I SYSTEMATIC SELECTION The administrative ledger is as bellow Date Voucher Amount Requirement Select a sample of 4 transactions from population, using monetary unit sampling with systematic selection Use staring point of 469 Without replacement in sample selection 11132018 PC01 300 11152018 PC03 100 11172018 PC05 56 11222018 PC07 450 11292018 PC11 333 12132018 PC13 1,511 12182018 PC14 567 12252018 PC17 2,017 12302018 PC19 368 12312018 PC20 422 Step 1 Compute accumulated numbe.
Trang 1I SYSTEMATIC SELECTION
The administrative ledger is as bellow:
Requirement:
Select a sample of 4 transactions from population, using monetary unit sampling with systematic
selection
Use staring point of 469 Without replacement in
sample selection
11/13/2018 PC01 300
11/15/2018 PC03 100
11/17/2018 PC05 56
11/22/2018 PC07 450
11/29/2018 PC11 333
12/13/2018 PC13 1,511 12/18/2018 PC14 567
12/25/2018 PC17 2,017 12/30/2018 PC19 368
12/31/2018 PC20 422
Step 1: Compute accumulated number Date Voucher Amount accumulate d number 11/13/2018 PC01 300
3
00 11/15/2018 PC03 100
4
00 11/17/2018 PC05 56
4
56 11/22/2018 PC07 450
9
06 11/29/2018 PC11 333
1,
239 12/13/2018 PC13 1,511 2,
750 12/18/2018 PC14 567
3,
317 12/25/2018 PC17 2,017 5,
334 12/30/2018 PC19 368
5,
702 12/31/2018 PC20 422 6,124 Step 2: Compute sampling interval Sampling interval (K) = Population size Sample size Sampling interval (K) = 6,124 = 1531 4 Step 3: Identify starting point: Xo = 469 Step 4: Determine the random number throught sample interval M1 = 469 M2 = 2,000 M3 = 3,531
Trang 2M4 = 5,062 Sterp 5: Select the sample from the population
Note: the accumulated number is larger than the random number and the closet to the random number
The Result
Accumulate
d number Note
1 469 906
2 2,000 2750
3 3,531 5334
4 5,062 5702 Because without replacement
Conclusion: The voucher PC07, PC13, PC17, PC19 were selected
The administrative ledger is as bellow:
Date Voucher Amount
11/13/2018 PC01
4
Select a sample of 4 different transactions from population, using monetary unit sampling with random number table Use staring point of column 1 row 2
11/15/2018 PC03
5
15 11/17/2018 PC05
56 11/22/2018 PC07
4
50 11/29/2018 PC11
3
33 12/13/2018 PC13
1,0
11 12/18/2018 PC14
5
67 12/25/2018 PC17
2,0
17 12/30/2018 PC19
3
68 12/31/2018 PC20
4
22 Step 1: Compute accumulated number
Date Voucher Amount accumulate d number
11/13/2018 PC01
4
00
4
00 11/15/2018 PC03
5
15
9
15 11/17/2018 PC05
56
9
71 11/22/2018 PC07
4
50
1,
421
Trang 311/29/2018 PC11
3
33
1,
754 12/13/2018 PC13
1,0
11
2,
765 12/18/2018 PC14
5
67
3,
332 12/25/2018 PC17
2,0
17
5,
349 12/30/2018 PC19
3
68
5,
717 12/31/2018 PC20
4
22
6,
139 The population of 10 transactions is ranging from 1 VNĐ to 6,139 VNĐ
Step 2: The relationship between the accumulated number and the number in random number table: 4/5
Step 3: Determine the route using the random number table: Up to down and left to right
Step 4: Determine the starting point: Row 2 column 1
Xo =
2,2
36 The first four digits Step 5: Select the random number by using random number table
Step 6: Select the sample from the population
Note: the accumulated number is larger than the random number and the closet to the random number
The Result
No
Random number
Accumulate
d number Transaction Amount Note
1 2,236 2765 PC13 1011 Slecected
2
2,4
Not select because without replacement
3
4,2
4
3,7
replacement 5
2,8
Conclusion: The voucher PC05, PC13, PC14, PC17 were selected
Random number table
Trang 49 89579 14342 63661 10281 17453 18103 57740