Search

10 May 2020: Remark. If our linear program is a minimisation (rather than amaximisation), then the test of optimality of step (1) is to stop ifthe payoff row of the tableau is non-negative

17 Feb 2020: 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?

6 May 2020: If no x1 feasible exists, then STOP! the problem is unbounded.Otherwise, test the optimality of x1 and repeat if necessary.

11 Mar 2020: Find thelikelihood ratio test of size α. (b) The scientist repeats the test in part (a) for each characteristic j = 1,. ... ratio test of equality of means rejects H0 if. 1I1. Ii=1 ni(Y i Y )2.

31 Jan 2020: STATISTICS Part IBExample Sheet 1 (of 3) Lent 2020. 1. Ask your supervisor to test you on the sheet of common distributions on the course website.

4 Feb 2020: 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).

4 Feb 2020: The ’generalised likelihood ratio test’. The next theorem allows us to use likelihood ratio tests even when we cannotfind the exact relevant null distribution. ... Generalised likelihood ratio tests. The 'generalised likelihood ratio test'.

4 Feb 2020: 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 Feb 2020: Thus D N(µX µY , φ2. n ), and we test H0 : µX µY = 0 by the t statistic. ... 16. Linear model examples 16.2. Paired observations. In R code:. > t.test(x,y,paired=T).

4 Feb 2020: Examples are spam filters, text and speech recognition, machine learning,bioinformatics, health economics and (some) clinical trials.