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STATISTICS - Coggle Diagram
STATISTICS
Discrete Distributions
Geometric
Binomial
E(X)=np Var(X)= np(1-p)
Uniform
Poisson
Probability
perms and [coms])
perms - order matters!
arrangements of words - remember repeated letter (eg vowels!) normally involved with factorials
Continuous Random Variables
Written as a probability distribution function : :
Integrate for the cumulative distribution function
Linear combinations of random distributions
E(aX+bY) = aE(x) = bE(y)
Var(aX+bY) = a^2Var(X) + Var(Y)
If X has normal distribution, then aX + b has normal distribution
Testing
NON PARAMETRIC TESTS
SIGN TEST- below and above
median
USE FORMULA SHEET
Wilcoxon Sign Rank - alternative and null hypothesis to do with median
1- find differences, 2- rank differnces
PAIRED SAMPLE
SYMMETRICAL DIST ABOUT MEDIAN
WILCOXON RANK SUM TEST
DIst must be the same shape
Chai Squared test
Use contingency tables to find the expected value
Compare them to the given values using formula (Ei-Oi)^2/Ei to get Chai Sqaured values
PARAMETRIC TESTS
PMCC