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Sensitivity analysis via stochastic programming
www.statslab.cam.ac.uk/~qz280/talk/icsds-2023/slides.pdf3 Jun 2024: Blattman, Christopher and Jeannie Annan (2010). “The Consequences of ChildSoldiering”. In: The Review of Economics and Statistics 92.4, pp. ... In:American Economic Review 93, pp. 126–132. Saltelli, Andrea et al. (2004). -
Clifford Paterson Slides
www.statslab.cam.ac.uk/~frank/CP/CPREAD/SLIDES/HTML/cpslides.html22 Sep 1995: coordination of players (traditionally an economic issue, involving externalities and incentive compatability). -
Simultaneous Hypothesis Testing using Internal Negative Controls…
www.statslab.cam.ac.uk/~qz280/publication/ranc/slides.pdf3 Jun 2024: Den. sity. Protein under investigation negative control. (a) P-values from a two-sample “t-test”. ... Enabled by validity PRDS. Global/intersection null: Simes’ test;. FWER: Hochberg-Hommel procedure (closure of Simes’ test);. -
Publications | Statistical Laboratory
www.statslab.cam.ac.uk/publications?clv=0&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&refine=-prop_3%2C-prop_2&sort=etime&page=416 Jul 2024: doi: 10.1214/11-aop729). Modelling trigonometric seasonal components for monthly economic time series. ... I Hindrayanto, JAD Aston, SJ Koopman, M Ooms. – Applied Economics. -
Publications | Statistical Laboratory
www.statslab.cam.ac.uk/publications?clv=0&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&refine=-prop_3%2C-prop_2&sort=etime&page=496 Jul 2024: 2011). 8,. 403. (doi: 10.1214/11-PS185). Etanercept, infliximab and adalimumab for the treatment of psoriatic arthritis: A systematic review and economic evaluation. ... RH Wang, JAD Aston, CD Fuh. – Computational Economics. (2010). 36,. -
STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 5: ANOVA and …
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P5.pdf3 Jun 2024: interaction.plot(Photo, Quality, fitted.values(EssayMarksLM2)). > interaction.plot(Quality, Photo, fitted.values(EssayMarksLM2)). To test for the presence of interactions, we again use an F-test:. > ... Would it be possible to com-pare the models -
Publications | Statistical Laboratory
www.statslab.cam.ac.uk/publications?clv=0&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&refine=-prop_3%2C-prop_2&sort=etime&page=486 Jul 2024: The Annals of Statistics. (2011). 39,. 702. (doi: 10.1214/10-AOS853). Etanercept, infliximab and adalimumab for the treatment of psoriatic arthritis: a systematic review and economic evaluation. ... 21,. 240. (doi: 10.1214/10-aap693). Etanercept, -
Almost Exact Mendelian Randomization Qingyuan Zhao Statistical…
www.statslab.cam.ac.uk/~qz280/talk/eurocim-2023/slides.pdf3 Jun 2024: 1993). “Transmission Test for Linkage Disequilibrium: The Insulin Gene Regionand Insulin-Dependent Diabetes Mellitus (IDDM).”. ... Fisher’s combination test 0.03 0.05 0.16. Two-stage least squares < 1020 4.5 1011. -
STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 4: More on…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P4.pdf3 Jun 2024: If the goal is to test the significanceof some coefficients, post model-selection inference is needed to control statistical errors. ... Note that we supplied the models in order of nestedness, and so the anova functionperforms F-tests between adjacent -
Practical: Matching/Weighting and Sensitivity Analysis
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P4.pdf3 Jun 2024: standard error with CR2 small-sample correctioncoeftest.twfe <- coef_test(fit.twfe, vcov = "CR2", cluster = mpdta$countyreal)coeftest.twfe[2,]. ... CR2 small-sample correctioncoeftest.twfe.dynamic <- coef_test(fit.twfe.dynamic, vcov = "CR2", cluster = -
47 A1/12 B1/15 Principles of Statistics (i) Explain in ...
www.statslab.cam.ac.uk/~lab85/resources/PoS2002.pdf28 Apr 2023: Show that we may construct a different, randomised, size α test with the samepower function for θ > θ0. ... f(x; θ) = h(x)g(θ) exp{θt(x)} , x R. Explain in detail how you would test. -
26 1/I/3H Statistics State the factorization criterion for sufficient …
www.statslab.cam.ac.uk/~lab85/resources/Stats2002.pdf28 Apr 2023: What is the result of applying this test at the 0.01 level? [ ... tostrength tests, the number out of the six blocks failing the test being recorded in thefollowing table:. -
STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 2 ...
