<article_id>JMAT_V3_N2_RP1</article_id>
<title>The Trimetric Tri–Squared Test: An Advanced Post Hoc Exact Test Designed to Statistically Determine Construct Validity</title>
<author>James Edward Osler II</author>
<journal>Journal on Mathematics</journal>
<issn>2277-5137</issn>
<volume>3</volume>
<issue>2</issue>
<first_page>13</first_page>
<last_page>21</last_page>
<keywords>Algebra, Categorical, Construct Validity, Del Operator, Exact Test, Instrument, Investigation, Mathematical Model, Nabla, Outcomes, Post Hoc, Research, Statistics, Trichotomy, Trimetric Test, Validity, and Variables</keywords>
<abstract>This monograph provides a logical and epistemological rational for the Post Hoc testing of the instrumentation used in the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in the Journal on Mathematics and expounded upon in the Journal on Educational Psychology. An advanced Post Hoc statistical measure using the Del Differential Operator and Matrix Algebra is used to determine the Construct Validity of researcher designed instruments using the Tri–Squared research design parameters. This additional novel approach to advanced data analysis adds additional value to Tri–Squared as an innovative mixed methods approach to investigative inquiry.</abstract>
<date>April - June 2014</date>
<copyright>Copyright &copy; 2014 i-manager publications. All rights reserved.</copyright>
<publisher>i-manager Publications</publisher>
<article_url>http://www.imanagerpublications.com/Article.aspx?ArticleId=3001</article_url>