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INTRODUCTION TO
BIOSTATISTICS
Dr.P.V.SURESH
DPET OF PHARMACEUTICAL ANALYSIS
In-silico analysis
 Reduce cost
 Reduce time
 Improve quality
 Optimization of M4s
Analysis and interpretation of
data??
Data Analytics: DOE, AQbD
Biostatics: Statistical
Bioinformatics: Computational tools
Schrödinger, AutoDock, MOE
Biostatistician
Role: Applying statistical methods and
mathematical principles to analyze and
evaluate research data in health sciences, then
providing explanations and recommendations
as a result of research.
They present their findings to policymakers,
health officials, and other government officials or
CEOs to assist them in making public health
decisions.
Ex: Analyze the effectiveness of new drugs and
forecast health outcomes (Stable, Effective,
ADME)
Using quantitative skills and statistical tools, they evaluate the data, analyze
trends, and predict outcomes.
Positions: Universities, hospitals, government organizations, research
facilities, instrumentation firms and pharmaceutical companies.
Salaries: 30,000K to 1lac,
How to become ?????
bachelor and Master's degree
SAS programming language
Skills????
Analytical, scientific, Statistical, mathematical, computer,
management, communication
Software
SAS
Minitab Statistical Software
OriginPro
Prism
Python
R
Winonlin
 “Statistics is the science which
deals with collection, classification
and tabulation of numerical facts as
the basis for explanation,
description and comparison of
phenomenon”.
“BIOSTATISICS”
 The methods used in dealing with
statistics in the fields of medicine,
biology and public health for planning,
conducting and analyzing data which
arise in investigations of these branches.
Douglas Altman Ronald Fisher Karl Pearson
C.R. Rao
Father of Biostat
Applications
How to use bio-statics
 Interest on research
 Generate hypothesis
 Design protocol
 Collection data/Litt survey
 Analyze the data
 Descriptive statics
 Statistical inference
Descriptive statistics helps to describe and organize known data using charts, bar
graphs/patterns of group
Inferential statistics aims at making inferences and generalizations about the
population data.
Central tendency: central position of the data
Dispersion: spread out the data
Tests/Tools/Parameters
How to apply these ?????
Relation between sample and population
 It is like a scientific guess to learn new things.
 A scientific hypothesis that has been verified
through scientific experiment and research
 It’s an idea or prediction that scientists predict
before they do experiments.
 They use it to guess what might happen and
then test it to see if they are right or wrong.
Hypothesis
Hypothesis: Prediction
Hypothesis testing, sometimes called significance testing, is
an act in statistics whereby an analyst tests an assumption
regarding a population parameter. The methodology
employed by the analyst depends on the nature of the data
used and the reason for the analysis.
Null hypothesis-H0 : no significant or statistical relationship
Alternative hypothesis-H1 : significant or statistical relationship
significant or statistical relationships
Claim/Assumption on population or sample
Example: Paracetamol
Sample/Population: Tablet, Syrup
Measurement variables: Assay, Stability
 1 Sample Vs 1 Variable (Tablet Vs Assay)
 1 Sample Vs 2 Variables (Tablet Vs Assay, Stability)
 2 samples Vs 1 Variable (Tab, Syrup Vs Assay)
 2 samples Vs 2 Variables (Tab, Syrup Vs Assay, stability)
Sampling techniques
Basis
Sources of Medical
Uncertainties
1. Intrinsic due to biological,
environmental and sampling factors
2. Natural variation among methods,
observers, instruments etc.
3. Errors in measurement or assessment
or errors in knowledge
4. Incomplete knowledge
Intrinsic variation as a
source of medical
uncertainties
 Biological due to age, gender, heredity, parity, height,
weight, etc. Also due to variation in anatomical,
physiological and biochemical parameters
 Environmental due to nutrition, smoking, pollution,
facilities of water and sanitation, road traffic, legislation,
stress and strains etc.,
 Sampling fluctuations because the entire world cannot
be studied and at least future cases can never be
included
 Chance variation due to unknown or complex to
comprehend factors
Natural variation despite
best care as a source of
uncertainties
 In assessment of any medical parameter
 Due to partial compliance by the patients
 Due to incomplete information in
conditions such as the patient in coma
Medical Errors that cause
Uncertainties
 Carelessness of the providers such as physicians,
surgeons, nursing staff, radiographers and
pharmacists.
 Errors in methods such as in using incorrect quantity or
quality of chemicals and reagents, misinterpretation of
ECG, using inappropriate diagnostic tools,
misrecording of information etc.
