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Abstract

Too many students acquire statistical knowledge and techniques independent of each other. The purpose of this paper is to illustrate the many connections mathematically between parametric statistics and the General Linear Model. With these various connections students will see that parametric statistical analyses are essentially one technique the General Linear Model

Parametric inferential statistics include t-tests of hypothesis, Analysis of Variance (ANOVA), correlation and regression. The ability of analyzing data in a variety of ways and using the General Liner Model (GLM) as a mathematical tool that can be applied for making these inferences are described. This paper shows connections between t-tests, ANOVA’s, correlations, and regression. The capabilities of EXCEL to do mathematics, apply the Data Analysis Toolpak, find p-values for these tests and perform matrix algebra operations are demonstrated. Numerous ways of achieving the same results are displayed.

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