Sampling Human Pop1

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    Biostatistics

    Bio life Statistics- from the Latin word status

    meaning manner of standing or position

    Science which deals with the collectionorganization, analysis and interpretationof data

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    Biostatistics

    Biostatistics- the scientific disciplineconcerned with the application ofstatistical methods to problems inbiology or medicine

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    STATISTICS in singular sense:- is a body of methods in analyzing data

    BRANCHES OF STATISTIC- Descriptive Statistics- Inferential Statistics

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    Branches of Statistics

    Descriptive Statistics

    a set of statistics techniques whose mainobjective is to summarize and presentdata in a form that will make them easierto analyze and interpret

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    Branches of StatisticsInferential Statistics

    A branch of statistics concerned withmaking estimates, predictions,generalizations and conclusions abouta target population based oninformation from a sample

    1. Estimation Point estimate Interval estimate lower limit, higher

    limit2. H othesis testin

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    Processes Involved inInference

    1. Statement of an objective2. Data collection

    -measurement-methods of data collection-sampling

    3.Analysis and interpretation4.drawing inferences regarding the

    population

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    Statistics in Plural sense:-is a set of data,mass of information

    USES of Statistics: P.H. Statistics- for planning and monitoring

    of health status Vital statistics- data related to vital events

    like birth. Health Statistics health status of an

    individual or community Hospital or Clinic Statistics-e.g. # of beds:

    drug distribution

    Service statistics e.g family planning

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    Role of Statistics in Research

    Aids the researcher in:1. designing a research project2. How to process, organize, and

    summarize research data3. Quantifying variability

    4. In interpreting results and drawingvalid conclusions.

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    Phenomenon of Variationthe tendency of a measurablecharacteristic to change

    From one individual or one setting toanother; or

    Within the same individual or setting atdifferent periods of time

    Statistics is necessary to analyzevariability

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    NATURE OF STATISTICAL DATA

    1. Expressed numerically2. Treated as a mass or group of

    observations3. Subject to variation

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    CONSTANTS

    -non-changing; applicable to the physicalsciences

    -speed of light, #minutes in an hour

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    VARIABLE -may vary or change-measurement or characteristics-things that changes within a category

    -the value of which varies from oneindividual to within the same individualat different periods of time

    - example:Age,gender

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    Types of Variables1. Qualitative Variables- categories are merely expressed as

    labels to distinguish one group formanother

    - Numerical representation of thecategories are for labeling/coding andnot for comparison (greater or less)

    - E.g sex, educational level, occupation,religion,place of residence,diseasestatus

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    Types of Variables2. Quantitative Variables- values indicate a quality or amount and

    can be expressed numerically

    - Values can be arranged according tomagnitude- E.g. age, height, weight, #of students

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    Levels of Measurements

    1. Nominal A classificatory scale where the categories

    are used as labels only; (does not represent

    qty) Number or names which represent a set of

    mutually exclusive and exhaustive classes towhich individuals or objects (attributes) may

    be assignede.g. sex (male, female) race, blood grups,

    seatbelts in car, psych diagnosis ( manic,depressive)

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    2. OrdinalSame characteristics as for nominalscales with the additional feature thatthe classes can be ordered or ranked,however the distance between twocategories cannot be clearlyquantified.

    e.g. psychosocial scales ( stronglydisagree, disagree, agree, stronglyagree), age groups ( infant, child,

    teenager, adult)

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    3. Interval same characteristics as for scales with

    the additional feature that the distancesbetween all adjacent classes are equal

    Conceptually, these scales are infinite,in that they have neither beginning norending

    Zero point is arbitrary and does notmean absence of the characteristicse.g. Temp, calendar, time, IQ

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    4. Ratiosame characteristics as for ordinalscales with the additional feature thatthe meaningful zero point exists.

    e.g. weight, blood pressure, height,doctor visits

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    Sampling

    The act of studying or examining only asegment of the population to representthe whole. Whatever findings we get forthis segment of the population, wegeneralized to the total population.

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    Advantages of Sampling

    Cheaper- only a part of the population ison study

    Faster- shorter time spent for datacollection and gathering

    Better quality of information can becollected- the data collectors are trainedand supervised closely.

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    More Comprehensive Data- Detailed

    questions on a specific topic require alot of time to collect.

    It is the only possible method for

    destructive procedures- e.g. bloodsample

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    Definition of Terms

    Population- refers to the entire group ofindividuals or items of interest in thestudy

    Target population- is the group fromwhich representative information isdesired and to which inferences will bemade.

    Sampling population- population fromwhich a sample will actually be drawn

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    Elementary unit or element- is an objector a person on which a measurement isactually taken or observation is made.

    Sampling Unit- refers to the units whichare chosen in selecting the sample, and

    maybe made up of non-overlappingcollection of elements or elementaryunits.

