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Maths
Statistics
Unit 1: Sampling
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Cards (28)
What is a population?
The
whole set
of
items
that are of
interest
What is a census?
It
measures
every member of a
population
What is a sample?
A
selection
of
observations
taken from a
subset
of a
population
to find out more about the population as a
whole.
What are some advantages of a census?
It involves the whole
population
so is a
large
amount of
data
It will give very
accurate
results
What are some disadvantages of a census?
It is
time consuming
and
expensive
It cannot be used when the
testing
process
destroys
the item
Hard to process a
large
amount of
data
What are some advantages of a sample?
Less
time consuming
and
expensive
compared to a census
Less
data
to
process
Less people needed to
respond
What are some disadvantages to a sample?
The data may not be as
accurate
The sample may not be
large
enough to give information about small
sub-groups
The size of the sample can affect the
validity
of the conclusions
The size of the sample depends on the required
accuracy
and available resources
The
larger
the sample, the
more
accurate
If the population is varied, then a large sample is needed than when it is uniform
Different samples can lead to different conclusions due to natural variation in a population
What is the definition of sampling units?
Individual units of
a
population
What is a sampling frame?
Sampling units that are named and numbered to form a list
What is a simple random sample?
Is when
everyone
in the sample has a
chance
at being
selected
How do you carry out a simple random sample?
You need a
sampling
frame
Everyone should be allocated a
unique number
To choose numbers randomly you can use a
random number generator
What are the advantages of a simple random sample?
Free of
bias
Easy
and
cheap
Everyone has an
equal
chance of being selected
What are the disadvantages of a simple random sample?
Not suitable for a
larger
population
Sampling
frame is needed
What is systematic sampling?
When members are chosen at
regular intervals
from an
ordered list
What are the advantages of systematic sampling?
Simple
and
quick
to use
Suitable for a
large
sample
What are the disadvantages of a systematic sample?
Sampling
frame is needed
Possible
bias
if the sampling frame is not random
What is a
stratified
sample?
Population
is divided into groups e.g males and females
Random
sample is taken from each group so it reflects the population as a whole and removes
bias
What is the equation needed for stratified sampling?
strata/total
*
sample size
What are the disadvantages of a stratified sample?
Population must be classified into groups which is time consuming
Because selection of groups is random, a sampling frame is needed and it is not suitable for a large population
What are the advantages of a stratified sample?
Sample
accurately
reflects
population
Guarantees
proportional representation
of groups
What is opportunity sampling?
The sample is taken from people
available
at the time and who fit the
criteria
needed
e.g speaking with people leaving a
supermarket
to get their
opinions
What are the advantages with the opportunity sample?
Easy to carry out
Cheap
What are the disadvantages of the opportunity sample?
Bias
People might not want to be
interviewed
Unlikely to give a
proportional
sample
What is
quota sampling
?
Researcher selects a sample that reflects the
characteristics
of the group
e.g interviewer might meet with factory members to determine characteristics
What are the advantages of quota sampling?
Allows a
small sample
to represent the whole
population
No sampling frame is needed
Quick
and
inexpensive
What are the disadvantages of quota sampling?
Bias
Some people might
not want to take part
How can you carry out a stratified sample?
To get the
first data point
you use a
random number generator
Then you can choose every nth data point after that