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Essential Terminology for Statistical Tests Explained Simply
All student researchers must fully understand basic statistical terms before applying hypothesis-based tests to assist with interpretation of data.
Dec 8, 2010
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Ken Chan
Mahalanobis Distance and its Relation to the Standard Deviation
When recording more than one measurement, use the Mahalanobis distance rather than the standard deviation to assess how far a sample is from the average.
Dec 5, 2010
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Richard Brereton
Geometric Progression Math Formulas - Derivation and Usage
Geometric progressions are a series of numbers, where each term is a fixed number times the previous term. This article discusses the formulas and their use
Nov 29, 2010
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Martin Bell
Arithmetic Progression Math Formulas - Derivation and Usage
Arithmetic progressions are a series of numbers, where each term is a fixed number plus the previous term. This article discusses formulas and their uses.
Nov 25, 2010
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Martin Bell
Cryptic Codes: The Beale Ciphers
Decipher this code and discover the location, somewhere in Virginia, of buried treasure of gold, silver, and jewels.
Nov 23, 2010
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William Taylor
Differences in the Use of Parametric and Non-parametric Tests
Recognition is growing for non-parametric techniques to replace the older parametric equivalents in many hypothesis-testing situations. Do you know why?
Nov 11, 2010
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Ken Chan
Excel Spreadsheet Help : Matrix Operations and Formulas
The main matrix operations in Excel, including addition, subtraction, mmult, minverse and transpose, are described.
Nov 11, 2010
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Richard Brereton
Understanding Trigonometric Functions
Students come home needing help with their trig homework. This article will give a simple definition of how trig ratios work.
Nov 5, 2010
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Kelley Huston
The Pythagorean Theorem Explained
Pythagoras's most famous contribution to the study of mathematics is explained in this article.
Nov 5, 2010
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Kelley Huston
Basic Matrix Operations
The main matrix operations, including addition, subtraction, multiplication, transposition and inversion are described; singular matrices are defined.
Nov 3, 2010
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Richard Brereton
Basic Matrix Arithmetic for the Perplexed
Matrices are not scary and are widely used. The basic rules of addition, subtraction and multiplication are described.
Nov 2, 2010
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Richard Brereton
Use of Matrices and Vectors for Representing Information
Don't be scared to represent data in the form of matrices or vectors. This article shows how most numerical information can be represented in this format.
Oct 31, 2010
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Richard Brereton
Sin(a+b) Proof Using De Moivre's Theorem - Sine Sum of Angles
This article uses De Moivres Theorem to prove the formula for sin(a+b) and cos(a+b). There are trigonometric proofs for sin(a+b) but this method is shorter.
Oct 27, 2010
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Martin Bell
The F-distribution and its Relation to the T-distribution
The F-distribution is described together with its relation to the t-distribution, analogous to the relation between the chi-squared and normal distribution.
Oct 12, 2010
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Richard Brereton
Algebra Help - Complex Conjugates To Simplify Imaginary Fractions
There is an easy method used to simplify fractions when the denominator is a complex number. The process uses the "difference of two squares".
Oct 6, 2010
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Martin Bell
Understanding Chi-squared Tables and Probabilities
The intepretation of chi-squared in the form of probabilities is described with reference to Excel and tables of critical values.
Oct 1, 2010
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Richard Brereton
Trigonometry Sin(a+b) Cos(a+b) Sin(a)+Sin(b) Cos(a)+Cos(b)
The trigonometric functions sin(x+y), cos(x+y) are described, and the sum of sines and cosines - sin(x)+sin(y) and cos(x)+cos(y) are described and derived.
Sep 2, 2010
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Martin Bell
Online Math Degree or College Attended Math Degree Choice
Having chosen to do a mathematics degree, the next step is to choose an attended college degree or an online / distance learning college course.
Sep 1, 2010
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Martin Bell
Chi Squared and its Relation to the Normal Distribution
The chi-squared distribution is directly related to the normal distribution, but is useful in situations when more than one type of measurement is obtained.
Aug 26, 2010
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Richard Brereton
Straight Line Equations, Gradients, Slopes and Intercepts Lesson
Equations for straight lines fall into two simple groups. This article describes both, and how to determine the slope and intercept of any straight line.
Aug 19, 2010
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Martin Bell