 Instrument error due to use of non-standardized or
faulty instrument and improper use of a right
instrument.
 Not collecting full information
 Inconsistent response by the patients or other subjects
under evaluation
Incomplete knowledge as a
source of Uncertainties
 Diagnostic, therapeutic and prognostic
uncertainties due to lack of knowledge
 Predictive uncertainties such as in
survival duration of a patient of cancer
 Other uncertainties such as how to
measure positive health
Biostatistics is the
science that helps in
managing medical
uncertainties
Reasons to know about
biostatistics:
 Medicine is becoming increasingly
quantitative.
 The planning, conduct and interpretation
of much of medical research are
becoming increasingly reliant on the
statistical methodology.
 Statistics pervades the medical literature.
CLINICAL MEDICINE
 Documentation of medical history of
diseases.
 Planning and conduct of clinical studies.
 Evaluating the merits of different
procedures.
 In providing methods for definition of
“normal” and “abnormal”.
Role of Biostatistics in
patient care
 In increasing awareness regarding diagnostic,
therapeutic and prognostic uncertainties and
providing rules of probability to delineate those
uncertainties
 In providing methods to integrate chances with value
judgments that could be most beneficial to patient
 In providing methods such as sensitivity-specificity
and predictivities that help choose valid tests for
patient assessment
 In providing tools such as scoring system and expert
system that can help reduce epistemic uncertainties
PREVENTIVE MEDICINE
 To provide the magnitude of any health
problem in the community.
 To find out the basic factors underlying
the ill-health.
 To evaluate the health programs which
was introduced in the community
(success/failure).
 To introduce and promote health
legislation.
Role of Biostatics in Health
Planning and Evaluation
 In carrying out a valid and reliable health
situation analysis, including in proper
summarization and interpretation of data.
 In proper evaluation of the achievements
and failures of a health programme
Role of Biostatistics in
Medical Research
 In developing a research design that can
minimize the impact of uncertainties
 In assessing reliability and validity of
tools and instruments to collect the
infromation
 In proper analysis of data
Example: Evaluation of Penicillin (treatment
A) vs Penicillin & Chloramphenicol
(treatment B) for treating bacterial
pneumonia in children< 2 yrs.
 What is the sample size needed to demonstrate the significance
of one group against other ?
 Is treatment A is better than treatment B or vice versa ?
 If so, how much better ?
 What is the normal variation in clinical measurement ? (mild,
moderate & severe) ?
 How reliable and valid is the measurement ? (clinical &
radiological) ?
 What is the magnitude and effect of laboratory and technical
error ?
 How does one interpret abnormal values ?
WHAT DOES STAISTICS
COVER ?
Planning
Design
Execution (Data collection)
Data Processing
Data analysis
Presentation
Interpretation
Publication
BASIC CONCEPTS
Data : Set of values of one or more variables recorded
on one or more observational units
Categories of data
1. Primary data: observation, questionnaire, record form,
interviews, survey,
2. Secondary data: census, medical record,registry
Sources of data 1. Routinely kept records
2. Surveys (census)
3. Experiments
4. External source
TYPES OF DATA
 QUALITATIVE DATA
 DISCRETE QUANTITATIVE
 CONTINOUS QUANTITATIVE
QUALITATIVE
Nominal
Example: Sex ( M, F)
Exam result (P, F)
Blood Group (A,B, O or AB)
Color of Eyes (blue, green,
brown, black)
ORDINAL
Example:
Response to treatment
(poor, fair, good)
Severity of disease
(mild, moderate, severe)
Income status (low, middle,
high)
QUANTITATIVE (DISCRETE)
Example: The no. of family members
The no. of heart beats
The no. of admissions in a day
QUANTITATIVE (CONTINOUS)
Example: Height, Weight, Age, BP, Serum
Cholesterol and BMI
Discrete data -- Gaps between possible values
Continuous data -- Theoretically,
no gaps between possible values
Number of Children
Hb
CONTINUOUS DATA
QUALITATIVE DATA
wt. (in Kg.) : under wt, normal & over wt.
Ht. (in cm.): short, medium & tall
hospital length of stay Number Percent
1 – 3 days 5891 43.3
4 – 7 days 3489 25.6
2 weeks 2449 18.0
3 weeks 813 6.0
1 month 417 3.1
More than 1 month 545 4.0
Total 14604 100.0
Mean = 7.85 SE = 0.10
Table 1 Distribution of blunt injured patients
according to hospital length of stay
Scale of measurement
Qualitative variable:
A categorical variable
Nominal (classificatory) scale
- gender, marital status, race
Ordinal (ranking) scale
- severity scale, good/better/best
Scale of measurement
Quantitative variable:
A numerical variable: discrete; continuous
Interval scale :
Data is placed in meaningful intervals and order. The unit of
measurement are arbitrary.
