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7
CHAPTER SEVEN



Developing a Sampling Strategy

Topics covered in this chapter:

Sampling considerations in qualitative studies
Sampling considerations in quantitative research surveys




O         ne cannot overemphasize the
importance of developing an appropriate
                                                 designing a sample for qualitative or quan-
                                                 titative research. It also gives examples of
sample for the type of research design           how different strategies have been used to
selected. Although qualitative and quantita-     fit the specific needs and circumstances of
tive research use different approaches for       research projects.
selecting the individuals or groups to be
studied, in all studies it is crucial to plan    SAMPLING
the sampling strategy carefully. Particularly    C O N S I D E R AT I O N S I N
in the case of population-based surveys, a       Q U A L I TAT I V E S T U D I E S
poorly selected sample may harm the cred-
ibility of a study, even if the rest of the      There are no hard and fast rules for sample
study is well executed.                          sizes in qualitative research. As Hudelson
   Qualitative studies generally focus in        points out, “The sample size will depend
depth on a relatively small number of            on the purpose of the research, the specific
cases selected purposefully. By contrast,        research questions to be addressed, what
quantitative methods typically depend on         will be useful, what will have credibility,
larger samples selected randomly. These          and what can be done with available time
tendencies evolve from the underlying pur-       and resources.”2
pose of sampling in the two traditions of           In qualitative sampling, the selection of
inquiry. In quantitative research, the goal      respondents usually continues until the
of sampling is to maximize how represen-         point of redundancy (saturation). This
tative the sample is so as to be able to         means that when new interviews no
generalize findings from the sample to a         longer yield new information and all
larger population. In qualitative inquiry, the   potential sources of variation have been
goal is to select for information richness so    adequately explored, sampling may stop.
as to illuminate the questions under study.1     For most qualitative studies, 10 to 30 inter-
   This chapter discusses the major issues       views and/or 4 to 8 focus groups will suf-
that should be taken into account when           fice. Table 7.1 summarizes a number of


                                                                                A Practical Guide for Researchers and Activists   105
CHAPTER SEVEN



                                                     TABLE 7.1 TYPES OF SAMPLING STRATEGIES FOR QUALITATIVE STUDIES

                                Type of Sampling                        Purpose                                     Example

                                Intensity sampling                      To provide rich information from a          Interviewing survivors of date rape
                                                                        few select cases that manifest the          to learn more about how coerced
                                                                        phenomenon intensely (but are not           sex affects women’s sexuality.
                                                                        extreme cases).

                                Deviant case sampling                   To learn from highly unusual mani-          Interviewing men who do not beat
                                                                        festations of the phenomenon in             their wives in a culture where wife
                                                                        question.                                   abuse is culturally accepted.

                                Stratified purposeful sampling          To illustrate characteristics of particu-   Interviewing different types of serv-
                                                                        lar subgroups of interest; to facilitate    ice providers (police, social work-
                                                                        comparisons.                                ers, doctors, clergy) to compare
                                                                                                                    their attitudes toward and treatment
                                                                                                                    of abuse victims.

                                Snowball or chain sampling (Locate      To facilitate the identification of         Finding commercial sex workers to
                                one or two key individuals, and         hard-to-find cases.                         interview about experiences of
                                then ask them to name other likely                                                  childhood sexual abuse by getting
                                informants.)                                                                        cases referred through friendship
                                                                                                                    networks.

                                Maximum variation sampling              To document diverse variations; can         Researching variations in norms
                                (Purposely select a wide range of       help to identify common patterns            about the acceptability of wife beat-
                                variation on dimensions of interest.)   that cut across variations.                 ing by conducting focus groups
                                                                                                                    among different sub groups: young
                                                                                                                    urban women, old urban women,
                                                                                                                    young rural men, old rural men,
                                                                                                                    women who have been abused,
                                                                                                                    women who have not experienced
                                                                                                                    abuse.

                                Convenience sampling (Select who-       To save time, money, and effort.            Forming focus groups based on
                                ever is easiest, closest, etc.)         Information collected generally has         who is available that day at the
                                                                        very low credibility.                       local community center, rather than
                                                                                                                    according to clear criteria.

