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  2. Probability About these notes. Many people have written excellent ...

    www.statslab.cam.ac.uk/~rrw1/prob/prob-weber.pdf
    16 Sep 2019: Screening test.Simpson’s paradox. 6.1 Conditional probability. Suppose B is an event with P(B) > 0. ... However, the test yields a false positive rate of1% of the healthy persons tested.
  3. John Michael Hammersley JOHN MICHAEL HAMMERSLEY21 March 1920 — ...

    www.statslab.cam.ac.uk/~grg/papers/jmh_biom.pdf
    31 Aug 2007: He returned to Oxford in 1959 as Senior Research Officer at theInstitute of Economics and Statistics. ... be producedto order and if so how; can they be recognised and can we test that they are not im-posters?
  4. Causal Inference: An Introduction Qingyuan Zhao Statistical…

    www.statslab.cam.ac.uk/~qz280/talk/ssrmp-2020/slides.pdf
    3 Jun 2024: Examples in social sciences. 1 Economics: How does supply and demand (causally) depend on price? ... Statistical inference: Approach 1. Randomisation inference (permutation test). Test the hypothesis H0 : A Y | X (or H0 : A Y if randomisation does
  5. 22 May 2013: 22. 6.3 Optimal stopping over the infinite horizon. 22. 6.4 Sequential Probability Ratio Test. ... 6615.4 Problems in which time appears explicitly. 6615.5 Example: monopolist. 6715.6 Example: neoclassical economic growth.
  6. Sensitivity analysis for observational studies: Past, Present, and…

    www.statslab.cam.ac.uk/~qz280/talk/uea-2024/slides.pdf
    3 Jun 2024: Solid curves: contours of likelihood ratio test. Dashed curves:. estimated ATE reduced by half. ... Blattman, Christopher and Jeannie Annan (2010). “The Consequences of ChildSoldiering”. In: The Review of Economics and Statistics 92.4, pp.
  7. 29 Nov 2018: Shape-constrained proce-dures are also commonly used in economics (Matzkin,1991, Varian, 1984) and survival analysis, for instancein the interval-censoring problem and hazard func-tion estimation; see the recent ... In the first part of the paper, applica
  8. Regression tree algorithms with applications to missing…

    www.statslab.cam.ac.uk/files/whittlelectures/Trees.pdf
    12 May 2022: The lectures will present a mix of theory, methodology, andapplications, including examples from economics, medicine, public health, and automo-tive engineering. ... Example with data from experiments on vehicle crash tests. Lecture 6 (May 25) Models for
  9. Causal Inference

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/slides.pdf
    3 Jun 2024: Randomization inference: General tests. Randomization provides the “reasoned basis” for Fisher’s exact test. ... Randomization inference: F-test. Setting: Neyman-Rubin model, A = {0,1,. ,k 1}.
  10. Will competition-winning methods for causal inference also succeed in …

    www.statslab.cam.ac.uk/~qz280/publication/acic-competition-comment/paper.pdf
    3 Jun 2024: REFERENCES. Angrist, J. D. and Krueger, A. B. (1999). Empirical strategies in labor economics. ... TheAmerican Economic Review Papers and Proceedings 93 126-132. Keele, L. and Small, D.
  11. Sensitivity analysis for observational studies: Looking back and…

    www.statslab.cam.ac.uk/~qz280/talk/yale-biostats-2020-2/slides.pdf
    3 Jun 2024: The Reviewof Economics and Statistics, 92(4):882–898, 2010. doi:10.1162/REST a 00036. C. ... Biometrics, 69:803–811, 2013. G. W. Imbens. Sensitivity to exogeneity assumptions in program evaluation.American Economic Review, 93:126–132, 2003.
  12. 15 Mar 2016: Also, λ. (b) 0. In light of Theorem 2.5, Lagrange multipliers are also known as shadow prices, dueto an economic interpretation of the problem to. ... to φ(b)/bi. In this context, complementaryslackness corresponds to the basic economic principle that
  13. 0. Statistics 1B Statistics 1B 1 (1–1) 0. Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-16-all-lectures-4.pdf
    11 Jan 2016: Examples are spam filters, text and speech recognition, machine learning,bioinformatics, health economics and (some) clinical trials.
  14. • Ingenia 29

