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Data Analysis.pptx
BASICTERMINOLOGY
Statistics,Biostatistics,Variable, Measurement
Scale,Data, Medical Data, type of data, Data
Analysis
VARIABLE,SCALE,DATA
• Variable isa characteristics whichvaries and
• Scale is a device on which observations are
taken.
• Data is set of observations/measurements taken
from experiment/survey or external source of a
specific variable using some appropriate
measurement scale
What is Statistics?...
A science of:
• Collecting numerical
information (data)
• Evaluating the numerical
information (classify, summarize,
organize, analyze)
•Drawing conclusions based on
evaluation
Statisticsand Bio-statistics
Statistics is generally understood as the subject dealing with
number and data, more broadly it involves activities suchas
collection of data from survey or experiment,
summarization or management of data, presentation of
results in a convincing format, analysis of data or drawing
valid inferencesfrom findings.
Whereas Bio-Statistics is science which helps us in managing
medical data with application of statistical
methods/techniques/tools or a collection of statistical
procedures particularly well-suited to the analysis of
healthcare-related data
What ismedicaldata?
Thedata whichisrelated to patient careor numerical
information regarding patient’sclinical characteristics,
mortality rate survival rate, diseasedistribution,
prevalenceof disease,efficacy of treatment,and
other suchinformation iscalledmedical data.
NATUREOF DATA
• Data is the value you get from observing
(measuring, counting, assessing etc.) from
experiment or survey.
• Data iseither categorical or metric.
• Categorical data is further divided into
Nominal and ordinal,
• Whereas metric into discrete and continuous
(quantitative)data.
Data Analysis.pptx
Types of Data
Qualitative
Data
Quantitative Data
Nominal Ordinal Discret
e
Continuous
Types of Data…
Quantitative Data:
There is a natural numeric scale
(can be subdivided into interval and ratio data)
Example:- age, height, weight
Qualitative Data:
Measuring a characteristic for which there is no
natural numeric scale (can be subdivided into
nominal and ordinal data)
Example:- Gender, Eye color
Quantitative data...
Discrete Data :
When data is taken from some counting process,
Values are distinct and separate.
Values are invariably whole numbers.
Example: Number of children in a family, number of patients in
different wards, number of nurses, number of hospitals in different cities.
Continuous Data :
When data is taken from some measuring process
Those which have uninterrupted range of values.
Can assume either integral or fractional values.
Example : Height, Weight, Age
Qualitative Data…
Nominal data :
To classify characteristics of people, objects or events
into categories.
No meaningful order of classes.
Example: Gender (Male / Female).
Ordinal data (Ranking scale) :
Characteristics can be put into ordered categories.
Example: Socio-economic status (Low/ Medium/ High).
Primary Scalesof Measurement
Scale Basic
Characteristics
Common
Examples
Examples Permissible Statistics
Descriptive Inferential
Nominal Numbers identify
&classifyobjects
Social Security
nos., numbering of
football players
Brandnos., store
types
Percentages,
mode
Chi-square,
binomial test
Ordinal Nos.indicate the
relativepositions
of objectsbutnot
the magnitudeof
differences
between them
Quality rankings,
rankingsof teams
in a tournament
Preference
rankings, market
position, social
class
Percentile,
median
Rank-order
correlation
, Friedman
ANOVA
Interval Differences
between objects
Temperature
(Fahrenheit)
Attitudes,
opinions, index
Range, mean,
standard
Product-
moment
Ratio Zeropointis fixed,
ratios of scale
values can be
compared
Length, weight Age, sales,
income, costs
Geometric
mean,harmonic
mean
Coefficient of
variation
Nominal Scale
 Thenumbersserve only aslabels or tags for identifying and
classifying objects.
 When usedfor identification, there isa strict one-to-one
correspondence between the numbersand the objects.
 Thenumbersdo not reflect the amountof the characteristic
possessedby the objects.
 Theonly permissible operation onthe numbersin a nominal
scale is counting.