                                Criterion sampling                      To investigate in depth a particular        Specifically interviewing only
                                                                        “type” of case; identify all sources        abused women who have left their
                                                                        of variation.                               partners within the last year in order
                                                                                                                    to better understand the variety of
                                                                                                                    factors that spur women to leave.
                                (From Patton, 1990.3)



                              different approaches to qualitative sampling.                     their intimate relationships. They wanted
                                 In qualitative research, the sampling                          to understand the beliefs and attitudes that
                              strategy should be selected to help eluci-                        existed in Nicaraguan culture that sup-
                              date the question at hand. For example,                           ported violent behavior toward women.
                              researchers with the Nicaraguan organiza-                         More importantly, they wanted to know if
                              tion Puntos de Encuentro embarked on a                            there were any “benefits” of nonviolence
                              project to collect information useful for                         that could be promoted to encourage men
                              designing a national media campaign that                          to reconsider their behavior (Box 5.6).
                              called on men to renounce violence in                                Rather than concentrating on collecting


106   Researching Violence Against Women
D E V E L O P I N G A S A M P L I N G S T R AT E G Y


information on the norms and attitudes of
“typical” Nicaraguan men, the researchers
decided to use “deviant case” sampling and
concentrate on interviewing men who had
already had a reputation for being nonvio-
lent and renouncing machismo.4 They were
interested in finding out from these men
what benefits, if any, they perceived from
this choice, and what life-course events,
influences, or individuals pushed them in
this direction. The goal was to investigate
what aspirations and life experiences help
create “healthy” intimate partnerships. The
findings were used to design an informa-
tion campaign aimed at recruiting more
men to a nonviolent lifestyle.

SAMPLING
C O N S I D E R AT I O N S




                                                                                                                                   PHOTO BY HAFM JANSEN
I N Q U A N T I TAT I V E
RESEARCH SURVEYS

In contrast to qualitative research, which
generally uses nonprobability or “purpo-
sive” sampling, quantitative research relies    violence, the study results          A probability or representative
on random sampling of informants. A             would be biased towards              sample is a group of
probability or “representative” sample is a     women who work at home.              informants selected from the
group of informants selected from the pop-      One way to reduce this partic-       population in such a way that
ulation in such a way that the results may      ular bias would be to return to the results may be generalized
be generalized to the whole population.         homes at night or on week-           to the whole population.
   When a sample is referred to as ran-         ends to increase the likelihood
dom, it means that specific techniques          of reaching all women.
have been used to ensure that every indi-          The way in which the sample is chosen
vidual who meets certain eligibility criteria   affects its generalizability, or the extent to
has an equal probability of being included      which the situation found among a particu-
in the study. Failure to adhere to these        lar sample at a particular time can be
techniques can introduce error or bias          applied more generally. There are many
into the sample, which may lessen the           techniques for sampling, each with its own
validity of the study. For example, if a        tradeoffs in terms of cost,
household survey on violence only con-          effort, and potential to gener-      When a sample is referred
ducted interviews during the day, then the      ate statistically significant        to as random, it means that
respondents most likely to be included in       results. Some strategies, such       specific statistical techniques
the study would be women who work at            as simple random sampling,           have been used to ensure that
home, and women who worked outside              may not be feasible where            every individual who meets
the home would be less likely to be inter-      there is little information avail-   certain eligibility criteria has
viewed. Since women working outside the         able on the population under         an equal probability of being
home may have different experiences with        study. The following is a brief      included in the study.


                                                                                A Practical Guide for Researchers and Activists   107
CHAPTER SEVEN


                                                     description of the more common sampling       selection of any one individual in no way
                                                     techniques used.                              influences the selection of any other. The
                                                        Many people underestimate the chal-        word “simple” does not mean that this
                                                     lenge of obtaining a well-designed sample.    method is any easier, but rather that steps
                                                     Mistakes are often made due to confusion      are taken to ensure that only chance influ-
                                                     over the meaning of the term random           ences the selection of respondents.
                                                     selection. A random selection does not        Random selection can be achieved using a
                                                     mean that participants are simply selected    lottery method, random number tables
                                                     in no particular order. In fact, the tech-    (found in many statistical books), or a
                                                     niques for obtaining a truly random sample    computer program such as Epi Info. To
                                                     are quite complex, and inexperienced          avoid bias, it is very important to include
                                                     researchers should consult an expert in       in the sampling frame only individuals who
                                                     sampling before proceeding. A well            are eligible to be interviewed by criteria
                                                     thought-out and tested questionnaire used     such as age, sex, or residence. By the same
                                                     on a poorly designed sample will still ren-   token, if certain individuals are left off the
                                                     der meaningless results.                      original list due to an outdated census that
                                                        Random samples are often confused          does not include individuals who have
                                                     with convenience or quota samples. A          recently moved into the population area,
                                                     convenience sample is when informants         then these omissions could bias the results,
                                                     are selected according to who is available,   particularly if migration is the result of
                                                     in no particular order. In a quota sample     crises such as war, natural disasters, or eco-
                                                     a fixed number of informants of a certain     nomic collapse. In these cases, you will
                                                     type are selected. Neither strategy will      need to update the sampling list.
                                                     result in a random sample appropriate for
                                                     survey research.                              Systematic sampling
                                                                                                   In random sampling, each individual or
                                                     Simple random sampling                        household is chosen randomly. In contrast,
                                                     This sampling technique involves selection    systematic sampling starts at a random
                                                     at random from a list of the population,      point in the sampling frame, and every nth
                                                     known as the sampling frame. If properly      person is chosen. For example, if you
                                                     conducted, it ensures that each person has    want a sample of 100 women from a sam-
                                                     an equal and independent chance of            pling frame of 5,000 women, then you
                                                     being included in the sample.                 would randomly select a number between
                                                     Independence in this case means that the      one and 50 to start off the sequence, and
                                                                                                   then select every fiftieth woman thereafter.
                                                                                                   Both random and systematic sampling
                                                                                                   require a full list of the population in
                                                                                                   order to make a selection. It is also impor-
                                                                                                   tant to know how the list itself was made,
                                                                                                   and whether individuals are placed ran-
                                                                                                   domly or in some kind of order. If individ-
                                                                                                   uals from the same household or with
PHOTO BY HAFM JANSEN




