PPT-Random Sampling

and Introduction to Experimental Design Simple Random Sample n measurements from a population Population subset Selected such that Every sample of size n from the population has an equal chance of being selected. RAN#. Random Sampling using Ran#. The Ran#: Generates . a pseudo . random number to 3 decimal places that . is less than 1.. i.e. . it generates a random number in the range . [0, 1. ]. . Ran#. . is in Yellow. Basic Terms. Research units – subjects, participants. Population of . interest (all humans?). Accessible . population – those you can actually try to sample. Intended . sample – those you select for participation. Anup. Bhattacharya. IIT Delhi. . Joint work with Davis . Issac. (MPI), . Ragesh. . Jaiswal. (IITD) and Amit Kumar (IITD). Introduction: Sampling. Select a subset of data. Computations on “representative” subset would approximate computations on whole data. SAI India. September 2011. Sampling is used by SAI-India extensively in. Financial Audit. Compliance Audit. Performance Audit. Sampling. Planning. – selection of units for audit. Audit Execution – selection of transactions for detailed scrutiny. Big Question: How do you know when you have collected enough data and done it appropriately?. Today’s Agenda. Tips and Tricks. Article Review Discussion. Assignment for Feb 24. Sampling Review. Observation Approaches (Qualitative/ Quantitative) and Practice. Richard Peng. M.I.T.. Joint work with . Dehua. Cheng, Yu Cheng, Yan Liu and . Shanghua. . Teng. (U.S.C.). Outline. Gaussian sampling, linear systems, matrix-roots. Sparse factorizations of . L. p. Michael Cohen, Yin Tat Lee, Cameron Musco, Christopher Musco, . Richard . Peng. , Aaron Sidford . M.I.T.. Outline. Reducing Row Count. Row . S. ampling and Leverage Scores. Adaptive Uniform Sampling. Yu Su*, Gagan Agrawal*, . Jonathan Woodring. #. Kary Myers. #. , Joanne Wendelberger. #. , James Ahrens. #. *The Ohio . State University. #. Los . Alamos National . Laboratory. Motivation. Science becomes increasingly data driven;. Choosing your participants for your research.. Sample. The group of participants that make up your research. Samples are supposed to represent the . population . that you are researching but the way you choose to find your sample is dependent on many factors.. How do Sociologists choose the participants for their research?. Starter. Think. - Work independently for 2 minutes to write in as many key concepts into the worksheet as you can. . Pair. - Now, work in a pair with the person sitting next to you for 2 minutes and help each other with any key concepts you couldn't do on your own.. How . can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects . of reality. Albert Einstein. Some parts of these slides were prepared based on . Random Sampling using Ran#. The Ran#: Generates . a pseudo . random number to 3 decimal places that . is less than 1.. i.e. . it generates a random number in the range . [0, 1. ]. . Ran#. . is in Yellow. How . can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects . of reality. Albert Einstein. Some parts of these slides were prepared based on . 7. Introduction. In . a typical statistical inference problem, you want to discover one or more characteristics of a given population. .. However, it is generally difficult or even impossible to contact each member of the population..