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M.Prasad Naidu
MSc Medical Biochemistry, Ph.D,.
•Dynamic
nature of this
U n i v e r s e
this very continuous change in Nature
brings
- uncertainty
and
- variability
in each and every sphere of the Universe
This
uncertainty and variability
prevalent in nature makes it
difficult to satisfy our inner-urge of
-acquiring knowledge
Encountering the
uncertainty and variability
- thereby understanding their role
in
- rational explanation of the facts
becomes the basic feature of
sciences
We by no mean can
control or over-power
the factor of uncertainty but
capable of measuring it in terms
of
Probability
This measurement helps a lot
- in experimentation and
- making out inferences
with minimum interference of
the chance or luck factor
. It is true in the case of
variability also,
which once again can’t be eliminated but easily
measurable.
The measures of deviation & central tendency play a
key role in all research.
Biological Observations
Though this universe is full of
uncertainty and variability,
a large set of experimental / biological
observations always tend towards a
Normal distribution.
Inferential Statistics
This unique behavior of data
is the key to entire
inferential statistics.
such as;
Normal
Binomial
Poisson
Rectangular
like
Chi-
square, Studen
t’s ‘ t’
and ‘ F’
Mean
95.5%
99.7%
The role of Central tendency
and Deviation
Population & Sampling Distributions
frequently used for probability
calculations and also for
 testing the hypotheses
through various tests of
significance
Relativity
 Understanding
the Relativity Component
hidden invariably in most of the scientific
explanations is still more important
Most of the qualitative characteristics involved
in experimentation either as independent or
dependent variables, are measured in
relative terms
- Defining absolute zero pain, stress or
measuring health and disease
or
Even quantitative variables like temperature
- where absolute zero is difficult
to know,
are the examples of inherent relativity in
measurements and require special attention
while making out inferences based on such
measurements.
Inductive reasoning:
Repeating the experiments essentially
under the same conditions and
keenly observing the outcome each
time and
relating them to derive a fact is the
system followed in inductive reasoning
in science
Deductive Reasoning:
‘Pure Mathematics’ is an example
of ‘formal science’, or deductive
reasoning
where the conclusions are derived
on the basis of existing
facts, definitions, theorems, and
axioms.
The Principles and
decision-making
If inductive reasoning helps us in
developing the principles that can
be generalized,
the deductive reasoning guides us
in generalized decision-making.
Nominal scale
Ordinal scale
Interval scale
Ratio scale
Error and Bias
No experimentation or observation
can be totally free from errors and
escape from bias.
But we must identify and recognize
them for their elimination as for as
possible or to control and minimize
the effect
-Measurements even being valid,
if lack in precision and accuracy, irrespective of
the magnitude or quantity of deviation from the
intended measurement, are called errors.
- One sided repeated errors or
systematic errors are called bias.
- Selection or allocation biases,
- Measurement bias,
- Instrument bias,
- Inter & intra investigator or
- Observer’s bias,
- Misclassification bias etc.
are some of the frequently encountered
bias
We know that the techniques of
blinding,
randomization,
replication,
standardization,
selection of controls and
to a great extent the experimental designs
do help us to overcome some of them.
A variable takes on or
can assume various
values
But the same quantity
may be a constant in
some situation and a
variable in another
Classification
 The variables may broadly be classified in a number
of ways such as,
continuous & discrete,
qualitative & quantitative,
random & non-random etc.
terminologies and
role of variables
Various models use different
terminologies to explain the
role and status of variables
terminologies and
role of variables
 For example in epidemiology we use the
terms ‘independent, dependent and
intervening variables’; or
 parallel to that ‘cause, effect and
confounding / interacting variables’;
 in certain situations the same are called
‘input, process and output variables’;
terminologies and
role of variables
 In forecasting the nomenclature preferred is
‘predicting, predicted and disturbing
variables’;
 in laboratory situations we pronounce
them as ‘experimental, outcome and chance /
random variables’ and so on.
