Examples using R – Randomized Block Design

Problem : We wish to determine whether or not four different tips produce different readings on a hardness testing machine. An experiment such as these might be part of a gauge capability study. The machine operates by pressingthe tip into a metal test coupon, and frm the depth of the resulting depression, the hardness of … Read more

Examples using R – Analysis of Variance

Problem: A product development engineer is interested in investigating the tensile strength of a new synthetic fiber that will be used t omake cloth for men’s shirts. The engineer knows from previous experience that the strength is affected by he weight percent of cotton used in the blend of materials for the fiber. Furthermore, she … Read more

Examples – Comparing two conditions using R.

Problem : The tension bond strangth of portland cement mortar is an important characteristic of the product. An engineer in interested in comparing the strength of a modified formulation in which polymer latex emulsions have been added during mixing to the strength of the unmodified mortar. The experimanter has collected 10 observations on strength for … Read more

Design of Experiments – Introduction

Experiments are performed in various fields to understand the behaviour of a system. In this post we will analyse the common terms used during an experiment design. Experiment : An experiment can be defined as a test or a group of test wherein changes are made to the input variables and the effect of that … Read more

Dimensional Modeling

A company that has a huge volume of data builds a data warehouse so that it can generate reports, perform analytics and make informed decisions. The process of building a data warehouse from a transactional or source system is important and the process that a company selects depends on its long term vision and goal … Read more

Introduction to data Warehouse

Many companies spend a fortune in organizing and storing their data. The amount of data that is generated daily may vary for different companies but it is not uncommon to hear of scores of GB of data for medium sized companies and terabytes of data for large enterprises. It is indeed challenging to store this … Read more

Statistics – Examples

T-Test:Problem : A swimming instructor wants to prove that the swimming speed of an athlete increases if the athelete performs some specific exercises before the swim. He undertakes an experiment with 16 participants and randomly assignes 8 participants to each team. For team A he recommends some common exercises and for team B he recommends … Read more

Non Parametric Statistics

The earlier posts on inferential statistics show methods that work on data whose population parameters and distribution are known. However, there are cases where the population parameters are not known. In such cases, no assumption can be made about the population statistics and hence parametric methods cannot be used. In such cases there are certain … Read more

Multiple Regression model building

Polynomial Regression: First order regression models contain predictors that are single powered. Polynomial models have one or more predictors having a power of more than one. A quadratic model has a predictor in the first and second order form.Since the constants are linear, the variable x1 squared can be recoded to x2 and then the … Read more