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  2. 1 Statistics 1B Interludes 15. Statistics and a mass ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-15-shipman.pdf
    10 Mar 2017: 20. 0. 20. 40. 60. 80. 100. 120. 1977. 1979. 1981.
  3. interlude-2-bias

    www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-2-bias.pdf
    25 Jan 2017: Do you think the population of the Philippines is greater than 20,000,000? •
  4. Mathematical Tripos: Part IB DJS/Lent 2017 Statistics: Example Sheet…

    www.statslab.cam.ac.uk/Dept/People/djsteaching/ex-S1B-17-2.pdf
    21 Feb 2017: 20 and σ. 21 (> σ. 20). Show. that this test is a size α uniformly most powerful test for testing H′0 : σ2 σ20 against.
  5. 1 Statistics 1B Interludes 10. Multiple testing Testing many ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-10-multiple-testing.pdf
    28 Feb 2017: Can use a/n as a significance level [Bonferroni]. i.e. could have used 0.05/20 = 0.0025 for jelly beans.
  6. 9. Lecture 10. Tests of homogeneity, and connections toconfidence ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-10-homogeneity-CIs.pdf
    20 Feb 2017: The responses were as shown in the table below. Improved No difference WorsePlacebo 18 17 15 50Half dose 20 10 20 50Full dose 25 13 12 50. ... Example 10.2. Example 10.1 continued. oij Improved No difference WorsePlacebo 18 17 15 50Half dose 20 10 20
  7. Mathematical Tripos: Part IB DJS/Lent 2017 Statistics: Example Sheet…

    www.statslab.cam.ac.uk/Dept/People/djsteaching/ex-S1B-17-3.pdf
    21 Feb 2017: α (deg) 5 10 15 20 25 30 35 40 45sin 2α 0.1736 0.3420 0.5 0.6428 0.7660 0.8660 0.9397 0.9848 1range (m) 4860
  8. 9. Lecture 10. Tests of homogeneity, and connections toconfidence ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-10-homogeneity-CIs-4.pdf
    20 Feb 2017: The responses were as shown in the table below. Improved No difference WorsePlacebo 18 17 15 50Half dose 20 10 20 50Full dose 25 13 12 50. ... Example 10.2. Example 10.1 continued. oij Improved No difference WorsePlacebo 18 17 15 50Half dose 20 10 20
  9. 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: On average in the country around 10% of peopledie, but mortality rates in different hospitals vary from around 3% to around 20%.Hospital H has no deaths in their first 10 ... It turns out that a Beta(a=3,b=27) prior distribution has mean 0.1 andP(0.03 <
  10. 4. Lecture 5. Confidence Intervals Lecture 5. Confidence Intervals ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-05-confidence-intervals.pdf
    30 Jan 2017: Suppose an opinion poll says 20% are going to vote UKIP, based on a randomsample of 1,000 people. ... Now var(Xn. )= p(1p)n. p̂(1p̂)n =. 0.20.81000 = 0.00016. So a 95% CI is(p̂1.96.
  11. 12. Lecture 13. Linear models with normal assumptions Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-13-normal-linear.pdf
    10 Mar 2017: on n p = 25 5 = 20. ... degrees of freedom. For these data, σ̃ =. RSS/(n p) =. 2170/20 = 10.4. Lecture 13. Linear models with normal assumptions 5 (1–1).

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