Changing role of Variables
 A dependent or outcome variable can
serve as an independent or input
variable in another process
Changing role of Variables
 Researchers do experience hundreds of other terms
used invariably to explain very specific role assigned to
a variable in a particular situation, such as,
 pseudo variable, or dummy, proxy, nuisance, substitute,
culprit, treatment, response, extraneous, manipulated
and complex variables etc
Clarity in knowing the variables
 The clarity in knowing the variables of interest
to be considered in a particular study helps a lot
in
 recruitment of research tools, techniques and
methods to be used during experimentation and
 use of statistical tests at the end of the study.
Experimental Designs
The purpose of an experimental design is to enhance the
power of inference making by either;
- eliminating undesired independent variables from the site of
experiment or minimizing their effect during the
experimentation, and
- also to allow the desired independent (or experimental)
variables to their full exploitation for manipulations by the research
investigator
Experimental Designs
 Experimental designs also help in sequencing the
deployment of experimental tools, techniques and
methods.
 completely randomized and randomized block
designs are a few examples.
 Clinical trials with or without randomization and
blinding, self-controlled and without control or
crossover designs are frequently used in clinical
settings.
The Sample and Sampling:
A study of entire population is
impossible in most of the situations.
Sometimes, the study process destroys
(animal sacrifice) or depletes the item
being studied.
In such situations the only alternative
is sample study.
Advantages
sample results are often more
accurate, apart from being
 quick and
 less expensive
 If samples are properly
selected, probability methods can be
used to estimate the error in the
resulting statistics.
 It is this aspect of sampling that
permits investigators to make
probability statements about the
observations in a study
Sample size and sampling error
The sample size has to be directly
proportional to the heterogeneity
in the population,
 whereas, the sampling error is
always inversely proportional to it.
Probability sampling
The techniques of sampling may be
classified as
“Probability sampling” such as;
- Simple random sampling,
- Stratified, cluster, systematic,
- Multi-stage and multi-phase
sampling; and
Non-Probability sampling
such as;
 Convenience sampling,
 Inverse or quota sampling,
 Judgment and purposive sampling etc.
 But non-probability sampling findings are usually
not qualified for any generalizations as they lack to
be representative of the entire population.
Power of a study
It is not only the sample-size
but also the sampling method
equally responsible for
the power of a study.
To summarize
bigger does not always mean
better or
more powerful in making
inferences.
For this reason, investigators
must plan the sample size
appropriate for their study
prior to beginning research

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Uncertainty and Variability in Nature

  • 1. M.Prasad Naidu MSc Medical Biochemistry, Ph.D,.
  • 3. this very continuous change in Nature brings - uncertainty and - variability in each and every sphere of the Universe
  • 4. This uncertainty and variability prevalent in nature makes it difficult to satisfy our inner-urge of -acquiring knowledge
  • 5. Encountering the uncertainty and variability - thereby understanding their role in - rational explanation of the facts becomes the basic feature of sciences
  • 6. We by no mean can control or over-power the factor of uncertainty but capable of measuring it in terms of Probability
  • 7. This measurement helps a lot - in experimentation and - making out inferences with minimum interference of the chance or luck factor
  • 8. . It is true in the case of variability also, which once again can’t be eliminated but easily measurable. The measures of deviation & central tendency play a key role in all research.
  • 9. Biological Observations Though this universe is full of uncertainty and variability, a large set of experimental / biological observations always tend towards a Normal distribution.
  • 10. Inferential Statistics This unique behavior of data is the key to entire inferential statistics.
  • 13. Mean 95.5% 99.7% The role of Central tendency and Deviation
  • 14. Population & Sampling Distributions frequently used for probability calculations and also for  testing the hypotheses through various tests of significance
  • 15. Relativity  Understanding the Relativity Component hidden invariably in most of the scientific explanations is still more important
  • 16. Most of the qualitative characteristics involved in experimentation either as independent or dependent variables, are measured in relative terms - Defining absolute zero pain, stress or measuring health and disease or
  • 17. Even quantitative variables like temperature - where absolute zero is difficult to know, are the examples of inherent relativity in measurements and require special attention while making out inferences based on such measurements.
  • 18. Inductive reasoning: Repeating the experiments essentially under the same conditions and keenly observing the outcome each time and relating them to derive a fact is the system followed in inductive reasoning in science
  • 19. Deductive Reasoning: ‘Pure Mathematics’ is an example of ‘formal science’, or deductive reasoning where the conclusions are derived on the basis of existing facts, definitions, theorems, and axioms.