    www.statslab.cam.ac.uk/~frank/PAPERS/ingenia.pdf
    29 Dec 2006: What are the challenges and, in particular, whattechnology, economic and networkmodelling issues need to be overcome tomake it happen? ... of existing policy instrumentshave become apparent, and the economic damage ofcongestion is rapidly increasing.
  15. Confounder adjustment in large-scale linear structural models

    www.statslab.cam.ac.uk/~qz280/publication/cate-mutual-fund/slides.pdf
    3 Jun 2024: I In R, run summary(lm(YX)).I Equivalent to a two-sample t-test with equal variance. ... Journal of Financial Economics, 33(1).7. Carhart, M. M. (1997). “On persistence in mutual fund performance.” Journal of Finance, 52(1).
  16. CAUSAL INTERPRETATIONS OF BLACK-BOX MODELS QINGYUAN ZHAO AND TREVOR…

    www.statslab.cam.ac.uk/~qz280/publication/pdp/paper.pdf
    3 Jun 2024: ICE is first introduced to discover. interaction between the predictor variables and visually test if the function g is additive. ... Journal of Economic Perspectives, 31(2):87–106, 2017. Judea Pearl. Comment: Graphical models, causality and
  17. oheads.dvi

    www.statslab.cam.ac.uk/~rrw1/stats/oheads.pdf
    18 Jan 2007: Economics 240 63 26 512 112 22. Engineering 164 52 32 972 252 26. ... check that lifespan is normally distributed about a mean. The. longevities for control and test groups were.
  18. Two-Sample Instrumental Variable Analysis: Challenges and Some…

    www.statslab.cam.ac.uk/~qz280/publication/two-sample-iv/slides.pdf
    3 Jun 2024: Future work: Goodness-of-fit test of the statistical model. Good statistical fit more confidence in the results? ... TheReview of Economics and Statistics, 92(3):557–561, 2010. M. Katan. Apoupoprotein e isoforms, serum cholesterol, and cancer.
  19. 24 Mar 2010: Theclass of log-concave densities has many attractive properties and has been well-studied, particularlyin the economics, sampling and reliability theory literature. ... See Bagnoli and Bergstrom(2005) for many other applications of log-concavity to
  20. STATISTICAL MODELLING Part IICPractical 8: Contingency tables and…

    www.statslab.cam.ac.uk/~rds37/teaching/statistical_modelling/Practical8.pdf
    11 Mar 2015: mod2 <- glm(Freq subject_msubject_f match, data=SD_subj, family=poisson). > anova(mod1, mod2, test="LR"). ... Therefore we can calculate the approximate p-value for the test above with. >
  21. A More General Pandora’s Rule Richard Weber, University of ...

    www.statslab.cam.ac.uk/~rrw1/talks/LSEseminar13113.pdf
    14 Nov 2013: 5/57 ,. Varian’s problem: ‘economics and search’. Hal Varian (1999) put Weitzman’s problem like this:. ... If time for two books, show Lonely Planet. 6/57 ,. Varian’s problem: ‘economics and search’.
  22. ks_nov99.dvi

    www.statslab.cam.ac.uk/~frank/AUCTION/auction.pdf
    4 Nov 1999: resources: an experimental approach. Rand Journal of Economics 20 1–25. Bernheim, B.D., M. ... Bell Journal of Economics 13 402–417. Rothkopf, M.H., A. Pekeč, R.M.
  23. s.dvi

    www.statslab.cam.ac.uk/~rrw1/stats/Sa5.pdf
    4 Dec 2008: 29. 7.2 The power of a test. 29. 7.3 Uniformly most powerful tests. ... 33. 8.2 Generalised likelihood ratio tests. 33. 8.3 Single sample: testing a given mean, known variance (z-test).
  24. Lecture Notes on Causal Inference(with corrections) Qingyuan Zhao May …

