TREND ANALYSIS DEVELOPED BY KIRK ET AL J.AM.SOC.HORT. SCI. STATISTICAL PROCEDURE TO ACCOUNT FOR SPATIAL VARIBILITY EACH PLOT IS IDENTIFIED BY ROW AND COLUMN TO FORM A GRID

TREND ANALYSIS BACKGROUND VARIATION IS ACCOUNTED FOR BY FITTING A POLYNOMIAL SURFACE MODEL ON THE GRID RESIDUAL VALUES FOR EACH PLOT IS CALCULATED BY SUBTRACTING THE ENTRY MEAN FROM THE PLOT VALUE THE PROGRAM EVALUATES POSSIBLE RESPONSE SURFACE MODELS

TREND ANALYSIS THE MODEL APPROXIMATES THE PATTERN OF RESIDUAL VALUES IN THE EXPERIMENT FROM THE POSSIBLE MODELS, ‘F’ TESTS ARE USED TO SELECT THE MODEL DESIRED THE NUMBER OF TERMS IN THE MODEL IS RESTRICTED AS WELL AS THE SIGNIFICANCE LEVEL OF THE ‘F’ TEST

TREND ANALYSIS ADJUSTED ENTRY MEANS ARE COMPUTED BASED ON THE SURFACE MODEL, I.E. PLOT VALUES IDENTIFIED WITH POSITIVE RESIDUAL VALUES ARE ADJUSTED DOWNWARD AND VICE VERSA THE ADJUSTED ENTRY SUM OF SQUARES IS USED IN THE ANOVA THE SS ASSOCIATED WITH THE SURFACE MODEL IS SUBTRACTED FROM THE TOTAL IN LIEU OF REPS OR BLOCKS

NECESSARY DATA INPUTS SAME AS WITH RCBD PLUS ROW NUMBER AND COLUMN NUMBER BUT NO REP NUMBER YOU CANNOT HAVE MISSING VALUES

RELATIVE EFFICIENCY FLUE-CURED TOBACCO = 97 TO 161% COTTON = 126 TO 130 % CORN =110 TO 147%

RCBTREND SOURC E dfMSFSOURC E dfMSF TOTAL131TOTAL131 REP *MODEL ** ENTRY ENTRY ** ENTRY ADJ ** ERROR8667ERROR8343

REQUIREMENTS FOR THE PC 64 BIT COMPUTER

Trend Analysis Soybean Data test=C Maturity=5 sub_mat=E Loc= ANALYSIS OF VARIANCE FOR THE DEPENDENT VARIABLE Yield SOURCE DF SUM OF SQUARES MEAN SQUARES CORR. TOTAL Entry RESIDUAL F I T T I N G O F T H E R E S P O N S E S U R F A C E M O D E L NUMBER TERMS TERMS IN THE RESPONSE SURFACE MODEL RESULTING IN MINIMUM ERROR S S EMS R SQUARE 1 T R1 T R1 T1 R1T R1 T1 T2 R1T R1 R2 R3 R4 T R1 R2 R3 R4 T1 R3T R1 R2 R3 R4 R5 T1 R5T R1 R2 R3 R4 T1 T2 T3 R3T

S E L E C T I O N O F T H E R E S P O N S E S U R F A C E M O D E L NUMBER ERROR ERROR MALLOWS REGRESSION REDUCTION TERMS DF SUM OF SQUARES MEAN SQUARES C(P) SUM OF SQUARES SUM OF SQUARES F VALUE PROB>F

SELECTED RESPONSE SURFACE MODEL SOURCE REGRESSION COEFF. SEQUENTIAL SS F VALUE PROB>F PARTIAL SS F VALUE PROB>F R R R R T

ANALYSIS OF VARIANCE FOR THE DEPENDENT VARIABLE Yield SOURCE DF SUM OF SQUARES MEAN SQUARES F VALUE PROB>F CORRECTED TOTAL Entry Entry (ADJUSTED) RESPONSE SURFACE ERROR

Trend Analysis Soybean Data test=C Maturity=5 sub_mat=E Loc= Entry MEANS FOR THE DEPENDENT VARIABLE Yield STANDARD ERROR Entry N MEANS ADJUSTED MEANS ADJUSTED MEANS

MULTIPLE COMPARISONS OF THE ADJUSTED MEANS USING THE BAYESIAN K-RATIO T TEST Entry N ADJUSTED MEANS | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BAYESIAN K - RATIO T VALUE USED: 1.576

CONCLUSIONS NEED 64 BIT COMPUTER PROVEN SPATIAL ANALYSIS WITH REMARKABLE EFFICIENCIES NECESSARY TO HAVE NO MISSING PLOTS NEEDS AT LEAST 80 PLOTS TO BE EFFICIENT