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Statistics

Page history last edited by Steven Cooper 13 years, 5 months ago

Statistics 1
1.	Probability and Set Theory	Venn Diagrams
2.	Sample Spaces	Tree diagrams & Tables
3.	Calculating Probability	Venn diagrams & Tables
4.	Rules of Probability	A $\cup \!\,$ B, A $\cap \!\,$ B
5.	Repeated Selections Probability	Counting Aids
6.	Conditional Probability	P(A\|B)
7.	Bayes Theoerem	Tree diagrams
8.	Discrete Random Variables	Probability Distributions
9.	Mean of a DRV	Σ [ X.P(x) ]
10.	Mean of a function of X	E[aX+b], E[aX²+ bX+ c]
11.	Variance of a DRV	Var[X] = E[X²] - (E[X])²
12.	Variance of a fuction of X	Var[aX + b]
13.	Binomial Expansion	(p + q)ⁿ
14.	The Binomial distribution	ⁿC_rx q^(n-r) x p^r
15.	The E[X] & Var[X] of BIN, & Tables	E[X] = np, Var[X] = npq
16.	Poisson Distribution	Formula & Tables
17.	Binomial to Poisson Approximation	X~ P_o(np) If n>50, p<0.1
18.	Continuous Random Variables - pdf's f(x)	Linear & by integration
19.	Mean & variance of a CRV	E[X] =∫x.f(x) & E[x²] = ∫x².f(x)
20.	Cumulative Distribution Function F(x)	F(x) =∫f(x) between a and x

Statistics Revision Guides

Statistics 2
1.	The Uniform Distribution	Rectangular Distribution
2.	The Normal Distribution (1)	A general introduction
3.	The Normal Distribution (2)	z values on a Standard
4.	The Normal Distribution (3)	Approximating the Binomial
5.	The Normal Distribution (4)	Approximate Measures
6.	The Normal Distribution (5)	Approximating the Poisson
7.	Addition of Poisson Distribution	P_^o(A) + P_^o(B) = Po(A+B)
8.	Distributions of functions of X and Y	(X+Y), (X-Y), and (XY)
9.	Combination of Normal Distributions	X~N(X+Y), X~N(X-Y)
10.	The Central Limit Theorem	For sample means, size (n)
11.	Sampling from Normal Distributions	Sample Mean & Variance
12.	Hypothesis Testing (1)	For Bin & Poisson
13.	Hypothesis Testing (2)	Normal Distributions
14.	Hypothesis Testing (3)	Significance Levels
15.	Hypothesis Testing (4)	Finding significance levels
17.	Interval Estimation	An estimate of the mean
18.	Sampling X₁ - X₂	Testing differences in X