Statistical reasoning Flashcards
In regard to B, if A had not occurred, B would not have occurred
Have to be a brother to be an uncle. What kind of condition is this?
Necessary condition
In regard to B, A is enough to guarantee that B occurs. What type of condition is this?
Sufficient condition
Statistical propositions
Propositions that present quantitative evidence about a category of things
total
the entire number of items in a class S or the sum of their values on a variable P
Ratio
the total expressed as a unit of another class (a total expressed in relative terms)
Frequency
the number or proportion of Ss that have some particular value on a variable P
Distribution
the number or proportion of Ss that have each of the values (P, Q, R) on some variable
mean
the sum of the values that the Ss have on a quantitative variable P, divided by the number of Ss
Median
The middle value of the Ss on a quantitative variable P
Absolute frequency
Tell actual number of Ss that are Ps
Relative frequency
Tell us proportion of Ss that are Ps
Proxy variable
variable that affects result but is not measured/directly relevant in data
Internal validity
certainty around cause and effect of members in study
External validity
can the generalisation hold for a wider group
Statistical generalisation
aiming for a representation of a larger sample (want quantitative diversity and use random sampling)
Can be 95% sure that our claim i will fall within this probability (e.g. 5% of 46 = likely to be within 41 and 51)
Margin of error
How you choose the sample has effect on how random it is (e.g. testing test scores from first 10 to arrive at class)
Selection bias
How you word questions has effect on randomness of sample (e.g. do you support war or intervention)
Testing biases
When random sampling consider:
Margin of error
Testing biases
Selection biases
Priming
expose to a stimulus influences a response to a subsequent stimulus without conscious guidance/intention
confounding variable
undesirably affects outcome as third unknown variable
Experimental vs observational
Can’t control all variables so important to know difference
bigger the effect
more like there is a causation, rather than a correlation
Statistical correlations
Specific type of relationship between two variables e.g. average income and education years
Correlation does not automatically imply…
causation