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Permutation $p$-value approximation via generalized Stolarsky…
https://www.statslab.cam.ac.uk/~qz280/publication/stolarsky/3 Jun 2024: March 2016Abstract. This paper uses a generalized Stolarsky’s invariance principle to approximate the permutation $p$-value for two-sample linear test statistics. -
Discussion on (quasi-)randomization inference | Qingyuan Zhao
https://www.statslab.cam.ac.uk/~qz280/post/randomization-hyunseung/3 Jun 2024: I personally think the Freedman and Lane’s example with “randomizing” gender makes the distinction between the classic randomization test and your quasi-randomization tests more clear than the example you ... Personally, I would define -
On testing mean proportionality of multivariate normal variables |…
https://www.statslab.cam.ac.uk/~qz280/publication/proportionality-testing/3 Jun 2024: We show that the usual likelihood ratio χ2-test is valid non-asymptotically. ... Our proof relies on expressing the test statistic as the minimum eigenvalue of a Wishart variable and using a representation of its distribution using Legendre polynomials. -
The randomization principle in causal inference: A modern look at…
https://www.statslab.cam.ac.uk/~qz280/talk/imperial-2022/3 Jun 2024: In the first part, I will use the potential outcomes framework to define the conditional randomization test, distinguish it with related ideas, and discuss some recent applications. -
Sensitivity analysis for inverse probability weighting estimators via …
https://www.statslab.cam.ac.uk/~qz280/publication/sensitivity-ipw/3 Jun 2024: It is mostly applicable to matched observational studies; 2. It only tests the sharp null hypothesis; 3. -
Selective Randomization Inference for Adaptive Experiments | Qingyuan …
https://www.statslab.cam.ac.uk/~qz280/publication/selective-randomization/3 Jun 2024: In a nutshell, our approach applies conditional post-selection inference to randomization tests. ... Lastly, we demonstrate our method and compare it with other randomization tests using synthetic and real-world data. -
Paul Rosenbaum | Qingyuan Zhao
https://www.statslab.cam.ac.uk/~qz280/author/paul-rosenbaum/3 Jun 2024: Cross-screening in observational studies that test many hypotheses. -
Sensitivity Analysis | Qingyuan Zhao
https://www.statslab.cam.ac.uk/~qz280/tag/sensitivity-analysis/3 Jun 2024: It only tests the sharp null hypothesis; 3. It assumes treatment effect homogeneity to obtain a confidence interval of …. 2024. Powered by the Academic theme forCite. -
www.statslab.cam.ac.uk/~qz280/tag/fisher/index.xml
www.statslab.cam.ac.uk/~qz280/tag/fisher/index.xml3 Jun 2024: or I would call them “tests of unusualness” or “tests of aberrance” or “test of fishiness”) as tests where the treatment (or any variable, for ... randomization tests creates a “control group of numbers” to -
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. -
Practical: Randomization inference
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P1.pdf3 Jun 2024: Here are some points you mayconsider. • How do the two randomization tests compare with each other? ... Why?• How can you "invert" the randomization tests to obtain an interval estimator of the treatment. -
CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 1 ...
