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SYSTEMATIC
AND
STRATIFIED SAMPLING
Lami M.C
INTRODUCTION
• Statistics deal with large numbers and it does not study
a single figure. All the items under consideration in any
field of inquiry constitute a Universe; it is important to
know the whole population which could be known
through census method. But for practicality, sometimes
it is possible to obtain sufficiently accurate results by
studying only a part of the total population.
Population
S
A
M
P
L
I
N
G
Sample
Probability
sampling
Non-probability
sampling
It provides a scientific technique of
drawing samples according to some
laws of chance in which each unit
has some definite pre-assigned
probability of being chosen.
It is based on the personal
judgment. A desired number of
sample units are selected
deliberately or purposively.
PROBABILITY SAMPLING
•Simple Random sampling
•Systematic sampling
•Stratified sampling
•Cluster sampling
•Multi-stage sampling
•Area sampling
Systematic (random) sampling
• It is also called Nth name selection technique.
• It is an improvement over the simple random
sampling.
• This method requires the complete information
about the population. There should be a list of
information of all the individuals of the
population.
After the required sample has been calculated,
every Nth record is selected from a list of population
members.
PROCEDURE
•It is obtained by selecting one unit on a
random basis and choosing additional
elementary units at evenly spaced intervals
until the desired number of units are
obtained.
STEPS
1. Find out our population (N)
2. Decide our sample (n)
3. List down the names of the population
4. Draw sample using formula (N/n)
5. Randomly select one number in between
the obtained score.
6. From that number choose additional
elementary units at evenly spaced
intervals (obtained score) until the desired
number of units are obtained.
N=16
n=4
(N/n)
=16/4
k =4
Sl
#
name Sl
#
name
1 Anitha kumari 9 Praseeda
2 Apeksha 10 Rajeswari
3 Jisha 11 Rashmi
4 Mangalagouri 12 Roopakala
5 Mufeeda 13 Saumya
6 Narayanan 14 Seena
7 Nirmal 15 Shajeev
8 Nivedita 16 Shridevi
Mangala
Nivedita
Roopakala
Shreedevi
ADVANTAGES
•This is a simple method of selecting a
sample.
•It reduces the field cost.
•It is simple method of selecting a sample.
•There is only a little chance of bias creeping
into the sample.
LIMITATIONS
•It is not suitable for a large sized universe.
•Knowledge of the population is necessary
which is most of the time difficult.
•Cannot ensure representativeness.
STRATIFIED SAMPLING
Stratified sampling
•It is an improvement over the systematic random
sampling method.
•When employing this technique, the researcher
divides his population into Strata on the basis of
some characteristics and from each of these
smaller homogeneous groups or strata draws at
random a predetermined number of units.
•Researcher should choose characteristic or
criterion which seems to be relevant in his
research work.
•It is the commonly used sampling technique.
TYPES
1. Disproportionate stratified sampling
it means the size of sample in each unit is not
proportionate to the size of the other unit but
depends upon considerations involving personal
judgment and convenience. This is less efficient
for determining population characteristics.
2. Proportionate sampling
it refers to the selection from each sampling
unit of sample that is proportionate to the size of
the other unit.
3. Optimum allocation stratified sampling
It is representative as well as comprehensive
than other two. It refers to selecting units from
each stratum should be in proportion to the
corresponding stratum of the population. Thus
sample obtained is known as optimum allocation
stratified sample.
PROCEDURE
POPULATION
DECIDE YOUR STRATA
URBAN BOYS
RURAL BOYS
RURAL GIRLS
URBAN GIRLS
PROCEDURE
•A population can be divided into different
groups or strata; based on the characteristics
or variables. (eg:- income, education, literacy
so on)
•A stratified sample is obtained by
independently selecting a separate sample
from each population stratum.
•Then randomly select from each stratum a
given number of units which may be based
on proportion. The size may be proportional
or disproportional.
ADVANTAGES
•It reduces sampling error
•It is a good representative of the population
•It is an objective method of sampling
•It is more effective for comparing strata.
LIMITATIONS
•It needs more attention.
•It is time consuming.
•It is difficult for the researcher to decide the
relevant criterion for stratification
•Lack of information and faulty classification
CONCLUSION
•In research, the most important step
is to decide on our sample of the
study. If the sample itself is faulty,
then our study also may go wrong or
prove to be faulty. Thus in order not to
end up in nowhere, it is better to
decide on the appropriate sampling,
keeping in mind the needed
criterion/criteria of the sample.
stratified& systematic Lami.pptx

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stratified& systematic Lami.pptx

  • 1.
