PPT-Randomized Algorithms

CS648 Lecture 25 Derandomization using conditional expectation A probability gem 1 Derandomization using conditional expectation 2 Problem 1 Large cut in a graph Problem Let . Randomiza tion if done properly can keep study groups as similar as possible at the outset so that the investigators can isolate and quantify the effect of the interventions they are studying No other study design gives us the power to balance unkno Impact Evaluation Methods for Policy Makers. This material constitutes supporting material for the "Impact Evaluation in Practice" book. This additional material is made freely but please acknowledge its use as follows: . CS648. . Lecture 3. Two fundamental problems. Balls into bins. Randomized Quick Sort. Random Variable and Expected . value. 1. Balls into BINS. Calculating probability of some interesting events. 2. Dr. Kari Lock Morgan. Collecting Data: Randomized Experiments. SECTION 1.3. . Randomized Experiments. Exercise and the Brain. A study found that elderly people who walked at least a mile a day had significantly higher brain volume (gray matter related to reasoning) and significantly lower rates of Alzheimer’s and dementia compared to those who walked less. CS648. . Lecture 15. Randomized Incremental Construction . (building the background). 1. Partition Theorem. A set of events . ,…,. . defined over a probability space (. ,. P. ) is said to induce a partition of . CS648. . Lecture 6. Reviewing the last 3 lectures. Application of Fingerprinting Techniques. 1-dimensional Pattern matching. . Preparation for the next lecture.. . 1. Randomized Algorithms . discussed till now. CS648. . Lecture 17. Miscellaneous applications of . Backward analysis. 1. Minimum spanning tree. 2. Minimum spanning tree. . 3. b. a. c. d. h. x. y. u. v. 18. 7. 1. 19. 22. 10. 3. 12. 3. 15. 11. 5. of a graph. Spyros Angelopoulos*. Christoph . Dürr. *. Thomas . Lidbetter**. *. Sorbonne Universités. , UPMC . Univ. Paris 06, CNRS, LIP6, Paris, . France. **Department of Mathematics, London School of Economics, . Quicksort. . [CLRS, kapitel 7]. Gerth Stølting Brodal. Sandsynligheden for at slå krone. 1/2. Quicksort:. Sorter . A. [. p. ... r. ]. Hoare, 1961. Worst-case tid . O(. n. 2. ). A. p. r. x. A. p. r. . Lecture 2. Randomized Algorithm for Approximate Median. Elementary Probability theory. 1. Randomized Monte Carlo . Algorithm for. . approximate median . 2. This lecture was delivered at slow pace and its flavor was that of a tutorial. . What is an Experiment?. Campbell & Stanley stressed random assignment to experimental treatments.. I stress manipulation of the independent variable.. Quasi-Experiments: C&S’s term for research where. Holger Thiele, . MD. o. n behalf of the CULPRIT-SHOCK Investigators. Disclosure Statement of Financial Interest. Grant/Research . Support. Consulting Fees/Honoraria. Major Stock Shareholder/Equity. Royalty Income. PROOF IN MEDICAL RESEARCH. Susan S. . Ellenberg. , Ph.D.. Department of Biostatistics and Epidemiology. Perelman School of Medicine, U Penn. Statistics is the science of uncertainty. Biostatistics is the application of statistics to biological problems. Wendy . Parulekar. MD, FRCP(C). Wei Tu PhD. Objectives. To review the classification of randomized phase II trial designs. To propose and critique potential  randomized phase II trials designs for a concept in head and neck cancer (case scenario to be presented).