R中的重复测量方差分析（混合模型？）

Question

I have a data set that I am trying to analyze across both JMP and R that contains 4 columns and 468 rows.

    ID     Treatment    Time     Response
H1                 T      10             28
H1                 T      20             0
H1                 T      30             0
H1                 T      40             0
H1                 Y      10             12
H1                 Y      20             5
H1                 Y      30             24
H1                 Y      40             28
H2                 T      10             4
H2                 T      20             12
H2                 T      30             4
H2                 T      40             0
H2                 Y      10             44
H2                 Y      20             12
H2                 Y      30             23
H2                 Y      40             11

My full data set contains 13 subjects (represented by ID) each that receive two treatments and are measured 18 times. I am trying to figure out the best way to run a repeated measures analysis on this data.

I was using the formula am1 <- aov(Response ~ Treatment + (ID/Time), data = df) but my degrees of freedom appeared off to my colleague so I ask your help on the best approach to go about this problem. I have my data set up for a univariate approach I believe but any help is appreciated. Thanks

Answer 1

假设您的数据是平衡的，则可以在公式中指定一个Error项，这是？aov中的示例：

 npk.aovE <- aov(yield ~  N*P*K + Error(block), npk)