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decus/20-0026/polrg.doc
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SAMPLE MAIN PROGRAM FOR POLYNOMIAL REGRESSION - POLRG
PURPOSE
(1) READ THE PROBLEM PARAMETER CARD FOR A POLYNOMIAL REGRES-
SION, (2) CALL SUBROUTINES TO PERFORM THE ANALYSIS, (3)
PRINT THE REGRESSION COEFFICIENTS AND ANALYSIS OF VARIANCE
TABLE FOR POLYNOMIALS OF SUCCESSIVELY INCREASING DEGREES,
AND (4) OPTIONALLY PRINT THE TABLE OF RESIDUALS AND A PLOT
OF Y VALUES AND Y ESTIMATES.
REMARKS
THE NUMBER OF OBSERVATIONS, N, MUST BE GREATER THAN M+1,
WHERE M IS THE HIGHEST DEGREE POLYNOMIAL SPECIFIED.
IF THERE IS NO REDUCTION IN THE RESIDUAL SUM OF SQUARES
BETWEEN TWO SUCCESSIVE DEGREES OF THE POLYNOMIALS, THE
PROGRAM TERMINATES THE PROBLEM BEFORE COMPLETING THE ANALY-
SIS FOR THE HIGHEST DEGREE POLYNOMIAL SPECIFIED.
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
GDATA
ORDER
MINV
MULTR
PLOT (A SPECIAL PLOT SUBROUTINE PROVIDED FOR THE SAMPLE
PROGRAM.)
METHOD
REFER TO B. OSTLE, 'STATISTICS IN RESEARCH', THE IOWA STATE
COLLEGE PRESS', 1954, CHAPTER 6.