 Social security number,hockey players number, brands,
attributes, stores and other objects
ORDINAL SCALE
• A ranking scale in which numbers are assigned to objects to indicate
therelative extentto whichtheobjectspossess somecharacteristic.
• Can determine whether an object has more or less of a characteristic
thansomeotherobject, but nothow muchmoreor less.
• Any series of numbers can be assigned that preserves the ordered
relationshipsbetween theobjects.
• So relative position of objects not the magnitude of difference
between the objects.
• In addition to the counting operation allowable for nominal scale
data, ordinal scales permit the use of statistics based on percentile,
quartile, median.Possessdescriptionand order, notdistanceor origin
INTERVALSCALE
• Numerically equal distances on the scale represent equal
values in the characteristic being measured.
• It permits comparisonof the differences between objects.
• Thedifference between 1 & 2 issameas between 2 & 3
• Thelocation of the zero point isnot fixed.
• Both the zero point and the units of measurement are
arbitrary.
• Everyday temperature scale. Attitudinal data obtained on
rating scales.Donot possessorigin characteristics (zero and
exact measurement)
RATIOSCALE
• Thehighest scale that allows to identify objects, rank order of
objects, and compare intervals or differences. It is also
meaningfulto computeratios of scale values
• Possess all the properties of the nominal, ordinal, and interval
scales.
• It hasanabsolutezero point.
• Height, weight, age, money. Sales, costs, market share and
numberof customersare variables measuredona ratio scale
• All statisticaltechniquescanbe applied to ratio data.
• After collecting the accurate and reliable data
successfully by using the appropriate method from
the source, the next step is how to extract the
pertinent and usefulinformation buried inthe data
for further manipulationand interpretation.
• Theprocessof performing certain calculations and
evaluation in order to extract relevant information
fromdata iscalled data analysis.
Data Analysis
• The data analysis may take several steps to reach
certain conclusions. Simple data can be organized
very easily, while the complex data requires proper
processing.
• The word “processing” means the recasting and
dealing with data makingready for analysis.
Cont……
•Questionnaire checking/Data preparation
•Coding
•Cleaning data
•Applying mostappropriate tools for
analysis
Stepsin data analysis
QUESTIONNAIRECHECKING
A questionnaire returned from the field may be
unacceptable for several reasons.
Partsof the questionnaire maybe incomplete.
Thepattern of responsesmayindicate that therespondent did not
understand or follow the instructions.
Theresponsesshowlittle variance.
One or morepages are missing.
Thequestionnaire isreceived after the pre-established cutoff date.
Thequestionnaire isanswered by someonewho doesnot qualify for
participation.
DATAPREPARATION
Preparation of datafile
It isimportant toconvertraw data intoa usabledata for
analysis (codingwhere it needed), simply transform
information fromquestionnairetocomputer database
Theanalysis andresultswill surelydependonthequality
of data
Thereare possibilitiesof errorsin handling instruments,
raw data, transcribing, data entry,assigningcodes,values,
value labels
Data needtobecleanedtofulfill theanalysis conditions
CODING
Coding means assigning a code, usually a
number, to each possible response to each
question.
•One of the first stepsin analyzing data isto
“clean” it of any obviousdata entry errors:
Outliers? (really high or low numbers)
Example: Age = 110 (really 10 or 11?)
•Value entered that doesn’t exist for variable?
Example:2 entered where 1=male, 0=female
•Missing values?
Did the person not give an answer?Was answer
accidentally not entered into the database?
Data cleaning
•May be able to setdefined limits whenentering data
Preventsentering a 2 whenonly 1, 0, or missingare acceptable
values
•Univariate data analysis isa usefulway to check the
quality of the data
Cont……
Data analysis
Statistical Applications...
Descriptive Statistics
Summarizes or describes the data set at
hand. Evaluate the data set for patterns and
reduce information to a convenient form.
Inferential Statistics
Use sample data to study associations, or to
compare differences or predictions about a
larger set of data.
