Basic Biostat

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    Basics of Biostatistics

    Dr Sumanth MM

    Assistant Professor, Community Medicine, MMCRI, MysoreMBBS,MD,DNB

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    Constant and variable

    A constant is a quantity which within the framework of a given problem, remains unchanged;

    A variable takes on various values.

    The same quantity may be a constant in somesituation and a variable in another.

    Types of variable

    - Continuous - Quantitative- Discrete - Qualitative

    - Random

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    Scales of measurements

    Nominal

    Ordinal

    Interval

    Ratio

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    - Independent - ( Intervening ) - Dependent

    - Cause - ( Confounding) - Effect

    - Input - ( Process ) - Output

    - Predicting - ( Disturbing ) - Predicted

    - Experimental - ( Random ) - Outcome

    Variables at different settings

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    Data Analyses/Syntheses Process

    Screening /Verification/Cleaning up

    Organization

    Compilation /Collation &

    Classification (Nominal/Ordinal/Numerical)

    Grouped Frequency Distribution

    Tabulation

    Graphical representations

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    Summary Statistics

    Rates, Ratios and Proportions

    Incidence & Prevalence (Point /Period)

    Numerator and Denominator

    Per Cent / Thousand / Lakh / Million

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    Summary Statistics

    Measures of

    Central Tendency averages

    Dispersion/Deviation

    /Scatter/Variation/ Spread

    Locationpercentiles /quintiles

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    Measures of Central Tendency

    Mean (Simple / Arithmetic)

    Median

    Mode

    Weighted Mean (average of average or of percentages)t

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    Measures of Dispersion

    Range (min. - max.)

    Modified Range

    Average Deviation (from Mean/given point)

    Variance

    Standard Deviation

    Coefficient of Variation (CV expressed in relative %)

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    Measures of Location

    Percentiles (100thfraction/partition)

    Deciles (10thfraction/partition)

    Quartiles (25thpercentile)

    Median (50thpercentile or 5thdeciles)

    Inter - Quartile range (Q3 Q1)

    Inter - Deciles range (D9 D1)

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    Mean3 2 +2 +3

    95.5%

    99.7%

    The role of Central tendency

    and Deviation

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    Data entry and analysis

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    Objectives

    You should be able to make master chart

    You should be able to understand the guidelines

    to enter data

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    Always make it soft copy

    Follow data sheet/questionnaire for data entry

    Use excel/spss/graphpad Identification for each observation is essential

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    Always know questionnaire

    Always enter data uniformly

    (capital letter etc)

    Codes to be used

    Column title should be simple, logical easy tounderstand

    Units need not be entered

    Dont change the variable type (keep continuousvariables as it is)

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    Prepare master chart for your topic in excel

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    Data analysis

    Data ---- information

    Summary

    Mean, Median, ModeRange, IQR, SIQR, Variablity

    Proportion, OR, RR, Mean difference, Difference ofProportion

    Inferential SEP, SEM, SEDP, SEDM Identifies role of chance

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    Group A- SEM-3 mean 10, 7-13

    Group B- SEM-1 mean 9, 8-10

    Identify role of chance

    Statistical tests/ tests of significance

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    Prarametric tests

    Non-parametric tests

    Where do you which tests?

    T p f D t

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    Type of Data

    Goal Measurement (from

    Gaussian Population)

    Rank, Score, or Measurement

    (from Non- Gaussian

    Population)

    Binomial

    (Two Possible

    Outcomes)

    Describe one group Mean, SD Median, interquartile range Proportion

    Compare one group to a

    hypothetical value

    One-sample ttest Wilcoxon test Chi-square

    or

    Binomial test **

    Compare two unpairedgroups Unpaired ttest Mann-Whitney test Fisher's test

    (chi-square for large

    samples)

    Compare two paired groups Paired ttest Wilcoxon test McNemar's test

    Compare three or more

    unmatched groups

    One-way ANOVA Kruskal-Wallis test Chi-square test

    Compare three or more matched

    groups

    Repeated-measures ANOVA Friedman test Cochrane Q**

    Quantify association between

    two variables

    Pearson correlation Spearman correlation Contingency

    coefficients**

    Predict value from another

    measured variable

    Simple linear regression

    or

    Nonlinear regression

    Nonparametric regression** Simple logistic

    regression*

    Predict value from several

    measured or binomial variables

    Multiple linear regression*

    or

    Multiple nonlinear regression**

    Multiple logistic

    regression*

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    Test depends on

    Study design

    Type of variable

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    softwares

    SPSS

    GRAPH PAD

    SYSSTATSTATA

    SAS

    Epi info

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