Here is my data:

_ I measured the response of a variable "Y" to 3 different treatments over time. "Treatment" is hence a 3 levels factor and "Time" is a continuous and numeric variable (unit=hours, from 1 to 6, time step=1).

_ In each experimentation, 1 and only 1 treatment was applied on the same individual over time (6h). Each treatment was replicated 10 times, but each replicate was done on different individuals.

My question is: Do I have to consider the error term du to the variability between individuals?

Like this--> model=lm(Y ~ Treatment * time + Error(Individual/Time)) ... or is it unnecessary because each experimentation is done on a different individual? I don't know yet how to add this error term if needed, just wondering about it.

It is not clear for me, and I didn't found any clear answer in the different questions asked on "Cross Validated". Thanks for your help!

Here is my data:

_ I measured the response of a variable "Y" to 3 different treatments over time. "Treatment" is hence a 3 levels factor and "Time" is a continuous and numeric variable (unit=hours, from 1 to 6, time step=1).

_ In each experimentation, 1 and only 1 treatment was applied on the same individual over time (6h). Each treatment was replicated 10 times, but each replicate was done on different individuals.

My question is: Do I have to consider the error term due to the variability between individuals?

Like this--> model=lm(Y ~ Treatment * time + Error(Individual/Time)) ... or is it unnecessary because each experimentation is done on a different individual? I don't know yet how to add this error term if needed, just wondering about it.

It is not clear for me, and I didn't found any clear answer in the different questions asked on "Cross Validated". Thanks for your help!

Here is my data:

_ I measured the response of a variable "Y" to 3 different treatments over time. "Treatment" is hence a 3 levels factor and "Time" is a continuous and numeric variable (unit=hours, from 1 to 6, time step=1).

_ In each experimentation, 1 and only 1 treatment was applied on the same individual over time (6h). Each treatment was replicated 10 times, but each replicate was done on different individuals.

My question is: Do I have to consider the error term du to the variability between individuals?

Like this--> model=lm(Y ~ Treatment * time + Error(Individual/Time)) ... or is it unnecessary because each experimentation is done on a different individual?

It is not clear for me, and I didn't found any clear answer in the different questions asked on "Cross Validated". Thanks for your help!

Here is my data:

_ I measured the response of a variable "Y" to 3 different treatments over time. "Treatment" is hence a 3 levels factor and "Time" is a continuous and numeric variable (unit=hours, from 1 to 6, time step=1).

_ In each experimentation, 1 and only 1 treatment was applied on the same individual over time (6h). Each treatment was replicated 10 times, but each replicate was done on different individuals.

My question is: Do I have to consider the error term du to the variability between individuals?

Like this--> model=lm(Y ~ Treatment * time + Error(Individual/Time)) ... or is it unnecessary because each experimentation is done on a different individual? I don't know yet how to add this error term if needed, just wondering about it.

It is not clear for me, and I didn't found any clear answer in the different questions asked on "Cross Validated". Thanks for your help!