2. BiostatisticsBiostatistics
The application of statistics to a wide range of topics
in biology.
some statistical methods are more heavily
used in health applications than elsewhere
e.g : survival analysis, longitudinal data
analysis
3. BiostatisticsBiostatistics
It is the science which deals with development and
application of the most appropriate methods for
the:
Collection of data.
Presentation of the collected data.
Analysis and interpretation of the results.
Making decisions on the basis of such analysis
4. Statistics
The study and use of theory and methods for the analysis of data arising from
random processes The study and use of theory and methods for the analysis of
data arising from random processes
Statistics provides some of the most fundamental tools and techniques of the
scientific method
• forming hypotheses
• designing experiments and observational studies
• gathering data
• summarizing data
• drawing inferences from data e g testing hypotheses
5. Other definitions for “Statistics”
Frequently used in referral to recorded data
Denotes characteristics calculated for a set of data :
sample mean
6. Role of Biostatisticians
To guide the design of an experiment or survey
prior to data collection
To analyze data using proper statistical
procedures and techniques
To present and interpret the results to researchers
and other decision makers
10. Data
Data are observations of random
variables made on the elements of a
population or sample.
Data are the
1.Quantities -numbers or
2.Qualities -attributes
are measured or observed that are to be collected
and or analyzed
11. Numerical presentationNumerical presentation
Graphical presentationGraphical presentation
Mathematical presentationMathematical presentation
Methods of presentation of data
12. 1- Numerical presentation
Tabular presentation (simple – complex)
Simple frequency distribution Table (S.F.D.T.)
Title
Name of variableName of variable
(Units of variable)(Units of variable)
FrequencyFrequency %%
--
- Categories- Categories
--
TotalTotal
13. Table (I): Distribution of 50 patients at the surgical
department of Alexandria hospital in May 2008
according to their ABO blood groups
BloodBlood
groupgroup
FrequencyFrequency %%
AA
BB
ABAB
OO
1212
1818
55
1515
2424
3636
1010
3030
TotalTotal 5050 100100
14. Table (II): Distribution of 50 patients at the surgical
department of Alexandria hospital in May 2008
according to their age
AgeAge
(years)(years)
FrequencyFrequency %%
20-<3020-<30
30-30-
40-40-
50+50+
1212
1818
55
1515
2424
3636
1010
3030
TotalTotal 5050 100100
15. Complex frequency distribution Table
Table (III): Distribution of 20 lung cancer patients at the chest
department of Alexandria hospital and 40 controls in May 2008
according to smoking
Smoking
Lung cancer
Total
Cases Control
No. % No. % No. %
Smoker 15 75% 8 20% 23 38.33
Non
smoker
5 25% 32 80% 37 61.67
Total 20 100 40 100 60 100
16. Complex frequency distribution Table
Table (IV): Distribution of 60 patients at the chest department of
Alexandria hospital in May 2008 according to smoking & lung
cancer
Smoking
Lung cancer
Total
positive negative
No. % No. % No. %
Smoker 15 65.2 8 34.8 23 100
Non
smoker
5 13.5 32 86.5 37 100
Total 20 33.3 40 66.7 60 100
17. 2- Graphical presentation
Graphs drawn using Cartesian
coordinates
• Line graph
• Frequency polygon
• Frequency curve
• Histogram
• Bar graph
• Scatter plot
Pie chart
Statistical maps
rules
18. Line Graph
A line graph is preferred when emphasis isA line graph is preferred when emphasis is
on the trend of the time series over theon the trend of the time series over the
period rather than on the comparison ofperiod rather than on the comparison of
relative size of the different figures in therelative size of the different figures in the
series.series.
19. Line Graph
0
10
20
30
40
50
60
1960 1970 1980 1990 2000
Year
MMR/1000
Year MMR
1960 50
1970 45
1980 26
1990 15
2000 12
Figure (1): Maternal mortality rate of
(country), 1960-2000
20. Graphical representation
HistogramHistogram
Histogram is specialHistogram is special
kind of bar diagramkind of bar diagram
used to present aused to present a
frequency distributionfrequency distribution
of a characteristicof a characteristic
measured on ameasured on a
continuous scalecontinuous scale
Frequency PolygonFrequency Polygon
A frequency polygon is aA frequency polygon is a
variation of histogram.variation of histogram.
Instead rectangles areInstead rectangles are
erected over the intervals,erected over the intervals,
points are plotted at thepoints are plotted at the
midpoints of the tops of themidpoints of the tops of the
corresponding rectangles incorresponding rectangles in
a histogram. Points area histogram. Points are
joined by straight line.joined by straight line.
22. Frequency polygon
Age
Sex
M-P
M F
20- (12%) (10%) 25
30- (36%) (30%) 35
40- (8%) (25%) 45
50- (16%) (15%) 55
60-70 (8%) (20%) 65
0
5
10
15
20
25
30
35
40
25 35 45 55 65
Age
%
Males Females
Figure (2): Distribution of 45 patients at (place)
, in (time) by age and sex
25. Presentation by space:
Data are classified by location of occurance
BAR CHARTBAR CHART
Bar diagram isBar diagram is
commonly used tocommonly used to
provide visualprovide visual
comparison of figurescomparison of figures
in a time seriesin a time series
MULTIPLE BAR CHART.MULTIPLE BAR CHART.
This is another type of barThis is another type of bar
diagram used fordiagram used for
comparison purpose.comparison purpose.
31. 3-Mathematical presentation
Summery statistics
Measures of locationMeasures of location
1- Measures of central tendency1- Measures of central tendency
2- Measures of non central locations2- Measures of non central locations
(Quartiles, Percentiles )(Quartiles, Percentiles )
Measures of dispersionMeasures of dispersion
38. 1- Measures of central tendency (cont.)
MedianMedian
the observation which lies in the middle ofthe observation which lies in the middle of
the ordered observation.the ordered observation.
Summery statistics
44. Measures of dispersion
RangeRange
VarianceVariance
Standard deviationStandard deviation
Semi-interquartile rangeSemi-interquartile range
Coefficient of variationCoefficient of variation
““Standard error”Standard error”
45. Range
The range of group of observations is theThe range of group of observations is the
interval between the smallest and the biggestinterval between the smallest and the biggest
observation.observation.
Range = Xmax-Xmin= A-BRange = Xmax-Xmin= A-B
46. Variance
An amount of difference or change in theAn amount of difference or change in the
observations or in dataobservations or in data
The square of the standard deviationThe square of the standard deviation
Varience = S squareVarience = S square
47. Standard Deviation
The standard deviation is the square root ofThe standard deviation is the square root of
the average of the squared deviations of thethe average of the squared deviations of the
observations from the arithmatic meanobservations from the arithmatic mean
Standard Deviation =Standard Deviation =
