A-level Maths Statistics Definitions

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Definitions fro sampling

35 Terms

1
Population
A whole set of items that are of interest
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2
Census
Observes or measures every member of a population
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3
Sample
A selection of observations taken from a subset
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Advantage of a census
Should give a completely accurate results
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3 disadvantages of a census

  • Time consuming

  • Cannot be used when the testing process destroys the item

  • Hard to process a large quantity of data

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3 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

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2 disadvantages of a sample

Data may not be accurate enough, Sample may not be large enough to give information about small sub-groups of the population

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Sample units
Individual units of a population
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9
Samping frame
A list of sample units
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10
A simple random sample if size n
One where ever sample of size n has an equal chance of being selected
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In stratified sampling
Population is divided into mutually exclusive strata and a random sample is taken from each
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12
In systematic sampling
Required elements are chosen at regular intervals form an ordered list
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3 advantages of simple random sampling

Free of bias, Easy and cheap to implement for small populations and samples, Each sampling unit has known and equal chance of selection

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2 disadvantages of simple random sampling

Not suitable when the population size or the sample size is large, A sampling frame is needed

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2 advantages of systematic sampling

Simple and quick to use, Suitable for large samples and large populations

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2 disadvantages of systematic sampling

A sampling frame is needed, It can introduce bias if the sampling frame is not random

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2 advantages of stratified sampling

Sample accurately reflects the population, Guarantees proportional representation of groups within a population

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2 disadvantages of stratified sampling

Population must be clearly classified into district data, Selection within each stratum suffers from the same disadvantages as a simple random sampling

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An example of a simple random sampling is
A jury
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An example of a systematic sampling is
Every house number ending in 1
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An example of stratified sampling is
Bhasvic asking 50 first years and 40 second years. (Bhasvic has 1500 first years and 1200 second years)
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22
In quota sampling
An interviewer selects a sample that reflects the characteristics of the population
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23
Opportunity sampling
Taking the sample from people who are available at the time the study is carried out and who fit the criteria you are looking for
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4 advantages of quota sampling

Allows a small sample to still be representative of the the population, No sampling frame required, Quick, Allows for easy comparison between different groups within a population

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4 disadvantages of quota sampling

Non-random sampling can introduce bias, Population must be divided into groups, Increasing scope of study increases number of groups, Non-responses are not recorded as such

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2 advantages of oppurtunity sampling

Easy to carry out, Inexpensive

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2 Disadvantages of oppurtunity sampling are

Unlikely to provide a representative sample, Highly dependent on individual researcher

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An example of quota sampling is
For maths
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An example of oppurtunity samping
Asking women aged between 19 and 25 outside Brighton train station between 10am and 11am
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30
Quantatitve variables
Variables with numerical observations
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Quantative data
Data with numerical observations
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Qualatitive variables
Variables with non-numerical observations
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Qualatitive data
Data with non-numerical observations
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Continuous variable
Can take any value in a given range
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Discrete variable
Can take only specific values in a given range
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