of the sample drawn from each stratum is proportionate to the relative size of that stratum in the total population.  In disproportionate stratified sampling, the size of the sample from each stratum is proportionate to the relative size of that stratum and to the standard deviation of the distribution of the characteristic of interest among all the elements in that stratum.
  • 19. 11-19 Cluster Sampling  The target population is first divided into mutually exclusive and collectively exhaustive subpopulations, or clusters.  Then a random sample of clusters is selected, based on a probability sampling technique such as SRS.  For each selected cluster, either all the elements are included in the sample (one-stage) or a sample of elements is drawn probabilistically (two-stage).  Elements within a cluster should be as heterogeneous as possible, but clusters themselves should be as homogeneous as possible. Ideally, each cluster should be a small-scale representation of the population.  In probability proportionate to size sampling, the clusters are sampled with probability proportional to size. In the second stage, the probability of selecting a sampling unit in a selected cluster varies inversely with the size of the cluster.
  • 20. 11-20 Types of Cluster Sampling Fig. 11.3 Cluster Sampling One-Stage Two-Stage Multistage Sampling Sampling Sampling Simple Cluster Probability Sampling Proportionate to Size Sampling
  • 21. Strengths and Weaknesses of 11-21 Basic Sampling Techniques Table 11.3 Technique Strengths Weaknesses Nonprobability Sampling Least expensive, least Selection bias, sample not Convenience sampling time-consuming, most representative, not recommended for convenient descriptive or causal research Judgmental sampling Low cost, convenient, Does not allow generalization, not time-consuming subjective Quota sampling Sample can be controlled Selection bias, no assurance of for certain characteristics representativeness Snowball sampling Can estimate rare Time-consuming characteristics Probability sampling Easily understood, Difficult to construct sampling Simple random sampling results projectable frame, expensive, lower precision, (SRS) no assurance of representativeness. Systematic sampling Can increase Can decrease representativeness representativeness, easier to implement than SRS, sampling frame not necessary Stratified sampling Include all important Difficult to select relevant subpopulations, stratification variables, not feasible to precision stratify on many variables, expensive Cluster sampling Easy to implement, cost Imprecise, difficult to compute and effective interpret results
  • 22. 11-22 Procedures for Drawing Probability Samples Fig. 11.4 Simple Random Sampling 1. Select a suitable sampling frame 2. Each element is assigned a number from 1 to N (pop. size) 3. Generate n (sample size) different random numbers between 1 and N 4. The numbers generated denote the elements that should be included in the sample
  • 23. Procedures for Drawing 11-23 Probability Samples Fig. 11.4 cont. Systematic Sampling 1. Select a suitable sampling frame 2. Each element is assigned a number from 1 to N (pop. size) 3. Determine the sampling interval i:i=N/n. If i is a fraction, round to the nearest integer 4. Select a random number, r, between 1 and i, as explained in simple random sampling 5. The elements with the following numbers will comprise the systematic random sample: r, r+i,r+2i,r+3i,r+4i,...,r+(n-1)i
  • 24. Procedures for Drawing 11-24 Probability Samples Fig. 11.4 cont. Stratified Sampling 1. Select a suitable frame 2. Select the stratification variable(s) and the number of strata, H 3. Divide the entire population into H strata. Based on the classification variable, each element of the population is assigned to one of the H strata 4. In each stratum, number the elements from 1 to Nh (the pop. size of stratum h) 5. Determine the sample size of each stratum, nh, based on proportionate or disproportionate stratified sampling, where H nh = n h=1 6. In each stratum, select a simple random sample of size nh
  • 25. Procedures for Drawing 11-25 Probability Samples Cluster Fig. 11.4 cont. Sampling 1. Assign a number from 1 to N to each element in the population 2. Divide the population into C clusters of which c will be included in the sample 3. Calculate the sampling interval i, i=N/c (round to nearest integer) 4. Select a random number r between 1 and i, as explained in simple random sampling 5. Identify elements with the following numbers: r,r+i,r+2i,... r+(c-1)i 6. Select the clusters that contain the identified elements 7. Select sampling units within each selected cluster based on SRS or systematic sampling 8. Remove clusters exceeding sampling interval i. Calculate new population size N*, number of clusters to be selected C*= C-1, and new sampling interval i*.
  • 26. 11-26 Procedures for Drawing Probability Samples Fig. 11.4 cont. Cluster Sampling Repeat the process until each of the remaining clusters has a population less than the sampling interval. If b clusters have been selected with certainty, select the remaining c-b clusters according to steps 1 through 7. The fraction of units to be sampled with certainty is the overall sampling fraction = n/N. Thus, for clusters selected with certainty, we would select ns=(n/N)(N1+N2+...+Nb) units. The units selected from clusters selected under PPS sampling will therefore be n*=n- ns.
  • 27. Choosing Nonprobability vs. 11-27 Probability Sampling Table 11.4 cont. Condit ions Favoring t he Use of Fact or s Nonprobabilit y Probabilit y sam pling sam pling Nat ur e of resear ch Explorat ory Conclusive Relat ive m agnit ude of sam pling Nonsam pling Sam pling and nonsam pling errors errors ar e errors are larger larger Variabilit y in t he populat ion Hom ogeneous Het er ogeneous ( low ) ( high) St at ist ical considerat ions Unf avorable Favorable Operat ional considerat ions Favorable Unfavorable
  • 28. 11-28 Tennis' Systematic Sampling Returns a Smash Tennis magazine conducted a mail survey of its subscribers to gain a better understanding of its market. Systematic sampling was employed to select a sample of 1,472 subscribers from the publication's domestic circulation list. If we assume that the subscriber list had 1,472,000 names, the sampling interval would be 1,000 (1,472,000/1,472). A number from 1 to 1,000 was drawn at random. Beginning with that number, every 1,000th subscriber was selected. A brand-new dollar bill was included with the questionnaire as an incentive to respondents. An alert postcard was mailed one week before the survey. A second, follow-up, questionnaire was sent to the whole sample ten days after the initial questionnaire. There were 76 post office returns, so the net effective mailing was 1,396. Six weeks after the first mailing, 778 completed questionnaires were returned, yielding a response rate of 56%.