Friday, February 1, 2013

PROC LOGISTIC - param=ref

Example -1


 

PROC LOGISTIC DATA=sales descending;

CLASS gender (param=ref ref='M');

MODEL purchase = gender;

RUN;



descending; The descending option will model the probability that a customer places an order of $100 or more (response 1). Otherwise, by default, the response 0 would be modeled.



param=ref ref='M' The param option specifies the parametrization of the model that will be used, which in this example is reference cell coding, i.e. the females will be compared to the males (reference group because of ref='Male').

If there are more than two categories in our independent variable, for interpretation we have to use param option.





Example -2



http://www.ats.ucla.edu/stat/sas/faq/proc_logistic_coding.htm



proc logistic data = mydir.hsb2m descending;

class ses (ref='3') / param = ref ;

model hiread = write ses ;

run ;



Looking at the output (below), the coding system shown in the "Class Level Information" section of the output is for two dummy variables, one for category 1 versus 3, and one for category 2 versus 3. Note two other things in the output below. First, that the coefficients in this model are consistent with the odds ratios. That is, exp(-0.9204) = 0.398 and exp(-0.3839) = 0.681. The second thing to notice is that the odds ratios from this model are the same as the odds ratios above. This is expected, since, SAS always uses dummy coding to compute odds ratios, all that has changed is how the categorical variable ses is being parameterized in the part of parameter estimates.



   Class Level Information

                      

Class     Value     Variables Design

SES        1          1      0

          2          0      1

          3          0      0



              Analysis of Maximum Likelihood Estimates

                                 Standard          Wald

Parameter      DF    Estimate       Error    Chi-Square    Pr > ChiSq

Intercept       1     -7.6872      1.3697       31.4984        <.0001

WRITE           1      0.1438      0.0236       37.0981        <.0001

SES       1     1     -0.9204      0.4897        3.5328        0.0602

SES       2     1     -0.3839      0.3975        0.9330        0.3341

              Odds Ratio Estimates

                   Point          95% Wald

Effect          Estimate      Confidence Limits

WRITE         1.155       1.102       1.209

SES   1 vs 3       0.398       0.153       1.040

SES   2 vs 3       0.681       0.313       1.485

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