Chapter 1 stats Flashcards
(29 cards)
Population
The whole set of items that are of interest
Sample
some subset of the population intended to represent the population
Parameter
A number which describes the entire population. Tends to be the thing we are measuring.
Statistic
A number taken from a single sample - can use 1 or more to estimate the parameter, larger sample - more reliable the parameter.
Census
Data collected from the entire population.
Sampling unit
Each individual thing in the population that can be sampled.
Sampling frame
A list of named or numbered sampling units of a population.
Census
Advantages / Disadvantages
Adv:
Should give completely accurate result
Disadv:
Time consuming + expensive
Can’t be used when testing involves destruction
Large vol of data to process
Sampling
Advantages / Disadvantages
Adv:
Cheaper
Quicker
Less data to process
Disadv:
Data may not be accurate
Data may not be large enough to represent small sub-groups
When is a sampling method biased?
If it creates a sample which doesn’t represent the population.
Simple random sampling:
What is it?
Every sampling unit in the sampling frame has an equal chance of being selected.
Simple random sampling:
How to carry out?
- Allocate a number to each item
- Use a random number generator to pick out __ different numbers
- The corresponding items form the sample
Simple random sampling:
Advantages
Bias free
Easy + cheap to implement
Each number has a known equal chance of being selected
Simple random sampling:
Disadvantages
Not suitable when sampling frame is large
Sampling frame needed
Systematic sampling:
What is it?
Required elements are chosen at regular intervals in ordered list
Systematic sampling:
How to carry out?
Take every ‘k’th element where K = pop size / sample size stanting at random items between 1 and K
Systematic sampling:
Advantages
Simple + quick to use
Suitable for large samples / populations
Systematic sampling:
Disadvantages
Sampling frame needed
Can introduce bias if sampling frame not random
Stratified sampling:
What is it?
Population divided into groups (strata) and a simple random sample carried out in each groups
Systematic sampling:
How to carry out?
Same proportion samp size / pop size sampled from each strata
Systematic sampling:
Advantages
Reflects population structure
Guarantees proportional representation of groups within population
Systematic sampling:
Disadvantages
Pop must be clearly classified into distinct strata
Selection within each stratum suffers from same disadvantages as simple random sampling
Quota sampling:
How to carry out?
Pop divided into groups according to characteristic. A quota of items / people om each group is set to try + reflect group’s proportion in whole population. Interviewer selects the actual sampling units.
Quota sampling:
Advantages
Allows small sample to still be representative of population
No sampling frame required
Quick, easy, inexpensive
Allows for easy comparison btwn diff groups in population