                                                                                                   certain characteristics are grouped
                                                                                                   together, this may result in a biased sam-
                                                                                                   ple in which individuals with these charac-
                                                                                                   teristics are either overrepresented or
                                                                                                   underrepresented.


                       108   Researching Violence Against Women
D E V E L O P I N G A S A M P L I N G S T R AT E G Y


Stratified sampling
Stratified sampling may be used together
with either simple random sampling or sys-
tematic sampling. This ensures that the
sample is as close as possible to the study
population with regard to certain character-
istics, such as age, sex, ethnicity, or socio-
economic status. In this case, the study
population is classified into strata, or sub-
groups, and then individuals are randomly




                                                                                                                                         PHOTO BY HAFM JANSEN
selected from each stratum. Because strati-
fication involves additional effort, it only
makes sense if the characteristic being
stratified is related to the outcome under
study. For the purpose of analysis it is eas-
ier if the number of individuals selected        clusters (such as villages or neighbor-                  A street map used for
from each stratum is proportional to their       hoods). Then a random sample of these                    locating households in
                                                                                                          the Japan WHO study.
actual distribution in the population. (See      clusters is drawn for the survey. This is the
Box 7.1 on self-weighting samples.) For          first stage of sampling. The second stage
example, in a sample stratified according to     may involve either selecting all of the sam-
urban/rural residence, the proportion of         pling units (respondents, households) in
rural women in the sample would be the           the selected clusters, or selecting a group
same as the proportion of rural women in         of sampling units from within the clusters.
the study population.                            Sometimes more than two stages are
    A weighted stratified sample may be          required. Thus, one might randomly
preferable when there are some groups            choose districts within a province, and
which are proportionately small in the           then randomly select villages from the
population, but which are relevant for the       selected districts as the second stage.
purpose of the study, such as individuals        Individual respondents would be selected
from a certain geographical region or eth-       from the clusters as a third stage. At each
nic group. Ensuring that these groups are        stage, simple random, systematic, or strati-
adequately represented might require an          fied techniques might be used. It is advis-
inordinately large sample size using simple      able to consult a statistician if you are
random sampling techniques. In this case,        considering a multistage sampling scheme.
it may be appropriate to oversample, or to           The advantage of multistage sampling is
select a disproportionately large number of      that a sampling frame (e.g., a list of house-
respondents from this stratum. This results      holds) is only needed for the selected clus-
in a weighted sample that will have to be        ters (villages) rather than for the whole
taken into account in the analysis process.      study population. Also, the logistics will be
                                                 easier because the sample is restricted to
Multistage and cluster sampling                  the selected clusters and need not cover
Multistage sampling is often used for            the whole study area. An example of a
drawing samples from very large popula-          multistage sampling strategy in Peru is
tions covering a large geographical area. It     described in Box 7.3.
involves selecting the sample in stages, or          The disadvantages of multistage sam-
taking samples from samples. The popula-         pling are that the sample size needs to be
tion is first divided into naturally occurring   substantially larger than if the sample was


