Conventional statistical process control (SPC) charts require the normality assumption on the process response distribution. In reality, this assumption is often invalid. In such cases, it has been well demonstrated in the literature that results from control charts using the normality assumption may not be reliable in the sense that their actual false alarm rates could be substantially larger ...

Curran-Everett D. Explorations in statistics: the assumption of normality. Adv Physiol Educ 41: 449–453, 2017; doi:10.1152/ advan.00064.2017.—Learning about statistics is a lot like learning about science: the learning is more meaningful if you can actively explore. This twelfth installment of Explorations in Statistics explores the assumption of normality, an assumption essential to the meanin...

Maria E. Calzada and Stephen M. Scariano Loyola University New Orleans New Orleans, LA 70118 [email protected] Abstract: A host of materials in an introductory level statistics course relies on the “normality assumption.” However, assessing normality is a very subtle and difficult task, even for expert data analysts. To aid our student’s understanding we have written a program that implements a...

The normality of the log-returns for the price of the stocks is one of the most important assumptions in mathematical finance. Usually is assumed that the price dynamics of the stocks are driven by geometric Brownian motion and, in that case, the log-return of the prices are independent and normally distributed. For instance, for the Black-Scholes model and for the Black-Scholes pricing formula...

The purpose of this study was to analyze the effect using e-learning with google classroom and learning discipline on motivation students brothers sisters house in Surabaya city during Covid-19 pandemic. This research is quantitative. used proportional random sampling Slovin formula so that sample amounted 90 students. data techniques were questionnaires interviews. Testing instruments consiste...

In a recent paper, Hughes (1999) showed that the power of tests of linear regression parameters could be improved by utilizing one-sided information regarding the nuisance parameters in the testing problem. In this paper, we extend this principle to the problemof diagnosing departures from the assumption of normality in linear regression residuals. We show that the asymptotic theory of the popu...