Teaching how to sample in research: some things that might help Mark NK Saunders The Surrey Business School www.surrey.ac.uk/sbs A sampling issue? n February 2011 the UK’s Outdoor Media Centre launched its ‘Hall of Fame’ competition to identify the 100 best advertising posters of all time. Working with the History of Advertising Trust, they generated a list of 500 posters. This was reduced to a shortlist of 228 posters by a committee of media and creative experts together with the editor of weekly magazine Campaign. These were displayed on a dedicated website www.outdoorhalloffame.co.uk. Creative agencies, media planners, advertisers, media owners and the general public were invited in an article in Campaign to go to the web site, view the advertising campaigns and cast their votes for what they considered to be the best outdoor posters. Each person was able to cast a total of ten votes, the best advertisements being “chosen after more than 10,000 reader votes”. The Surrey Business School I www.surrey.ac.uk/sbs How might sample selection have affected the results? 5 1 2 8 3 6 7 4 The Surrey Business School www.surrey.ac.uk/sbs Session Plan Sampling is not boring –attracting attention Sampling does not always involve balls and urns –introducing non probability sampling Sampling does not always require a sampling frame Sampling and statistics –misconceptions about probability sampling The sample selected matters –the link with research question The how many question -the issue of sample size The Surrey Business School www.surrey.ac.uk/sbs Attracting attention “A small test of 50 women found almost nine out of 10 of them said their skin looked more luminous after using it, while 72 per cent said fine lines appeared less visible.” The Surrey Business School www.surrey.ac.uk/sbs Introducing non probability sampling (1) The Surrey Business School www.surrey.ac.uk/sbs Introducing non probability sampling (2) Guildford Some implied research questions (students’ suggestions) How do people manage their careers? What is the best way to manage a career? The Surrey Business School www.surrey.ac.uk/sbs Sampling does not always require a sampling frame… Data collected by… Catching commuter train from Guildford to London 2nd class ticket 5 weeks – Monday to Friday Interviewing 5 people on average each journey Unclear regarding… Time of year How selected participants The Surrey Business School www.surrey.ac.uk/sbs The sample selected matters Characteristics of population from which sample selected Catching commuter train (commuters?) Living near Portsmouth – Guildford – London line Working in London Working “9 to 5” What else? The Surrey Business School www.surrey.ac.uk/sbs Sample selected matters (2)… Generalisabiity: the way in which the sample is drawn affects the extent to which the findings can be applied (generalised) or other settings Sample from: Commuters Living south of London Unlikely to be senior managers Working “9 to 5” Unlikely to be employed in manufacturing Research Question People Living anywhere With a career Doing any type of job The Surrey Business School www.surrey.ac.uk/sbs So what have we done so far? Hopefully sampling is not boring –real issue in research Sampling does not always involve balls and urns –introduced non probability sampling and shown in relation to this… …sampling does not always rely on a sampling frame –can’t get a list of passengers easily The sample selected matters… The Surrey Business School www.surrey.ac.uk/sbs Testing understanding… What is the relationship between a population and a sample? 1. The sample is a sub set of the population 2. The sample is the population 3. The sample is always representative of the population 4. The sample is the method by which you select the population www.rwpoll.com 0% 1 0% 0% 2 3 0% 4 15 The Surrey Business School www.surrey.ac.uk/sbs Samples … realities in management research (& the Guildford study) REALITIES Don’t always have sampling frame Sampling frame often restricted Difficult to show sample truly random CONSEQUENCES Population assumed itself to be a random sample from larger population or Inferences (including statistical) confined to actual population from which sample drawn –can’t generalise statistically May not be able to answer certain questions … rephrase the question! The Surrey Business School www.surrey.ac.uk/sbs Unclear how non-probability sample was drawn Sampling Probability Quota Non-probability Purposive Snowball Quota Volunteer Haphazard Self selection Convenience But different nonHomogeneous Typical Extreme probability case purposive case techniques purposive purposive would have Critical case Theoretical Heterogeneous differing purposive purposive implications The Surrey Business School www.surrey.ac.uk/sbs The how many question –what non-probability sample size? REMEMBER –making generalisations to theory not about a population (except with quota samples) Sample size depends upon research question and objectives… what need to find out what will be useful what is credible what can be done within available resources Continue until reach data saturation The Surrey Business School www.surrey.ac.uk/sbs Non-probability sample size ...more detail Author Nature of study Size Bertaux (1981) Qualitative 15 Kvale and Brinkmann (2009) Interviews 5-25 Bernard (2000); Morse (1994) Ethnographic 35 - 36 Creswell (1998); Morse (1994) Grounded theory 20 - 35 Creswell (1998); Morse (1994) Phenomenological 5 - 25 Guest et al. (2006); Kuzel (1992); Considering a Romney, Batchelder and Weller homogenous (1986) population 4 – 12 Kuzel (1992); Creswell (2007) 12 - 30 Considering a heterogeneous population Source: Saunders (2012) The Surrey Business School www.surrey.ac.uk/sbs Non probability sample selection Justifying choices Following a recipe for Quota sampling The Surrey Business School www.surrey.ac.uk/sbs Misconceptions about probability sampling –simple random sampling Selecting a sample using simple random sampling will select the sample evenly from the population If a truly random process is used to select a sample from a population, then the resulting sample will be just like the population, but smaller –a miniature replica of the population. The size of the sample should be proportional to the size of the population. -the ratio of sample size to population size needs to be considered when deciding how large the sample should be. The larger the sample the greater the accuracy The Surrey Business School www.surrey.ac.uk/sbs Misconceptions… -simple random sampling selects evenly Last five UK lottery draws 5 17 32 39 42 40 9 22 31 34 35 43 7 10 12 15 25 42 2 9 27 33 39 40 8 14 15 17 20 47 Look at the pattern of numbers The Surrey Business School www.surrey.ac.uk/sbs Misconceptions about probability sampling –miniature replica Write down your student number. Then answer the questions on the slide for the last digit of your student number 115678 = 8 113459 = 9 etc etc Then, I will show the questions again but this time we will ALL answer them In comparing the answers, we will be able to see realities of random sampling…. (and of questionnaires!) (Idea from Prof Sam Warren) The Surrey Business School www.surrey.ac.uk/sbs I often receive bad service when I am shopping in England (student number ending 1, 4, 5) 27% 1. Strongly agree 2. Agree 3. Neither agree or disagree 4. Disagree 5. Strongly disagree 20% 20% 17% 1 2 17% 3 4 5 The Surrey Business School www.surrey.ac.uk/sbs Results –a miniature replica? Students Number 1,4,5 2,3,8 6,7,0 All (incl. 9) Impact of larger sample size Strongly agree Agree Neither Disagree Strongly disagree 57 63 47 20% 12% 19% 17% 19% 18% 27% 29% 26% 17% 23% 19% 20% 17% 18% 162 17% 18% 28% 20% 17% Variation in number responding Variations in response The Surrey Business School www.surrey.ac.uk/sbs Misconception: Sample size is proportional to population(1) The problem of making statistical inferences from a small probability sample Sample size for 95% certainty with 5% margin of error 350 300 Sample size 250 200 150 100 50 0 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Total Population The Surrey Business School www.surrey.ac.uk/sbs Probability sample and population size (2) 350 300 Sample size 250 Sample size for 95% certainty with 5% margin of error 200 150 100 50 0 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Total Population population 5% 2% 10,000 370 1936 1,000,000 384 2395 10,000,000 384 2400 The Surrey Business School www.surrey.ac.uk/sbs Misconception: larger the sample size greater the accuracy 0.05 0.04 0.03 0.02 0.01 0 0 population 2000 4000 6000 5% 2% 100 79 96 200 132 185 500 217 226 8000 10000 The larger the probability sample size, the more confident can be that represents the true population for a given population size. The Surrey Business School www.surrey.ac.uk/sbs Different probability sampling techniques would have different implications (given knew total population) Sampling Probability Simple random Systematic Stratified random Cluster Multi-stage The Surrey Business School www.surrey.ac.uk/sbs Probability sampling –following a recipe How to do it most text books -just follow the recipe… -use practice exercise-justify choices Key issue is understanding why and implications of what do -discuss case studies... -use multiple choice questions to check http://wps.pearsoned.co.uk/ema_uk_he_saunders_resmethb us_5/111/28550/7309036.cw/index.html The Surrey Business School www.surrey.ac.uk/sbs Probability samples … statistical inference Inferential statistics allow general statements to be made about the population form the sample providing data normally distributed Betting about the probability of being wrong or inferring invalid conclusions “It is a sad fact that if one knows nothing about the probability of occurrence for a particular sample of units for observation, very little of the inferential machinery … can be applied” (Hays 1994: 227) The Surrey Business School www.surrey.ac.uk/sbs But beware of the effect of sample size on practical significance… The larger the sample size the more likely your results are statistically significant Statistically significant result - unlikely to have occurred by chance Practically significant result – practically meaningful in real world Jacob Cohen The Surrey Business School www.surrey.ac.uk/sbs Response rates Most important aspect is sample is representative of ... High response rate can help this Non-responses different from rest of population as did not respond! Non response due to 4 interrelated problems: refusal to respond ineligibility to respond inability to locate respondent respondent located but unable to make contact The Surrey Business School www.surrey.ac.uk/sbs Bibliography (1) American Association for Public Opinion Research (2008) Standard Definitions: Final Dispositions of Case Codes and Outcome Rates for Surveys (5th edition) Lenexa, KA: AAPOR Baruch Y and Holtom BC (2008) Survey response rate levels and trends in organizational research Human Relations 6.8 1139-60. Groves, R.M., Dillman, D.A., Eltinge, J.L. and Little, R.J.A. (eds.) (2001) Survey Non-response. New York: John Wiley. Guest, G., Bunce, A. and Johnson, L. (2006). How many interviews are enough? An experiment with data saturation and validity. Field Methods. Vol. 18, No. 1, pp. 59-82 Lance, C.E. & Vandenberg, R. J. (2009), Statistical and Methodological Myths and Urban Legends. Routledge, London:Taylor & Francis. The Surrey Business School www.surrey.ac.uk/sbs Bibliography (2) Meyer, J.H.F., Shanahan, M.P. & Laugksch, R.C. (2005), “Students’ Conceptions of Research. I: A qualitative and quantitative analysis”, Scandinavian Journal of Educational Research, 49. 3, 225-244. Patton, M.Q. (2002) Qualitative Research and Evaluation Methods. 3rd edn. Thousand Oaks, CA: Sage, Ch.5 Rogelberg SG and Stanton JM (2007) Introduction: Understanding and dealing with organizational survey nonresponse Organizational Research Methods 10.2 195-209 Saunders, M.N.K., Lewis, P. and Thornhill, A. (2012) Research Methods for Business Students. 6th edn. London: FT Prentice Hall, Ch.7. Saunders M.N.K. (2012) ‘Choosing research participants’ in G Symons and C Cassell (eds) The Practice of Qualitative Organizational Research: Core Methods and Current Challenges.London: Sage 37-55 The Surrey Business School www.surrey.ac.uk/sbs