    Sampling frame- collection of samplingunit

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    Criteria of a good samplingdesign

    The sample to be obtained should be arepresentative of the target population

    The sample size should be adequate

    Practicality and feasibility of the samplingprocedure. Should be sufficiently simple andstraightforward so that it can be carried outsubstantially as planned.

    Economy and efficiency of the samplingdesigned- most information at the smallestcost.

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    General / Basic types of samplingdesigns

    A. Non - Probability Sampling Design-Probability of each member of thepopulation being selected as part ofthe sample cannot be determined

    B. Probability Sampling Design eachmember of the population has aknown non-zero chance of beingselected as a sample e.g. P=1/n

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    A. Non-Probability SamplingDesign

    Judgmental or Purposive Accidental or Haphazard

    Quota Sampling Snowball technique Convenience Sampling

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    Judgmental or Purposive - Arepresentative sample of the

    population is selected based on anexperts subjective judgment or somepre-specified criteriae.g. autism subject

    - Accidental or Haphazard The sample ismade up of those come at hand or whois available e.g. ambush interview

    - Quota Sampling Sample of a fixed size(quota) are obtained frompredetermined subdivisions of the

    population ( e.g. religion research)

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    Snowball Technique - The sample isobtained by a process whereby an

    individual to be included is identified bya member who was previously included(e.g. Drug abuse)

    Convenience

    Study unit that are easilyaccessible are selected as samples (e.g.clinic studies)

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    Advantages of Non-Probability Sampling Easier to execute The only possible means

    Disadvantages of Non-probability

    Sampling designs More likely to produce biased results No defined rules to compute for estimates Cannot compute reliability of estimates

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    Simple Random Sampling The most basic type of sampling design.

    Every element in the population has anequal chance of being included in thesample.

    How to do an SRS? Make a numbered list of all the units in

    the population from which you want todraw a sample

    Decide on the size of the sample Select the required number of sampling

    units using a lottery method a table ofrandom numbers or the RAN function ofa calculator

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    Advantages of SRS Simple design Simple analysis

    Disadvantages of SRS Not cost efficient because elementary

    units maybe too widespread Requires a sampling frame listing all

    elementary units of the population

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    Systematic SamplingSamples are chosen at regular intervals

    (for example every fifth) from thesampling frame.The researcher computes for the

    sampling interval (k=N/n)

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    Example Population Size (N) = 80 household;

    Sample Size (n)= 10\ Sampling interval k = N/n = 80/10 = 8 Draw a number between 1-10 (inclusive).

    The number drawn will be the startingpoint of the sampling.

    The succeeding sample is the next kth

    member of the population. Therefore, ifnumber 4 is picked, the every 8 th household will be included in the sample,

    starting with household number 4 until 10

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    Advantages of Systematic Sampling Less time consuming and easier to

    perform Can be used even in the absence of thesampling frame

    Sometimes can result in a morerepresentative sample a goodrepresentation or good distribution

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    Disadvantages of Systematic Sampling Units are widely spread

    Systematic bias (e.g in clinic attendance,systematic sampling with a samplinginterval of 7 days would be inappropriateas all the days would fall on the sameday of the week)

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    Stratified Random Sampling

    The population is first divided into non-overlapping groups called (stratum) strataand then a simple random sampling is donefor each stratum. (e.g. different level of highschool students).

    Advantages of Stratified Random Sampling

    Ensure subgroups are adequatelyrepresented Accurate estimates for each stratum can be

    obtained Produces more reliable results

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    Disadvantages of Stratified Random Sampling

    May require a very large sample ifreliable estimates for each stratum arewanted

    Cluster Sampling The selection of groups of study units(clusters) instead of the selection of studyunits individually(e.g. population maybe clustered perbarangay)

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    Example: Nationwide survey of all the 15 regions

    (stratified)Sample unit province- primary sampling unit(Simple Random)

    1 urban and 1rural brgy secondary samplingunit (stratified)

    One cluster of 35 household-tertiary samplingunit (cluster)

    Choose the household elementary unit(Systematic)

    Sampling design Is:4- stage stratifiedsystematic; cluster,simple random samplingdesign

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    Advantages of Cluster & Multi-Stage Sampling

    Cost efficient design Sampling frame for all elementary units not

    required Sample easier to select

    Disadvantages of Advantages of Cluster & Multi-Stage Sampling

    More complicated design to implement More complicated analysis Need for bigger sample size to achieve sample

    precision units are widely spread

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    BIAS IN SAMPLING1. Non-response

    Pre-test data collection tool Follow up Study non-respondents separately-

    maybe they are more at risk Increase sample size

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    BIAS IN SAMPLING

    1. Studying volunteers only.2. Sampling of registered patients only3. Missing cases of short duration4. Seasonal Bias5. Tarmac Bias due to convenience

    sampling

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