Descriptive
Statistics…
Measures of central tendency are
statistics that summarize a distribution
of scores by reporting the most typical
or representative value of the
distribution.
Measures of dispersion are statistics that
indicate the amount of variety or
heterogeneity in a distribution of scores.
Descriptive Statistics…
oMeasures of Central Tendency
oMean
oMedian
oMode
oMeasures of Dispersion
oRange
oVariance
oStandard Deviation
Data Analysis May Be Descriptive Or Inferential
Descriptive Contains Mean, Median , Mode, Standard
Deviation, Frequency, Percentage, Range, Percentile
On The Other Hand Confidence Interval, Testing Of
Hypothesis, P-value, ANOVA etc. Related To Inferential
UNI-VARIATEDESCRIPTIVEANALYSIS
Graphical Method
For nominal& ordinal data weuseBar or pie chart
Forcontinuousdata weuse histogram
Numerical method
For nominal& ordinal data weuseFrequency/proportions
Forcontinuousdata weuseMean,Standarddeviation
Summary Guide
Scale Nominal Ordinal
Displaying data
Histogram
Box-plot
Bar chart, Pie chart Bar chart, Pie chart
Summarizing data
Mean, Median,
SD
Frequency table,
Percentage
s,
Proportion
Frequency table,
Percentage
s,
Proportion
Summary Guide for appropriate
analysis for
two variable
Type of
variables
Graphical
display
Relationship
Categorical-
categorical
Multiple bar Contingency
table
Categorical-
Scale
Box-plot Descriptive
statistics
for each group
Scale-scale Scatter plot Correlation
MedicalData
Analysis
Graphs,Bar,PieCharts
Descriptive Analysis
Frequency(f), Percentage
(%), Proportion
Categorical Data
Chi-square (χ2) test
Inferential Analysis
Z-test
Univariate
Histogram
Descriptive Analysis
Mean± S.D
ContinuousData
Z-test (n>30)
Inferential Analysis
t-test (n<30)
Multivariate
Categorical Data
DescriptiveAnalysis
Multiple Bar Charts
ContigencyTable
InferentialAnalysis
Association χ2, OR, RR
Prediction,Logistic
Regression
ScatterPlot, Box Plot
Descriptive Analysis
Relationship, Regression,
Correlation
ContinuousData
t-test
Inferential Analysis
ANOVA, Multiple
Regression

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Data Analysis.pptx

  • 3. VARIABLE,SCALE,DATA • Variable isa characteristics whichvaries and • Scale is a device on which observations are taken. • Data is set of observations/measurements taken from experiment/survey or external source of a specific variable using some appropriate measurement scale
  • 4. What is Statistics?... A science of: • Collecting numerical information (data) • Evaluating the numerical information (classify, summarize, organize, analyze) •Drawing conclusions based on evaluation
  • 5. Statisticsand Bio-statistics Statistics is generally understood as the subject dealing with number and data, more broadly it involves activities suchas collection of data from survey or experiment, summarization or management of data, presentation of results in a convincing format, analysis of data or drawing valid inferencesfrom findings. Whereas Bio-Statistics is science which helps us in managing medical data with application of statistical methods/techniques/tools or a collection of statistical procedures particularly well-suited to the analysis of healthcare-related data
  • 6. What ismedicaldata? Thedata whichisrelated to patient careor numerical information regarding patient’sclinical characteristics, mortality rate survival rate, diseasedistribution, prevalenceof disease,efficacy of treatment,and other suchinformation iscalledmedical data.
  • 7. NATUREOF DATA • Data is the value you get from observing (measuring, counting, assessing etc.) from experiment or survey. • Data iseither categorical or metric. • Categorical data is further divided into Nominal and ordinal, • Whereas metric into discrete and continuous (quantitative)data.
