Question

Suppose we are studying the effect of diet on height of children, and we have two diets to compare: diet A (a well-balanced diet with lots of broccoli) and diet B (a diet rich in potato chips and candy bars). We wish to find the diet that helps children grow faster. We have decided to use 20 children in the experiment, and we are contemplating the following methods for matching children with diets: i. Let them choose. ii. Take the first 10 for A, the second 10 for B. iii. Alternate A, B, A, B. iv. Toss a coin for each child in the study: heads→A, tails→B. v. Get 20 children; choose 10 at random for A, the rest for B. Describe the benefits and risks of using these five methods

Answer 1

Answer:

Here we can say that the fourth and fifth strategies are the most proper techniques.

And the other 3 techniques are off-base i.e., risk

In the fourth strategy the kids are being chosen random for diet A and B. There is no biasness in this procedure. In this strategy the likelihood of choosing one kid for diet A is

= 10C1 / 20C1

= 10 / 20

= 1 / 2

= 0.5

The likelihood of choosing one kid for diet B is  

= 10C1 / 20C1

= 10 / 20

= 1 / 2

= 0.5

In the fifth strategy the kids are being chosen for diet A and B relying upon the consequence of a coin toss, which is an arbitrary examination. So there is no biasness in this procedure (If the coin is fair-minded).

In this strategy the likelihood of choosing one kid for diet A is P(Head) = 0.5 and the likelihood of choosing one kid for diet B is P(Tail) = 0.5.

Be that as it may, in the first strategy on the off chance that we let the youngsters select the weight control plans they will go for their diet, which they likes. So it will be a one-sided process. The test result will be one-sided.

Also, in the second and third strategy the determination procedure is affected by the courses of action of the youngsters. So these techniques are likewise one-sided i.e., biased.

Also, we realize a one-sided (biased) technique gives a one-sided result and a fair strategy (unbiased) gives the right outcome.

So the fourth and fifth techniques are most suitable (benefit) and the other three are risk.