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14. Lecture 15. Hypothesis testing in the linear model ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-15-linear-hypotheses-4.pdf6 Mar 2017: x 4 507.9 127.0 1.17 0.354. Residuals 20 2170.1 108.5. The p-value is 0.35, and so there is no evidence for a difference -
12. Lecture 13. Linear models with normal assumptions Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-13-normal-linear.pdf10 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). -
12. Lecture 13. Linear models with normal assumptions Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-13-normal-linear-4.pdf28 Feb 2017: Y5. . RSS =5. i=1. 5j=1(Yi,j µ̂i )2 =. 5i=1. 5j=1(Yi,j Yi.)2 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). -
9. Lecture 10. Tests of homogeneity, and connections toconfidence ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-10-homogeneity-CIs.pdf20 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. Lecture 10. Tests of homogeneity, and connections toconfidence ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-10-homogeneity-CIs-4.pdf20 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 -
8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence.pdf20 Feb 2017: Testing independence in contingency tables. Then (oijeij )2. eij= 36.20, and df = (3 1)(3 1) = 4. ... From tables, χ24(0.05) = 9.488 and χ24(0.01) = 13.28. So our observed value of 36.20 is significant at the 1% level, ie there is strongevidence -
8. Lecture 9. Tests of goodness-of-fit and independence Lecture ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-09-fit-independence-4.pdf20 Feb 2017: Testing independence in contingency tables. Then (oijeij )2. eij= 36.20, and df = (3 1)(3 1) = 4. ... From tables, χ24(0.05) = 9.488 and χ24(0.01) = 13.28. So our observed value of 36.20 is significant at the 1% level, ie there is strongevidence -
7. Lecture 8. Composite hypotheses Lecture 8. Composite hypotheses ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-08-composite-hypotheses.pdf20 Feb 2017: Suppose thatX1,. ,Xn are iid N(µ,σ. 20 ), with σ. 20 known, and we wish to test H0 : µ = µ0. -
7. Lecture 8. Composite hypotheses Lecture 8. Composite hypotheses ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-08-composite-hypotheses-4.pdf20 Feb 2017: Suppose thatX1,. ,Xn are iid N(µ,σ. 20 ), with σ. 20 known, and we wish to test H0 : µ = µ0. -
6. Lecture 7. Simple Hypotheses Lecture 7. Simple Hypotheses ...
www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-07-simple-hypotheses.pdf6 Feb 2017: 20 is known. We want to find. the best size α test of H0 :µ=µ0 against H1 :µ=µ1, where µ0 and µ1 are knownfixed values with µ1 > µ0.
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