Μέθοδος Bootstrap
Κώστας Κούδας
2025-08-25
Πολλές φορές χρειαζόμαστε να κάνουμε μια εκτίμηση για κάποιο στατιστικό μέγεθος ενός πληθυσμού, όπως π.χ. η τυπική του απόκλιση ή η μέση τιμή του. Ναι μεν μπορούμε να κάνουμε μια εκτίμηση για τη μέση τιμή ενός πληθυσμού (βλ. ενότητα Εκτίμηση μέσης τιμής), αλλά για την τυπική απόκλιση τα πράγματα διαφοροποιούνται, ενώ παράλληλα τα διαστήματα εμπιστοσύνης έχουν κάποιες παραπάνω απαιτήσεις. Και καλώς ή κακώς υπάρχουν ένα σορό στατιστικά μεγέθη. Θα είναι δύσκολο να διαχειριστούμε τη θεωρία και τις απαιτήσεις για όλα αυτά.
Εδώ θα χρησιμοποιήσουμε μία μέθοδο, η οποία έχοντας ένα δείγμα μπορεί να κάνει κάποιες εκτιμήσεις για οποιοδήποτε στατιστικό μέγεθος θέλουμε που να αφορά τον πληθυσμό. Αυτή είναι η μέθοδος Bootstrap και θα την χρησιμοποιήσουμε για να κάνουμε κάποιες εκτιμήσεις για τη μέση τιμή, τη διάμεσο, την τυπική απόκλιση και την τυπική απόκλιση των εξόδων του του Εθνικού Μουσείου Φυσικής Ιστορίας.
Τα δεδομένα αφορούν τον Ιούνιο του 2023 και τα αποθηκεύσαμε σε ένα αρχείο ονόματι foi-expenditure-over-25000-june-2023.xlsx, φούπρώτα δραγράψαμε τα προηγούμενα.
| Department Famil | |Entity | |Date | |Expense Type | |Expense Area | |Supplier | |Transaction Nu | ber | |
|---|---|---|---|---|---|---|---|
| DCMS | Natural History Museum | 2023-06-08 | Building & Engineering PPM | Estates Buildings Projects | DBR (London) Limited | 03586 | 140251.48 |
| DCMS | Natural History Museum | 2023-06-08 | Estates Property Rates | Estates Management | Royal Borough of Kensington & Chelse | 629799352 JULY 23/24 | 167574.00 |
| DCMS | Natural History Museum | 2023-06-08 | Accommodation | NHM_Unlocked Programme (Estates) | Key Travel Ltd | 51903560 | 309.62 |
| DCMS | Natural History Museum | 2023-06-08 | Accommodation | NHM_Unlocked Programme (Science) | Key Travel Ltd | 51903560 | 309.62 |
| DCMS | Natural History Museum | 2023-06-08 | Accommodation | NHM_Unlocked Programme (Science) | Key Travel Ltd | 51903560 | 309.62 |
| DCMS | Natural History Museum | 2023-06-08 | Accommodation | NHM_Unlocked (Programme Mgmt) | Key Travel Ltd | 51903560 | 309.62 |
| DCMS | Natural History Museum | 2023-06-08 | Estates Outsourced Services | Estates Buildings Ops | CBRE Managed Services Limited | S01083700 | 169886.29 |
| DCMS | Natural History Museum | 2023-06-08 | Agency Staff | Human Resources - Ops | Adecco UK Ltd | 29558369 | 771.51 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | Vital Energi Solutions Ltd | SI-13706 | 3875.83 |
| DCMS | Natural History Museum | 2023-06-08 | Gas | Estates Utilities | Corona Energy Retail 4 Limited | 17579678 | 20970.20 |
| DCMS | Natural History Museum | 2023-06-08 | Gas | Estates Utilities | Corona Energy Retail 4 Limited | 17579679 | 9504.71 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Estates Buildings Projects | Vital Energi Solutions Ltd | SI-13705 | 87011.55 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Estates Buildings Projects | Vital Energi Solutions Ltd | SI-13708 | 14814.00 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086641 | 3114.75 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086640 | 3012.57 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086635 | 2461.76 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086632 | 2401.67 |
| DCMS | Natural History Museum | 2023-06-08 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51951318 | 741.26 |
| DCMS | Natural History Museum | 2023-06-08 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51951318 | 741.26 |
| DCMS | Natural History Museum | 2023-06-08 | Grant Sub Contr./ award payments | Science Research | University of Southampton | 44268943 | 68342.91 |
| DCMS | Natural History Museum | 2023-06-08 | Energy Services Unitary Charge | SS CHP Boilerhouse | Vital Energi Solutions Ltd | SI-13707 | 19530.92 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086451 | 720.22 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086460 | 917.26 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086463 | 944.26 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086481 | 1147.54 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086488 | 1158.47 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086579 | 1488.42 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086594 | 1510.25 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086508 | 1319.47 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086624 | 1999.61 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086653 | 4918.60 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086651 | 4342.99 |
| DCMS | Natural History Museum | 2023-06-08 | Accommodation | Science Research | Key Travel Ltd | 51950236 | 1136.10 |
| DCMS | Natural History Museum | 2023-06-08 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51950521 | 831.21 |
| DCMS | Natural History Museum | 2023-06-08 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51950521 | 889.10 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086627 | 2010.93 |
| DCMS | Natural History Museum | 2023-06-08 | Energy Services Unitary Charge | Estates Utilities | Veolia ES Energy Performance (UK) Ltd | INV0018460 | 27232.31 |
| DCMS | Natural History Museum | 2023-06-08 | Energy Services Unitary Charge | Estates Utilities | Veolia ES Energy Performance (UK) Ltd | INV0018460 | 6096.79 |
| DCMS | Natural History Museum | 2023-06-08 | Energy Services Unitary Charge | Estates Utilities | Veolia ES Energy Performance (UK) Ltd | INV0018460 | 7316.14 |