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E2.pdf3 Jun 2024: Hint: Use (2). How canwe construct a hypothesis test based on η̃i to test whether the i. ... Then apply your hypothesis test to check whetherthe observation corresponding to humans is an outlier. -
STATISTICS Part IBExample Sheet 2 (of 3) Lent 2022 ...
www.statslab.cam.ac.uk/~lab85/resources/StatsL23b.pdf27 Apr 2023: By first deriving the MLEs under each hypothesis, show that the likelihood ratio andPearson’s chi-squared tests are identical to those for the independence test. ... Is the test uniformly most powerfulfor testing H0 : θ = θ0 against H1 : θ > θ0? -
PRINCIPLES OF STATISTICS – EXAMPLES 2/4 Part II, Michaelmas ...
www.statslab.cam.ac.uk/~lab85/resources/PoSM23b.pdf31 Oct 2023: From this limiting result: (i) derive a test for the hypothesis H0 : θ = θ0 vs. ... For all these models, derive explicit expressions for the likelihood ratio test statistic ofa simple hypothesis test of H0 : θ = θ0, θ0 Θ, vs. -
59 1/II/27I Principles of Statistics An angler starts fishing ...
www.statslab.cam.ac.uk/~lab85/resources/PoS2008.pdf28 Apr 2023: What arethe size and power of the test in terms of α and β? ... Is φkadmissible as a test of H0 against Hθ for every θ (0, 1)? -
SISCER Module 12 Lecture 2: Matching for Cohort Studies
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L2.pdf3 Jun 2024: Inference methods. I Randomization tests (Lecture 1): e.g., Fisher exact test,Cochran–Mantel–Haenszel test, Wilcoxon’s rank sum test, Wilcoxon’s signed ranktest, and permutation tests. ... S. (2010). Using the cross-match test to appraise -
STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 1 ...
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E1.pdf3 Jun 2024: 12. Prove that in the linear model Y = Xβ ε with ε | X Nn(0,σ2I), the F-test and t-test fortesting H0 : βp = 0 versus H1 : βp 6= 0 ... β̂2p{(XTX)1}ppσ̂2. =‖(H H0)Y‖21. np‖(I H)Y‖2. Verify the equivalence of the F- and t-tests in an -
44 Paper 1, Section I 7H StatisticsSuppose that X1, ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2019.pdf27 Apr 2023: test to test the hypothesis H1 : σ2 > σ̃2 against the hypothesis H0 : σ. ... 2 = σ̃2. Does the F-test depend on whether µ, µ̃ are known? -
53 1/II/27I Principles of Statistics State Wilks’ Theorem on ...
www.statslab.cam.ac.uk/~lab85/resources/PoS2005.pdf28 Apr 2023: Explain why for large n thelikelihood-ratio test and the t-test are nearly the same. ... Howcould you use this to make a test of H0 against H1 : µ Θ1? -
STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 2: More on…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2S.pdf3 Jun 2024: itis safe to use this test from the point of view of false rejections. ... In fact, the numerical output of qqplot_Fsuggests that the Type-I error for a test with level 5% is about 4.1%. -
28 1/I/7C Statistics Let X1, . . . ,Xn ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2007.pdf28 Apr 2023: Explain carefully how the test should be implemented. 1/II/18C Statistics. Let X1,. ... yθ1eydy and θ > 1 is unknown. Find the most powerful test of size α,. -
STATISTICAL MODELLING Part IIC, Michaelmas 2019 Practical 8:…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P8S.pdf3 Jun 2024: S. A. Bacallado. and Dr. R. Shah. Studying the effect of sociabilitySuppose we want to test the effect of sociability, as measured by the variables go_out_f and ... 1] 0.5351263anova(GammaMod0,GammaMod1,test="F"). ## Analysis of Deviance Table#### Model 1 -
Publications | Statistical Laboratory
www.statslab.cam.ac.uk/publications?clv=0&kw=%E9%80%8F%E6%B0%A3%E9%9E%8B&p=%E9%80%8F%E6%B0%A3%E9%9E%8B&refine=-prop_3%2C-prop_2&sort=etime&page=266 Jul 2024: RA Lockhart, RJ Samworth. – Test. (2017). 26,. 734. (doi: 10.1007/s11749-017-0555-1). ... M Löffler, R Nickl. – Test. (2017). 26,. 731. (doi: 10.1007/s11749-017-0558-y). -
