Chapter 3 Flashcards
Sample
the data you
collectthe data you
collect
Population
the true
underlying situation
Standard statistical methods assume that
the
population is much larger than the sample
We usually assume
that the data you
collect is __________ from the
population.
randomly sampled
But values (e.g. mean)
computed from a
sample can differ
from…
the true population values
Random sampling error
by chance, a random
sample can have different values from the true pop.
-no one is ‘at fault’.
Bias is not
random but
produces errors
in a consistent
direction.
Selection bias:
the way the sample is collected is
not random. Subjects with particular values are
preferentially sampled.
In statistics, ‘sampling error’ does not usually
refer to
sloppy or incorrect measurements
Statistics usually
assumes that
sampling error
does not exist
If the measurements are just sloppy, then…
patterns
might be missed and/or variation over-estimated.
If the measurements are systematically
too low or
too high, then this is an additional source of bias.
New perspective
Model
mathematical description of a simplified view of the world. - Consists of general description and parameters.
Example New perspective
Model:
a Gaussian bell-shaped distribution is a
model with the parameters: mean and standard
deviation. Image shows effect of the parameters.
Goals of Statistics
1. Make inferences about the values of parameters for a model. 2. Compare alternative models.