***********************************************;
*** LACK OF FIT ANALYSIS FOR TREADWEAR DATA ***;
***********************************************;

DATA IN; INPUT WEAR TEMP MILES @@; CARDS;
2.25847 53.2 388   2.19915 53.2 388    2.19068 53.2 388   1.99153 53.2 388
2.27837 53.3 438   2.22698 53.3 438    2.03854 53.3 438   2.05139 53.3 438
2.68891 66.0  58   2.63003 66.0  58    2.59078 66.0  58   2.58587 66.0  58
2.35556 70.3   7   2.41333 70.3   7    2.34222 70.3   7   2.42667 70.3   7
2.15361 76.9  28   2.20181 76.9  28    2.22892 76.9  28   2.16867 76.9  28
2.09884 78.4  25   2.25000 78.4  25    2.04360 78.4  25   2.08721 78.4  25
2.07979 88.1 275   2.23404 88.1 275    2.07713 88.1 275   2.21011 88.1 275
2.01934 89.6 324   2.26796 89.6 324    2.10221 89.6 324   2.01105 89.6 324
 ;
PROC GLM DATA=IN;
   MODEL WEAR = TEMP MILES / SS3 TOLERANCE;
TITLE 'LACK OF FIT ANALYSIS FOR TREADWEAR DATA';

PROC SORT DATA=IN; BY TEMP MILES;
PROC MEANS DATA=IN CSS; BY TEMP MILES;
     VAR WEAR;
     OUTPUT OUT=CSSSET CSS=CSS;

PROC MEANS DATA=CSSSET SUM;
     VAR CSS;
RUN;

=============================================================================


                LACK OF FIT ANALYSIS FOR TREADWEAR DATA

                    General Linear Models Procedure

Dependent Variable: WEAR

                               Tolerances

       Variable           Type I Tolerance     Type II Tolerance

       INTERCEPT               32.00000000            0.80560350
       TEMP                     1.00000000            0.90864745
       MILES                    0.90864745            0.90864745


Dependent Variable: WEAR
                                  Sum of         Mean
Source                  DF       Squares       Square  F Value    Pr > F

Model                    2     0.3776364    0.1888182     7.60    0.0022

Error                   29     0.7204475    0.0248430

Corrected Total         31     1.0980839

                  R-Square          C.V.     Root MSE          WEAR Mean

                  0.343905      7.053900       0.1576             2.2345


Source                  DF   Type III SS  Mean Square  F Value    Pr > F

TEMP                     1     0.1533525    0.1533525     6.17    0.0190
MILES                    1     0.3246684    0.3246684    13.07    0.0011


                                 T for H0:     Pr > |T|    Std Error of
Parameter          Estimate     Parameter=0                  Estimate

INTERCEPT       2.753171344           15.68      0.0001      0.17560687
TEMP           -0.005537524           -2.48      0.0190      0.00222881
MILES          -0.000622924           -3.62      0.0011      0.00017231

                LACK OF FIT ANALYSIS FOR TREADWEAR DATA

                              Analysis Variable : WEAR

-------------------------- TEMP=53.2 MILES=388 -------------------------
                                       CSS
                              ------------
                                 0.0405525
                              ------------

-------------------------- TEMP=53.3 MILES=438 -------------------------
                                       CSS
                              ------------
                                 0.0445465
                              ------------

---------------------------- TEMP=66 MILES=58 --------------------------
                                       CSS
                              ------------
                                 0.0068071
                              ------------

--------------------------- TEMP=70.3 MILES=7 --------------------------
                                       CSS
                              ------------
                                 0.0052346
                              ------------

--------------------------- TEMP=76.9 MILES=28 -------------------------
                                       CSS
                              ------------
                                 0.0034212
                              ------------

--------------------------- TEMP=78.4 MILES=25 -------------------------
                                       CSS
                              ------------
                                 0.0242599
                              ------------

-------------------------- TEMP=88.1 MILES=275 -------------------------
                                       CSS
                              ------------
                                 0.0209151
                              ------------

-------------------------- TEMP=89.6 MILES=324 -------------------------
                                       CSS
                              ------------
                                 0.0426335
                              ------------

===========================================================================

                LACK OF FIT ANALYSIS FOR TREADWEAR DATA

                              Analysis Variable : CSS

                                       Sum
                              ------------
                                 0.1883703
                              ------------