As subjects arrive to participate in an experiment, tables of random numbers are
ID: 3042714 • Letter: A
Question
As subjects arrive to participate in an experiment, tables of random numbers are used to make random assignments to either group A or group B. (To ensure equal numbers of subjects in the two groups, alternate subjects are automatically assigned to the other, smaller group.) Indicate with a Yes or No whether each of the following rules would work: a. Assign the subject to group A if the random number is even and to group B if the random number is odd. b. Assign the subject to group A if the first digit of the random number is between 0 and 4 and to group B if the first digit is c. Assign the subject to group A if the first two digits of the random number are between 00 and 40 and to group B if the first d. Assign the subject to group A if the first three digits of the random number are between 000 and 499 and to group B if the between 5 and 9. two digits are between 41 and 99. first three digits are between 500 and 999.Explanation / Answer
a) If we consider 0 is also even then the rule a) will work otherwise it is not work
Because there are 5 odd numbers as 1, 3, 5, 7, and 9
and only four even number as 2, 4, 6, and 8, so for gettingequal proportion we need to define 0 as a even number.
b) this rule is always work because both the groups have same proportion based on first five and last five digits of the random number.
c) the chance of group A is only (41/100) but the chance of group B is (69/100) so this rule is not work.
d)Yes this rule also work because the chances of A and B are (500/ 1000) and (500/1000) respectively.
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