| DCMS | Natural History Museum | 2023-06-08 | Energy Efficiency Savings | Estates Utilities | Veolia ES Energy Performance (UK) Ltd | INV0018461 | 3949.00 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028272 | 5168.71 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028273 | 1722.90 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028274 | 2322.17 |
| DCMS | Natural History Museum | 2023-06-08 | Scientific Outsourced Services | CRL Imaging & Analytical | CBRE Managed Services Limited | S01086453 | 810.93 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028278 | 550.00 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 6866.15 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 57762.02 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 13545.47 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101027513 | 1964.00 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101027513 | 11611.11 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101027513 | 8800.16 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101027513 | 2585.94 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101027513 | 2030.00 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101027513 | 240.00 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101027513 | 781.01 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101027513 | 1400.61 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 2499.86 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 53846.35 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 22734.57 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 95437.66 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 4716.15 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 10718.16 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 36628.53 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 27910.21 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 2748.33 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 178.64 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 1161.13 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 42520.94 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 44150.34 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 19961.13 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 9485.28 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 38299.97 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 10650.04 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 26921.58 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 63769.91 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 14355.25 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 1708.85 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 1848.63 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 65163.68 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 516.90 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 49614.49 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 17085.07 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 1112.80 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 351.76 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 5052.92 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 10856.67 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 68203.53 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 115116.26 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 81368.82 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 39653.63 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/012 | 69003.66 |
| DCMS | Natural History Museum | 2023-06-08 | Agency Staff | Human Resources - Ops | Adecco UK Ltd | 29519952 | 577.39 |
| DCMS | Natural History Museum | 2023-06-08 | Exhibition Construction / Hire | Public Programme (Temporary Exhibitions) | CBRE Managed Services Limited | S01086636 | 2476.85 |
| DCMS | Natural History Museum | 2023-06-08 | Travel-Air Passenger Transport | ES Mineral & Planetary Sciences Division | Key Travel Ltd | 51951453 | 352.00 |
| DCMS | Natural History Museum | 2023-06-08 | Accommodation | ES Mineral & Planetary Sciences Division | Key Travel Ltd | 51951453 | 211.32 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086474 | 1116.07 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086615 | 1593.44 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086622 | 1817.36 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086644 | 3891.80 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086642 | 3348.63 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086638 | 2579.23 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086631 | 2329.23 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086630 | 2077.95 |
| DCMS | Natural History Museum | 2023-06-08 | Grant Sub Contr./ award payments | Science Research | University of Aberdeen | 3023721 | 61206.20 |
| DCMS | Natural History Museum | 2023-06-08 | Agency Staff | Visitor Experience Donations & Maps | Adecco UK Ltd | 29538782 | 1571.67 |
| DCMS | Natural History Museum | 2023-06-08 | Assets under Construction | Estates Buildings Projects | DBR (London) Limited | 2260/AP00000021 | 515540.77 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086443 | 653.55 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086447 | 710.38 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086455 | 893.99 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086458 | 910.93 |
| DCMS | Natural History Museum | 2023-06-08 | Build & Eng Reactive Maintenance | Estates Buildings Ops | CBRE Managed Services Limited | S01086494 | 1219.00 |
| DCMS | Natural History Museum | 2023-06-08 | Agency Staff | Visitor Experience Cloakroom | Adecco UK Ltd | 29538782 | 1774.23 |
