Importance and Applications of Statistics
Explore the significance of statistics in various fields, learn key concepts like population, sample, and variables, and discover the branches of statistics along with real-world applications and inferential techniques.
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Presentation Transcript
Chapter 0: Why Study Statistics? Chapter 1: An Introduction to Statistics and Statistical Inference 1 http://vadlo.com/cartoons.php?id=71
0,1: Introduction: Goals Create your own definition of statistics. State some applications of Statistics for your field. State the branches of statistics and briefly describe each one. Define: Population, sample, variable Differentiate between probability and statistics. Be able to solve word problems in statistics. 2
What is Statistics Statistics is the science of collecting and interpreting data. Components Collection Organization Analysis Interpretation 3
Applications of Statistics Computer Science client-server performance Chemistry/Physics determining outliers in your data linear regression dealing with large populations and approximations Engineering is one process/technique better than another one? Business Making good decisions Everyday life Medical information Average cell phone usage of Purdue students image processing propagation of error 4
Branches of Statistics Collection of data Descriptive Statistics Graphical and numerical methods used to describe, organize, and summarize data. Inferential Statistics Techniques and methods used to analyze a small, specific set of data in order to draw a conclusion about a large, more general collection of data. 5
Inferential Statistics Claim Status Quo Experiment Check claim Likelihood How likely is the experimental result consistent with the claim? Conclusion The outcome is reasonable The outcome is rare. 6
Definitions A population is the entire collection of individuals or objects to be considered or studied. A sample is a subset of the entire population, a small selection of individuals or objects taken from the entire collection. A variable is a characteristic of an individual or object in a population of interest. Qualitative (categorical) Quantitative (numerical) 7
Solution Trail 1. Find the keywords. 2. Correctly translate these words in statistics. 3. Determine the applicable concepts. 4. Develop a vision, or strategy, for the solution. 5. Solve the problem. 9
