Chapter 21 Appendix G: Random Numbers 21.1 Appendix G Items 1) If the sequence in the random number table is 83118 14731 72347 05185, and you want to randomly assign the first 10 participants to five conditions, the sequence will be A) 3, 1, 1, 1, 4, 3, 1, 2, 3, 4 B) 3, 1, 2, 5, 1, 4, 3, 1, 1, 3 C) 8, 3, 1, 1, 8, 1, 4, 7, 3, 1 D) 3, 1, 4, 2, 5, 3, 1, 4, 2, 5 Answer: A Rationale: The sequence "83118 14731 72347 05185" is divided into pairs: "83", "11", "81", "47", "31", "72", "34", "70", "51", "85". Each pair corresponds to a number from 1 to 5. Thus, the assignment of participants to conditions would be: 3, 1, 1, 1, 4, 3, 1, 2, 3, 4. 2) If the sequence in the random number table is 83118 14731 72347 05185, and you want to randomly assign the first four participants to four conditions, the sequence will be A) 3, 1, 1, 1 B) 3, 1, 2, 1 C) 8, 3, 1, 1 D) 3, 1, 4, 2 Answer: A Rationale: Following the same logic as in the previous question, the assignment of the first four participants to four conditions would be: 3, 1, 1, 1. 3) If the sequence in the random number table is 83118 14731 72347 05185, and you want to assign the first four participants randomly within blocks to four conditions, the sequence will be A) 3, 1, 1, 1 B) 3, 1, 2, 1 C) 8, 3, 1, 1 D) 3, 1, 4, 2 Answer: D Rationale: When assigning participants randomly within blocks, each block of digits (e.g., "83", "11") is treated as a separate group. Thus, the assignment would be based on the individual digits, resulting in: 3, 1, 4, 2. 4) Assume that you will draw a five-person sample from an accessible population of 999 people. You give each person in the accessible population a number from 1 to 999. If you use the following sequence of random numbers to select your sample, what participant numbers would you select? Assume that you will break down the random numbers into three-digit sequences. (25201 25018 36329 37621 52473 91771 33829) A) 252, 125, 183, 632, 937 B) 252, 250, 363, 376, 524 C) 252, 12, 501, 836, 329 D) 201, 18, 329, 621, 473 Answer: C Rationale: Breaking down the random numbers into three-digit sequences gives: 252, 012, 501, 836, 329. These correspond to the participant numbers selected from the accessible population. 5) Suppose you want to randomly assign 12 participants to four groups using the table of random numbers, and the row that you randomly select to use has the following numbers: 64464 64360 11288 58910 81545 82163 03895 18109. Which numbered group would have the most participants? A) 1 B) 2 C) 3 D) 4 Answer: D Rationale: Counting the occurrences of each group number in the sequence: Group 1: 4, Group 2: 4, Group 3: 2, Group 4: 2. Therefore, Group 1 would have the most participants. 6) Suppose you want to randomly assign 12 participants to four groups using the table of random numbers, and the row that you randomly select to use has the following numbers: 64464 64360 11288 58910 81545 82163 03895 18109. What would be the range of sample sizes in each group? A) one to five B) three in each group C) three to four D) Unable to tell from this information Answer: A Rationale: Counting the occurrences of each group number in the sequence: Group 1: 4, Group 2: 4, Group 3: 2, Group 4: 2. The range of sample sizes in each group would be from one to five. Test Bank for Research Methods: A Process of Inquiry Anthony M. Graziano, Michael L. Raulin 9780205900923, 9780205907694, 9780135705056
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