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Simple Statistics 31
KurtosisP (data(), k)
Percentile coefficient of kurtosis: .5 * (Q 3
– Q 1
) / (P 90
– P 10
).
Exceptions:
715 Can’t use KurtosisP with percentiles 10 and 90 equal.
761 Need at least 99 data items for Percentiles.
Moment (data(), r, mr)
Given r, and dataset data(), this computes the r th moment mr about the dataset’s mean.
Exceptions:
716 Moment ‘r’ must be a positive integer: r
MomentAbout (o, data(), r, mr)
Given r, an arbitrary origin o and dataset data(), compute the r th moment mr about o
as shown by the formula where n = Size(data).
n
Σ (data(i) – o)r
i = 1
————————
n
Exceptions:
716 Moment ‘r’ must be a positive integer: r
Quartiles and Percentiles
These routines return the quartiles and percentiles of a dataset.
Quartiles (data(), q1, q2, q3)
Quartiles of a dataset data(), returning the first quartile in q1, second (median) in q2,
and third in q3. Your dataset must contain at least 3 non-missing items. Quartile values
will be interpolated when the quartile falls between two data items.
Exceptions:
762 Need at least 3 data items for Quartiles.
Percentiles (data(), p())
Percentiles of a dataset data() in the array r() which is automatically redimensioned to
p(1:99). Thus, for example, p(95) will contain the 95% percentile value. Your dataset
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