                                                                                 A Practical Guide for Researchers and Activists   109
CHAPTER SEVEN



                 BOX 7.1 SELF-WEIGHTING IN CLUSTER SAMPLES                                    I   How sure do you want to be of your
                                                                                                  conclusions? Larger sample size gener-
 The way in which the sample is chosen greatly influences the usefulness of the                   ally increases the precision of the results,
 resulting estimates. Suppose that there is a district with only two villages:
                                                                                                  or the confidence with which one can
 I    Village A has 4,000 women, of which 800 (20 percent) have been abused.
                                                                                                  say that they represent a reliable meas-
 I    Village B has 800 women, of which 40 (5 percent) have been abused.
                                                                                                  ure of the phenomena under study.
 The true prevalence of abuse in this district would be calculated as follows:
                                                                                              I   What are the characteristics of the
        Total cases of violence   = (800 + 40) X 100            =     17.5 percent
                                                                                                  study population? The more variability
        Total number of women            (4000 + 800)
                                                                                                  there is in the population, the larger the
                                                                                                  sample size needed.
 However, if we decided to determine the prevalence of abuse in this district
 based on a random sample of 100 women from each village, we would find
 the following:                                                                               I   How common is the phenomenon
 I    20 out of 100 women in Village A reporting abuse.                                           under study? If any of the conditions
 I    5 out of 100 women in Village B reporting abuse.                                            you want to measure in your study are
 Combining these two figures we would find that 25 out of the 200 women inter-                    very rare, for example, infant mortality
 viewed were abused, which would give us a prevalence of 12.5 percent.                            or maternal mortality, then you will
                                                                                                  need a very large sample size.
 What has happened here?
 Our sampling procedure led us to an underestimated prevalence because the num-
                                                                                              I   What is the purpose of the research?
 ber of informants selected from each village was not in proportion to the relative
 size of each village. Assuming that we knew the relative sizes of the villages, we               The sample size calculation will also
 could perform a weighted analysis where the results from Village A would count                   depend on whether you simply want to
 five times as much as those from Village B. However, it is usually preferable to                 measure the prevalence of a condition
 obtain a self-weighting sample. One way to do this would be to select five times
 more respondents from Village A than Village B. Another approach is to select the
                                                                                                  in a population or whether you want to
 villages with probability proportional to size. This means that if you have a list of vil-       measure an expected difference
 lages, a large village like Village A would be five times more likely to be selected             between two groups. Programs such as
 for the sample than a village the size of Village B. After the villages were selected,           Epi Info contain two different formulas
 you could then to select an equal number of respondents from each village. (For an
 example of how a self-weighting sample was obtained in Peru, see Box 7.3.)                       for these two different approaches.

 (From Morison, 2000.5)                                                                       I   What kind of statistical analysis will
                                                                                                  you use? This underscores the need to
                                                                                                  consider how you are going to analyze
                               selected by simple random sampling. Also,                          your data from the very beginning. The
                               it can be more complicated to get a self-                          sample size must be large enough to
                               weighting sample. Another difficulty with                          provide for desired levels of accuracy in
                               multistage sampling can be defining clus-                          estimates of prevalence, and to test for
                               ters if the study area is, for example, a                          the significance of differences between
                               large urban area. Sometimes these have                             different variables.
                               already been defined for previous censuses
                               or surveys, but otherwise they have to be                      I   What kind of sampling strategy will
                               created from a map or based on some                                be used? Commonly used sample size
                               other criteria such as school or health cen-                       formulae and computer packages
                               ter catchment areas.                                               assume you are using simple random
                                                                                                  sampling. If you plan to use multistage
                               How large a sample do you need?                                    or cluster sampling, you may need to
                               The ideal sample size for a survey depends                         increase your sample size to achieve the
                               on several factors:                                                precision you require. Consider asking a


110   Researching Violence Against Women
D E V E L O P I N G A S A M P L I N G S T R AT E G Y


   statistician for help in deciding by how                 BOX 7.2 POPULATION SURVEY USING RANDOM SAMPLING
   much the sample size needs to be                                  (STATCALC SAMPLE SIZE AND POWER)
   increased.
                                                   Population Size        100,000         10,000        10,000         10,000
   It is better to collect excellent data from     Expected Frequency          30%            30%            20%           30%
fewer respondents than to collect data of          Worst Acceptable
                                                   Frequency                   25%            25%            15%           28%
dubious validity and reliability from many
respondents. Statistical computer packages
                                                   Confidence                Sample         Sample         Sample        Sample
or mathematical formulas can be used to            Level                      Size           Size           Size          Size
determine sample size for a study. Box 7.2
                                                   80%                         138            136            104            794
presents a table produced by Epi Info’s
                                                   90%                         227            222            170         1,244
STATCALC program for ideal sample size
                                                   95%                         322            313            270         1,678
calculations. This program is available
online at http://www.cdc.gov/epiinfo.              99%                         554            528            407         2,583
   If your proposed analysis calls for study-      99.9%                       901            834            648         3,624
ing particular subgroups of your sample,           99.99%                    1,256          1,128            883         4,428
the sample size will need to be expanded
accordingly. For example, to determine the
prevalence of violence, you may need a           sample size calcula-      How large a sample?
sample of only 300 women. But if you             tions. It should also
want to know whether the prevalence of           be noted that the         This is one of the most common ques-
violence varies by age, education, or socio-     sample size will          tions asked of statisticians. A frequent
economic group, then you will need a             need to be increased but erroneous answer is “as large as
sample size sufficiently large to allow for      if a multistage sam-      possible” when it instead should be “as
comparisons among these groups.                  ple is being used.        small as possible.”
   The initial calculation was made based        Because these calcu-      It is also important to emphasize that the
on a simple random sample from a study           lations can be quite      amount of information that can be
population of 100,000 women, where it            complex, inexperi-        gained from a sample depends on its
was assumed that approximately 30 per-           enced researchers         absolute size, not upon the sampling
cent of women have experienced violence          are urged to consult      fraction, or its size as a proportion of
and that a 10 percent margin of error            with someone who          the population size. It is actually true
would be acceptable (5 percent above and         is knowledgeable in       that 99 out of one million tells you as
5 percent below). If these assumptions are       survey sampling           much about the 1 million as 99 out of
actually true, the table indicates that with a   techniques.               one thousand tells you about the one
sample size of 322 women, one would                 To explore the         thousand.
obtain a 95 percent confidence interval for      health consequences
the true prevalence of 25 percent and 35         of violence with          (From Persson and Wall, 2003.6)
percent. Note, however, that if the esti-        greater precision, and
mates used for sample size calculations are      to compare the occurrence of violence in
very inaccurate then the required precision      different sites within each country, the
may not be obtained.                             WHO VAW study uses a multistage sam-
   The table also shows that differences in      pling strategy aiming for 3,000 interviews
the size of the study population do not          in two sites; 1,500 in the capital city and
greatly influence sample size, whereas           1,500 in a province. However, to end up
changes in the expected frequency and            with 1,500 completed interviews, it is usu-
particularly the level of precision that is      ally necessary to increase the estimated
needed can have an enormous effect on            sample size by 10-20 percent to account


