Full and restricted models - testing research hypotheses, Basic Statistics

1. Suppose you are given a dataset that consists of a random sample of tasters, on which the following variables were obtained:

(y) Zpref = taste preference for green beans stored in brine solution (data is centered)

(x1) saltc   = level of salt in brine

(x2) sugarc  = level of sugar in brine

(x3) saltc2  = salt*salt  or salt-squared

(x4) sugarc2 = sugar*sugar or sugar-squared

The researchers are interested in how varying the levels of salt and/or sugar in a brine solution influence taste preferences of canned green beans packed in a brine solution.  Please answer the following questions. 

Notation:  You may write models without subscripts

                         (e.g. y = b0 + b1 x1 + e    is fine)

a. Write the full and restricted models which - in a models comparison framework - would evaluate the null hypothesis that neither salt nor sugar has a significant linear or curvilinear relationship with taste preference.

b. Using the full model from part a, write the restricted model that implies that sugar has no influence on taste preference. 

c. Suppose you were to see the following SAS code in your program editor window:

   PROC REG;

   MODEL zpref = saltc sugarc saltc2 sugarc2;

   QTERMS: Test saltc2=0, sugarc2=0;

c1) In WORDS, what is the hypothesis being tested in the test statement labeled QTERMS? 

c2) Write the full and restricted models used to evaluate the QTERMS hypothesis.

d. Compared to the full model in a, write the restricted model that simultaneously implies that

1) The linear effect of sugar conditional on level of salt is zero, AND

2) The linear effects of salt and sugar are equal to each other, AND

3) The curvilinear effects of salt and sugar are equal to each other.  Give the SAS PROC REG code needed to evaluate this hypothesis.

Posted Date: 3/8/2013 12:39:12 AM | Location : United States







Related Discussions:- Full and restricted models - testing research hypotheses, Assignment Help, Ask Question on Full and restricted models - testing research hypotheses, Get Answer, Expert's Help, Full and restricted models - testing research hypotheses Discussions

Write discussion on Full and restricted models - testing research hypotheses
Your posts are moderated
Related Questions
Question 1: (a) The grouping of organisational activities (usually into ‘departments' or larger ‘divisions') will be done in different ways. Outline the criteria which can be u

Hanks Western Wear is a western hat retailer in Lubbock, TX.  Though Hanks carries various styles of western hats, every hat has approximately the similar price and invoice (purcha

Base year price 10,12,18,20 and quantity 49,25,10,5 respectively. current yr quantity 50,20,12& 2

if a series of three observations has a mean andd median of 4 and mean absolute deviation of 4/3. what is the series

A.Austria invested cash $1,000 and a type writer $2,500


Depreciation during the financial year  The Resources which are bought during the economical season and its determined that the Depreciation will be incurred on them @ 10% PA it

What is a sole proprietorship? A sole proprietorship is a form of business organization that is owned by one person. The owner is referred to as a sole proprietor. In accoun

Q. Suppose a study is being done and the population is the American public. How would you go about choosing a random sample population to phone for a survey? Solution: One w

do you give the answers with the way you figured the problem out?..