- Temperature (37º C -- 36º C; 38º C-- 37º C are equal) and
No implication of ratio (30º C is not twice as hot as 15º C)
Ratio scale:
Data is presented in frequency distribution in
logical order. A meaningful ratio exists.
- Age, weight, height, pulse rate
- pulse rate of 120 is twice as fast as 60
- person with weight of 80kg is twice as heavy
as the one with weight of 40 kg.
Scales of Measure
 Nominal – qualitative classification of
equal value: gender, race, color, city
 Ordinal - qualitative classification
which can be rank ordered:
socioeconomic status of families
 Interval - Numerical or quantitative
data: can be rank ordered and sizes
compared : temperature
 Ratio - Quantitative interval data along
with ratio: time, age.
CLINIMETRICS
A science called clinimetrics in which
qualities are converted to meaningful
quantities by using the scoring system.
Examples: (1) Apgar score based on
appearance, pulse, grimace, activity and
respiration is used for neonatal prognosis.
(2) Smoking Index: no. of cigarettes, duration,
filter or not, whether pipe, cigar etc.,
(3) APACHE( Acute Physiology and Chronic
Health Evaluation) score: to quantify the
severity of condition of a patient
INVESTIGATION
Data Colllection
Data Presentation
Tabulation
Diagrams
Graphs
Descriptive Statistics
Measures of Location
Measures of Dispersion
Measures of Skewness &
Kurtosis
Inferential Statistiscs
Estimation Hypothesis
Testing
Ponit estimate
Inteval estimate
Univariate analysis
Multivariate analysis
Frequency Distributions
 data distribution – pattern of
variability.
 the center of a distribution
 the ranges
 the shapes
 simple frequency distributions
 grouped frequency distributions
 midpoint
Patien
t No
Hb
(g/dl)
Patien
t No
Hb
(g/dl)
Patien
t No
Hb
(g/dl)
1 12.0 11 11.2 21 14.9
2 11.9 12 13.6 22 12.2
3 11.5 13 10.8 23 12.2
4 14.2 14 12.3 24 11.4
5 12.3 15 12.3 25 10.7
6 13.0 16 15.7 26 12.5
7 10.5 17 12.6 27 11.8
8 12.8 18 9.1 28 15.1
9 13.2 19 12.9 29 13.4
10 11.2 20 14.6 30 13.1
Tabulate the hemoglobin values of 30 adult
male patients listed below
Steps for making a
table
Step1 Find Minimum (9.1) & Maximum (15.7)
Step2 Calculate difference 15.7 – 9.1 = 6.6
Step3 Decide the number and width of
the classes (7 c.l) 9.0 -9.9, 10.0-10.9,----
Step4 Prepare dummy table –
Hb (g/dl), Tally mark, No. patients
Hb (g/dl) Tall marks No.
patients
9.0 – 9.9
10.0 – 10.9
11.0 – 11.9
12.0 – 12.9
13.0 – 13.9
14.0 – 14.9
15.0 – 15.9
Total
Hb (g/dl) Tall marks No.
