10 - 705 : Intermediate Statistics Fall 2012 Homework 4 Solutions

36 - 705 : Intermediate Statistics Fall 2017 Lecture 28 : November 8 Lecturer : Siva

The other way to avoid the curse of dimensionality is to assume sparsity, this means that even though we have many covariates, the true regression function only (strongly) depends on a small number of relevant covariates. This is the type of setting we will focus on. More broadly, the main idea is that we want to think about practically relevant structural properties (like smoothness/sparsity) ...

36 - 705 : Intermediate Statistics Fall 2017

It is worth keeping in mind the trade-off: Bayes estimators although easy to compute are somewhat subjective (in that they depend strongly on the prior π). Minimax estimators although more challenging to compute are not subjective, but do have the drawback that they are protecting against the worst-case which might lead to pessimistic conclusions, i.e. the minimax risk might be much higher than...

Introduction to Proofs: Homework Solutions

Statistics 100A Homework 4 Solutions

First, note that we have a finite number of trials, n = 4 (although the game goes on forever, we are only concerned with the first 4 balls.) Each trial is a Bernoulli trial that is, each trial has only one of two outcomes: white and not white. Define a success as the event that a white ball is drawn. Then the probability of success p is p = 12 . Since each ball is replaced after it is drawn, we...

Effects of Annotations and Homework on Learning Achievement: An Empirical Study of Scratch Programming Pedagogy

In Taiwan elementary schools, Scratch programming has been taught for more than four years. Previous studies have shown that personal annotations is a useful learning method that improve learning performance. An annotation-based Scratch programming (ASP) system provides for the creation, share, and review of annotations and homework solutions in the interface of Scratch programming. In addition...