                                                                                     A Practical Guide for Researchers and Activists   111

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Mandatory reading

  • 1. PHOTO BY HAFM JANSEN 7
  • 2. CHAPTER SEVEN Developing a Sampling Strategy Topics covered in this chapter: Sampling considerations in qualitative studies Sampling considerations in quantitative research surveys O ne cannot overemphasize the importance of developing an appropriate designing a sample for qualitative or quan- titative research. It also gives examples of sample for the type of research design how different strategies have been used to selected. Although qualitative and quantita- fit the specific needs and circumstances of tive research use different approaches for research projects. selecting the individuals or groups to be studied, in all studies it is crucial to plan SAMPLING the sampling strategy carefully. Particularly C O N S I D E R AT I O N S I N in the case of population-based surveys, a Q U A L I TAT I V E S T U D I E S poorly selected sample may harm the cred- ibility of a study, even if the rest of the There are no hard and fast rules for sample study is well executed. sizes in qualitative research. As Hudelson Qualitative studies generally focus in points out, “The sample size will depend depth on a relatively small number of on the purpose of the research, the specific cases selected purposefully. By contrast, research questions to be addressed, what quantitative methods typically depend on will be useful, what will have credibility, larger samples selected randomly. These and what can be done with available time tendencies evolve from the underlying pur- and resources.”2 pose of sampling in the two traditions of In qualitative sampling, the selection of inquiry. In quantitative research, the goal respondents usually continues until the of sampling is to maximize how represen- point of redundancy (saturation). This tative the sample is so as to be able to means that when new interviews no generalize findings from the sample to a longer yield new information and all larger population. In qualitative inquiry, the potential sources of variation have been goal is to select for information richness so adequately explored, sampling may stop. as to illuminate the questions under study.1 For most qualitative studies, 10 to 30 inter- This chapter discusses the major issues views and/or 4 to 8 focus groups will suf- that should be taken into account when fice. Table 7.1 summarizes a number of A Practical Guide for Researchers and Activists 105
  • 3. CHAPTER SEVEN TABLE 7.1 TYPES OF SAMPLING STRATEGIES FOR QUALITATIVE STUDIES Type of Sampling Purpose Example Intensity sampling To provide rich information from a Interviewing survivors of date rape few select cases that manifest the to learn more about how coerced phenomenon intensely (but are not sex affects women’s sexuality. extreme cases). Deviant case sampling To learn from highly unusual mani- Interviewing men who do not beat festations of the phenomenon in their wives in a culture where wife question. abuse is culturally accepted. Stratified purposeful sampling To illustrate characteristics of particu- Interviewing different types of serv- lar subgroups of interest; to facilitate ice providers (police, social work- comparisons. ers, doctors, clergy) to compare their attitudes toward and treatment of abuse victims. Snowball or chain sampling (Locate To facilitate the identification of Finding commercial sex workers to one or two key individuals, and hard-to-find cases. interview about experiences of then ask them to name other likely childhood sexual abuse by getting informants.) cases referred through friendship networks. Maximum variation sampling To document diverse variations; can Researching variations in norms (Purposely select a wide range of help to identify common patterns about the acceptability of wife beat- variation on dimensions of interest.) that cut across variations. ing by conducting focus groups among different sub groups: young urban women, old urban women, young rural men, old rural men, women who have been abused, women who have not experienced abuse. Convenience sampling (Select who- To save time, money, and effort. Forming focus groups based on ever is easiest, closest, etc.) Information collected generally has who is available that day at the very low credibility. local community center, rather than according to clear criteria. Criterion sampling To investigate in depth a particular Specifically interviewing only “type” of case; identify all sources abused women who have left their of variation. partners within the last year in order to better understand the variety of factors that spur women to leave. (From Patton, 1990.3) different approaches to qualitative sampling. their intimate relationships. They wanted In qualitative research, the sampling to understand the beliefs and attitudes that strategy should be selected to help eluci- existed in Nicaraguan culture that sup- date the question at hand. For example, ported violent behavior toward women. researchers with the Nicaraguan organiza- More importantly, they wanted to know if tion Puntos de Encuentro embarked on a there were any “benefits” of nonviolence project to collect information useful for that could be promoted to encourage men designing a national media campaign that to reconsider their behavior (Box 5.6). called on men to renounce violence in Rather than concentrating on collecting 106 Researching Violence Against Women