32 1/I/7D Statistics The fast-food chain McGonagles have three ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2005.pdf28 Apr 2023: It is desiredto test the hypothesis. H0 : f = f0 against H1 : f = f1,. ... You should state, but need not derive, the distribution of the test statistic.]. -
STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 2: More on…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P2.pdf3 Jun 2024: the points on the Q–Q plot lie above the diagonal it suggests that the usual t-test withnominal level α will have a size greater than α (why?). ... On the other hand, if the points lie below thediagonal, the t-test will be conservative and have size -
Towards Reliable Inference for Precision Medicine
www.statslab.cam.ac.uk/~qz280/talk/jsm-2021/slides.pdf3 Jun 2024: I Strengths: Free of selection bias; scientifically rigorous.I Limitations: Cannot test too many; no flexibility. ... Selecting positive ITRs. I Simply needs to test the hypotheses H0i : r0 6Γ ri, i = 1,. -
42 Paper 1, Section I 7H StatisticsDescribe the generalised ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2012.pdf28 Apr 2023: It is desired to test the hypothesis H0 : λ = µ against H1 : λ 6= µ. ... Let w(θ) denote the power function of this test at θ (> 1). -
93 1 TELE1RAFFIC AND DATA1RAFFIC in a Period of ...
www.statslab.cam.ac.uk/~frank/PAPERS/cin.pdf8 May 2009: In Arrow K J and Intriligator M D, editors, Handbook of Mathematical Economics, Vol 1, pages 285330, North Holland, 1981. -
Peter Whittle, 1927-2021 (Peter Whittle in 1985, by Peter ...
www.statslab.cam.ac.uk/~frank/PW/whittle_rss.pdf6 Sep 2021: later awarded the Nobel Prize in Economics for empirical research on cause and effect in the. ... economic phenomena. His book Probability via Expectation (1970, expanded in 2000) is an exposition of probability. -
48 Paper 1, Section I7H Statistics What does it ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2009.pdf28 Apr 2023: What is the critical region C of a test of the null hypothesis H0 : θ Θ0 against. ... the alternative H1 : θ Θ1? What is the size of a test with critical region C? -
Draft Memorial Tribute for the National Academy of Engineering ...
www.statslab.cam.ac.uk/~frank/PW/whittle_nae.pdf18 Aug 2021: later awarded the Nobel Prize in Economics for empirical research on cause and effect in the. ... economic phenomena. His book Probability via Expectation (1970, expanded in 2000) is an exposition of probability. -
41 Paper 1, Section I 7H StatisticsLet x1, . ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2013.pdf28 Apr 2023: It. is desired to test H0 : f(x) = 1 against H1 : f(x) = 2x. ... Let δ : [0, 1] {0, 1} define a test by δ(x1) = i ‘accept Hi’. -
CAUSAL INFERENCE - Example Sheet 1 Solutions J. Hera ...
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/S1.pdf3 Jun 2024: that the sharp null hypothesis is true. For a level-alpha test against the alternative that. ... 1. (2.11). This can then be used to construct asymptotic tests and confidence intervals ofn. -
39 Paper 1, Section I6H Statistics State the Rao-Blackwell ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2022.pdf27 Apr 2023: d) Describe a test of size α for the null hypothesis H0 : σ21 = σ. ... Suppose thereexists a likelihood ratio test of size α for H0 against H1. -
25 1/I/3D Statistics Let X1, . . . ,Xn ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2001.pdf28 Apr 2023: Define the terms size and power for a test of onesimple hypothesis against another. ... Part IB. 26. 2/II/12D Statistics. What is meant by a generalized likelihood ratio test? -
Goodness of fit tests for high-dimensional linear models Rajen ...
