Lecture 01-introduction - 1036: Probability &...

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Prob. & Stat. Lecture01 - introduction (cwliu@twins.ee.nctu.edu.tw) 1-1 1036: Probability & Statistics 1036: Probability & 1036: Probability & Statistics Statistics Lecture 1 Lecture 1 -- -- Introduction to Introduction to Statistics and Data Analysis Statistics and Data Analysis
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Prob. & Stat. Lecture01 - introduction (cwliu@twins.ee.nctu.edu.tw) 1-2 Statistical Inference • A statistical method – To gather information or scientific data from populations •By samples , or collections of observations • Data have been collected, summarized, reported, and stored – To contribute to the process of making scientific judgments in the face of uncertainty and variation Î Improvement of quality Î That why the success of the Japanese in early 1980s
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Prob. & Stat. Lecture01 - introduction (cwliu@twins.ee.nctu.edu.tw) 1-3 Why Statistics • The true nature of the science • The mathematical techniques that allow us to go beyond merely reporting data but, rather allow the drawing of conclusions about scientific systems • To realize each effect of the process • A mathematical method to make necessary decision/determination of necessary modifications in order to keep the process at a desired level of quality
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Prob. & Stat. Lecture01 - introduction (cwliu@twins.ee.nctu.edu.tw) 1-4 Probability • A measure to quantify the strength or the confidence in our conclusion • The transition between descriptive statistics and inferential statistics • Probability=1 v.s. Probability=0 Confidence
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Prob. & Stat. Lecture01 - introduction (cwliu@twins.ee.nctu.edu.tw) 1-5 Example 1.1 • An engineer encounters data from a manufacturing process in which 100 items are sampled. • He found 10 to be defective.
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Lecture 01-introduction - 1036: Probability &...

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