Statistical Methods 13 Sampling Techniques

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community projectencouraging academics to share statistics support resourcesAll stcp resources are released under a Creative Commons licenceStatistical Methods13 Sampling EllenMarshallUniversityofSheffield

Workshop outlineWe will consider:q Sampling techniques:Ø Non-randomØ ��eld

Sample surveysSubjects included in a study can be selected usingeither:q A non-random sampling approach, orq A random sampling effield

Non-random samplingq Types:Ø Ø Ø Ø Self-selecting samplesConvenience samplesJudgemental samplesQuota sampling: The interviewer has been givenquotas to fill from specified subgroups of thepopulation, e.g. 20 women 20-30 years oldq Can all be very biasedq Not representative of Sheffield

Random samplingRequires:q Random sampling methodq Random number generationq Sampling �eld

Random sampling methodsq Simple Random Sampling: Every member of thepopulation is equally likely to be selected)q Systematic Sampling: Simple Random Samplingin an ordered systematic way, e.g. every 100thname in the yellow pagesq Stratified Sampling: Population divided intodifferent groups from which we sample randomlyq Cluster Sampling: Population is divided into(geographical) clusters - some clusters are chosenat random - within cluster units are chosen withSimple Random effield

Generating random numbersq Best way is to select numbered balls out of abagq Or use random number generatorsØ Many available online, e.g.www.random.org/integersq Or use Excel:Ø E.g. “ randbetween(1,200)” generates arandom number between 1 and ld

Sampling frameq A list of subjects from which a sample ofsubjects is selectedq Examples:Ø Ø Ø Ø MapCensus databaseEmployee databaseTelephone directoryq Need to select subjects at randomq Without a sampling frame, random selectionis iversityofSheffield

Example: simple randomsamplingq Survey ofinsectpopulationliving inwoodlandq Treesnumbered1 to 200q 10 treeschosen effield

Example: Stratified samplingq Foot measurement study of the population of Taiwanq Total sample size of 1,000q Sample for each category selected randomly from thepopulationAgeGroupPopulation (000s)Male0-48305-9100510-14 101615-1992920-29 199330-49 274450 1882Total 10399www.statstutor.ac.ukSampleFemaleTotalMale Female ld

Example: cluster samplingq Survey ofinsectpopulationliving inwoodlandq Squareschosen arandom on thegridq Trees lyingwithin thesquareschosen until10 293949596979899 lenMarshallUniversityofSheffield

Cluster sampling v. stratifiedsamplingq Cluster sampling:Ø CheaperØ Usually not representative of whole populationq Stratified sampling:Ø Sample more representativeØ Good information on heffield

Recapq Random sampling reduces biasq Random sampling requires:Ø A random sampling methodØ Random number generationØ A sampling �eld

Random sampling methods ! Simple Random Sampling: Every member of the population is equally likely to be selected) ! Systematic Sampling: Simple Random Sampling in an ordered systematic way, e.g. every 100th name in the yellow pages ! Stratified Sampling: Population divi

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