  • 3. INTRODUCTION • Statistics deal with large numbers and it does not study a single figure. All the items under consideration in any field of inquiry constitute a Universe; it is important to know the whole population which could be known through census method. But for practicality, sometimes it is possible to obtain sufficiently accurate results by studying only a part of the total population.
  • 4. Population S A M P L I N G Sample Probability sampling Non-probability sampling It provides a scientific technique of drawing samples according to some laws of chance in which each unit has some definite pre-assigned probability of being chosen. It is based on the personal judgment. A desired number of sample units are selected deliberately or purposively.
  • 5. PROBABILITY SAMPLING •Simple Random sampling •Systematic sampling •Stratified sampling •Cluster sampling •Multi-stage sampling •Area sampling
  • 6. Systematic (random) sampling • It is also called Nth name selection technique. • It is an improvement over the simple random sampling. • This method requires the complete information about the population. There should be a list of information of all the individuals of the population. After the required sample has been calculated, every Nth record is selected from a list of population members.
  • 7. PROCEDURE •It is obtained by selecting one unit on a random basis and choosing additional elementary units at evenly spaced intervals until the desired number of units are obtained.
  • 8. STEPS 1. Find out our population (N) 2. Decide our sample (n) 3. List down the names of the population 4. Draw sample using formula (N/n) 5. Randomly select one number in between the obtained score. 6. From that number choose additional elementary units at evenly spaced intervals (obtained score) until the desired number of units are obtained.
  • 9. N=16 n=4 (N/n) =16/4 k =4 Sl # name Sl # name 1 Anitha kumari 9 Praseeda 2 Apeksha 10 Rajeswari 3 Jisha 11 Rashmi 4 Mangalagouri 12 Roopakala 5 Mufeeda 13 Saumya 6 Narayanan 14 Seena 7 Nirmal 15 Shajeev 8 Nivedita 16 Shridevi Mangala Nivedita Roopakala Shreedevi
  • 10. ADVANTAGES •This is a simple method of selecting a sample. •It reduces the field cost. •It is simple method of selecting a sample. •There is only a little chance of bias creeping into the sample.
  • 11. LIMITATIONS •It is not suitable for a large sized universe. •Knowledge of the population is necessary which is most of the time difficult. •Cannot ensure representativeness.
  • 13. Stratified sampling •It is an improvement over the systematic random sampling method. •When employing this technique, the researcher divides his population into Strata on the basis of some characteristics and from each of these smaller homogeneous groups or strata draws at random a predetermined number of units. •Researcher should choose characteristic or criterion which seems to be relevant in his research work. •It is the commonly used sampling technique.
  • 14. TYPES 1. Disproportionate stratified sampling it means the size of sample in each unit is not proportionate to the size of the other unit but depends upon considerations involving personal judgment and convenience. This is less efficient for determining population characteristics. 2. Proportionate sampling it refers to the selection from each sampling unit of sample that is proportionate to the size of the other unit.
  • 15. 3. Optimum allocation stratified sampling It is representative as well as comprehensive than other two. It refers to selecting units from each stratum should be in proportion to the corresponding stratum of the population. Thus sample obtained is known as optimum allocation stratified sample.
  • 19.
  • 20.
  • 21. URBAN BOYS RURAL BOYS RURAL GIRLS URBAN GIRLS
  • 22. PROCEDURE •A population can be divided into different groups or strata; based on the characteristics or variables. (eg:- income, education, literacy so on) •A stratified sample is obtained by independently selecting a separate sample from each population stratum. •Then randomly select from each stratum a given number of units which may be based on proportion. The size may be proportional or disproportional.
  • 23. ADVANTAGES •It reduces sampling error •It is a good representative of the population •It is an objective method of sampling •It is more effective for comparing strata.
  • 24. LIMITATIONS •It needs more attention. •It is time consuming. •It is difficult for the researcher to decide the relevant criterion for stratification •Lack of information and faulty classification
  • 25. CONCLUSION •In research, the most important step is to decide on our sample of the study. If the sample itself is faulty, then our study also may go wrong or prove to be faulty. Thus in order not to end up in nowhere, it is better to decide on the appropriate sampling, keeping in mind the needed criterion/criteria of the sample.