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Enumerative Statistics are used to provide
information about the specific data that
is being analyzed. For example the mean
of the three values 4, 8 and 9 is 7.
Analytical statistics, on the other hand,
are used to draw conclusions about a population
based on sample data.
Suppose the three values 4, 8 and 9 referred
to the ages of three children surveyed in
a toy shop. Analytical statistics would
be used to infer that the mean age of all
the children who frequented that toy shop
was 7. Clearly it would not be wise to make
that inference from such a small sample.
A proper study would involve making sure
that the sample size was
sufficient, and that proper sampling methods
were used to give confidence that the sample
was representative of the population being
studied.
The analysis of numerical
data to provide information about the data
that is being specifically analyzed. Contrast
with Inferential Statistics that is used
to draw conclusions about the broader population
based on a sample drawn from the population.
An alternative name for Descriptive
Statistics.
An alternative name for Analytical Statistics.
A statistical property of a population,
such as the mean or standard deviation.
The value of the parameter is estimated
from a sample drawn from the population;
thus the exact value of the parameter is
never known with certainty. The equivalent
properties of samples are known as 'statistics'.
A statistical property of a data set, such
as the mean or standard deviation. The value
of the statistic is calculated using all
the members of the data set and is therefore
known with certainty.
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