| DCMS | Natural History Museum | 2023-06-08 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29538782 | 226.89 |
| DCMS | Natural History Museum | 2023-06-08 | Agency Staff | Public Programme - Exhibition Sales | Adecco UK Ltd | 29538782 | 2588.65 |
| DCMS | Natural History Museum | 2023-06-08 | Agency Staff | Public Programme - Exhibition Sales | Adecco UK Ltd | 29538782 | 3378.18 |
| DCMS | Natural History Museum | 2023-06-08 | Accommodation | LS Diversity & Informatics Division | Key Travel Ltd | 51946329 | 1873.00 |
| DCMS | Natural History Museum | 2023-06-08 | Electricity | SS HV Ringmain | EDF Energy Cust Field Services | 000015343870 | 439678.30 |
| DCMS | Natural History Museum | 2023-06-08 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51943988 | 3680.43 |
| DCMS | Natural History Museum | 2023-06-19 | Grant Sub Contr./ award payments | Science Research | Universiti Malaya | 1800038839 | 30595.92 |
| DCMS | Natural History Museum | 2023-06-21 | Equip. Maint. & Repairs (non IT) | CRL Imaging & Analytical | Cameca | FASE2023.06-006 | 44489.91 |
| DCMS | Natural History Museum | 2023-06-22 | Prof. Fees excl Legal & Audit | NHM_Unlocked Programme (Estates) | CPC Project Services LLP |
|
23538.00 |
| DCMS | Natural History Museum | 2023-06-22 | Accommodation | Science Collections | Key Travel Ltd | 51960727 | 1100.72 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | Sci Directorate | Key Travel Ltd | 51964320 | 1181.70 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Human Resources - Ops | Adecco UK Ltd | 29541515 | 577.39 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Olympic Construction Ltd | 14698 | 20251.50 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Olympic Construction Ltd | 14698 | 11098.50 |
| DCMS | Natural History Museum | 2023-06-22 | Accommodation | Science Research | Key Travel Ltd | 51961425 | 222.48 |
| DCMS | Natural History Museum | 2023-06-22 | Accommodation | Science Research | Key Travel Ltd | 51961425 | 114.71 |
| DCMS | Natural History Museum | 2023-06-22 | Accommodation | Science Research | Key Travel Ltd | 51961425 | 205.30 |
| DCMS | Natural History Museum | 2023-06-22 | Accommodation | Science Research | Key Travel Ltd | 51961427 | 779.10 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | CBRE Managed Services Limited | S01086597 | 2042.08 |
| DCMS | Natural History Museum | 2023-06-22 | Building & Engineering PPM | Estates Buildings Projects | CBRE Managed Services Limited | S01086588 | 1680.43 |
| DCMS | Natural History Museum | 2023-06-22 | Building & Engineering PPM | Estates Buildings Projects | CBRE Managed Services Limited | S01086580 | 6711.63 |
| DCMS | Natural History Museum | 2023-06-22 | Special Event Costs | Visitor Events | Wilson James Limited | 90085806 | 835.67 |
| DCMS | Natural History Museum | 2023-06-22 | Accommodation | Science Research | Key Travel Ltd | 51960358 | 534.10 |
| DCMS | Natural History Museum | 2023-06-22 | Special Event Costs | Visitor Events | Wilson James Limited | 90085803 | 2768.01 |
| DCMS | Natural History Museum | 2023-06-22 | Special Event Costs | Visitor Events | Wilson James Limited | 90085803 | 2728.58 |
| DCMS | Natural History Museum | 2023-06-22 | Estates Outsourced Services | Estates Security SK | Wilson James Limited | 90085786 | 12200.87 |
| DCMS | Natural History Museum | 2023-06-22 | Exceptional Costs | SS CHP Boilerhouse | The Environment Agency | NC11730-P3-10 | 4400.89 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | Science Collections | Key Travel Ltd | 51959216 | 1173.11 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51958656 | 1037.81 |
| DCMS | Natural History Museum | 2023-06-22 | Estates Outsourced Services | Estates Security SK | Wilson James Limited | 90085056 | 20591.93 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028276 | 1400.61 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51957230 | 2239.18 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51957934 | 861.56 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | Science Research | Key Travel Ltd | 51957934 | 861.56 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028276 | 1964.00 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028276 | 11611.11 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028276 | 8800.16 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028276 | 2585.94 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028276 | 2030.00 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028276 | 240.00 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028276 | 781.01 |
| DCMS | Natural History Museum | 2023-06-22 | Prof. Fees excl Legal & Audit | NHM_Unlocked Programme (Estates) | CPC Project Services LLP |
|
25054.00 |
| DCMS | Natural History Museum | 2023-06-22 | Hospitality | Comms - Media Relations | Wilson James Limited | 90085796 | 578.55 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Finance | Adecco UK Ltd | 29498118 | 694.80 |