patients
9.0 – 9.9
10.0 – 10.9
11.0 – 11.9
12.0 – 12.9
13.0 – 13.9
14.0 – 14.9
15.0 – 15.9
l
lll
lll
llll llll
llll
lll
ll
1
3
6
10
5
3
2
Total - 30
DUMMY TABLE Tall Marks TABLE
Hb (g/dl) No. of
patients
9.0 – 9.9
10.0 – 10.9
11.0 – 11.9
12.0 – 12.9
13.0 – 13.9
14.0 – 14.9
15.0 – 15.9
1
3
6
10
5
3
2
Total 30
Table Frequency distribution of 30 adult male
patients by Hb
Table Frequency distribution of adult patients by
Hb and gender:
Hb
(g/dl)
Gender Total
Male Female
<9.0
9.0 – 9.9
10.0 – 10.9
11.0 – 11.9
12.0 – 12.9
13.0 – 13.9
14.0 – 14.9
15.0 – 15.9
0
1
3
6
10
5
3
2
2
3
5
8
6
4
2
0
2
4
8
14
16
9
5
2
Total 30 30 60
Elements of a Table
Ideal table should have Number
Title
Column headings
Foot-notes
Number – Table number for identification in a report
Title,place - Describe the body of the table, variables,
Time period (What, how classified, where and when)
Column - Variable name, No. , Percentages (%), etc.,
Heading
Foot-note(s) - to describe some column/row headings,
special cells, source, etc.,
Death rate (/1000 per annum)
No. of divisions
7.0-7.9 4 (3.3)
8.0 - 8.9 13 (10.8)
9.0 - 9.9 20 (16.7)
10.0 - 10.9 27 (22.5)
11.0 - 11.9 18 (15.0)
12.0 - 12.9 11 (0.2)
13.0 - 13.9 11 (9.2)
14.0 - 14.9 6 (5.0)
15.0 - 15.9 2 (1.7)
16.0 - 16.9 4 (3.3)
17.0 - 18.9 3 (2.5)
19.0 + 1 (0.8)
Total 120 (100.0)
Table II. Distribution of 120 (Madras) Corporation divisions
according to annual death rate based on registered deaths in
1975 and 1976
Figures in parentheses indicate percentages
DIAGRAMS/GRAPHS
Discrete data
--- Bar charts (one or two groups)
Continuous data
--- Histogram
--- Frequency polygon (curve)
--- Stem-and –leaf plot
--- Box-and-whisker plot
Example data
68 63 42 27 30 36 28 32
79 27 22 28 24 25 44 65
43 25 74 51 36 42 28 31
28 25 45 12 57 51 12 32
49 38 42 27 31 50 38 21
16 24 64 47 23 22 43 27
49 28 23 19 11 52 46 31
30 43 49 12
Histogram
Figure 1 Histogram of ages of 60 subjects
11.5 21.5 31.5 41.5 51.5 61.5 71.5
0
10
20
Age
Frequency
Polygon
71.5
61.5
51.5
41.5
31.5
21.5
11.5
20
10
0
Age
Frequency
Example data
68 63 42 27 30 36 28 32
79 27 22 28 24 25 44 65
43 25 74 51 36 42 28 31
28 25 45 12 57 51 12 32
49 38 42 27 31 50 38 21
16 24 64 47 23 22 43 27
49 28 23 19 11 52 46 31
30 43 49 12
Stem and leaf plot
Stem-and-leaf of Age N = 60
Leaf Unit = 1.0
6 1 122269
19 2 1223344555777788888
(11) 3 00111226688
13 4 2223334567999
5 5 01127
4 6 3458
2 7 49
Box plot
10
20
30
40
50
60
70
80
Age
Descriptive statistics report:
Boxplot
- minimum score
- maximum score
- lower quartile
- upper quartile
- median
- mean
- the skew of the distribution:
positive skew: mean > median & high-score whisker is longer
negative skew: mean < median & low-score whisker is longer
10%
20%
70%
Mild
Moderate
Severe
The prevalence of different degree of
Hypertension
in the population
Pie Chart
•Circular diagram – total -100%
•Divided into segments each
representing a category
•Decide adjacent category
•The amount for each category is
proportional to slice of the pie
Bar Graphs
9
12
20
16
12
8
20
0
5
10
15
20
25
Smo Alc Chol DM HTN No
Exer
F-H
Riskfactor
Number
The distribution of risk factor among cases with
Cardio vascular Diseases
Heights of the bar indicates
frequency
Frequency in the Y axis
and categories of variable
in the X axis
The bars should be of equal
width and no touching the
other bars
HIV cases enrolment in
USA by gender
0
2
4
6
8
10
12
1986 1987 1988 1989 1990 1991 1992
Year
Enrollment
(hundred)
Men
Women
Bar chart
HIV cases Enrollment
in USA by gender
0
2
4
6
8
10
12
14
16
18
1986 1987 1988 1989 1990 1991 1992
Year
Enrollment
(Thousands)
Women
Men
Stocked bar chart
Graphic Presentation of
Data
the histogram
(quantitative data)
the bar graph
(qualitative data)
the frequency polygon
(quantitative data)
General rules for designing
graphs
 A graph should have a self-explanatory
legend
 A graph should help reader to understand
data
 Axis labeled, units of measurement
indicated
 Scales important. Start with zero (otherwise
// break)
 Avoid graphs with three-dimensional
impression, it may be misleading (reader
visualize less easily
Any Questions
Origin and development of
statistics in Medical Research
 In 1929 a huge paper on application of
statistics was published in Physiology
Journal by Dunn.
