day1 - What is Statistics? (Day 1) Statistics: the science...

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What is Statistics? (Day 1) Statistics: the science of collecting, organizing, and interpreting data. To utilize statistics we need to understand: • how the data was collected • why it was collected • how to analyze and interpret the data appropriately Looking out for #1: What can statistics do for me? claims that it contains 1000 chocolate chips in each bag. Is this true? What are the chances that a poker gambler gets a Royal Flush ( AKQJT of the same suit ) in Las Vegas? Does drinking a glass of red wine a day really decrease the chance of heart attacks? Who should I bet on to win the World Series? Among a group of randomly chosen people, how likely is it for two of them to have the same birthday? What is the relationship between Income and Years of Education? Design your own experiment, collect data, analyze data and draw conclusions. Inference about population (using statistical tools) Population Sample of data
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Example: SAT Scores Parents and teachers have been concerned about the trend of declining SAT scores and sought ways to halt the decline, at least at the local level. 50 students (24 males and 26 females), matched according to socio-economic background, participated in a study to examine the effect of classroom atmosphere ( strict or relaxed ) on student performance, as measured by SAT scores at the end of the school year. The students were divided into two groups of 25 each (12 males and 13 females), with Group 1 to study under a strict atmosphere while Group 2 under a very relaxed atmosphere. After nine months, all students were given the same standardized tests: the verbal and mathematics portions of the SAT. Student Group Gender SATMath A Strict F 670 700 B Strict M 700 680 C RelaxedF 750 730 D RelaxedM 690 750 This example involves data collection , data analysis , and statistical inference .
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This note was uploaded on 11/28/2009 for the course STATS STATS10 taught by Professor Sugano during the Spring '09 term at UCLA.

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day1 - What is Statistics? (Day 1) Statistics: the science...

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