PPT-Hierarchical Bayesian Analysis: Binomial Proportions

Hierarchical Bayesian Analysis Binomial Proportions Dwight Howards Game by Game Free Throw Success Rate 20132014 NBA Season Data Source wwwnbacom DataModel Description n 70 NBA games during 201314 season that Dwight Howard attempted at least one free throw aka foul shot. Delta On-Time Performance at Hartsfield-Jackson Atlanta International (June, 2003 - June, 2015). http://www.transtats.bts.gov/OT_Delay/ot_delaycause1.asp?display=data&pn=1. Data / Model. Total Operations: 2,278,897. Sheila Farrahi . Amirhossein Heydarizadeh . Oluwayinka Ogunniyi . Like Bermudian islands which are located between Europe and America, Bermudan options are a combination of American and European options. Definition of Binomial coefficient. For nonnegative integers n and r with n . >. r the expansion (read “n above r”) is called a binomial coefficient and is defined by. Evaluating binomial coefficient . Probability Theorem. A binomial is a polynomial with two terms such as . x. + . a. . Often we need to raise a binomial to a power. In this section we'll explore a way to do just that without lengthy multiplication.. In this section we will be able to give real life examples of Fractions and Proportions. We will also learn how to solve and evaluate Fractions and Proportions in word problems.. Lesson plan goals. We are constantly using fractions everyday. Most of the time not really even noticing that we are using fractions. Have you ever checked the clock or a watch for the time? Guess what the time is a fraction of a day so any time you use a watch, clock. Statistics. What you will learn. Be able to state the null and alternative hypotheses for testing the difference between two population proportions.. Know how to examine your data for violations of conditions that would make inference about the difference between the two population proportions unwise or invalid.. Binomial distributions. are models for some categorical variables, typically representing the . number of successes. in a series of . n. independent trials. . The observations must meet these requirements: . Oliver van . Kaick. 1,4 . . Kai . Xu. 2. . Hao. Zhang. 1. . Yanzhen. Wang. 2. . Shuyang. Sun. 1. Ariel Shamir. 3. Daniel Cohen-Or. 4. 4. Tel Aviv University. 1. Simon . Fraser University. Difference Between Proportions. Sometimes we want to see if there is a significant difference between independent groups.. Control group vs. treatment group or placebo group. Men vs. women. Last year vs. this year. What we learned last class…. We are not good at recognizing/dealing with randomness. Our “random” coin flip results weren’t streaky enough.. If B/G results behave like independent coin flips, we know how many families to EXPECT with 0,1,2,3,4 girls.. Delta On-Time Performance at Hartsfield-Jackson Atlanta International (June, 2003 - June, 2015). http://www.transtats.bts.gov/OT_Delay/ot_delaycause1.asp?display=data&pn=1. Data / Model. Total Operations: 2,278,897. Proportion – Learning Outcomes Express quantities as proportions of each other using fractions, decimals, ratios, and percentages. Divide quantities into a given proportion. Express errors as a proportion. 6.3: Binomial and Geometric Random Variables After this section, you should be able to… DETERMINE whether the conditions for a binomial setting are met COMPUTE and INTERPRET probabilities involving binomial random variables Produces a set of . nested clusters . organized as a hierarchical tree. Can be visualized as a . dendrogram. A tree-like diagram that records the sequences of merges or splits. Strengths of Hierarchical Clustering.