I hope someone can help me with this issue in estimating the below model

The model includes :
  • The dependent variable is the proportion of female directors by detailed occupation fields ( 144 field) and by college cohort ( 8 cohorts) .
  • The key independent variable is the proportion of females by detailed education fields ( 133 field) and by college cohort (8 cohorts) .
  • The control set includes a set of variables .
  • I used ordinary least square to examine the association between the key independent variable and dependent variable.
  • Standard Errors are clustered by detailed occupation fields ( 144 field) , detailed education fields (133 field) and college cohort to control for within variation in these groups
  • I use repeated cross sectional surveys to estimate the above model

My question: do I need to add detailed occupation fields (144 fields) , educational fields (133 field) , college cohort dummies as fixed effects in the model?