  • 4. D E V E L O P I N G A S A M P L I N G S T R AT E G Y information on the norms and attitudes of “typical” Nicaraguan men, the researchers decided to use “deviant case” sampling and concentrate on interviewing men who had already had a reputation for being nonvio- lent and renouncing machismo.4 They were interested in finding out from these men what benefits, if any, they perceived from this choice, and what life-course events, influences, or individuals pushed them in this direction. The goal was to investigate what aspirations and life experiences help create “healthy” intimate partnerships. The findings were used to design an informa- tion campaign aimed at recruiting more men to a nonviolent lifestyle. SAMPLING C O N S I D E R AT I O N S PHOTO BY HAFM JANSEN I N Q U A N T I TAT I V E RESEARCH SURVEYS In contrast to qualitative research, which generally uses nonprobability or “purpo- sive” sampling, quantitative research relies violence, the study results A probability or representative on random sampling of informants. A would be biased towards sample is a group of probability or “representative” sample is a women who work at home. informants selected from the group of informants selected from the pop- One way to reduce this partic- population in such a way that ulation in such a way that the results may ular bias would be to return to the results may be generalized be generalized to the whole population. homes at night or on week- to the whole population. When a sample is referred to as ran- ends to increase the likelihood dom, it means that specific techniques of reaching all women. have been used to ensure that every indi- The way in which the sample is chosen vidual who meets certain eligibility criteria affects its generalizability, or the extent to has an equal probability of being included which the situation found among a particu- in the study. Failure to adhere to these lar sample at a particular time can be techniques can introduce error or bias applied more generally. There are many into the sample, which may lessen the techniques for sampling, each with its own validity of the study. For example, if a tradeoffs in terms of cost, household survey on violence only con- effort, and potential to gener- When a sample is referred ducted interviews during the day, then the ate statistically significant to as random, it means that respondents most likely to be included in results. Some strategies, such specific statistical techniques the study would be women who work at as simple random sampling, have been used to ensure that home, and women who worked outside may not be feasible where every individual who meets the home would be less likely to be inter- there is little information avail- certain eligibility criteria has viewed. Since women working outside the able on the population under an equal probability of being home may have different experiences with study. The following is a brief included in the study. A Practical Guide for Researchers and Activists 107
  • 5. CHAPTER SEVEN description of the more common sampling selection of any one individual in no way techniques used. influences the selection of any other. The Many people underestimate the chal- word “simple” does not mean that this lenge of obtaining a well-designed sample. method is any easier, but rather that steps Mistakes are often made due to confusion are taken to ensure that only chance influ- over the meaning of the term random ences the selection of respondents. selection. A random selection does not Random selection can be achieved using a mean that participants are simply selected lottery method, random number tables in no particular order. In fact, the tech- (found in many statistical books), or a niques for obtaining a truly random sample computer program such as Epi Info. To are quite complex, and inexperienced avoid bias, it is very important to include researchers should consult an expert in in the sampling frame only individuals who sampling before proceeding. A well are eligible to be interviewed by criteria thought-out and tested questionnaire used such as age, sex, or residence. By the same on a poorly designed sample will still ren- token, if certain individuals are left off the der meaningless results. original list due to an outdated census that Random samples are often confused does not include individuals who have with convenience or quota samples. A recently moved into the population area, convenience sample is when informants then these omissions could bias the results, are selected according to who is available, particularly if migration is the result of in no particular order. In a quota sample crises such as war, natural disasters, or eco- a fixed number of informants of a certain nomic collapse. In these cases, you will type are selected. Neither strategy will need to update the sampling list. result in a random sample appropriate for survey research. Systematic sampling In random sampling, each individual or Simple random sampling household is chosen randomly. In contrast, This sampling technique involves selection systematic sampling starts at a random at random from a list of the population, point in the sampling frame, and every nth known as the sampling frame. If properly person is chosen. For example, if you conducted, it ensures that each person has want a sample of 100 women from a sam- an equal and independent chance of pling frame of 5,000 women, then you being included in the sample. would randomly select a number between Independence in this case means that the one and 50 to start off the sequence, and then select every fiftieth woman thereafter. Both random and systematic sampling require a full list of the population in order to make a selection. It is also impor- tant to know how the list itself was made, and whether individuals are placed ran- domly or in some kind of order. If individ- uals from the same household or with PHOTO BY HAFM JANSEN certain characteristics are grouped together, this may result in a biased sam- ple in which individuals with these charac- teristics are either overrepresented or underrepresented. 108 Researching Violence Against Women