    www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/notes-2021.pdf
    3 Jun 2024: The first approachtries to test the conditional independence A[n] Y[n](0) | X. ... A level-α randomisation test then rejects H0 if Pm α. 2.19 Theorem.
  25. t.dvi

    www.statslab.cam.ac.uk/~rrw1/timeseries/t.pdf
    21 Sep 2005: 3. 1.6 White noise. 4. 1.7 The turning point test. 4. ... 27. 7.5 Tests for white noise. 277.6 Forecasting with ARMA models.
  26. Results that match 1 of 2 words

  27. Economic Benefits

    www.statslab.cam.ac.uk/~frank/PAPERS/deloitte.html
    15 May 2023: Measuring the Economic Benefits of Mathematical Sciences Research in the UK. ... Measuring the Economic Benefits of Mathematical Sciences Research in the UK,.
  28. Multiple conditional randomization tests | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/talk/ims-2022/
    3 Jun 2024: Search. Multiple conditional randomization tests. Date. 2022-06-27 5:10 PM — 5:30 PM.
  29. What is a randomization test? | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/talk/toronto-2022/
    3 Jun 2024: Search. What is a randomization test? Date. 2022-03-23 2:00 PM — 3:00 PM.
  30. Multiple conditional randomization tests | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/talk/berkeley-2021/
    3 Jun 2024: Search. Multiple conditional randomization tests. Date. 2021-09-29 9:30 PM — 10:30 PM.
  31. Falsification tests for instrumental variable designs with an…

    https://www.statslab.cam.ac.uk/~qz280/publication/iv-falsification/
    3 Jun 2024: Search. Falsification tests for instrumental variable designs with an application to tendency to operate. ... We demonstrate this test using an IV known as tendency to operate (TTO) from health services research.
  32. Cross-screening in observational studies that test many hypotheses |…

    https://www.statslab.cam.ac.uk/~qz280/publication/cross-screening/
    3 Jun 2024: Search. Cross-screening in observational studies that test many hypotheses.
  33. What is a randomization test? | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/publication/single-crt/
    3 Jun 2024: A new term—‘quasi-randomization test’—is introduced to define significance tests based on theoretical models and distinguish these tests from the ‘randomization tests’ based on the physical act of randomization. ... The proposed terminology
  34. www.statslab.cam.ac.uk/~qz280/talk/index.xml

    www.statslab.cam.ac.uk/~qz280/talk/index.xml
    3 Jun 2024: talk/ccaim-summer-school-2022/ Multiple conditional randomization tests https://www.statslab.cam.ac.uk/qz280/talk/mcp-2022/ Wed, 31 Aug 2022 13:45:00 0000 ... ac.uk/qz280/talk/mcp-2022/ Multiple conditional randomization tests
  35. Dr Qingyuan Zhao | Statistical Laboratory

    www.statslab.cam.ac.uk/person/qz280
    2 Jul 2024: FR Guo, Q Zhao. (2023). (link to publication). What is a Randomization Test?
  36. Testimonials from Our Clients | The Statistics Clinic

    www.statslab.cam.ac.uk/clinic/testimonials.html
    2 Jul 2024: Heather, Department of Economics). Thank you, what a great free service for us "lost" biologists to be able to more accurately understand our data and hopefully avoid wrong interpretations.
  37. Publications | Statistical Laboratory

    www.statslab.cam.ac.uk/publications?page=46
    2 Jul 2024: 2383. (doi: 10.1214/11-aos903). Probabilistic sensitivity analysis in health economics. G Baio, AP Dawid. – ... 2011). 106,. 914. (doi: 10.1198/jasa.2011.tm11321). Economic Issues in Shared Infrastructures. C Courcoubetis, R Weber. –
  38. Talks