www.statslab.cam.ac.uk/~rds37/papers/RPtests8 Apr 2017: In Section 3 we explain how several RP tests can beaggregated into a single test that combines the powers of each of the tests. ... We also compare the power of RP tests to the global test procedure of Goeman et al. -
46 A1/12 B1/15 Principles of Statistics (i) A public ...
www.statslab.cam.ac.uk/~lab85/resources/PoS2003.pdf28 Apr 2023: How might the parametric bootstrapbe used to obtain a test of H0 of exact size α? ... Your account should include a discussion of natural statistics andtheir properties and of various conditional tests on natural parameters. -
29 1/I/7C Statistics A random sample X1, . . ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2006.pdf28 Apr 2023: It is desired to test the hypothesis H0 : θ 0 against thealternative H1 : θ > 0. ... Show that there is a uniformly most powerful test of size α = 1/20and identify a critical region for such a test in the case n = 9. -
Fisher, Statistics, and Randomization
www.statslab.cam.ac.uk/~qz280/talk/fisher-2022/slides.pdf3 Jun 2024: Outline. 1 Fisher and randomizationRole 1: Avoid hidden biasRole 2: Justification of experimental inferenceRole 3: Randomization tests. ... 3 Provide a basis for exact tests of significance and related interval estimates. -
IB Statistics Michael TehranchiExample sheet 2 of 3 Lent ...
www.statslab.cam.ac.uk/~mike/stats/Example2.pdf27 Feb 2019: 8. Let X1,. ,Xniid Exp(θ). Find the likelihood ratio test of size α of H0 : θ = θ0 against. ... the size α likelihood ratio test.11. Statisticians A and B obtain independent samples X1,. -
45 Paper 1, Section I 7H StatisticsLet X1, . ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2016.pdf28 Apr 2023: Find the criticalregion of the most powerful test of size α for the hypotheses H0 : λ = 1 versus H1 : λ = 2.Determine whether or not this test is uniformly most powerful ... Prove that the power function of this test is of theform w(α,β,σ2) = -
The Randomization Principle in Causal Inference: A Modern Look ...
www.statslab.cam.ac.uk/~qz280/talk/imperial-2022/slides.pdf3 Jun 2024: Pitman (1937).“Significance Tests Which May Be Applied To Samples From Any Populations”. ... What is randomization test? Below: a precise description of conditional randomization tests that is a folklore among a small group ofcausal inference -
57 1/II/27I Principles of Statistics Suppose that X has ...
www.statslab.cam.ac.uk/~lab85/resources/PoS2007.pdf28 Apr 2023: If it is, how (according to the conditionalityprinciple) do we test hypotheses on ψ? ... Explain when this test may be used. (ii) Independent identically-distributed observations X1,. -
STATISTICAL MODELLING Part IIC / Michaelmas 2022Example Sheet 3 ...
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/E3.pdf3 Jun 2024: Pick a college (possibly your own) and test whether it is an outlier. ... What is the issue withusing your test to now determine whether this college is an outlier? -
SISCER Module 15 Practice 2: Matching/Weighting and Sensitivity…
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S2.pdf3 Jun 2024: mean (SD)) "0.35 (0.48)" "0.27 (0.45)"## dietary.adequacy.missingind (mean (SD)) "0.32 (0.47)" "0.23 (0.42)"## Stratified by physically.inactive## p test## n "" ""## sex (%) ... Wilcoxon signed rank test, a randomization test.# This is only appliable to -
31 1/I/3H Statistics Derive the least squares estimators α̂ ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2003.pdf28 Apr 2023: Derive carefully the test of homogeneity and test the hypothesis that the distributions ofscores among students in the two cities are the same. ... Conduct a goodness-of-fit test at the 0.05 level for the null hypothesis that the coins areall fair. -
41 Paper 1, Section I 7H StatisticsSuppose that X1, ...
www.statslab.cam.ac.uk/~lab85/resources/Stats2015.pdf28 Apr 2023: For 0 < α < 1, derive the test that is most powerful among all tests of size atmost α. ... x6. Explain how to obtain anapproximate size 0.05 test using the value of T. -
Practical: Mendelian randomization
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P3.pdf3 Jun 2024: 7. Perform the default Mendelian randomisation tests using the function mr. -
STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 5: ANOVA and …
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P5S.pdf3 Jun 2024: fit. Would it be possible to compare EssayMarksLM2 and EssayMarksLM5 through an F-test? ... We can check that theanova function does not perform a test:anova(EssayMarksLM2,EssayMarksLM4).
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