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A New Test For Normality, Richard Leroy Roller Dec 1971

A New Test For Normality, Richard Leroy Roller

All Master's Theses

This paper presents a new test for normality which is based on a complete characterization of the normal distribution. Motivation for the test is given in terms of a proof of this characterization. The test is derived and evaluated by computer-simulated sampling from alternative distributions. The empirical powers of the test generated from such samplings are tabled and compared to nine commonly used tests. Evaluation of the proposed test is discussed and further avenues of investigation are suggested.


A Comparative Investigation Of The Effects Of Frequent Testing Upon Achievement In Secondary Advanced Algebra, John Thomas Fullerton Aug 1971

A Comparative Investigation Of The Effects Of Frequent Testing Upon Achievement In Secondary Advanced Algebra, John Thomas Fullerton

All Master's Theses

Relatively speaking, few studies have concerned themselves with the problem of frequent testing, and as Keys pointed out, empirical evidence, uncomplicated by differences in the amount of testing material employed, on the effects of frequent testing is, at best, scarce (14:427). Also many studies used tests and test results for direct instruction, thus introducing additional variables. Furthermore, the choice of subjects and disciplines has been limited, the better part being taken from college psychology and sociology classes or high school science classes. This investigation was not an attempt to modify previous experiments, nor was it an attempt to identify which …


Orthogonality In Normed Spaces, Martin R. Mccarthy Aug 1971

Orthogonality In Normed Spaces, Martin R. Mccarthy

All Master's Theses

This paper presents three definitions of orthogonality in normed spaces. Each definition is shown equivalent to the inner product being zero when restricted to an inner product space. The definitions arise from such properties in two space as the diagonals of a rectangle being equal and the Pythagorean Theorem. The third definition shows that the idea of an inner product can be generalized under certain conditions.


Relationships Between Reversible And Connected Automata, Robert Michael Johnson Jul 1971

Relationships Between Reversible And Connected Automata, Robert Michael Johnson

All Master's Theses

The present investigation explores some of the relationships among special classes of automata defined by Bavel and Muller (1:231-240), Trauth (6:170-175), and Cutlip (2).


An Evaluation Of An Early Introduction Of Algebra I To Junior High School Students On An Extended Basis, Ralph H. Peterson Jul 1971

An Evaluation Of An Early Introduction Of Algebra I To Junior High School Students On An Extended Basis, Ralph H. Peterson

All Master's Theses

The purpose of the study is to evaluate the program of mathematics for eighth grade students that provides for an early introduction to Algebra I. The study will (1) gather evidence needed upon which to base a decision to continue the type of grouping described above, and (2) gather evidence to determine changes in the students' attitudes and interest concerning mathematics in general.


Final Examination Scores In Algebra As A Function Of Retesting, Otto Francis Ruud Jun 1971

Final Examination Scores In Algebra As A Function Of Retesting, Otto Francis Ruud

All Master's Theses

Many teachers as well as students feel that our system of evaluation is far from perfect, but these same people have offered no alternative workable plan which would in whole or in part relieve the objections. Hopefully this study will demonstrate a philosophy of the teaching of mathematics in conjunction with a companion plan of evaluation which will relieve many of the basic objections while at the same time produce more learning. The philosophy that a more cooperative attitude in regard to assignments, testing, and make-up work are more conducive to learning is the basic aspect of this study. It …


The Development And Implementation Of An Auto-Tutorial Approach To Trade Mathematics, Warren Dwight Monroe Jan 1971

The Development And Implementation Of An Auto-Tutorial Approach To Trade Mathematics, Warren Dwight Monroe

All Master's Theses

The problem of this thesis deals with the instruction of trade mathematics. The major problem involves teaching trade mathematics to a heterogeneous group of technical students. The final outcome must be students mathematically competent to function in their chosen technical area. The method of instruction must be flexible enough to allow for individual differences. The mode of instruction must be able to accept the student where he is mathematically and take him to where he needs to go. The procedure used to solve this thesis problem is the auto-tutorial method of instruction. The solution involved the development of performance objectives, …