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

I want as much information about moderate negative correlation.

Geometric mean of index number of laspeyres and paasches = 229.5468 , while sum of their index number=480 find out laspeyre''s and paasche''s indices.

Administering agency solutions A professional specific by the Office of Economical Control to provide common management of economic sales action. An administering agency is also a

Clipping is one form of distortion that occurs when an amplifier is overdriven, which happens when it attempts to increase voltage or current beyond its limits. When an amplifier

Absorption distributions Probability distributions which represent the number of 'individuals' (such as particles) which fail to cross the speci?ed area containing the hazards o

In the 2009 baseball season, the team that finished the regular season with the best record in the National League was the Los Angeles Dodgers, with a record of 95-67. (For those o

difference between positive and negative correlaiton

Job Order Gosting ln an attempt to conceal a thefi of funds, Kaito Kid, controller of Shinichi Products, lnc. placed a bomb in the company s record vault. The ensuing explosion lef