Question

An ichthyologist compared the respiratory rate (gill beats/min) of three species of cichlid fish (spA, spB, spC) while resting. This researcher is keenly interested in these three species and ahs been studying them for 30 years. The experimenter could not measure all the individuals to sample in the same day at the target sample size, so, by necessity measurements were made on different fish (27 different fish measure in all) over three says. Analyze her results.

Would this be a one way ANOVA test?

Answer 1

It has to be noted that taking a size of 3 fishes of 3 species along 3 given days, we have taken a sample size of 27 fishes. That is (3 fishes)*(3 species)*(3 days) = 27 fishes.

On each different day considering different humidity and different temperature on each given day, it can be noted that each constraint affects the breathing rate of the fishes. Thus, each time a measurement is taken it is being affected by the dependent variable, i.e, the breathing rate. So by considering the above factors, it has to be noted that there are two independent variables, namely, the species of the fish to be measured and the time/day on which the measurement is taken. Thus, this would be a two way ANOVA and not a one way ANOVA.