Mathematics B Flashcards
continuous > continuous > ?
Regressions
continuous > discrete > ?
Logistic Regressions
Discrete > continuous > normal > 2 grp > unpaired
T-Test
Discrete > continuous > normal > 2 grp > paired
Paired T-Test
Discrete > Continuous > Normal > >2 grp
ANOVA
Discrete > Continuous > Skewed > 2 grp > Unpaired
Mann-Whitney UTest
Discrete > Continuous > Skewed > 2 grp > Paired
Wilcoxon Signed Rank Test
Discrete > Continuous > Skewed > >2 grp > Unpaired
Kruskall-Wallis Test
Discrete > Continuous > Skewed > >2grp > Paired
Friiedman Test
Discrete > Discrete > 2 grp > Unpaired > Counts >= 5 in >= 75% of cells
Chi-square Test
Discrete > Discrete > 2 grp > Unpaired > Counts >=5 in < 75% of cells
Fisher’s Exact Test
Discrete > Discrete > 2 grp > Paired
McNemar’s Test
Discrete > Discrete > >2 grp
Chi-square Test
What is the Euclidean Norm of a vector?
Its magnitude
How would you turn a vector into a unit vector?
Divide it by its magnitude
How to find the distance between two vectors?
Subtract them and find the magnitude of the resulting vector
What is the triangle inequality?
The magnitude of the sum of two vectors is the same as or smaller than the sum of the magnitude of those two vectors
Angle between two vectors?
u.v = |u||v|cos(theta)
What do the values of the dot product mean?
-1/1 = parallel. 0 = orthogonal
What does the dot product of a vector and a unit vector give?
The distance along the unit vector that is the closest to the end of the other vector (connects at a right angle)
What does the cross product of two vectors produce?
A vector that is orthogonal to both of them. Only works in 3D
How to find vector orthogonal to 2 other vectors?
Matrix with top row (i, j, k). Other two rows are the vectors. Find determinant and that’s the vector.
Derivatives of special functions?
Product Rule?