  • 20. The Principles and decision-making If inductive reasoning helps us in developing the principles that can be generalized, the deductive reasoning guides us in generalized decision-making.
  • 22. Error and Bias No experimentation or observation can be totally free from errors and escape from bias. But we must identify and recognize them for their elimination as for as possible or to control and minimize the effect
  • 23. -Measurements even being valid, if lack in precision and accuracy, irrespective of the magnitude or quantity of deviation from the intended measurement, are called errors. - One sided repeated errors or systematic errors are called bias.
  • 24. - Selection or allocation biases, - Measurement bias, - Instrument bias, - Inter & intra investigator or - Observer’s bias, - Misclassification bias etc. are some of the frequently encountered bias
  • 25. We know that the techniques of blinding, randomization, replication, standardization, selection of controls and to a great extent the experimental designs do help us to overcome some of them.
  • 26. A variable takes on or can assume various values But the same quantity may be a constant in some situation and a variable in another
  • 27. Classification  The variables may broadly be classified in a number of ways such as, continuous & discrete, qualitative & quantitative, random & non-random etc.
  • 28. terminologies and role of variables Various models use different terminologies to explain the role and status of variables
  • 29. terminologies and role of variables  For example in epidemiology we use the terms ‘independent, dependent and intervening variables’; or  parallel to that ‘cause, effect and confounding / interacting variables’;  in certain situations the same are called ‘input, process and output variables’;
  • 30. terminologies and role of variables  In forecasting the nomenclature preferred is ‘predicting, predicted and disturbing variables’;  in laboratory situations we pronounce them as ‘experimental, outcome and chance / random variables’ and so on.
  • 31. Changing role of Variables  A dependent or outcome variable can serve as an independent or input variable in another process
  • 32. Changing role of Variables  Researchers do experience hundreds of other terms used invariably to explain very specific role assigned to a variable in a particular situation, such as,  pseudo variable, or dummy, proxy, nuisance, substitute, culprit, treatment, response, extraneous, manipulated and complex variables etc
  • 33. Clarity in knowing the variables  The clarity in knowing the variables of interest to be considered in a particular study helps a lot in  recruitment of research tools, techniques and methods to be used during experimentation and  use of statistical tests at the end of the study.
  • 34. Experimental Designs The purpose of an experimental design is to enhance the power of inference making by either; - eliminating undesired independent variables from the site of experiment or minimizing their effect during the experimentation, and - also to allow the desired independent (or experimental) variables to their full exploitation for manipulations by the research investigator
  • 35. Experimental Designs  Experimental designs also help in sequencing the deployment of experimental tools, techniques and methods.  completely randomized and randomized block designs are a few examples.  Clinical trials with or without randomization and blinding, self-controlled and without control or crossover designs are frequently used in clinical settings.
  • 36. The Sample and Sampling: A study of entire population is impossible in most of the situations. Sometimes, the study process destroys (animal sacrifice) or depletes the item being studied. In such situations the only alternative is sample study.
  • 37. Advantages sample results are often more accurate, apart from being  quick and  less expensive
  • 38.  If samples are properly selected, probability methods can be used to estimate the error in the resulting statistics.  It is this aspect of sampling that permits investigators to make probability statements about the observations in a study
  • 39. Sample size and sampling error The sample size has to be directly proportional to the heterogeneity in the population,  whereas, the sampling error is always inversely proportional to it.
  • 40. Probability sampling The techniques of sampling may be classified as “Probability sampling” such as; - Simple random sampling, - Stratified, cluster, systematic, - Multi-stage and multi-phase sampling; and
  • 41. Non-Probability sampling such as;  Convenience sampling,  Inverse or quota sampling,  Judgment and purposive sampling etc.  But non-probability sampling findings are usually not qualified for any generalizations as they lack to be representative of the entire population.
  • 42. Power of a study It is not only the sample-size but also the sampling method equally responsible for the power of a study.
  • 43. To summarize bigger does not always mean better or more powerful in making inferences.
  • 44. For this reason, investigators must plan the sample size appropriate for their study prior to beginning research