| DCMS | Natural History Museum | 2023-06-22 | Special Event Costs | Membership | Wilson James Limited | 90085801 | 620.56 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | LS Insects Division | Key Travel Ltd | 51965914 | 683.42 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | LS Insects Division | Key Travel Ltd | 51965914 | 683.42 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | CBRE Managed Services Limited | S01086619 | 66093.96 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | CBRE Managed Services Limited | S01086613 | 1146.21 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | CBRE Managed Services Limited | S01086610 | 1559.89 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | CBRE Managed Services Limited | S01086558 | 5123.00 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | LS Diversity & Informatics Division | Key Travel Ltd | 51960558 | 1207.77 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | LS Vertebrates Division | Key Travel Ltd | 51967795 | 2238.27 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Membership | Adecco UK Ltd | 29561315 | 127.28 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Membership | Adecco UK Ltd | 29561315 | 143.19 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Membership | Adecco UK Ltd | 29561315 | 113.75 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Membership | Adecco UK Ltd | 29561315 | 127.28 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Membership | Adecco UK Ltd | 29561315 | 111.37 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Membership | Adecco UK Ltd | 29561315 | 107.87 |
| DCMS | Natural History Museum | 2023-06-22 | Accommodation | Engagement Group (MPG) | Key Travel Ltd | 51964813 | 558.97 |
| DCMS | Natural History Museum | 2023-06-22 | Accommodation | Sci Directorate | Key Travel Ltd | 51966838 | 2178.10 |
| DCMS | Natural History Museum | 2023-06-22 | Travel-Air Passenger Transport | Sci Directorate | Key Travel Ltd | 51966838 | 2260.60 |
| DCMS | Natural History Museum | 2023-06-22 | Exceptional Costs | SS CHP Boilerhouse | The Environment Agency | NC11730-P3-9 | 63684.72 |
| DCMS | Natural History Museum | 2023-06-22 | Estates Outsourced Services | Estates Security SK | Wilson James Limited | 90085787 | 20591.93 |
| DCMS | Natural History Museum | 2023-06-22 | Estates Outsourced Services | Estates Security SK | Wilson James Limited | 90085785 | 165207.61 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29558371 | 463.68 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29558371 | 115.92 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29558371 | 231.84 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 9335.09 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 16513.96 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 10878.01 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 66019.49 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 94775.08 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 23382.16 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 79026.41 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 20802.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 34170.12 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 21128.44 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 17017.49 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 19640.13 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 6820.37 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 45462.48 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 12617.19 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 12515.90 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 758.26 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 4073.22 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 63161.81 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 88215.15 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 121703.99 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 4808.65 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 744.25 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 48.38 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028277 | 576.87 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028277 | 1964.00 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028277 | 8180.60 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028277 | 1233.02 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Mace Ltd | 2101028277 | 159.85 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 3734.39 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 7240.16 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 68949.03 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 7716.65 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 1846.27 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 3141.32 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 30134.06 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 7993.09 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 78834.06 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 23895.05 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 69740.92 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 3291.21 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 30947.32 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 14802.11 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Engagement Group (MPG) | Walter Lilly & Co. Ltd. | 1484/013 | 17586.38 |
| DCMS | Natural History Museum | 2023-06-22 | Grant Sub Contr./ award payments | Science Research | University of Strathclyde | 8319401 | 149447.38 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 15636.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 9432.50 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 7488.40 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 3200.40 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 9410.70 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 3773.25 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 3255.00 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 2488.50 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 261.45 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 1965.50 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 1497.30 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 1295.40 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 1903.50 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | Estates Buildings Projects | Faithful+Gould Limited | 23021705 | 636.36 |
