Population: Every person in the group of interest (target population)
Accessible population: Everyone in that group who you have access to
Sample: A subgroup of the population who you actually recruit
You will only ever have a sample. The goal is to make it as representative of the population as possible
Inclusion/Exclusion criteria:
Starting off with a general population, your narrow it down by asking
What people do I have access to?
What’s my time period for recruitment?
then you narrow it down more via sampling methods to create your sample population
Sampling Method:
Can introduce known and unknown biases through the methods used to recruit sample
Selection bias: The way you select people may mean your sample isn’t representative of your population
Example: Sampling obese people from people attending a weight loss clinic – obese people attending a weight loss clinic may be severely obese and/or they may be motivated to lose weight
Volunteer bias: People who volunteer to participate in research may be different to those who refuse
Probability Sampling Methods - Simple random sampling:
Each member of the population has an equal chance of being selected (e.g. use a random numbers table)
Advantages:
Should result in a truly representative sample - bias minimised
Disadvantages:
Pragmatically difficult, particularly in large population
Probability Sampling Methods - Systematic sampling:
Select every n th person in the accessible population
Advantages:
Can be more efficient than random sampling
Disadvantages:
The order of the list can introduce a systematic bias
Probability Sampling Methods - Stratified sampling:
Sampling ensures a proportion of representation across specific characteristic
Advantages:
Ensures balance on characteristics that are known to be important
Disadvantages:
Getting info difficult, time consuming and sometimes arbitrary
Non probability sampling methods:
Sampling Methods:
Convenience (incidental) sampling - take who you can get
Snowball sampling - get those you have to ask around (more common in qualitative research)
Purposive sampling - handpick those who meet your needs (more common in qualitative research)
Advantages:
easy and efficient
Disadvantages:
easily affected by bias - sample may not be representative
Sample Size:
Larger samples more representative
Larger samples give more precision
For a survey you need enough people to be sure that your sample is representative
For an experiment you need enough to be sensitive to detect a change
The larger the true effect the easier it is to detect and so the smaller the required sample
Types of Errors:
type 1 error:
false positive
detecting an effect that isnt actually there
failure to accept the null hypothesis
type 2 error:
false negative
failing to detect an effect that is actually there
wrongly accepting the null hypothesis
Error Types:
Increased sample size = decreased variability = greater power to detect an effect if one exists
so increased sample size means theres less chance of a type 2 error, as a type 2 error occurs when you fail to detect an effect that is actually there
Sample Size Calculation:
Finger in the air method common and profoundly dodgy
Better to perform a formal sample size calculation
But for this you need to establish some background data
The method varies depending on the study design
This will be discussed in more detail in the lecture on inferential statistics