In Example
3.7 (p. 235) of the textbook, you learned how to use Table B to select
30 two-digit
labels. In this Exercise, you will learn to use Random Number Generation
(RNG) instead of Table B.
In Example 3.7, you need to get the two-digit
labels from 01 to 30 in a random order.
Here is an easy way to do it:
Fill the column A1:A30 with the numbers
1 to 30. These are the labels for the 30 rats.
Then open the "Random Number Generation
" window from the Data Analysis tool box.
Select 1 Variable, 30 Random
Numbers and the "Uniform" distribution between 0 and 1
; then choose
the Output Range to start in cell
B1 .
You will get 30 random numbers between 0 and 1 in the cells B1:B30.
Next, "SORT" the columns A1:B30
by column B. You will get the 30 "two-digit labels" from
column A in a random
order. Now you may proceed with
Example 3.7 using these labels: the rats corresponding to yours first 15
labels
are assigned to the "experimental" group;
the remaining 15 rats are the control group. (Of course, your random
assignment is different than the one on page
236 of the textbook.)
The RNG window allows the user to choose a
"Random Seed" so that you can decide whether or not to
reproduce the exact same list of random
numbers: If you input a new seed, then RNG will produce a completely
new list of random numbers; if you input the
same seed again, then RNG will reproduce the same exact list of
random numbers. Setting a Random
Seed is similar to using Table B by starting at a specified row.
Generate 3 new lists of random numbers,
each of length 30, in columns C, D, and E.
For columns C and D use seed 23, and
for column E use seed 531. (If you hate the number 23, use your birthday
instead.)
Observe that the lists in columns C and D are identical, but column E is
different. Goood!
This procedure to get numerical "labels" in a random order could be used
instead of Table B
for
any exercise which requires randomization.
PLEASE
use the "Random Seed" 1016 for both textbook exercises 3.14 and 3.32.
Then
all students will generate the same sequence of numbers, and the grading
becomes
simpler. Thanks!
Question for textbook Ex. 3.14. Hand in an Excel worksheet
showing the "2-digit" labels in column A, the
corresponding
uniform random numbers in column B, and the corresponding subject names in
column C.
Also,
clearly indicate on the list which subjects are assigned to the experimental
group, and which are
assigned
to the control group.
For textbook Ex. 3.32:
Part (a): Within each block, leave the subjects in order of increasing Excess Weight (EW).
Part (b):
To randomly assign treatments, use a single sequence consisting of twenty
Uniform Random Numbers (URN) based on the seed 1016. Be sure you understand
what bias would be introduced if,
instead,
we had used the same sequence of four uniform random numbers (with seed 1016)
within
each
block.
Hand in an Excel worksheet with your results in columns A:E under the following
respective
headings:
Block #, Name, EW, URN, Treatment.