Isotope ratio analysis indicated that from 3 batches of Angus steak that were ad

Question

Isotope ratio analysis indicated that from 3 batches of Angus steak that were advertised as coming from Scotland, only one actually came from Scotland. You wanted to test how well your steak experts could identify the true Scottish Angus steak by taste. The three types of steak were prepared in identical ways and given to the experts, who scored them according to how confident they were that they were true Scottish Angus. You wanted to see if the experts could distinguish the true steak from the fakes. You repeat the experiment three times using the same batch of expert and you computed the mean scores for every batches to see if there were any significant differences. What statistical test should you use?

Two-way ANOVA with interaction

2.

You want to see how trained taste testers for hot peppers improve as they get more practice. You think that some might get less sensitive over time, because of desensitization to capsaicin. You test them after one, two and three years of practice, giving them numerical scores for each test. You want to see if there is a significant difference between the mean scores after one, two and three years of practice. Which statistical test should you use?

3.

A trainer wants to know if his sprinters perform better after taking magic pills. He divides his athletes into four groups: those taking no magic pills, those taking one pill, those taking two pills and those taking three. He arranges for them all to run 100 meters and times them. TLJse taking three pills die of heart attacks during the sprint and the trainer finds a crooked doctor to cover up his crime. So he is left with only three groups. He repeats the experiment so that each group of sprinters runs in the 'no pill', 'one pill' and 'two pills' condition. Having counterbalanced for order effects, he calculates the mean times for the 'no pill', 'one pill' and 'two pills' experimental conditions. He wants to see if there was a significant difference. What statistical test does he use?

Explanation / Answer

For question 2

Here there are more than 3 different years in which we check so we will use ANOVA here. Now, we wil see it is with interaction or without interaction. For a two way ANOVA, there must be 2 categorical explanatory variables that are defined in such a way that each experimental unit (subject) can be exposed to any combination of one level of one explanatory variable and one level of the other explanatory variable. But here we dont have 2 different categorical explanatory variable so we will use "Completely Randomized ANOVA" Or one way ANOVA.

FOr question 3

Here, also there are no interaction invloved between variables. There are only categorical variable, which is "number of pill" so option D is eliminated. CHi-square (two way) is also not applicable here as it is a experimental study. Now we can see that repeated measures were taken to get the ANOVA results. So, option C is correct here., which is one-way ANOVA with repeated measures.

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