  • 9. Types of Data Qualitative Data Quantitative Data Nominal Ordinal Discret e Continuous
  • 10. Types of Data… Quantitative Data: There is a natural numeric scale (can be subdivided into interval and ratio data) Example:- age, height, weight Qualitative Data: Measuring a characteristic for which there is no natural numeric scale (can be subdivided into nominal and ordinal data) Example:- Gender, Eye color
  • 11. Quantitative data... Discrete Data : When data is taken from some counting process, Values are distinct and separate. Values are invariably whole numbers. Example: Number of children in a family, number of patients in different wards, number of nurses, number of hospitals in different cities. Continuous Data : When data is taken from some measuring process Those which have uninterrupted range of values. Can assume either integral or fractional values. Example : Height, Weight, Age
  • 12. Qualitative Data… Nominal data : To classify characteristics of people, objects or events into categories. No meaningful order of classes. Example: Gender (Male / Female). Ordinal data (Ranking scale) : Characteristics can be put into ordered categories. Example: Socio-economic status (Low/ Medium/ High).
  • 13. Primary Scalesof Measurement Scale Basic Characteristics Common Examples Examples Permissible Statistics Descriptive Inferential Nominal Numbers identify &classifyobjects Social Security nos., numbering of football players Brandnos., store types Percentages, mode Chi-square, binomial test Ordinal Nos.indicate the relativepositions of objectsbutnot the magnitudeof differences between them Quality rankings, rankingsof teams in a tournament Preference rankings, market position, social class Percentile, median Rank-order correlation , Friedman ANOVA Interval Differences between objects Temperature (Fahrenheit) Attitudes, opinions, index Range, mean, standard Product- moment Ratio Zeropointis fixed, ratios of scale values can be compared Length, weight Age, sales, income, costs Geometric mean,harmonic mean Coefficient of variation
  • 14. Nominal Scale  Thenumbersserve only aslabels or tags for identifying and classifying objects.  When usedfor identification, there isa strict one-to-one correspondence between the numbersand the objects.  Thenumbersdo not reflect the amountof the characteristic possessedby the objects.  Theonly permissible operation onthe numbersin a nominal scale is counting.  Social security number,hockey players number, brands, attributes, stores and other objects
  • 15. ORDINAL SCALE • A ranking scale in which numbers are assigned to objects to indicate therelative extentto whichtheobjectspossess somecharacteristic. • Can determine whether an object has more or less of a characteristic thansomeotherobject, but nothow muchmoreor less. • Any series of numbers can be assigned that preserves the ordered relationshipsbetween theobjects. • So relative position of objects not the magnitude of difference between the objects. • In addition to the counting operation allowable for nominal scale data, ordinal scales permit the use of statistics based on percentile, quartile, median.Possessdescriptionand order, notdistanceor origin
  • 16. INTERVALSCALE • Numerically equal distances on the scale represent equal values in the characteristic being measured. • It permits comparisonof the differences between objects. • Thedifference between 1 & 2 issameas between 2 & 3 • Thelocation of the zero point isnot fixed. • Both the zero point and the units of measurement are arbitrary. • Everyday temperature scale. Attitudinal data obtained on rating scales.Donot possessorigin characteristics (zero and exact measurement)
  • 17. RATIOSCALE • Thehighest scale that allows to identify objects, rank order of objects, and compare intervals or differences. It is also meaningfulto computeratios of scale values • Possess all the properties of the nominal, ordinal, and interval scales. • It hasanabsolutezero point. • Height, weight, age, money. Sales, costs, market share and numberof customersare variables measuredona ratio scale • All statisticaltechniquescanbe applied to ratio data.
  • 18. • After collecting the accurate and reliable data successfully by using the appropriate method from the source, the next step is how to extract the pertinent and usefulinformation buried inthe data for further manipulationand interpretation. • Theprocessof performing certain calculations and evaluation in order to extract relevant information fromdata iscalled data analysis. Data Analysis
  • 19. • The data analysis may take several steps to reach certain conclusions. Simple data can be organized very easily, while the complex data requires proper processing. • The word “processing” means the recasting and dealing with data makingready for analysis. Cont……
  • 20. •Questionnaire checking/Data preparation •Coding •Cleaning data •Applying mostappropriate tools for analysis Stepsin data analysis
  • 21. QUESTIONNAIRECHECKING A questionnaire returned from the field may be unacceptable for several reasons. Partsof the questionnaire maybe incomplete. Thepattern of responsesmayindicate that therespondent did not understand or follow the instructions. Theresponsesshowlittle variance. One or morepages are missing. Thequestionnaire isreceived after the pre-established cutoff date. Thequestionnaire isanswered by someonewho doesnot qualify for participation.