  • 6. D E V E L O P I N G A S A M P L I N G S T R AT E G Y Stratified sampling Stratified sampling may be used together with either simple random sampling or sys- tematic sampling. This ensures that the sample is as close as possible to the study population with regard to certain character- istics, such as age, sex, ethnicity, or socio- economic status. In this case, the study population is classified into strata, or sub- groups, and then individuals are randomly PHOTO BY HAFM JANSEN selected from each stratum. Because strati- fication involves additional effort, it only makes sense if the characteristic being stratified is related to the outcome under study. For the purpose of analysis it is eas- ier if the number of individuals selected clusters (such as villages or neighbor- A street map used for from each stratum is proportional to their hoods). Then a random sample of these locating households in the Japan WHO study. actual distribution in the population. (See clusters is drawn for the survey. This is the Box 7.1 on self-weighting samples.) For first stage of sampling. The second stage example, in a sample stratified according to may involve either selecting all of the sam- urban/rural residence, the proportion of pling units (respondents, households) in rural women in the sample would be the the selected clusters, or selecting a group same as the proportion of rural women in of sampling units from within the clusters. the study population. Sometimes more than two stages are A weighted stratified sample may be required. Thus, one might randomly preferable when there are some groups choose districts within a province, and which are proportionately small in the then randomly select villages from the population, but which are relevant for the selected districts as the second stage. purpose of the study, such as individuals Individual respondents would be selected from a certain geographical region or eth- from the clusters as a third stage. At each nic group. Ensuring that these groups are stage, simple random, systematic, or strati- adequately represented might require an fied techniques might be used. It is advis- inordinately large sample size using simple able to consult a statistician if you are random sampling techniques. In this case, considering a multistage sampling scheme. it may be appropriate to oversample, or to The advantage of multistage sampling is select a disproportionately large number of that a sampling frame (e.g., a list of house- respondents from this stratum. This results holds) is only needed for the selected clus- in a weighted sample that will have to be ters (villages) rather than for the whole taken into account in the analysis process. study population. Also, the logistics will be easier because the sample is restricted to Multistage and cluster sampling the selected clusters and need not cover Multistage sampling is often used for the whole study area. An example of a drawing samples from very large popula- multistage sampling strategy in Peru is tions covering a large geographical area. It described in Box 7.3. involves selecting the sample in stages, or The disadvantages of multistage sam- taking samples from samples. The popula- pling are that the sample size needs to be tion is first divided into naturally occurring substantially larger than if the sample was A Practical Guide for Researchers and Activists 109
  • 7. CHAPTER SEVEN BOX 7.1 SELF-WEIGHTING IN CLUSTER SAMPLES I How sure do you want to be of your conclusions? Larger sample size gener- The way in which the sample is chosen greatly influences the usefulness of the ally increases the precision of the results, resulting estimates. Suppose that there is a district with only two villages: or the confidence with which one can I Village A has 4,000 women, of which 800 (20 percent) have been abused. say that they represent a reliable meas- I Village B has 800 women, of which 40 (5 percent) have been abused. ure of the phenomena under study. The true prevalence of abuse in this district would be calculated as follows: I What are the characteristics of the Total cases of violence = (800 + 40) X 100 = 17.5 percent study population? The more variability Total number of women (4000 + 800) there is in the population, the larger the sample size needed. However, if we decided to determine the prevalence of abuse in this district based on a random sample of 100 women from each village, we would find the following: I How common is the phenomenon I 20 out of 100 women in Village A reporting abuse. under study? If any of the conditions I 5 out of 100 women in Village B reporting abuse. you want to measure in your study are Combining these two figures we would find that 25 out of the 200 women inter- very rare, for example, infant mortality viewed were abused, which would give us a prevalence of 12.5 percent. or maternal mortality, then you will need a very large sample size. What has happened here? Our sampling procedure led us to an underestimated prevalence because the num- I What is the purpose of the research? ber of informants selected from each village was not in proportion to the relative size of each village. Assuming that we knew the relative sizes of the villages, we The sample size calculation will also could perform a weighted analysis where the results from Village A would count depend on whether you simply want to five times as much as those from