What is probability theory?
The study of the mathematical rules that govern random events.
What is an event?
A possible outcome of an experiment or observation.
What is descriptive statistics?
The use of statstics to summarise a set of known data in a clear and consise way.
What is statstical inference?
The methods and practice of forming judgements about the parameters of a population, usually on the basis of random sampling.
What is statistics used for?
What are the general steps used in stats?
What are the three general methods for collecting or generating data?
What is a target population?
A collection of objects/individuals we want to learn something about.
What is a sample?
A subset of the target population.
What is a census?
When information from the whole target population is obtained.
What is a poll or survey?
The process of collecting data from a sample in order to obtain info about the whole population.
What are the cons of censuses?
What is a sampling error?
A single random sample will not give an exact “right answer”; it is unavoidable without taking a census.
How do we choose a sample?
What is a variable?
Some characteristic of each individual in the population.
What is a parameter?
A numerical summary of a variable for a population.
What is a statistic?
A numerical summary of a variable for the sample.
What is precision?
The value of the statistic is similar in all samples.
What is a bias?
It implies that the sample statistic tends to differ from the population parameter in a consistant way (there is a systematic error).
Describe two simple sampling strategies.
What are the benefits of systematic sampling over random sampling?
- BUT if population contains some periodic variation which lines up with k, sample will be biased
What is stratified sampling?
The population is divided into different categories (or strata) and different samples are taken from each stratum.
What is selection bias?
Introduced when the selected sample is not representive of the population of interest.
What is self-selection bias?
Occurs when people decided whether they wish to participate in the survey or not.