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what is a population?
the whole set of items that are of interest
what is a census?
a survey observing or measuring every member of a population
what is a sample?
a selection of observations taken from a subset of the population which is used to find out information about the population as a whole
what are sampling units?
individual units of a population
what is a sampling frame?
sampling units of a population that are individually named and numbered
what are the 2 main types of sampling?
random sampling
non-random sampling
what is random sampling?
each member of the population has an equal chance of being selected
simple random, systematic, stratified
how many types of random sampling are there?
3
what are the types of random sampling?
simple random
systematic
stratified
what are the positives of random sampling?
theoretically representative of the population
removes bias from a sample
why is random sampling theoretically representative of the population?
because every member of the population has an equal chance of being selected
why is it good that random samples help to remove bias from a sample?
the researcher’s bias in choosing a sample could affect the validity of the sample, as it may not be representative of the population
negatives of random sampling?
what is a simple random sample?
every sample has an equal chance of being selected
how do you carry out a simple random sample?
using a sampling frame, each person / thing is allocated a unique number and the selection of said number is random
numbers can be picked using a random number generator, or via lottery sampling (putting names in a hat)
how is each participant numbered in a simple random sample?
by putting them in a sampling frame, then allocating unique numbers
how can participants be picked out in a simple random sample after being numbered?
random number generator
lottery sample
what is a lottery sample?
putting names in a hat and drawing out enough for the required sample size
what is used to carry out a simple random sample?
a sampling frame
why is a sampling frame used in a simple random sample?
in order to allocate a unique number to each person / thing in the sampling frame in order to randomly select numbers and therefore participants
how many names should you pick out in a lottery sample?
the required sample size
why is it an advantages that each sampling unit in a simple random sample has an equal chance of selection?
because, theoretically, the sample should be representative of the population
what are the advantages of simple random sampling?
free of bias
easy and cheap to implement for small populations and small samples
each sampling unit has a known and equal chance of selection
what are the disadvantages of simple random sampling?
not suitable when the population size or the sample size is large as it’s potentially time consuming, disruptive, and expensive
sampling frame needed
what is a systematic sample?
the required elements are chosen at regular intervals from an ordered list
how is a systematic sample chosen?
at regular intervals, found from population / sample sample
the first person chosen is random
how should the first person in a systematic sample be chosen?
randomly
why should the first person in a systematic sample be chosen randomly?
come back to this
how do you decide the interval to use in a systematic sample?
population / sample size = interval
e.g., if a sample of 20 was required from a population of 100, you take every 5th person since 100 / 20 = 5
what characteristic should the sampling frame have in a systematic sample?
it should be random to avoid bias
why should the sampling frame be random in a systematic sample?
to avoid bias
what are the advantages of systematic sampling?
simple and quick to use
suitable for large samples and large populations
what are the disadvantages of systematic sampling?
sampling frame needed
can introduce bias if the sampling frame is not random
what is a stratified sample?
the population is divided proportionally into mutually exclusive strata, and random samples are taken from each
what should be the same in a stratified sample?
the proportion of each strata sampled
how is the population divided in stratified sampling?
into mutually exclusive strata
according to their proportion in the population
how do you calculate the number of people that should be sampled from each stratum in stratified sampling?
number sampled in a stratum = (number in stratum) / (number in population) x overall sample size
what are the stratum in stratified sampling?
mutually exclusive strata - e.g. males and female
in stratified sampling, how do you pick a sample from the mutually exclusive stratums?
randomly
what is strata / stratum?
the groups in which the population is divided into in stratified sampling
what are the advantages of stratified sampling?
sample accurately reflects population structure
guarantees proportional representation of groups within a population
what are the disadvantages of stratified sampling?
population must be clearly classified into distinct strata
selection within each stratum suffers from the same disadvantages as simple random sampling
how should you answer a question asking you to describe the advantages / disadvantages of using a particular sampling type?
in context to the question
which sampling types require a sampling frame?
simple random
systematic
why should bias be avoided?
can reduce the validity? ask
what is non-random sampling?
sampling that isn’t random.. fuck man.. you’re so stupid
what is quota sampling?
an interviewer / researcher selects a sample that reflects the characteristics of the whole population
how is a quota sample chosen?
interviewer meets people, assess their group, and allocate them into the appropriate quota
population divided into groups based on certain characteristics
size of group determines proportion of the same that should have that characteristic
how is the population found in quota sampling?
via an interviewer, and until the quota is filled
how are groups divided in quota sampling?
