Description Usage Arguments Details Value Author(s) References See Also Examples
test.gaplin.t
find the most almost gap-linear length k+1 subsequence
of a given sequence and compute the almost gap-linearity test statistic for
this subsequence. test.gaplin.p
compute the p-value corresponding to
a computed test statistic. test.gaplin
compute the test statistics
and the p-values for subsequences of all lengths.
1 2 3 | test.gaplin(Tn);
test.gaplin.t(Tn, k);
test.gaplin.p(t, n, k);
|
Tn |
A sequence of numbers. Currently, only support sequence of length less than 50. |
k |
The length of the subsequences for which we want to test for almost gap-linearity. |
n |
The length of the sequence for which we want to test for subsequence almost gap-linearity. |
t |
Test statistic computed for a length k+1 subsequence of a length n+1 sequence. |
Almost gap-linear means the spacings of a subsequence are almost in proportion to the spacings of the corresponding indicies. For example, for Tn=c(11, 14, (.), 20), the subs sequence (11, 14, 20) is gap-linear, since the spacings (3, 6) is in proportion with the spacings of hte corresponding indicies (1, 2). Equivalently, almost gap-linearity can measured by the distance between the standardized spacings of the subsequnce and the standardized spacings of the corresponding indicies. See Di and Perlman (2007) for more details.
test.gaplin.t
returns the most gap-linear length k+1 subsequence of the
input sequence and corresponding almost gap-linearity test statistic.
test.gaplin.p
returns the p-value corresponding to the input test
statistic t
. test.lin
has no return value, instead, a table
containing the most almost gap-linear subsequences, corresponding test
staistics and p-values will be outputed.
Yanming Di
Di and Perlman, 2007
1 2 3 4 5 6 7 8 9 | ## A sequence representing arrival times of events.
Tn = c(13, 21, 24, 33, 40, 55, 59, 63, 72, 85, 87);
## Test for almost linearity.
t = test.gaplin.t(Tn, 4);
print(t$sub);
p = test.gaplin.p(t$t, 10, 4);
print(p);
test.gaplin(Tn);
|
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.