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  2. 6. Lecture 7. Simple Hypotheses Lecture 7. Simple Hypotheses ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-07-simple-hypotheses-4.pdf
    6 Feb 2017: It says that the most powerful test (ie the one with the smallest Type II errorprobability), among tests with size smaller than or equal to α, is the size αlikelihood ratio ... This is called a z-test. Lecture 7. Simple Hypotheses 9 (1–1).
  3. 14. Lecture 15. Hypothesis testing in the linear model ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-15-linear-hypotheses.pdf
    6 Mar 2017: Generalised likelihood ratio test. The generalised likelihood ratio test of H0 against H1 is. ... Hypothesis testing in the linear model 15.5. Null distribution of test statistic.
  4. 1 Statistics 1B Interludes 13. ‘Not statistically significant’ Most…

    www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-13-non-significance.pdf
    6 Mar 2017: Only one excluded 1. 2. 30 more sensitive tests? Children shown below• Paper and press release only reported.
  5. 14. Lecture 15. Hypothesis testing in the linear model ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-15-linear-hypotheses-4.pdf
    6 Mar 2017: Generalised likelihood ratio test. The generalised likelihood ratio test of H0 against H1 is. ... Hypothesis testing in the linear model 15.5. Null distribution of test statistic.
  6. Mathematical Tripos: Part IB DJS/Lent 2017 Statistics: Example Sheet…

    www.statslab.cam.ac.uk/Dept/People/djsteaching/ex-S1B-17-1.pdf
    17 Jan 2017: Comments and corrections to david@statslab.cam.ac.uk. 1. Ask your supervisor to test you on the sheet of common distributions handed out inlectures.
  7. 15. Lecture 16. Linear model examples, and ’rules of ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-16-linear-examples-4.pdf
    6 Mar 2017: A size α test is to reject H0 if |t| > tnm2(α/2). ... 16. Linear model examples 16.2. Paired observations. In R code:. > t.test(x,y,paired=T).
  8. 10. Lecture 11. Multivariate Normal theory Lecture 11. Multivariate…

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-11-MVN.pdf
    7 Mar 2017: sheet 3 for use of t distributions in hypothesis tests.Lecture 11.
  9. 13. Lecture 14. Applications of the distribution theory Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-14-normal-applications-4.pdf
    6 Mar 2017: This does not contain 0. Hence if carry out a size 0.05 test of H0 : b = 0 vs. ... H1 : b 6= 0, the test statistic would be b̂s.e.(b̂) =12.91.99 = 6.48, and we would.
  10. 5. Lecture 6. Bayesian estimation Lecture 6. Bayesian estimation ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-06-bayesian.pdf
    6 Feb 2017: Examples are spam filters, text and speech recognition, machine learning,bioinformatics, health economics and (some) clinical trials.
  11. 10. Lecture 11. Multivariate Normal theory Lecture 11. Multivariate…

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-11-MVN-4.pdf
    28 Feb 2017: 1 α = P(tn1( α2 ). n(X̄ µ)σ̃. tn1( α2 )). and has endpoints. X̄ σ̃n. tn1( α2 ). See example sheet 3 for use of t distributions in hypothesis tests.Lecture

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