I'm measuring a particular property of worms (e.g. length, speed, ...). The worms are subdivided in 3 treatments (genetic strains) and each treatment group consists of 15 individuals. I replicated the experiment 3 times, by measuring the given property in each treatment for 3 days in a row. Please note that I did not measure the same individual multiple times, worms were thrown in the trash at the end of the day and fresh worms were used the next day.
According to my interpretation, since I measured each individual only once, I made 3 biological replicates and not 3 technical replicates. I continued by merging the data of the 3 replicates and went for one-way ANOVA with "genetic strain" as the only factor.
My supervisor, however, believes that merging replicates and not incorporating them into the ANOVA analysis will reduce the test's power. Therefore, I'm looking for a statistically well-supported answer to this issue. Should I continue by merging the replicates or should I incorporate them in the analysis?
P.S. I have the same question when doing a t-test (in that case, 3 replicates of 2 genetic strains).