PPT-1 Regression Verification

for MultiThreaded Programs Sagar Chaki SEIPittsburgh Arie Gurfinkel SEIPittsburgh Ofer Strichman TechnionHaifa Originally presented at VMCAI 2012 VSSE 2012 2 Regression Verification. isavectorofparameterstobeestimatedand x isavectorofpredictors forthe thof observationstheerrors areassumedtobenormallyandindependentlydistributedwith mean 0 and constant variance The function relating the average value of the response to the pred Design. Basics. Two potential outcomes . Yi(0) . and. Yi(1), . causal effect . Yi(1) − Yi(0), . binary treatment indicator . Wi. , . covariate. Xi, . and the observed outcome equal to:. At . Xi = c . Greg Cox. Richard Shiffrin. Continuous response measures. The problem. What do we do if we do not know the functional form?. Rasmussen & Williams, . Gaussian Processes for Machine Learning. http://www.gaussianprocesses.org/. Xi Chen. Machine Learning Department. Carnegie Mellon University. (joint work with . Han Liu. ). . Content. Experimental Results. Statistical Property . Multivariate Regression and Dyadic Regression Tree. Professor William Greene. Stern School of Business. IOMS Department . Department of Economics. Statistics and Data Analysis. Part . 10 – Advanced Topics. Advanced topics. Nonlinear Least Squares. Nonlinear Models – ML Estimation . SIT095. The Collection and Analysis of Quantitative Data II. Week 7. Luke Sloan. About Me. Name: Dr Luke Sloan. Office: 0.56 . Glamorgan. Email: . SloanLS@cardiff.ac.uk. To see me: . please email first. Andrea . Banino. & Punit . Shah . Samples . vs. Populations . Descriptive . vs. Inferential. William Sealy . Gosset. (‘Student’). Distributions, probabilities and P-values. Assumptions of t-tests. Chapter 3 – Exploring Data. Day 3. Regression Line. A straight line that describes how a . _________ . variable, . __. ,. . changes as an . ___________ variable. , . ___. ,. . changes. used to . __________ . Intro to PS Research Methods. Announcements. Final on . May 13. , 2 pm. Homework in on . Friday. (or before). Final homework out . Wednesday 21 . (probably). Overview. we often have theories involving . Stat-GB.3302.30, UB.0015.01. Professor William Greene. Stern School of Business. IOMS Department . Department of Economics. Statistical Inference and Regression Analysis. Part 0 - Introduction. . Professor William Greene; Economics and IOMS Departments. NBA 2013/14 Player Heights and Weights. Data Description / Model. Heights (X) and Weights (Y) for 505 NBA Players in 2013/14 Season. . Other Variables included in the Dataset: Age, Position. Simple Linear Regression Model: Y = . Verification Tracking Flag. 2016-2017. 2017-2018. V1. Standard Verification Group. Standard Verification Group. V4. Custom Verification (HS Completion, Identity, SNAP, Child Support Paid). In linear regression, the assumed function is linear in the coefficients, for example, . .. Regression is nonlinear, when the function is a nonlinear in the coefficients (not x), e.g., . T. he most common use of nonlinear regression is for finding physical constants given measurements.. Regression Trees. Characteristics of classification models. model. linear. parametric. global. stable. decision tree. no. no. no. no. logistic regression. yes. yes. yes. yes. discriminant. analysis.