Calculus > Maclaurin and Taylor series help to approximate functions with a series of polynomials. In other words, you’re creating a function with lots of other smaller functions. As a simple example, you can create the number 10 from smaller…

# Graded Response Model / Ordered Categorical Responses Model

Item response theory > What is a Graded Response Model? Graded response model (or Ordered Categorical Responses Model) is a family of mathematical models for grading responses. Specifically, responses with ordered polytomous categories. Ordered means that there is a specific…

# Axiomatic Probability: Definition, Kolmogorov’s Three Axioms

Probability > Axiomatic probability is a unifying probability theory. It sets down a set of axioms (rules) that apply to all of types of probability, including frequentist probability and classical probability. These rules, based on Kolmogorov’s Three Axioms, set starting…

# Principle of Indifference / Insufficient Reason: Definition & Examples

Bayesian Statistics > What is The Principle of Indifference? The principle of indifference is a rule which tells us how to assign probabilities when we don’t have any special knowledge of a situation. It is also known as the principle…

# Excel Data Analysis ToolPak: Easy Steps and Video 2016-2007

Excel for statistics > How to Load the Microsoft Excel Data Analysis ToolPak Contents (click to skip to that section): Load the Excel Data Analysis Toolpak in Excel 2013-2016 Load the Excel Data Analysis ToolPak in Excel 2007-2010 Notes on…

# Function Composition: Decomposing a Composite Function

Calculus > Function Composition In order to figure out function composition (or to decompose a function), you must be familiar with the eight common function types and with basic function transformations, like: A negative sign flips an axis around the…

# How to Calculate the Velocity of a Falling Object with Examples, Formulas

Calculus > Velocity of a Falling Object How you solve for the velocity of a falling object depends upon what information you’ve been given. For example, if you’ve been given a time (usually in seconds), then the velocity of any…

# Nearest Neighbor Matching: Definition

Statistics Definitions > Nearest neighbor matching is a solution to a matching problem that involves pairing a given point with another, ‘closest’ point. It is important in many very different fields, from data compression to DNA sequencing. Searching for a…

# Tolerance Level / Tolerance Statistics: Definition, Examples

Statistics Definitions > What is a Tolerance Level? The term “tolerance level” has a few different meanings, depending on the context of where the term is being used: Setting Limits As a Measure of Error Measuring Collineariy 1. Setting Limits…

# How to Find the Domain and Range of a Function

Calculus > How to Find the Domain and Range of a Function What is a “Domain” and a “Range”? The domain is the set of x- values that can be put into a function. In other words, it’s the set…