John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Statistics

Maximizing Your Data Analysis With The General Linear Model (Glm)

General Linear Model ~ Variance in individual DV scores (Y) explained by IV/predictors (X) and residual error variance (e)~ e norm dist.~ Y contin. The General Linear...

John Rhodes
June 21, 2023
Statistics

A Comprehensive Guide To Developing An Effective Testing Approach For Software Applications.

Testing Approach Raw data –> descriptive stats –> test stat –> p value + 95% CI and Effect sizes –> conclusion Testing approach refers to the systematic...

John Rhodes
June 21, 2023
Statistics

The Importance Of P-Value In Hypothesis Testing: A Statistical Guide

P-Value???? ~ The probability of finding the observed, or more extreme, results when the null hypothesis (H 0) of a study question is true P-value is a...

John Rhodes
June 21, 2023
Statistics

Statistical Significance: Analyzing Data To Determine Real Effects And Reject Null Hypotheses

Determining Significance 1) Determine desired long-run rate of false-positive (Type I) errors (⍺) –> change to 0.0052) Take an estimate of effect (e.g., a mean difference) and...

John Rhodes
June 21, 2023
Statistics

The Uniform Distribution Of P-Values When The Null Hypothesis Is True.

P- value Distribution when Ho is true Flat When the null hypothesis (Ho) is true, the distribution of the p-value follows a uniform distribution between 0 and...

John Rhodes
June 21, 2023
Calculus

One-To-One Functions In Math: Injecting Efficiency Into Cryptography And Data Compression

A function f(x) is one-to-one if x1 ≠ x2 implies f(x1) ≠ f(x2) f(x1) ≠ f(x2). In other words, if every input x has a unique output...

John Rhodes
June 21, 2023
Calculus

Learn The Basics Of One-To-One Functions With Inverse Functions | Math Tips & Tricks

A one-to-one function f has an inverse f−1 satisfyingf−1(f(x)) =__________andf(__________) =y. x;f−1(y) A one-to-one function f has an inverse f−1 satisfying the following: 1. f−1(f(x)) = x...

John Rhodes
June 21, 2023
Calculus

Maximizing Your Math: Simplifying The Trigonometric Expression Tan(Tan^-1(X))

tan(tan−1(x)) =__________for x in__________ . x; (−∞,∞) The given expression is: tan(tan^-1(x)) The value of tan^-1(x) is the angle whose tangent is x, so if we define...