请教一个mixed model 问题

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如下SAS程序，为什么要把 intercept 作为随机效应? 只放nap结果貌似一样。第二个问题random intercept nap/ subject=beach;这里面subject=beach是什么意思？多谢指导！

SAS程序
proc mixed data=rikz;
class beach;
model richness=nap /intercept;
random intercept nap/ subject=beach;
run;

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关键词：mixed model Mixed model mode del

subject=beach, here means that for each beach (a Class variable) we will treat the intercept is from a distribution, that means there is variability between two beaches.

Just like in clinicla trial, we model the longitudinal data of many patients, subject=patientID, means that each patient intercept may be variable.

Hope it is helpful to you.