Validation rule for your conditions:
RecordType = "Clinical Studies"
Status__c = "Draft"
Start_Date__c && End_Date__c are changed.
Date_Change_Reason__c should not be null.
AND( $RecordType.Name = "Clinical Studies", ISPICKVAL(Status__c,"Draft"), ISCHANGED(Start_Date__c), ISCHANGED(End_Date__c), NOT( ISBLANK(Date_Change_Reason__c)))