| DCMS | Natural History Museum | 2023-06-22 | Special Event Costs | Development Special Events | Event Concept Ltd | 40906 | 33850.34 |
| DCMS | Natural History Museum | 2023-06-22 | IT Costs | Technology Solutions - Operations | Open Text | 9003993372 | 48215.34 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Finance | Adecco UK Ltd | 29541516 | 550.05 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Donations & Maps | Adecco UK Ltd | 29544306 | 438.23 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Donations & Maps | Adecco UK Ltd | 29544307 | 1412.79 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Cloakroom | Adecco UK Ltd | 29544306 | 1563.73 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29544306 | 556.43 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29544306 | 438.02 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Public Programme - Exhibition Sales | Adecco UK Ltd | 29544306 | 2444.10 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Public Programme - Exhibition Sales | Adecco UK Ltd | 29544306 | 3345.99 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29544305 | 7707.29 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Learning: Community, Youth & Participation | Adecco UK Ltd | 29544305 | 553.58 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29544308 | 8729.99 |
| DCMS | Natural History Museum | 2023-06-22 | Prof. Fees excl Legal & Audit | Risk & Assurance | Government Internal Audit Agency | 45631 | 25067.16 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Cloakroom | Adecco UK Ltd | 29544307 | 1712.87 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Visitor Experience Operations | Adecco UK Ltd | 29544307 | 226.88 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Public Programme - Exhibition Sales | Adecco UK Ltd | 29544307 | 2570.41 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Public Programme - Exhibition Sales | Adecco UK Ltd | 29544307 | 3383.85 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202962 | 2026.40 |
| DCMS | Natural History Museum | 2023-06-22 | Agency Staff | Finance | Adecco UK Ltd | 29492832 | 694.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202276 | 600.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 16868.00 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 385.60 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 36.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 311.20 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 109.60 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 633.60 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 716.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 979.20 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 1468.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 716.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 716.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 716.80 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 158.40 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 302.40 |
| DCMS | Natural History Museum | 2023-06-22 | Assets under Construction | CRL Imaging & Analytical | Buehler Limited | INV202040 | 150.00 |
| DCMS | Natural History Museum | 2023-06-22 | Estates Outsourced Services | Estates Buildings Ops | Wilson James Limited | 90085813 | 518.40 |
| DCMS | Natural History Museum | 2023-06-22 | Exceptional Costs | Development | Wilson James Limited | 90085798 | 679.96 |
| DCMS | Natural History Museum | 2023-06-30 | Special Event Costs | Director’s Office | Kerb Food Limited | INV-2041 | 26250.00 |
| DCMS | Natural History Museum | 2023-06-30 | Grant Sub Contr./ award payments | Science Research | DE LA SALLE UNIVERSITY INC | 2000000325 | 108278.66 |
| DCMS | Natural History Museum | 2023-06-30 | Assets under Construction | CRL Imaging & Analytical | Teledyne CETAC Technologies | S020599703 | 6171.00 |
| DCMS | Natural History Museum | 2023-06-30 | Assets under Construction | CRL Imaging & Analytical | Teledyne CETAC Technologies | S020599703 | 196256.00 |
| DCMS | Natural History Museum | 2023-06-30 | Assets under Construction | CRL Imaging & Analytical | Teledyne CETAC Technologies | S020599703 | 6171.00 |
Εμείς διαθέτουμε δεδομένα μόνο για τον Ιούνιο του 2023, όχι για όλο το 2023. Έχουμε ένα δείγμα από τα έξοδα όλου του χρόνου και θα προσπαθήσουμε να κάνουμε μια εκτίμηση για τα ετήσια. Αυτό που θα κάνουμε είναι:
να διαλέξουμε στην τύχη μέρα του μήνα αυτού και να καταγράψουμε τα έξοδα του μουσείου τότε,
να διαλέξουμε ξανά στην τύχη μέρα του μήνα αυτού (μπορεί να είναι και η προηγούμενη που διαλέξαμε) και να καταγράψουμε τα έξοδα του μουσείου τότε,
να διαλέξουμε στην τύχη μέρα του μήνα αυτού (ίσως ίδια με κάποια από τις προηγούμενες) και να καταγράψουμε τα έξοδα του μουσείου τότε,
κ.ο.κ. για 30 φορές (όσες είναι και οι ημέρες του Ιούνη)
Με αυτόν τον τρόπο σχηματίζουμε ένα σύνολο εξόδων, του οποίου θα υπολογίσουμε το στατιστικό μέγεθος που επιθυμούμε. Ξανακάνουμε αυτή τη διαδικασία μπόλικες φορές κι έτσι έχουμε μπόλικες τιμές για το στατιστικό μέγεθος που ενδιαφερόμαστε. Θα τις παρουσιάσουμε με ένα ιστόγραμμα, ώστε να δούμε πώς κατανέμονται οι τιμές του στατιστικού μας μεγέθους.
