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  2. 10 Statistics 10.16 The Tennis Modelling Challenge (8 units) ...

    https://www.maths.cam.ac.uk/undergrad/catam/II/10pt16.pdf
    31 Jul 2023: Fit the model using the data from 2000–2014 and compare to the model fitin Question 2 using the logistic loss incurred on training and test data. ... Question 5 Perform a formal hypothesis test which might allow you to reject themodel in Question 2 in
  3. 17 Combinatorics 17.3 Hamiltonian cycles (5 units) This project ...

    https://www.maths.cam.ac.uk/undergrad/catam/II/17pt3.pdf
    31 Jul 2023: Test your program on a few particular graphs; and then use iton a selection of graphs from G(n, p) with n up to 21 and p firstly varying from
  4. 14 General Relativity 14.5 Cosmological distances (8 units) Although…

    https://www.maths.cam.ac.uk/undergrad/catam/II/14pt5.pdf
    31 Jul 2023: 12). A method to test whether a sample of objects has a uniform comoving density and luminositywhich does not change with cosmic time is to use the < V/Vmax > test.
  5. 17 Combinatorics 17.1 Graph Colouring (7 units) This project ...

    https://www.maths.cam.ac.uk/undergrad/catam/II/17pt1.pdf
    31 Jul 2023: Test your program on ten members of G(70, 0.5), andcompare the number of colours used when the vertices are ordered in the following ways:(i) by increasing degree, (ii)
  6. Introduction 1 General Please read the whole of this ...

    https://www.maths.cam.ac.uk/undergrad/catam/IB/IBintro.pdf
    29 Aug 2023: For example, use of a command to test whether an integer is prime would notbe allowed in a project which required you to write a program to find prime numbers. ... you must write and test all programs yourself, and all reports must be writtenindependently
  7. MAMA/205, NST3AS/205, MAAS/205 MAT3 MATHEMATICAL TRIPOS Part III…

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2023/Paper_205.pdf
    20 Jul 2023: Describe the closed testing procedure, introducing any other tests that are neededin order for it to work. ... observations(xi,yi,zi) RRRp for i = 1,. ,n. We wish to test the null hypothesis H0: x1 y1 |z1using the test statistic.
  8. Mathematical Tripos Part IB Computational Projects 2023/2024 CATAM…

    https://www.maths.cam.ac.uk/undergrad/catam/IB/IBmanual.pdf
    28 Nov 2023: For example, use of a command to test whether an integer is prime would notbe allowed in a project which required you to write a program to find prime numbers. ... you must write and test all programs yourself, and all reports must be writtenindependently
  9. MAT0 MATHEMATICAL TRIPOS Part IA Thursday, 1 June, 2023 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2023/paperia_1_2023.pdf
    7 Jul 2023: Justify your answers. Part IA, Paper 1. 3. 4E AnalysisState the comparison test. ... Show that limn Pn/Nn = 1. State the alternating series test.
  10. MATHEMATICAL TRIPOS Part IB 2022 List of Courses Analysis ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2023/list_ib.pdf
    7 Jul 2023: MATHEMATICAL TRIPOS Part IB 2022. List of Courses. Analysis and Topology. Complex Analysis. Complex Analysis or Complex Methods. Complex Methods. Electromagnetism. Fluid Dynamics. Geometry. Groups, Rings and Modules. Linear Algebra. Markov Chains.
  11. Causal Inference (M16) Dr. Q. Zhao From its onset, ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/GtC/Statistics/casual_inference_zhao.pdf
    21 Feb 2024: 1. Motivations:. • Principles of causal inference: motivations; historical perspectives; basic concepts.• Randomized experiments: randomization tests, regression adjustment and its asymp-totic inference. •

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