91影视

We need to explain the statement "If the five most obese women were given Treatment $A$, the next most obese women were given Treatment $B$, and so on, the level of obesity and the type of treatment would be muddled".

We know that

• When the effects of two variables on the same response variable cannot be distinguished, they are said to be confused.
• Because the five most overweight women are assigned to treatment $A$, the next five most overweight women are assigned to treatment $B$, and so on, we cannot conclude that the variations in the treatments are due to the treatments (for treatment $C$and treatment $D$).

The discrepancies between the treatment groups could therefore be attributed to the participants' weight rather than the treatment itself, confounding the degree of overweight and the type of treatment.

We need to find the reason for randomly assigning the women to treatments using a randomized block design.

We know that

One person in each block is randomly assigned to treatment $A$, one of the remaining individuals in each block is randomly allocated to treatment $B$, one of the remaining people in each block is randomly assigned to treatment $C$, and the other people are all assigned to treatment $D$.

Compare the weight loss for the different blocks and treatments after $8$weeks of treatment.

We need to assign the random values.

Let us begin from row $115$in table $D$i.e.

$61041776849432224709736981452631893325921445926056$

Select the first digit and if digit is between one and four then it is assigned to treatment $A$otherwise ignore the digit and select next one. repeat this for all the treatments and blocks.

Therefore, random assignment may be,

Treatment $A$is Williams, Kendall, Brunk, Brown, Tran.

Treatment $B$is Moses, Smith, Loren, Jackson, Birnbaum.

Treatment $C$is Hernandez, Mann, Obrach, Stall, Wilansky.

Treatment $D$is Deng, Santiago, Rodriguez, Cruz, Nevesky.