by desired characteristic
what determines the proportion of a certain characteristic within a quota sample?
the size of the group of the desired characteristic in relation to the entire population
what are the advantages of quota sampling?
allows a small sample to still be representative of the population
no sampling frame required
quick, easy, and inexpensive
allows for easy comparison between different groups within a population
what are the disadvantages of quota sampling?
non-random sampling can introduce bias
population must be divided into groups, which can be costly or inaccurate
increasing scope of study increases number of groups, which adds time and expense
non-response are not recorded as such
why do non-random sampling methods introduce more bias than random?
smth abt the interviewer being a picky bitch
in quota sampling, when would a potential participant be ignored?
when the person doesn’t want to be interviewed
when the quota is full
in quota sampling, what happens when the quota is full?
any potential participants of the desired characteristic is ignored
a sample based on the proportion of the group is ready to be taken (providing all quotas are full)
stratified vs quota
what is opportunity sampling?
the sample is selected from people who are available at the time and fit the desired criteria (e.g., a street interview)
what is opportunity sampling also known as?
convenience sampling
what are the advantages of opportunity sampling?
easy to carry out
inexpensive
what are the disadvantages of opportunity sampling?
unlikely to provide a representative sample
highly dependent on individual researcher
what is quantitative data?
data regarding numbers
what is qualitive data?
data regarding words
what is continuous data?
data that can take any value in a given range
what is discrete data?
data that can take specific values in a given range
what is a grouped frequency table?
here
when is a grouped frequency table used?
when you have large amount of continuous data in classes
what are classes?
groups of continuous data that are given as a range, where specific data values are not known. used in group frequency tables
what are the class boundaries?
the maximum and minimum values that belong in each class
HERE
when do we rewrite data from a frequency diagram into it’s class boundaries?
when the data is continuous
when it has intervals between it’s classes
HERE
what are the class boundaries for continuous data in a grouped frequency table?
minimum value ≤ x < maximum value
what is the midpoint in a grouped frequency table?
the average of the class boundaries
what is the class width?
the difference between the upper and lower class boundary
what do you have to ensure before working with a grouped frequency table?
that, if the data is continuous, it is presented with class boundaries
here
what are the advantages of a census?
it should give a completely accurate result
what are the disadvantages of a census?
time consuming
expensive
can’t be used when the testing process destroys the item (e.g., how many ropes break under strain)
hard to process large quantities of data
what are the advantages of a sample?
less time consuming and expensive than a census
fewer people have to respond
less data to process than in a census
what are the disadvantages of a sample?
the data may not be as accurate
the sample may not be large enough to give information about small sub-groups of the population
what does the validity of the conclusions depend on?
the sample size
what does the sample size depend on?
the required accuracy and available resources
what is an advantage of a larger sample?
generally more accurate results
what is a disadvantage of a larger sample?
more resources are needed, therefore greater cost
when do you generally need a larger sample?
when the population has lots of variety
when do you generally don’t need a larger sample?
when the population is uniform
which generally requires a larger sample - a varied or uniform population?
varied population
which generally requires a smaller sample - a varied or uniform population?
uniform population
why can different samples lead to different conclusions?
because of the natural variance in a population
what are the recorded data?
daily mean temperature
daily total rainfall
daily total sunshine
daily mean wind direction and windspeed
daily maximum gust
daily maximum relative humidity
daily mean cloud cover
daily mean visibility
daily mean pressure
what are the recorded data for overseas locations?
daily mean temperature
daily total rainfall
daily mean pressure
daily mean windspeed
in the large data set, where is the weather data provided from?
5 uk weather stations
Leuchars
Leeming
Heathrow
Hurn
Camborne
4 overseas weather stations
jacksonville (usa)
beijing (china)
perth (australia)
what are the 5 uk weather stations in the large data set?
leuchars
leeming
heathrow
hurn
camborne
here
what are the 3 overseas weather stations in the large data set?
jacksonville (usa)
beijing (china)
perth (australia)
here
what is the furthermost north weather station in the uk?
leuchars
what is the furthermost west weather station in the uk?
camborne
what is the furthermost east weather station in the uk?
heathrow
what is the furthermost south weather station in the uk?
camborne
what is the furthermost west overseas weather station?
jacksonville (usa)
what is the furthermost east weather station?
beijing (china)
what is the furthermost south overseas weather station?
perth (australia)
what is the furthermost north overseas weather station?
beijing (china)