 In 1937, 15 articles on statistical methods
by Austin Bradford Hill, were published in
book form.
 In 1948, a RCT of Streptomycin for
pulmonary tb., was published in which
Bradford Hill has a key influence.
 Then the growth of Statistics in Medicine
from 1952 was a 8-fold increase by 1982.

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introductoin to Biostatistics ( 1st and 2nd lec ).ppt

  • 2. In-silico analysis  Reduce cost  Reduce time  Improve quality  Optimization of M4s
  • 3. Analysis and interpretation of data?? Data Analytics: DOE, AQbD Biostatics: Statistical Bioinformatics: Computational tools Schrödinger, AutoDock, MOE
  • 4. Biostatistician Role: Applying statistical methods and mathematical principles to analyze and evaluate research data in health sciences, then providing explanations and recommendations as a result of research. They present their findings to policymakers, health officials, and other government officials or CEOs to assist them in making public health decisions. Ex: Analyze the effectiveness of new drugs and forecast health outcomes (Stable, Effective, ADME) Using quantitative skills and statistical tools, they evaluate the data, analyze trends, and predict outcomes. Positions: Universities, hospitals, government organizations, research facilities, instrumentation firms and pharmaceutical companies. Salaries: 30,000K to 1lac,
  • 5. How to become ????? bachelor and Master's degree SAS programming language Skills???? Analytical, scientific, Statistical, mathematical, computer, management, communication Software SAS Minitab Statistical Software OriginPro Prism Python R Winonlin
  • 6.  “Statistics is the science which deals with collection, classification and tabulation of numerical facts as the basis for explanation, description and comparison of phenomenon”.
  • 7. “BIOSTATISICS”  The methods used in dealing with statistics in the fields of medicine, biology and public health for planning, conducting and analyzing data which arise in investigations of these branches.
  • 8. Douglas Altman Ronald Fisher Karl Pearson C.R. Rao Father of Biostat
  • 10. How to use bio-statics  Interest on research  Generate hypothesis  Design protocol  Collection data/Litt survey  Analyze the data  Descriptive statics  Statistical inference
  • 11. Descriptive statistics helps to describe and organize known data using charts, bar graphs/patterns of group Inferential statistics aims at making inferences and generalizations about the population data. Central tendency: central position of the data Dispersion: spread out the data
  • 13. How to apply these ?????
  • 14. Relation between sample and population
  • 15.  It is like a scientific guess to learn new things.  A scientific hypothesis that has been verified through scientific experiment and research  It’s an idea or prediction that scientists predict before they do experiments.  They use it to guess what might happen and then test it to see if they are right or wrong. Hypothesis
  • 16. Hypothesis: Prediction Hypothesis testing, sometimes called significance testing, is an act in statistics whereby an analyst tests an assumption regarding a population parameter. The methodology employed by the analyst depends on the nature of the data used and the reason for the analysis. Null hypothesis-H0 : no significant or statistical relationship Alternative hypothesis-H1 : significant or statistical relationship significant or statistical relationships Claim/Assumption on population or sample
  • 17. Example: Paracetamol Sample/Population: Tablet, Syrup Measurement variables: Assay, Stability  1 Sample Vs 1 Variable (Tablet Vs Assay)  1 Sample Vs 2 Variables (Tablet Vs Assay, Stability)  2 samples Vs 1 Variable (Tab, Syrup Vs Assay)  2 samples Vs 2 Variables (Tab, Syrup Vs Assay, stability)
  • 19.
  • 20. Basis
  • 21. Sources of Medical Uncertainties 1. Intrinsic due to biological, environmental and sampling factors 2. Natural variation among methods, observers, instruments etc. 3. Errors in measurement or assessment or errors in knowledge 4. Incomplete knowledge
  • 22. Intrinsic variation as a source of medical uncertainties  Biological due to age, gender, heredity, parity, height, weight, etc. Also due to variation in anatomical, physiological and biochemical parameters  Environmental due to nutrition, smoking, pollution, facilities of water and sanitation, road traffic, legislation, stress and strains etc.,  Sampling fluctuations because the entire world cannot be studied and at least future cases can never be included  Chance variation due to unknown or complex to comprehend factors
  • 23. Natural variation despite best care as a source of uncertainties  In assessment of any medical parameter  Due to partial compliance by the patients  Due to incomplete information in conditions such as the patient in coma
  • 24. Medical Errors that cause Uncertainties  Carelessness of the providers such as physicians, surgeons, nursing staff, radiographers and pharmacists.  Errors in methods such as in using incorrect quantity or quality of chemicals and reagents, misinterpretation of ECG, using inappropriate diagnostic tools, misrecording of information etc.  Instrument error due to use of non-standardized or faulty instrument and improper use of a right instrument.  Not collecting full information  Inconsistent response by the patients or other subjects under evaluation
  • 25. Incomplete knowledge as a source of Uncertainties  Diagnostic, therapeutic and prognostic uncertainties due to lack of knowledge  Predictive uncertainties such as in survival duration of a patient of cancer  Other uncertainties such as how to measure positive health
  • 26. Biostatistics is the science that helps in managing medical uncertainties
  • 27. Reasons to know about biostatistics:  Medicine is becoming increasingly quantitative.  The planning, conduct and interpretation of much of medical research are becoming increasingly reliant on the statistical methodology.  Statistics pervades the medical literature.