Village B. However, it is usually preferable to measure the prevalence of a condition obtain a self-weighting sample. One way to do this would be to select five times more respondents from Village A than Village B. Another approach is to select the in a population or whether you want to villages with probability proportional to size. This means that if you have a list of vil- measure an expected difference lages, a large village like Village A would be five times more likely to be selected between two groups. Programs such as for the sample than a village the size of Village B. After the villages were selected, Epi Info contain two different formulas you could then to select an equal number of respondents from each village. (For an example of how a self-weighting sample was obtained in Peru, see Box 7.3.) for these two different approaches. (From Morison, 2000.5) I What kind of statistical analysis will you use? This underscores the need to consider how you are going to analyze selected by simple random sampling. Also, your data from the very beginning. The it can be more complicated to get a self- sample size must be large enough to weighting sample. Another difficulty with provide for desired levels of accuracy in multistage sampling can be defining clus- estimates of prevalence, and to test for ters if the study area is, for example, a the significance of differences between large urban area. Sometimes these have different variables. already been defined for previous censuses or surveys, but otherwise they have to be I What kind of sampling strategy will created from a map or based on some be used? Commonly used sample size other criteria such as school or health cen- formulae and computer packages ter catchment areas. assume you are using simple random sampling. If you plan to use multistage How large a sample do you need? or cluster sampling, you may need to The ideal sample size for a survey depends increase your sample size to achieve the on several factors: precision you require. Consider asking a 110 Researching Violence Against Women
  • 8. D E V E L O P I N G A S A M P L I N G S T R AT E G Y statistician for help in deciding by how BOX 7.2 POPULATION SURVEY USING RANDOM SAMPLING much the sample size needs to be (STATCALC SAMPLE SIZE AND POWER) increased. Population Size 100,000 10,000 10,000 10,000 It is better to collect excellent data from Expected Frequency 30% 30% 20% 30% fewer respondents than to collect data of Worst Acceptable Frequency 25% 25% 15% 28% dubious validity and reliability from many respondents. Statistical computer packages Confidence Sample Sample Sample Sample or mathematical formulas can be used to Level Size Size Size Size determine sample size for a study. Box 7.2 80% 138 136 104 794 presents a table produced by Epi Info’s 90% 227 222 170 1,244 STATCALC program for ideal sample size 95% 322 313 270 1,678 calculations. This program is available online at http://www.cdc.gov/epiinfo. 99% 554 528 407 2,583 If your proposed analysis calls for study- 99.9% 901 834 648 3,624 ing particular subgroups of your sample, 99.99% 1,256 1,128 883 4,428 the sample size will need to be expanded accordingly. For example, to determine the prevalence of violence, you may need a sample size calcula- How large a sample? sample of only 300 women. But if you tions. It should also want to know whether the prevalence of be noted that the This is one of the most common ques- violence varies by age, education, or socio- sample size will tions asked of statisticians. A frequent economic group, then you will need a need to be increased but erroneous answer is “as large as sample size sufficiently large to allow for if a multistage sam- possible” when it instead should be “as comparisons among these groups. ple is being used. small as possible.” The initial calculation was made based Because these calcu- It is also important to emphasize that the on a simple random sample from a study lations can be quite amount of information that can be population of 100,000 women, where it complex, inexperi- gained from a sample depends on its was assumed that approximately 30 per- enced researchers absolute size, not upon the sampling cent of women have experienced violence are urged to consult fraction, or its size as a proportion of and that a 10 percent margin of error with someone who the population size. It is actually true would be acceptable (5 percent above and is knowledgeable in that 99 out of one million tells you as 5 percent below). If these assumptions are survey sampling much about the 1 million as 99 out of actually true, the table indicates that with a techniques. one thousand tells you about the one sample size of 322 women, one would To explore the thousand. obtain a 95 percent confidence interval for health consequences the true prevalence of 25 percent and 35 of violence with (From Persson and Wall, 2003.6) percent. Note, however, that if the esti- greater precision, and mates used for sample size calculations are to compare the occurrence of violence in very inaccurate then the required precision different sites within each country, the may not be obtained. WHO VAW study uses a multistage sam- The table also shows that differences in pling strategy aiming for 3,000 interviews the size of the study population do not in two sites; 1,500 in the capital city and greatly influence sample size, whereas 1,500 in a province. However, to end up changes in the expected frequency and with 1,500 completed interviews, it is usu- particularly the level of precision that is ally necessary to increase the estimated needed can have an enormous effect on sample size by 10-20 percent to account A Practical Guide for Researchers and Activists 111