    www.statslab.cam.ac.uk/~frank/TALKS/
    18 Sep 2023: MITACS meeting on Network and Internet Economics, Vancouver, May 2011. EURANDOM, Netherlands, April 2011. ... The Human Dimension of Risk, Cambridge, December 2010. Economic perspectives on congestion (abstracts).
  39. Multiple conditional randomization tests | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/talk/mcp-2022/
    3 Jun 2024: Search. Multiple conditional randomization tests. Date. 2022-08-31 1:45 PM — 2:15 PM.
  40. Research

    www.statslab.cam.ac.uk/~rrw1/research.html
    20 Feb 2012: Research interests. Research interests. Communications networks:. Incentives for Large Peer-to-Peer Systems, C. Courcoubetis and R. R. Weber, IEEE Journal on Selected Areas in Communications (2006) 24, 1034-1049.> [J. Mundinger, R. R. Weber and G.
  41. The origin of randomization | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/post/randomization-origin/
    3 Jun 2024: to provide a basis for exact tests of significance and related interval estimates. {{% ... be applied to test the significance of the observed difference between the averages of plots treated differently.
  42. Rachel Kelz | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/author/rachel-kelz/
    3 Jun 2024: Falsification tests for instrumental variable designs with an application to tendency to operate.
  43. What is a randomization test?

    www.statslab.cam.ac.uk/~qz280/talk/toronto-2022/slides.pdf
    3 Jun 2024: Quasi-randomization tests: Permute time step, hospital ward, and/or crossover order. Qingyuan Zhao (University of Cambridge) What is a randomization test? ... Permutation tests for treatment effect in randomized experiments. This generalizes Fisher’s
  44. Road Pricing

    www.statslab.cam.ac.uk/~frank/PAPERS/ingenia.html
    5 Apr 2022: So what is the problem with implementing road pricing? What are the challenges and, in particular, what technology, economic and network modelling issues need to be overcome to make it happen?
  45. A fun model to explain the surging popularity of Mendelian…

    https://www.statslab.cam.ac.uk/~qz280/post/mr-vs-gwas-2021/
    3 Jun 2024: Let’s see how well this model stands the test of time.
  46. Causal-Inference | Qingyuan Zhao

    https://www.statslab.cam.ac.uk/~qz280/tag/causal-inference/
    3 Jun 2024: We apply ideas from post-selection inference to randomization tests for adaptive experiments.
  47. Clifford Paterson Lecture - further reading.

    www.statslab.cam.ac.uk/~frank/CP/CPREAD/
    26 Apr 2009: The current draft of a paper on pricing and effective bandwidths that I presented at the recent Internet Economics Workshop. ... If you are interested in either of these areas, do let me know (atand Nicholas Economides' Economics of Networks' are sources
  48. Statistics IB

    www.statslab.cam.ac.uk/~sb2116/Statistics_IB/
    Correction 1: A note on the existence of likelihood ratio tests of any size.
  49. Multiple conditional randomization tests

    www.statslab.cam.ac.uk/~qz280/talk/berkeley-2021/slides.pdf
    3 Jun 2024: Slides: http://statslab.cam.ac.uk/qz280/. The role of randomization tests became obscure. Fisher (1935): To substitute t-test when normality is not true and to restore randomization as “thephysical ... Conditional randomization tests for discrete
  50. Discussion of Adaptive confidence intervals for the test error ...

    www.statslab.cam.ac.uk/~rjs57/TestErrorCI.pdf
    11 Mar 2011: for the test error have poor coverage properties, and propose an innovative and effective. ... computational complexity. Such tests are available for the linear classifiers studied in the.
  51. John Aston's Home Page - FODAA

    www.statslab.cam.ac.uk/~jada2/FODAA.html
    10 Jun 2021: JAD Aston, D Pigoli and S Tavakoli. Tests for separability in nonparametric covariance operators of random surfaces, Annals of Statistics, in press.
  52. Tariffs, policing and admission control

    www.statslab.cam.ac.uk/~frank/PAPERS/tariff.html
    19 Feb 2022: An earlier version of this paper was presented at the MIT Workshop on Internet Economics in March 1995.

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