  • 28. CLINICAL MEDICINE  Documentation of medical history of diseases.  Planning and conduct of clinical studies.  Evaluating the merits of different procedures.  In providing methods for definition of “normal” and “abnormal”.
  • 29. Role of Biostatistics in patient care  In increasing awareness regarding diagnostic, therapeutic and prognostic uncertainties and providing rules of probability to delineate those uncertainties  In providing methods to integrate chances with value judgments that could be most beneficial to patient  In providing methods such as sensitivity-specificity and predictivities that help choose valid tests for patient assessment  In providing tools such as scoring system and expert system that can help reduce epistemic uncertainties
  • 30. PREVENTIVE MEDICINE  To provide the magnitude of any health problem in the community.  To find out the basic factors underlying the ill-health.  To evaluate the health programs which was introduced in the community (success/failure).  To introduce and promote health legislation.
  • 31. Role of Biostatics in Health Planning and Evaluation  In carrying out a valid and reliable health situation analysis, including in proper summarization and interpretation of data.  In proper evaluation of the achievements and failures of a health programme
  • 32. Role of Biostatistics in Medical Research  In developing a research design that can minimize the impact of uncertainties  In assessing reliability and validity of tools and instruments to collect the infromation  In proper analysis of data
  • 33. Example: Evaluation of Penicillin (treatment A) vs Penicillin & Chloramphenicol (treatment B) for treating bacterial pneumonia in children< 2 yrs.  What is the sample size needed to demonstrate the significance of one group against other ?  Is treatment A is better than treatment B or vice versa ?  If so, how much better ?  What is the normal variation in clinical measurement ? (mild, moderate & severe) ?  How reliable and valid is the measurement ? (clinical & radiological) ?  What is the magnitude and effect of laboratory and technical error ?  How does one interpret abnormal values ?
  • 34. WHAT DOES STAISTICS COVER ? Planning Design Execution (Data collection) Data Processing Data analysis Presentation Interpretation Publication
  • 35. BASIC CONCEPTS Data : Set of values of one or more variables recorded on one or more observational units Categories of data 1. Primary data: observation, questionnaire, record form, interviews, survey, 2. Secondary data: census, medical record,registry Sources of data 1. Routinely kept records 2. Surveys (census) 3. Experiments 4. External source
  • 36. TYPES OF DATA  QUALITATIVE DATA  DISCRETE QUANTITATIVE  CONTINOUS QUANTITATIVE
  • 37. QUALITATIVE Nominal Example: Sex ( M, F) Exam result (P, F) Blood Group (A,B, O or AB) Color of Eyes (blue, green, brown, black)
  • 38. ORDINAL Example: Response to treatment (poor, fair, good) Severity of disease (mild, moderate, severe) Income status (low, middle, high)
  • 39. QUANTITATIVE (DISCRETE) Example: The no. of family members The no. of heart beats The no. of admissions in a day QUANTITATIVE (CONTINOUS) Example: Height, Weight, Age, BP, Serum Cholesterol and BMI
  • 40. Discrete data -- Gaps between possible values Continuous data -- Theoretically, no gaps between possible values Number of Children Hb
  • 41. CONTINUOUS DATA QUALITATIVE DATA wt. (in Kg.) : under wt, normal & over wt. Ht. (in cm.): short, medium & tall
  • 42. hospital length of stay Number Percent 1 – 3 days 5891 43.3 4 – 7 days 3489 25.6 2 weeks 2449 18.0 3 weeks 813 6.0 1 month 417 3.1 More than 1 month 545 4.0 Total 14604 100.0 Mean = 7.85 SE = 0.10 Table 1 Distribution of blunt injured patients according to hospital length of stay
  • 43. Scale of measurement Qualitative variable: A categorical variable Nominal (classificatory) scale - gender, marital status, race Ordinal (ranking) scale - severity scale, good/better/best
  • 44. Scale of measurement Quantitative variable: A numerical variable: discrete; continuous Interval scale : Data is placed in meaningful intervals and order. The unit of measurement are arbitrary. - Temperature (37º C -- 36º C; 38º C-- 37º C are equal) and No implication of ratio (30º C is not twice as hot as 15º C)
  • 45. Ratio scale: Data is presented in frequency distribution in logical order. A meaningful ratio exists. - Age, weight, height, pulse rate - pulse rate of 120 is twice as fast as 60 - person with weight of 80kg is twice as heavy as the one with weight of 40 kg.