Φτιάχνουμε, λοιπόν, μια λίστα με τα έξοδα αυτού του μήνα:
Η συνάρτηση που θα κάνει τη δουλειά που περιγράψαμε είναι η
bootstrap_meth(📋📋📋, 🐜🐜🐜, ⚔️⚔️⚔️), όπου:
στη θέση του
📋📋📋θα βάλουμε τη λίστα με τις τιμές των δεδομένων μας,στη θέση του
🐜🐜🐜θα βάλουμε τον αριθμό των δειγματοληψιών που θέλουμε να κάνουμε (πόσες δηλαδή θέλουμε να είναι αυτές οι μπόλικες φορές) καιστη θέση του
⚔️⚔️⚔️θα βάλουμε το όνομα του στατιστικού μεγέθους που μάς ενδιαφέρει.
Η συνάρτησή μας είναι η:
bootstrap_meth <- function(dedomena, epan, stat){
bootstrap_apotel <- c()
n <- length(dedomena)
for (i in 1:epan){
deigma <- sample(dedomena, size = n, replace=TRUE)
bootstrap_apotel[i] <- stat(deigma)
}
hist(bootstrap_apotel)
}Οπότε για να κάνουμε μιαν εκτίμηση της μέσης τιμής των εξόδων όλου του 2023 γράφουμε:
Εδώ βάλαμε να γίνουν 1000 δειγματοληψίες και βρήκαμε ότι πιθανότατα τα μέσα ετήσια έξοδα κυμαίνονται γύρω στις £15000-£25000.
Ακολούθως γράφουμε:
Βλέπουμε ότι το διάμεσο έξοδο του έτους είναι γύρω στις £2000-£3000.
Για λόγους πληρότητας της παρουσίασης θα δούμε και την τυπική απόκλιση. Γράφουμε λοιπόν:
όπερ εξάγει την παραπάνω κατανομή για τις πιθανές ετήσιες τυπικές αποκλίσεις.
Ασφαλώς, δεν είναι ανάγκη να περιοριστούμε στα στατιστικά μεγέθη που
είναι ήδη ενσωματωμένα στην . Για παράδειγμα μπορούμε να κάνουμε κάποια
πρόβλεψη για την ασυμετρία που επιδεικνύουν τα ετήσια έξοδα
χρησιμοποιώντας τη συνάρτηση asimetriaP() που ορίσαμε στην
υποενότητα Συντελεστής
ασυμμετρίας του Pearson:
Οπότε δεν έχουμε παρά να γράψουμε:
Οπότε έχουμε το παραπάνω ιστόγραμμα που δίνει μιαν εικόνα περί του πώς περίπου κατανέμεται η ασυμμετρία των ετήσιων εξόδων του μουσείου.
Ολόκληρος ο κώδικάς μας είναι ο:
rm(list = ls())
exoda <- foi_expenditure_over_25000_june_2023$Amount
bootstrap_meth <- function(dedomena, epan, stat){
bootstrap_apotel <- c()
n <- length(dedomena)
for (i in 1:epan){
deigma <- sample(dedomena, size = n, replace=TRUE)
bootstrap_apotel[i] <- stat(deigma)
}
hist(bootstrap_apotel)
}
bootstrap_meth(exoda, 1000, mean)
bootstrap_meth(exoda, 1000, median)
bootstrap_meth(exoda, 1000, sd)
asimetriaP <- function(v){
3*(mean(v)-median(v))/sd(v)
}
bootstrap_meth(exoda,1000, asimetriaP)