Chapter 13 Flashcards
Resampling
aka bootstrapping
(aka bootstrapping) is an alternative approach that does not assume any specific type of distribution. • By creation of pseudosamples to compare with the original sample.
The pseudosamples
are generated by resampling
from within the original set of observations.
Really?
The standard error of the
mean (aka standard error)
does not directly quantify scatter or variability • common misinterpretation • because SEM decreases as sample size increases (SD does not).
SEM
= SD/ √n
With huge samples the SEM is always tiny even if
the SD is large. The SD does not necessarily
change with sample size.
The SEM quantifies
how precisely you know the
true population mean. It is proportional to the
margin of error of a C.I. (W).
W =
SEM * tcrit
SD =
SEM * √n
• If you want to show
variation use SD, not SEM.
• However,
other images like
the box-and-whiskers plot
are still more informative
that just a mean and SD.
If you want to show how
precisely you can estimate
the mean, then you could
use
the SEM, not SD.
• But a CI would be more
informative.
The use of SD and SEM in graphs and tables has become
the
conventional choice even those these are often not the most
informative alternatives.