  • 46. Scales of Measure  Nominal – qualitative classification of equal value: gender, race, color, city  Ordinal - qualitative classification which can be rank ordered: socioeconomic status of families  Interval - Numerical or quantitative data: can be rank ordered and sizes compared : temperature  Ratio - Quantitative interval data along with ratio: time, age.
  • 47. CLINIMETRICS A science called clinimetrics in which qualities are converted to meaningful quantities by using the scoring system. Examples: (1) Apgar score based on appearance, pulse, grimace, activity and respiration is used for neonatal prognosis. (2) Smoking Index: no. of cigarettes, duration, filter or not, whether pipe, cigar etc., (3) APACHE( Acute Physiology and Chronic Health Evaluation) score: to quantify the severity of condition of a patient
  • 48.
  • 49.
  • 50.
  • 51. INVESTIGATION Data Colllection Data Presentation Tabulation Diagrams Graphs Descriptive Statistics Measures of Location Measures of Dispersion Measures of Skewness & Kurtosis Inferential Statistiscs Estimation Hypothesis Testing Ponit estimate Inteval estimate Univariate analysis Multivariate analysis
  • 52. Frequency Distributions  data distribution – pattern of variability.  the center of a distribution  the ranges  the shapes  simple frequency distributions  grouped frequency distributions  midpoint
  • 53. Patien t No Hb (g/dl) Patien t No Hb (g/dl) Patien t No Hb (g/dl) 1 12.0 11 11.2 21 14.9 2 11.9 12 13.6 22 12.2 3 11.5 13 10.8 23 12.2 4 14.2 14 12.3 24 11.4 5 12.3 15 12.3 25 10.7 6 13.0 16 15.7 26 12.5 7 10.5 17 12.6 27 11.8 8 12.8 18 9.1 28 15.1 9 13.2 19 12.9 29 13.4 10 11.2 20 14.6 30 13.1 Tabulate the hemoglobin values of 30 adult male patients listed below
  • 54. Steps for making a table Step1 Find Minimum (9.1) & Maximum (15.7) Step2 Calculate difference 15.7 – 9.1 = 6.6 Step3 Decide the number and width of the classes (7 c.l) 9.0 -9.9, 10.0-10.9,---- Step4 Prepare dummy table – Hb (g/dl), Tally mark, No. patients
  • 55. Hb (g/dl) Tall marks No. patients 9.0 – 9.9 10.0 – 10.9 11.0 – 11.9 12.0 – 12.9 13.0 – 13.9 14.0 – 14.9 15.0 – 15.9 Total Hb (g/dl) Tall marks No. patients 9.0 – 9.9 10.0 – 10.9 11.0 – 11.9 12.0 – 12.9 13.0 – 13.9 14.0 – 14.9 15.0 – 15.9 l lll lll llll llll llll lll ll 1 3 6 10 5 3 2 Total - 30 DUMMY TABLE Tall Marks TABLE
  • 56. Hb (g/dl) No. of patients 9.0 – 9.9 10.0 – 10.9 11.0 – 11.9 12.0 – 12.9 13.0 – 13.9 14.0 – 14.9 15.0 – 15.9 1 3 6 10 5 3 2 Total 30 Table Frequency distribution of 30 adult male patients by Hb
  • 57. Table Frequency distribution of adult patients by Hb and gender: Hb (g/dl) Gender Total Male Female <9.0 9.0 – 9.9 10.0 – 10.9 11.0 – 11.9 12.0 – 12.9 13.0 – 13.9 14.0 – 14.9 15.0 – 15.9 0 1 3 6 10 5 3 2 2 3 5 8 6 4 2 0 2 4 8 14 16 9 5 2 Total 30 30 60
  • 58. Elements of a Table Ideal table should have Number Title Column headings Foot-notes Number – Table number for identification in a report Title,place - Describe the body of the table, variables, Time period (What, how classified, where and when) Column - Variable name, No. , Percentages (%), etc., Heading Foot-note(s) - to describe some column/row headings, special cells, source, etc.,
