NAME
dbcolstats  compute statistics on a fsdb column
SYNOPSIS
dbcolstats [amS] [c ConfidenceFraction] [q NumberOfQuantiles] column
DESCRIPTION
Compute statistics over a COLUMN of data. Records containing nonnumeric data are considered null do not contribute to the stats (with the a
option they are treated as zeros).
Confidence intervals are a ttest (+/ (t_{a/2})*s/sqrt(n)) and assume the population takes a normal distribution with a small number of samples (< 100).
By default, all statistics are computed for as a population sample (with an ``n1'' term), not as representing the whole population (using ``n''). Select between them with sample or nosample. When you measure the entire population, use the latter option.
The output of this program is probably best looked at after reformatting with dblistize.
Dbcolstats runs in O(1) memory. Median or quantile requires sorting the data and invokes dbsort. Sorting will run in constant RAM but O(number of records) disk space. If median or quantile is required and the data is already sorted, dbcolstats will run more efficiently with the S option.
OPTIONS
 a or includenonnumeric

Compute stats over all records (treat nonnumeric records as zero rather than just ignoring them).
 c FRACTION or confidence FRACTION

Specify FRACTION for the confidence interval. Defaults to 0.95 for a 95% confidence factor.
 f FORMAT or format FORMAT

Specify a printf(3)style format for output statistics. Defaults to
%.5g
.  m or median

Compute median value. (Will sort data if necessary.) (Median is the quantitle for N=2.)
 q N or quantile N

Compute quantile (quartile when N is 4), or an arbitrary quantile for other values of N, where the scores that are 1 Nth of the way across the population.
 sample

Compute sample population statistics (e.g., the sample standard deviation), assuming n1 degrees of freedom.
 nosample

Compute whole population statistics (e.g., the population standard devation).
 S or presorted

Assume data is already sorted. With one S, we check and confirm this precondition. When repeated, we skip the check. (This flag is ignored if quartiles are not requested.)
 parallelism=N or
j N

Allow sorting to happen in parallel. Defaults on. (Only relevant if using nonpresorted data with quantiles.)
 F or fs or fieldseparator S

Specify the field (column) separator as
S
. See dbfilealter for valid field separators.  T TmpDir

where to put temporary data. Only used if median or quantiles are requested. Also uses environment variable TMPDIR, if T is not specified. Default is /tmp.
 k KeyField

Do multistats, grouped by each key. Assumes keys are sorted. (Use dbmultistats to guarantee sorting order.)
 outputonnoinput

Enables null output (all fields are "", n is 0) if we get input with a schema but no records. Without this option, just output the schema but no rows. Default: no output if no input.
This module also supports the standard fsdb options:
 d

Enable debugging output.
 i or input InputSource

Read from InputSource, typically a file name, or

for standard input, or (if in Perl) a IO::Handle, Fsdb::IO or Fsdb::BoundedQueue objects.  o or output OutputDestination

Write to OutputDestination, typically a file name, or

for standard output, or (if in Perl) a IO::Handle, Fsdb::IO or Fsdb::BoundedQueue objects.  autorun or noautorun

By default, programs process automatically, but Fsdb::Filter objects in Perl do not run until you invoke the run() method. The
(no)autorun
option controls that behavior within Perl.  help

Show help.
 man

Show full manual.
SAMPLE USAGE
Input:
#fsdb absdiff
0
0.046953
0.072074
0.075413
0.094088
0.096602
#  /home/johnh/BIN/DB/dbrow
#  /home/johnh/BIN/DB/dbcol event clock
#  dbrowdiff clock
#  /home/johnh/BIN/DB/dbcol absdiff
Command:
cat data.fsdb  dbcolstats absdiff
Output:
#fsdb mean stddev pct_rsd conf_range conf_low conf_high conf_pct sum sum_squared min max n
0.064188 0.036194 56.387 0.037989 0.026199 0.102180.95 0.38513 0.031271 0 0.096602 6
#  /home/johnh/BIN/DB/dbrow
#  /home/johnh/BIN/DB/dbcol event clock
#  dbrowdiff clock
#  /home/johnh/BIN/DB/dbcol absdiff
#  dbcolstats absdiff
# 0.95 confidence intervals assume normal distribution and small n.
SEE ALSO
dbmultistats(1), handles multiple experiments in a single file.
dblistize(1), to prettyprint the output of dbcolstats.
dbcolpercentile(1), to compute an even more general version of median/quantiles.
dbcolstatscores(1), to compute zscores or tscores for each row
dbrvstatdiff(1), to see if two sample populations are statistically different.
Fsdb.
BUGS
The algorithms used to compute variance have not been audited to check for numerical stability. (See http://en.wikipedia.org/wiki/Algorithms_for_calculating_variance).) Variance may be incorrect when standard deviation is small relative to the mean.
The field conf_pct
implies percentage, but it's actually reported as a fraction (0.95 means 95%).
Because of limits of floating point, statistics on numbers of widely different scales may be incorrect. See the test cases dbcolstats_extrema for examples.
CLASS FUNCTIONS
new
$filter = new Fsdb::Filter::dbcolstats(@arguments);
Create a new dbcolstats object, taking commandline arguments.
set_defaults
$filter>set_defaults();
Internal: set up defaults.
parse_options
$filter>parse_options(@ARGV);
Internal: parse commandline arguments.
setup
$filter>setup();
Internal: setup, parse headers.
_round_up
$i = _round_up($x);
Internal: Round up to the next integer.
_compute_quantile
($median, $quantile_aref) = _compute_quantile($n, $mean);
Internal: Compute quantile from the saved data. Not generalizable. We assume the saved output is closed before we enter.
run_one_key
$filter>run_one_key();
Internal: run over each row, for a given key.
run
$filter>run();
Internal: run over each row, for one or many keys.
AUTHOR and COPYRIGHT
Copyright (C) 19912018 by John Heidemann <johnh@isi.edu>
This program is distributed under terms of the GNU general public license, version 2. See the file COPYING with the distribution for details.