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What is a population?
Whole set of things which you are interested in
e.g. teacher wanted to know how long year 11 spent revising population would be year 11
What is a sample?
selected part (subset) of a population
e.g. certain number of year 11 not the whole year
What is a Random Sample?
everyone in the population has an equal chance of being selected
Biased Sample?
sample is not random
Census?
data is collected from every member of a population
advantage of a population?
provides accurate results as everyone in the population has been used
all opinions are included
disadvantage of a population?
time consuming to collect data
expensive because large numbers are involved
large amounts of data to organise and analyse
advantage of sample?
quicker to collect data
cheaper (not a lot of work involved)
less data to organise & analyse
disadvantage of sample?
small sample size
unreliable results (reliability improved by taking larger sample size)
can introduce bias ( especially when sample is not random)
might not be representative of population (only a selection of opinions could be accounted for or the members may all have the same opinions)
How do you increase reliability?
larger sample size will increase reliability
what is simple random sampling
when every member of the population has an equal chance of being selected
method for simple random sampling
uniquely number every member of a population randomly and select n different numbers using a random number generator
strength of simple random sampling
useful when you have a small population or want a small sample
limitation of simple random sampling?
time-consuming if population or sample is large
may not give sample that is representitive of the whole population
cannot be used if not possible to number or list all members of the population
what is stratified sampling?
population is divided into groups based on characteristics that may affect the investigation (age)
random sample is taken from each group
the proportion of group that is sampled is equal to the proportion of the population that belong to that group
method for stratified sampling?
calculate the number of members sampled from each stratum
use equation size of sample divided by size of population times the number of members in the group
take a random sample from each group
strength of stratified sampling
useful when there are very different groups of members within a population
sample will be representative of the population structure
members selected from each stratum are chosen randomly
limitation of stratified sampling
cannot be used if the population can not be split into groups of if the group overlap
what is cluster sampling?
when the population naturally fall into groups (clusters) e.g. streets in a town
a random number of clusters are selected and all members from within are used in the sample
method of cluster sampling?
identify the clusters, use all members in the selected clusters
strength of cluster sampling
easy to complete
cheeper and quicker than some other type of sampling
when appropriate clusters are used the sample will be representative of the population
limitation of cluster sampling?
if appropriate clusters are not used sample may not be representative of the population
what is quota sampling?
when population is split into groups and members of population are selected until each quota is filled
method of quota sampling?
calculate how many people you need from each group
select members from each group until that quota is filled
members do not have to be selected randomly e.g.people walking by
strength of quota sampling
quick and inexpensive to complete
useful when sampling frame is not available
limitations of quota sampling
some members of the population might choose not to be included in the sample
members may not be selected randomly