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```SUBROUTINE TAB2

PURPOSE
PERFORM A TWO-WAY CLASSIFICATION FOR TWO VARIABLES IN AN
OBSERVATION MATRIX (OR A MATRIX SUBSET) OF THE FREQUENCY,
PERCENT FREQUENCY, AND OTHER STATISTICS OVER GIVEN CLASS
INTERVALS.

USAGE
CALL TAB2(A,S,NOV,UBO,FREQ,PCT,STAT1,STAT2,NO,NV)

DESCRIPTION OF PARAMETERS
A	 - OBSERVATION MATRIX, NO BY NV
S	 - INPUT VECTOR GIVING SUBSET OF A. ONLY THOSE
OBSERVATIONS WITH A CORRESPONDING NON-ZERO S(J) ARE
CONSIDERED. VECTOR LENGTH IS NO.
NOV	 - VARIABLES TO BE CROSS-TABULATED. NOV(1) IS VARIABLE
1, NOV(2) IS VARIABLE 2. VECTOR LENGTH IS 2. NOV
MUST BE GREATER THAN OR EQUAL TO 1 AND LESS THAN
OR EQUAL TO NV.
UBO	 - 3 BY 2 MATRIX GIVING LOWER LIMIT, NUMBER OF
INTERVALS, AND UPPER LIMIT OF BOTH VARIABLES TO BE
TABULATED (FIRST COLUMN FOR VARIABLE 1, SECOND
COLUMN FOR VARIABLE 2). IF LOWER LIMIT IS EQUAL TO
UPPER LIMIT FOR VARIABLE 1, THE PROGRAM USES THE
MINIMUM AND MAXIMUM VALUES ON EACH VARIABLE. NUMBER
OF INTERVALS MUST INCLUDE TWO CELLS FOR UNDER AND
ABOVE LIMITS.
FREQ  - OUTPUT MATRIX OF FREQUENCIES IN THE TWO-WAY
CLASSIFICATION. ORDER OF MATRIX IS INT1 BY INT2,
WHERE INT1 IS THE NUMBER OF INTERVALS OF VARIABLE 1
AND INT2 IS THE NUMBER OF INTERVALS OF VARIABLE 2.
INT1 AND INT2 MUST BE SPECIFIED IN THE SECOND
POSITION OF RESPECTIVE COLUMN OF UBO MATRIX.
PCT	 - OUTPUT MATRIX OF PERCENT FREQUENCIES, SAME ORDER
AS FREQ.
STAT1 - OUTPUT MATRIX SUMMARIZING TOTALS, MEANS, AND
STANDARD DEVIATIONS FOR EACH CLASS INTERVAL OF
VARIABLE 1. ORDER OF MATRIX IS 3 BY INT1.
STAT2 - SAME AS STAT1 BUT OVER VARIABLE 2. ORDER OF MATRIX
IS 3 BY INT2.
NO	 - NUMBER OF OBSERVATIONS. NO MUST BE GREATER THAN
OR EQUAL TO 1.
NV	 - NUMBER OF VARIABLES FOR EACH OBSERVATION. NV
MUST BE GREATER THAN OR EQUAL TO 1.

REMARKS
IF S IS NULL, OUTPUT AREAS ARE SET TO ZERO

SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
NONE

METHOD
INTERVAL SIZES FOR BOTH VARIABLES ARE CALCULATED FROM THE
GIVEN INFORMATION OR OPTIONALLY FROM THE MINIMUM AND MAXIMUM
VALUES. THE FREQUENCY AND PERCENT FREQUENCY MATRICES ARE
DEVELOPED. MATRICES STAT1 AND STAT2 SUMMARIZING TOTALS,
MEANS, AND STANDARD DEVIATIONS ARE THEN CALCULATED.
THE DIVISOR FOR STANDARD DEVIATION IS ONE LESS THAN THE
NUMBER OF OBSERVATIONS USED IN EACH CLASS INTERVAL.
```