Life of ChangChang Liu's blog
https://hellochang.github.io/
Bootstrap-t Confidence Interval
A Note on Bootstrap-t Confidence Interval -
Bootstrap-t Confidence Interval We want to approximate the sampling distribution of a pivotal quantity with bootstrap distribution so that we could construct a confidence interval. The method is similar to approximating a sampling distribution of a pivotal quantity using a t-distribution. The Step-By-Step Approach Given a sample 𝒮, an attribute...
Thu, 18 Mar 2021 00:00:00 -0400
https://hellochang.github.io/2021-03-18-bootstrap-t/
https://hellochang.github.io/2021-03-18-bootstrap-t/Statistical Sampling
Sampling in Statistics -
Sample Sample Definitions A sample S is a subset of the population. A sample has n < < N units. An sample attribute a(𝒮) is an estimate of the population attribute a(𝒫) \(a(\\mathcal S) = \\widehat{a(\\mathcal P)} = a(\\hat{\\mathcal P})\) Sample error is the difference between the sample estimate a(𝒮) and the population...
Fri, 02 Oct 2020 00:00:00 -0400
https://hellochang.github.io/2020-10-02-sample/
https://hellochang.github.io/2020-10-02-sample/What is Influence?
A brief introduction of influence -
Influence Influence Definition Influence of a variate yu on the population attribute when a variate yu is removed from the population is measured by the following expression: Δ(α,u) = α(y1, …, yu − 1, yu, yu + 1, …, yN) − α(y1, …, yu − 1, yu + 1, …, yN) for each unit u in the population, and α is an arbitrary population attribute. Note the first part of the equation contains...
Sun, 13 Sep 2020 00:00:00 -0400
https://hellochang.github.io/2020-09-13-influence/
https://hellochang.github.io/2020-09-13-influence/Grade 5 Students in California
A Quick Look at Stardardized Test Scores of Grade 5 Students in California -
Stardardized Test Scores of Grade 5 Students in California Describing the Data The data contains the average standardized test scores of grade 5 students in each school in California in the school year of 1998 through On top of the scores, information are collected on areas such as the number...
Mon, 11 May 2020 00:00:00 -0400
https://hellochang.github.io/2020-05-11-gr5-test-scores/
https://hellochang.github.io/2020-05-11-gr5-test-scores/An Analysis of Superbowl TV Shows
1. TV, halftime shows, and the Big Game Whether or not you like football, the Super Bowl is a spectacle. There's a little something for everyone at your Super Bowl party. Drama in the form of blowouts, comebacks, and controversy for the sports fan. There are the ridiculously expensive ads,...
Wed, 22 Apr 2020 00:00:00 -0400
https://hellochang.github.io/2020-04-22-super-bowl/
https://hellochang.github.io/2020-04-22-super-bowl/