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Home > Developing
Mathematics for Modeling > Measurement |
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Measurement |
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Progress
Map |
Distribution
of Repeated Measures |
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- Spread
of measures is
indexed by considering
the sampling distribution.
(E.g. range is
more susceptible
to sampling variation
than mid-50 or
related indicators)
- Students
predict effect
on distribution
of changes in
the precision
of measure.
- Students
predict effect
on statistics
of center and
spread of changes
in the precision
of measure.
- A
sampling distribution
characterizes
sample-to-sample
variation in repeated
measures.
- Center
of density can
be indicated by
median, mean.
- Students
interpret center
as best estimate
of true length.
- Repeated
measures can be
characterized
by density.
- Students
construct bins
or intervals,
so that measurements
are characterized
by relative
frequency.
- Students
characterize
the shape of
the data, noting
clumps and holes.
- The
measurements
are divided
into regions
characterized
by ratios of
observations
to total sample
size.
- Students
characterize
the shape of
the data, noting
regions described
as ratios of
observations
to total.
- There
are multiple sources
of these differences:
individual differences,
tools, and methods.
- Repeated
measures of the
same magnitude
result in different
measures.
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Last Updated:
March 30, 2005
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