Which ANOVA type to apply in experimental design with replication?

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Baris Kara
Baris Kara 2021-12-22
评论： Baris Kara 2022-1-7
With the given experimental degisn below, I have to apply ANOVA test in order to test the significance of changing temperature and reaction time. The experiment included 2 temp. levels (50 60) and 4 time levels (20 30 50 68) - Test 1. After Test 1, the experiment is replicated with new samples to give Test 2.
I am confused how to apply ANOVA test with this experimental design as I have different levels for the factors and replication. I am also confused if I should apply One-way ANOVA or Two-way ANOVA.
Any information that would improve my understanding of ANOVA is appreciated.
In advance, thanks for all the support.

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采纳的回答

Cris LaPierre
Cris LaPierre 2021-12-24
It's best for you to make that call, but here are the relevant pages:
A quick observation is that only 2-way anova talks about replication.

更多回答（1 个）

Ive J
Ive J 2021-12-29
You have repeatedly measured the outcome, so this would be a two-way (two categorical independent variables) repated-measures ANOVA. see this example.
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Ive J
Ive J 2021-12-31
编辑：Ive J 2021-12-31
Sorry for my sloppiness, my original answer is incorrect, your problem seems a mixed ANOVA with one within subject (time) and one between subject (temperature) factor. Note that, I'm not talking about replication here, but about time factor. In your case, time is not a between-subject factor (ergo you should not use a two-way ANOVA) because you are measuring the response/outcome of the same sample/subject over time; therefore, there is a correlation/relatedness among the subjects.
To better understand this, consider a case when you have several patients and you measure the effect of a treatment over time. Here, time is not a betwee-subject, but a within-subject factor, because the same individual is followed/observed over time.
Baris Kara
Baris Kara 2022-1-7
Thank you very much for this detailed description Ive J, I have better understanding of the situation now!

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