title "Box-Cox Transformation";
Data radiation;
oven+1;
do I=1 to 42;
 one=1; end;
input rad;
Datalines;
  0.15
  0.09
  0.18
  0.10
  0.05
  0.12
  0.08
  0.05
  0.08
  0.10
  0.07
  0.02
  0.01
  0.10
  0.10
  0.10
  0.02
  0.10
  0.01
  0.40
  0.10
  0.05
  0.03
  0.05
  0.15
  0.10
  0.15
  0.09
  0.08
  0.18
  0.10
  0.20
  0.11
  0.30
  0.02
  0.20
  0.20
  0.30
  0.30
  0.40
  0.30
  0.05
;
proc transreg data=radiation details; 
      title2 'Defaults'; 
      model boxcox(rad / lambda=-2 to 2 by 0.1) = identity(one); 
      run;
/*
	                                       Box-Cox Transformation     
                                            Defaults

                                     The TRANSREG Procedure

                                   Transformation Information
                                         for BoxCox(rad)

                                Lambda      R-Square    Log Like

                                  -2.0          0.00      6.6086
                                  -1.9          0.00     13.6817
                                  -1.8          0.00     20.6296
                                  -1.7          0.00     27.4408
                                  -1.6          0.00     34.1022
                                  -1.5          0.00     40.5994
                                  -1.4          0.00     46.9169
                                  -1.3          0.00     53.0372
                                  -1.2          0.00     58.9414
                                  -1.1          0.00     64.6087
                                  -1.0          0.00     70.0166
                                  -0.9          0.00     75.1411
                                  -0.8          0.00     79.9565
                                  -0.7          0.00     84.4361
                                  -0.6          0.00     88.5527
                                  -0.5          0.00     92.2795
                                  -0.4          0.00     95.5914
                                  -0.3          0.00     98.4662
                                  -0.2          0.00    100.8863
                                  -0.1          0.00    102.8397
                                   0.0 +        0.00    104.3216 *
                                   0.1          0.00    105.3346 *
                                   0.2          0.00    105.8887 *
                                   0.3          0.00    106.0009 <
                                   0.4          0.00    105.6934 *
                                   0.5          0.00    104.9925 *
                                   0.6          0.00    103.9270
                                   0.7          0.00    102.5262
                                   0.8          0.00    100.8194
                                   0.9          0.00     98.8343
                                   1.0          0.00     96.5970
                                   1.1          0.00     94.1312
                                   1.2          0.00     91.4583
                                   1.3          0.00     88.5974
                                   1.4          0.00     85.5654
                                   1.5          0.00     82.3772
                                   1.6          0.00     79.0461
                                   1.7          0.00     75.5836
                                   1.8          0.00     72.0001
                                   1.9          0.00     68.3046
                                   2.0          0.00     64.5053

                              < - Best Lambda
                              * - Confidence Interval
                              + - Convenient Lambda

                                     Box-Cox Transformation     
                                            Defaults

                                     The TRANSREG Procedure

                 TRANSREG Univariate Algorithm Iteration History for BoxCox(rad)

            Iteration    Average    Maximum                Criterion
               Number     Change     Change    R-Square       Change    Note
            ------------------------------------------------------------------------
                    1                                                   Constant
                    1    0.00000    0.00000     0.00000                 Converged

           ERROR: Constant transformations during the last iteration.


                                   Iteration History Footnotes

Iteration
   Number Note           Explanation
-------------------------------------------------------------------------------------
        1 Constant       A constant transformation was avoided for rad.
        1 Converged      Algorithm converged.


                              Model Statement Specification Details

   Type     DF    Variable         Description        Value

   Dep       1    BoxCox(rad)      Lambda Used        0.3
                                   Lambda             0.3
                                   Log Likelihood     106.0
                                   Conv. Lambda       0
                                   Conv. Lambda LL    104.3
                                   CI Limit           104.1
                                   Alpha              0.05

   Ind       0    Identity(one)    Options            All Zero
*/