  • 22. DATAPREPARATION Preparation of datafile It isimportant toconvertraw data intoa usabledata for analysis (codingwhere it needed), simply transform information fromquestionnairetocomputer database Theanalysis andresultswill surelydependonthequality of data Thereare possibilitiesof errorsin handling instruments, raw data, transcribing, data entry,assigningcodes,values, value labels Data needtobecleanedtofulfill theanalysis conditions
  • 23. CODING Coding means assigning a code, usually a number, to each possible response to each question.
  • 24. •One of the first stepsin analyzing data isto “clean” it of any obviousdata entry errors: Outliers? (really high or low numbers) Example: Age = 110 (really 10 or 11?) •Value entered that doesn’t exist for variable? Example:2 entered where 1=male, 0=female •Missing values? Did the person not give an answer?Was answer accidentally not entered into the database? Data cleaning
  • 25. •May be able to setdefined limits whenentering data Preventsentering a 2 whenonly 1, 0, or missingare acceptable values •Univariate data analysis isa usefulway to check the quality of the data Cont……
  • 27. Statistical Applications... Descriptive Statistics Summarizes or describes the data set at hand. Evaluate the data set for patterns and reduce information to a convenient form. Inferential Statistics Use sample data to study associations, or to compare differences or predictions about a larger set of data.
  • 28. Descriptive Statistics… Measures of central tendency are statistics that summarize a distribution of scores by reporting the most typical or representative value of the distribution. Measures of dispersion are statistics that indicate the amount of variety or heterogeneity in a distribution of scores.
  • 29. Descriptive Statistics… oMeasures of Central Tendency oMean oMedian oMode oMeasures of Dispersion oRange oVariance oStandard Deviation
  • 30. Data Analysis May Be Descriptive Or Inferential Descriptive Contains Mean, Median , Mode, Standard Deviation, Frequency, Percentage, Range, Percentile On The Other Hand Confidence Interval, Testing Of Hypothesis, P-value, ANOVA etc. Related To Inferential
  • 31. UNI-VARIATEDESCRIPTIVEANALYSIS Graphical Method For nominal& ordinal data weuseBar or pie chart Forcontinuousdata weuse histogram Numerical method For nominal& ordinal data weuseFrequency/proportions Forcontinuousdata weuseMean,Standarddeviation
  • 32. Summary Guide Scale Nominal Ordinal Displaying data Histogram Box-plot Bar chart, Pie chart Bar chart, Pie chart Summarizing data Mean, Median, SD Frequency table, Percentage s, Proportion Frequency table, Percentage s, Proportion
  • 33. Summary Guide for appropriate analysis for two variable Type of variables Graphical display Relationship Categorical- categorical Multiple bar Contingency table Categorical- Scale Box-plot Descriptive statistics for each group Scale-scale Scatter plot Correlation
  • 34. MedicalData Analysis Graphs,Bar,PieCharts Descriptive Analysis Frequency(f), Percentage (%), Proportion Categorical Data Chi-square (χ2) test Inferential Analysis Z-test Univariate Histogram Descriptive Analysis Mean± S.D ContinuousData Z-test (n>30) Inferential Analysis t-test (n<30) Multivariate Categorical Data DescriptiveAnalysis Multiple Bar Charts ContigencyTable InferentialAnalysis Association χ2, OR, RR Prediction,Logistic Regression ScatterPlot, Box Plot Descriptive Analysis Relationship, Regression, Correlation ContinuousData t-test Inferential Analysis ANOVA, Multiple Regression