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E1.pdf3 Jun 2024: Compare this with Fisher’s exact test in the randomization model discussedin lectures. ... i. This test should compare T with quantilesof the standard normal distribution after scaling. -
Confounder Adjustment in Multiple Hypothesis Testing
www.statslab.cam.ac.uk/~qz280/publication/cate/slides.pdf3 Jun 2024: Model andInference. Model andIdentifiability. Estimation. Hypothesis Tests. NumericalExamples. Summary. 12/49. Association test. ... Estimation. Hypothesis Tests. NumericalExamples. Summary. 38/49. Significance test for confounding. Theorem (Wang, Z., -
SISCER Module 12 Lecture 4: Matched Case-Control Studies
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L4.pdf3 Jun 2024: I Mantel–Haenszel test. I Logistic regression adjusting for treatment, stratum indicators (and potentiallyother covariates). ... multiple 22 tablesI Consider sensitivity analysis for Fisher’s exact test in one 22 table. -
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. -
STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 1:…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P1S.pdf3 Jun 2024: examinable) tells us is a valid approximationto the exact distribution of the test statistic under the null. ... the (approximate) p-value for thetwo-sided test statistic. This is known as a permutation or exact test, and you can read a briefdescription -
STATISTICAL MODELLING Part IIC, Michaelmas 2019Practical 6: Binomial…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P6S.pdf3 Jun 2024: This test cannot reject the simpler model without interactions between mumMyopic and dadMyopic. ... To test the hypothesis thatthe effects are equal, we can use the z-test for this coefficient.mumPlusdadMyopic <- (dadMyopic == "Yes") (mumMyopic == -
SISCER Module 12 Lecture 5: Instrumental variables
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L5.pdf3 Jun 2024: IV in Economics: Effect of military service on earnings (Angrist, 1990). ... American Economic Review, 80(3):313–336. Gamazon, E. R., , Wheeler, H. E., Shah, K. -
SISCER Module 15 Practice 3: DID
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/S4.pdf3 Jun 2024: Estimate Std. Error t value Pr(>|t|)## -0.036548937 0.012646474 -2.890049673 0.003893424# cluster-robust standard error with CR2 small-sample correctioncoeftest.twfe <- coef_test(fit.twfe,. ... 2. mod <- lm(form, data = df). # using arguments from here:# -
STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 6: Binomial…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P6.pdf3 Jun 2024: 2 609 439.60 8 40.478 2.61e-06. In contrast to the lm case, here we need to specify that we want to perform a likelihood ratio test (test= ... To formally test this hypothesis, we should createa variable. > mumPlusdadMyopic <- (dadMyopic == "Yes") -
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). -
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. -
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 -
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);. -
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 = -
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 -
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. -
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 -
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%. -
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 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 -
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,. -
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. -
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. -
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 -
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? -
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. -
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 -
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). -
BETS: The dangers of selection bias in early analyses ...
www.statslab.cam.ac.uk/~qz280/talk/ido-2021/slides.pdf3 Jun 2024: False negative test: Her first test was negative. A few days later she wastested again and the result came back positive. ... The principle is to only include cases as Wuhan-exported that pass a “beyond areasonable doubt” test. -
BETS: The dangers of selection bias in early analyses ...
www.statslab.cam.ac.uk/~qz280/talk/osu-2020/slides.pdf3 Jun 2024: False negative test: Her first test was negative. A few days later she wastested again and the result came back positive. ... The principle is to only include cases as Wuhan-exported that pass a “beyond areasonable doubt” test. -
Qingyuan Zhao
https://www.statslab.cam.ac.uk/~qz280/3 Jun 2024: 2024-02-08 2:00 PM — 3:00 PM London School of Economics and Political Science (LSE). -
The Cycle of Statistical Research Qingyuan Zhao Statistical…
www.statslab.cam.ac.uk/~qz280/talk/ccimi-2020/slides.pdf3 Jun 2024: History. Three movements:. Around 1900: Standard deviation, correlation, regression analysis, method ofmoments, χ2-test, student’s t-test,. ... 1930s – 1940s: Confidence intervals, power of a statistical test, stratifiedsampling, decision theory -
CAUSAL INFERENCE Part III / Michaelmas 2023Example Sheet 3 ...
www.statslab.cam.ac.uk/~qz280/teaching/causal-2023/E3.pdf3 Jun 2024: 1. Γ πi/(1 πi)πn1i/(1 πn1i). Γ, i [n1]. For the sign test (see ES1 Q8b), derive a “upper bounding” asymptotic randomization p-value for thismodel. -
SISCER Module 12 Lecture 6: Negative Controls and…
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/L6.pdf3 Jun 2024: 2020). Can labor market policies reduce deaths ofdespair? Journal of health economics, 74:102372. -
Practical: Matching/Weighting and Sensitivity Analysis
www.statslab.cam.ac.uk/~qz280/teaching/siscer-2023/P2.pdf3 Jun 2024: Remark: For example, we can apply the Wilcoxon signed rank test, as follows. -
Using sparsity to overcome unmeasured confounding:Two examples…
www.statslab.cam.ac.uk/~qz280/talk/mrc-bsu-2019/slides.pdf3 Jun 2024: Related problem: Gene colocalization test. Stylized statistical problem(γ̂. Γ̂. ) N. (( ... A standard test uses (Plagnol et al, 2009, Biostatistics). 2l(β̂) d χ2p1 under the above model. -
STATISTICAL MODELLING Part IIC, Michaelmas 2021Practical 1:…
www.statslab.cam.ac.uk/~qz280/teaching/modelling-2022/P1.pdf3 Jun 2024: To make sure that neither of them is more lenient than the other,they want to test whether their average marks are equal.
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