  • 59. Death rate (/1000 per annum) No. of divisions 7.0-7.9 4 (3.3) 8.0 - 8.9 13 (10.8) 9.0 - 9.9 20 (16.7) 10.0 - 10.9 27 (22.5) 11.0 - 11.9 18 (15.0) 12.0 - 12.9 11 (0.2) 13.0 - 13.9 11 (9.2) 14.0 - 14.9 6 (5.0) 15.0 - 15.9 2 (1.7) 16.0 - 16.9 4 (3.3) 17.0 - 18.9 3 (2.5) 19.0 + 1 (0.8) Total 120 (100.0) Table II. Distribution of 120 (Madras) Corporation divisions according to annual death rate based on registered deaths in 1975 and 1976 Figures in parentheses indicate percentages
  • 60. DIAGRAMS/GRAPHS Discrete data --- Bar charts (one or two groups) Continuous data --- Histogram --- Frequency polygon (curve) --- Stem-and –leaf plot --- Box-and-whisker plot
  • 61. Example data 68 63 42 27 30 36 28 32 79 27 22 28 24 25 44 65 43 25 74 51 36 42 28 31 28 25 45 12 57 51 12 32 49 38 42 27 31 50 38 21 16 24 64 47 23 22 43 27 49 28 23 19 11 52 46 31 30 43 49 12
  • 62. Histogram Figure 1 Histogram of ages of 60 subjects 11.5 21.5 31.5 41.5 51.5 61.5 71.5 0 10 20 Age Frequency
  • 64. Example data 68 63 42 27 30 36 28 32 79 27 22 28 24 25 44 65 43 25 74 51 36 42 28 31 28 25 45 12 57 51 12 32 49 38 42 27 31 50 38 21 16 24 64 47 23 22 43 27 49 28 23 19 11 52 46 31 30 43 49 12
  • 65. Stem and leaf plot Stem-and-leaf of Age N = 60 Leaf Unit = 1.0 6 1 122269 19 2 1223344555777788888 (11) 3 00111226688 13 4 2223334567999 5 5 01127 4 6 3458 2 7 49
  • 67. Descriptive statistics report: Boxplot - minimum score - maximum score - lower quartile - upper quartile - median - mean - the skew of the distribution: positive skew: mean > median & high-score whisker is longer negative skew: mean < median & low-score whisker is longer
  • 68. 10% 20% 70% Mild Moderate Severe The prevalence of different degree of Hypertension in the population Pie Chart •Circular diagram – total -100% •Divided into segments each representing a category •Decide adjacent category •The amount for each category is proportional to slice of the pie
  • 69. Bar Graphs 9 12 20 16 12 8 20 0 5 10 15 20 25 Smo Alc Chol DM HTN No Exer F-H Riskfactor Number The distribution of risk factor among cases with Cardio vascular Diseases Heights of the bar indicates frequency Frequency in the Y axis and categories of variable in the X axis The bars should be of equal width and no touching the other bars
  • 70. HIV cases enrolment in USA by gender 0 2 4 6 8 10 12 1986 1987 1988 1989 1990 1991 1992 Year Enrollment (hundred) Men Women Bar chart
  • 71. HIV cases Enrollment in USA by gender 0 2 4 6 8 10 12 14 16 18 1986 1987 1988 1989 1990 1991 1992 Year Enrollment (Thousands) Women Men Stocked bar chart
  • 72. Graphic Presentation of Data the histogram (quantitative data) the bar graph (qualitative data) the frequency polygon (quantitative data)
  • 73.
  • 74. General rules for designing graphs  A graph should have a self-explanatory legend  A graph should help reader to understand data  Axis labeled, units of measurement indicated  Scales important. Start with zero (otherwise // break)  Avoid graphs with three-dimensional impression, it may be misleading (reader visualize less easily
  • 76. Origin and development of statistics in Medical Research  In 1929 a huge paper on application of statistics was published in Physiology Journal by Dunn.  In 1937, 15 articles on statistical methods by Austin Bradford Hill, were published in book form.  In 1948, a RCT of Streptomycin for pulmonary tb., was published in which Bradford Hill has a key influence.  Then the growth of Statistics in Medicine from 1952 was a 8-fold increase by 1982.